This is an archived copy of the 2019-2020 catalog. To access the most recent version of the catalog, please visit https://catalog.unl.edu.

Description

A strong mathematics background is essential to an increasing variety of careers. The Department of Mathematics encourages students to select a coherent body of courses in mathematics and in other disciplines that are consistent with their academic and career goals.

The Department of Mathematics offers a bachelor of arts program as well as a bachelor of science program with four specialty options. Each student pursuing the bachelor of science should select an option that meets their academic and career needs by completing a Program Declaration form in consultation with the department's faculty advisor. Ideally, this should be done prior to completing two mathematics courses beyond the calculus sequence. As appropriate, students can change their Program Declaration to select a different option or modify the program of study subject to the approval of the faculty advisor.
 

Program Assessment. In order to assist the department in evaluating its programs, all majors should plan to participate in an exit interview during their last semester before graduation. Please make arrangements with the faculty advisor.

Admission

College Admission

The entrance requirements for the College of Arts and Sciences are the same as the UNL General Admission Requirements. Students who are admitted through the Admission by Review process may have certain conditions attached to their enrollment at UNL. These conditions are explained under “Removal of Deficiencies.”

In addition to these requirements, the College of Arts and Sciences strongly recommends a third and fourth year of one foreign language in high school. Four years of high school coursework in the same language will fulfill the College of Arts and Sciences’ language requirement. It will also allow students to continue language study at a more advanced level at UNL, and provide more opportunity to study abroad.

Advising

Academic and Career Advising

The Academic and Career Advising Center in 107 Oldfather is a centrally located and easily accessed resource for students in all majors in the College of Arts and Sciences. The professional academic advisors and career coaches offer 1-1 meetings on a walk-in and appointment basis weekdays. Advisors will provide assistance choosing majors and minors, understanding degree requirements and academic policies, completing paperwork, meeting deadlines, adding/dropping courses, and planning for graduation. In addition, career coaches can help students identify career options related to their interests and connect them with experiences like internships, research, and more that will prepare them for those career options. These specially trained advisors and coaches also serve as first point of contact in the College for all incoming freshmen and transfer students during New Student Enrollment.

Students in the College who have declared a major will be assigned an academic advisor who is their first point of contact for a variety of questions. Academic advisors help students be successful in adjusting to UNL overall as well as making progress toward degree completion. The assigned advisor may be located within the department of their primary major, or in the Advising Center. Students can identify their assigned advisor in MyRED on the academics tab. In addition, faculty advisors are experts in their discipline, including advanced coursework and requirements, opportunities for research, student organizations, and considering graduate school in the discipline. Students who have declared a pre-health or pre-law area of interest will also work with advisors in the Exploratory and Pre-Professional Advising Center (Explore Center) in 127 Love Library South, who are specially trained to guide students preparing to enter a professional school.

For complete and current information on advisors for majors, minors, or pre-professional areas, contact the Arts and Sciences Academic and Career Advising Center, 107 Oldfather Hall, 402-472-4190, http://cas.unl.edu/advising.

College Degree Requirements

College Distribution Requirements

Bachelor of Arts or Bachelor of Science (16 hours + Language)

The College of Arts and Sciences distribution requirements are designed to ensure a breadth of courses within the liberal arts degree. By engaging in study in several different areas within the College, students develop the ability to learn in a variety of ways and apply their knowledge from a variety of perspectives. All requirements are in addition to University ACE requirements.

  • A student may not use a single course to satisfy both an ACE outcome and a College distribution requirement.
  • A student may not use a single course to satisfy more than one College Distribution Requirement. 
  • A student may not use a course from their primary major to satisfy the Breadth Requirement (F), but may apply an ancillary requirement of the primary major or a course from their second major toward this requirement.
  • Independent study, directed readings, or internship courses cannot be used to satisfy a College Distribution Requirement.
  • Cross-listed courses from interdisciplinary programs will be applied in the same area as courses from the home/cross-listed department.
College Distribution Requirements
CDR A - Written Communication3
Select from courses approved for ACE outcome 1.
CDR B and BL - Natural, Physical, and Mathematical Sciences with Lab4
Select from biochemistry, biological sciences, chemistry, computer science, geology, meteorology, mathematics, physics and statistics. Must include one lab in the natural or physical sciences. Lab courses may be selected from biochemistry, biological sciences, chemistry, geology, meteorology and physics.
Some courses from geography and anthropology may also be used to satisfy the lab requirement above. 1
CDR C - Humanities3
Select from classics, English, history, modern languages and literatures, philosophy, and religious studies. 2
CDR D - Social Science3
Select from anthropology, communication studies, geography, political science, psychology, or sociology. 3
CDR E - Language0-16
Fulfilled by the completion of the 6-credit-hour second-year sequence in a single foreign language in one of the following departments: Classics and religious studies, or modern languages and literatures. Instruction is currently available in Arabic, Chinese, Czech, French, German, Greek, Japanese, Latin, Russian, and Spanish.
A student who has completed the fourth-year level of one foreign language in high school is exempt from the languages requirement, but encouraged to continue on in their language study.
CDR F - Additional Breadth3
Select from natural, physical and mathematical sciences (Area B), humanities (Area C), or social sciences (Area D). Cannot be a course from the primary major.
Credit Hours Subtotal: 16-32

Scientific Base

Bachelor of Science Only (60 hours)

The bachelor of science degree requires students to complete 60 hours in mathematical, physical and natural sciences. Approved courses for scientific base credit come from the following College of Arts and Sciences disciplines: actuarial science, anthropology (selected courses), astronomy, biochemistry (excluding BIOC 101), biological sciences (excluding BIOS 100 or BIOS 203), chemistry (excluding CHEM 101), computer science (excluding CSCE 10), geography (selected courses), geology, life sciences, mathematics (excluding courses below MATH 104), meteorology, microbiology, physics and statistics.

See your degree audit or a College of Arts and Sciences advisor for a complete list including individual classes that fall outside of the disciplines listed above. Up to 12 hours of scientific and technical courses offered by other colleges may be accepted toward this requirement with approval of a college advisor.

Language Requirement

UNL and the College of Arts and Sciences place great value on academic exposure and proficiency in a second language. The UNL entrance requirement of two years of the same foreign language or the College’s language distribution requirement (CDR E) will rarely be waived and only with relevant documentation. See the main College of Arts and Sciences page for more details.

Minimum Hours Required for Graduation

A minimum of 120 semester hours of credit is required for graduation from the College of Arts and Sciences. A total grade point average of at least 2.0 is required.

Grade Rules

Restrictions on C- and D Grades

The College will accept no more than 15 semester hours of C- and D grades from other domestic institutions except for UNO and UNK. All courses taken at UNO and UNK impact the UNL transcript. No transfer of C- and D grades can be applied toward requirements in a major or a minor. No UNL C- and D grades can be applied toward requirements in a major or a minor. International coursework (including education abroad) with a final grade equivalent to a C- or lower will not be validated by College of Arts and Sciences departments to be degree applicable.

Pass/No Pass Privilege

The College of Arts and Sciences adheres to the University regulations for the Pass/No Pass (P/N) privilege with the following additional regulations:

  • Pass/No Pass hours can count toward fulfillment of University ACE requirements and college distribution requirements up to the 24-hour maximum.
  • Most arts and sciences departments and programs do not allow courses graded Pass/No Pass to apply to the major or minor. Students should refer to the department’s or program’s section of the catalog for clarification. By college rule, departments can allow up to 6 hours of Pass/No Pass in the major or minor.
  • Departments may specify that certain courses of theirs can be taken only on a P/N basis.
  • The college will permit no more than a total of 24 semester hours of P/N grades to be applied toward degree requirements. This total includes all Pass grades earned at UNL and other U.S. schools. NOTE: This 24-hour limit is more restrictive than the University regulation.

Grading Appeals

A student who feels that he/she has been unfairly graded must ordinarily take the following sequential steps in a timely manner, usually by initiating the appeal in the semester following the awarding of the grade:

  1. Talk with the instructor concerned. Most problems are resolved at this point.
  2. Talk to the instructor’s department chairperson.
  3. Take the case to the Grading Appeal Committee of the department concerned. The Committee should be contacted through the department chairperson.
  4. Take the case to the College Grading Appeals Committee by contacting the Dean’s Office, 1223 Oldfather Hall.

Course Level Requirements

Courses Numbered at the 300 or 400 Level

Thirty (30) of the 120 semester hours of credit must be in courses numbered at the 300 or 400 level. Of those 30 hours, 15 hours (1/2) must be completed in residence at UNL.

Residency Requirement

Students must complete at least 30 of the 120 total hours for their degree at UNL. Students must complete at least 1/2 of their major coursework including 6 hours at the 300 or 400 level in their major, and 15 of the 30 hours required at the 300 or 400 level in residence. Credit earned during education abroad may be used toward the residency requirement only if students register through UNL.

ACE Requirements

Consistent with the mission and values of the University, ACE is based on a shared set of four institutional objectives and ten student learning outcomes. The ACE program was approved by faculty in all eight undergraduate colleges and endorsed by the Faculty Senate, the student government, and the Academic Planning Committee in January 2008 for implementation in the fall 2009. ACE aligns with current national initiatives in general education.

To meet the ACE Program requirement, a student will complete a minimum of 3 credit hours for each of the ten ACE Student Learning Outcomes (a total of 30 ACE credit hours). See the ACE website at: http://ace.unl.edu for the most current information and the most recently certified courses.

Catalog to Use

Students must fulfill the requirements stated in the catalog for the academic year in which they are first admitted to and enrolled as a degree-seeking student at UNL. In consultation with advisors, a student may choose to follow a subsequent catalog for any academic year in which they are admitted to and enrolled as a degree-seeking student at UNL in the College of Arts and Sciences. Students must complete all degree requirements from a single catalog year. Beginning in 1990-1991 the catalog which a student follows for degree requirements may not be more than 10 years old at the time of graduation.

Learning Outcomes

Graduates of mathematics will be able to:

  1. Reason quantitatively, using numeric, algebraic, and analytic methods.
  2. Use mathematics to model and address real-world problems.
  3. Understand, create, and explain mathematical arguments, organized by means of definitions, results, proofs and examples.

Major Requirements

Bachelor of Science

Complete the core requirements and one of the following options: Standard, Education, Statistics, Mathematics of Physical Phenomena, Mathematical Biology, Mathematical Finance, Discrete Mathematics and Cryptography.

Core Requirements

Required Courses
MATH 106Calculus I5
MATH 107Calculus II4
MATH 314Linear Algebra3
Credit Hours Subtotal: 12
Option Courses
Select one of seven options described below to complete the major.30-43
Credit Hours Subtotal: 30-43
Total Credit Hours42-55

Standard Option

Recommended for students wishing to combine a strong mathematics education with research or a coherent body of coursework in another discipline.
 

Required Courses
MATH 208Calculus III4
MATH 221Differential Equations3
or STAT 380 Statistics and Applications
MATH 310Introduction to Modern Algebra3
MATH 325Elementary Analysis3
Credit Hours Subtotal: 13
Additional MATH Courses
Select four additional advanced MATH courses with at least two at the 400 level.12
Credit Hours Subtotal: 12
Minor, 2nd Major, or Research Experience
Students pursuing the Standard Option should accompany the math major with a minor, 2nd major, or approved 18-hour concentration in another area. An approved significant research experience including thesis, UCARE, or REU may be used.18
Credit Hours Subtotal: 18
Total Credit Hours43

Education Option

Recommended for students planning to pursue endorsement and certification to teach mathematics at the secondary level through an undergraduate degree in the College of Education and Human Sciences or through a graduate program.
 

Required Courses
MATH 208Calculus III4
MATH 310Introduction to Modern Algebra3
MATH 325Elementary Analysis3
MATH 350Geometry for High School Teaching3
MATH 405Discrete and Finite Mathematics for High School Teaching3
MATH 407Mathematics for High School Teaching I3
MATH 408Mathematics for High School Teaching II3
STAT 380Statistics and Applications3
Credit Hours Subtotal: 25
An education major or minor
Students pursuing the Education Option should accompany the math major with a 2nd major in education, likely through dual matriculation or intercollege study with the College of Education and Human Sciences. An education minor or approved 18-hour concentration related to education may also be used to meet this requirement.18
Credit Hours Subtotal: 18
Total Credit Hours43

Statistics Option

Recommended for students interested in a mathematics major and a strong body of coursework in statistics.
 

Required Courses
MATH 208Calculus III4
MATH 310Introduction to Modern Algebra3
MATH 325Elementary Analysis3
STAT 380Statistics and Applications3
Credit Hours Subtotal: 13
Additional Mathematics Courses
Select four additional advanced mathematics courses with at least two at the 400 level.12
Credit Hours Subtotal: 12
Additional Statistics Courses
Select three additional statistics courses at the 300 or 400 level.9
Credit Hours Subtotal: 9
Total Credit Hours34

Mathematics and Physical Phenomena Option

Recommended for students interested in pairing a strong mathematics education with a body of coursework concerning the physical world that we live in.
 

Required Courses
MATH 208Calculus III4
MATH 221Differential Equations3
MATH 309Introduction to Mathematical Proofs3
MATH 325Elementary Analysis3
Credit Hours Subtotal: 13
Additional Mathematics Courses
Select two additional advanced mathematics courses at the 400 level.6
Credit Hours Subtotal: 6
Physics Courses
PHYS 211General Physics I4
PHYS 212General Physics II4
Credit Hours Subtotal: 8
Physical Phemonena Sequence
Select and complete one of the following sequences from physics, meteorology, geology, or engineering:6-16
General Physics III
and Mechanics
General Physics III
and Thermal Physics
General Physics III
and Electromagnetic Theory
Mechanics
and Computational Physics
Weather and Climate
and Introduction to Atmospheric Science
and Atmospheric Thermodynamics
and Dynamic Meteorology I
Weather and Climate
and Introduction to Atmospheric Science
and Atmospheric Thermodynamics
and Physical Meteorology
Weather and Climate
and Introduction to Geophysics
and Water & Earth Connections
Dynamic Earth
and Introduction to Geophysics
and Water & Earth Connections
Environmental Geology
and Introduction to Geophysics
and Water & Earth Connections
Engineering Statics
and Fluid Mechanics
and Engineering Dynamics
Engineering Statics
and Introduction to Dynamics and Control of Engineering Systems
and Engineering Dynamics
Engineering Statics
and Engineering Dynamics
and Introduction to Mechanical Vibrations
Engineering Statics
and Engineering Dynamics
and Introduction to Finite Element Analysis
Engineering Statics
and Engineering Dynamics
and Advanced Dynamics
Engineering Statics
and Mechanics of Elastic Bodies
and Introduction to Finite Element Analysis
Electronics and Circuits I
and Electronics and Circuits II
and Signals and Systems I
and Communication Systems
Electronics and Circuits I
and Electronics and Circuits II
and Signals and Systems I
and Digital Signal Processing
Electronics and Circuits I
and Electromagnetic Field Theory
and Engineering Electromagnetics
Electronics and Circuits I
and Electromagnetic Field Theory
and Electromagnetic Theory and Applications
General Physics III
and Plasma Processing of Semiconductors
and Principles of Semiconductor Materials and Devices I
General Physics III
and Semiconductor Fundamentals II
and Principles of Semiconductor Materials and Devices I
Credit Hours Subtotal: 6-16
Total Credit Hours33-43

Mathematical Biology Option

Recommended for students interested in a mathematics major and a strong body of coursework concerning biology and the mathematics of biological science.
 

Required Courses
MATH 221Differential Equations3
MATH 309Introduction to Mathematical Proofs3
MATH 325Elementary Analysis3
MATH 439Mathematical Models in Biology3
STAT 380Statistics and Applications3
Credit Hours Subtotal: 15
Additional Mathematics Courses
Select two additional advanced mathematics courses at the 400 level.6
Credit Hours Subtotal: 6
Biological Sciences Courses
LIFE 120
LIFE 120L
Fundamentals of Biology I
and Fundamentals of Biology I laboratory
4
LIFE 121
LIFE 121L
Fundamentals of Biology II
and Fundamentals of Biology II Laboratory
4
Select one of the following sequences:7-8
General Genetics
and Applications of Bioinformatics
General Genetics
and Systems Biology
General Genetics
and Practical Bioinformatics Laboratory
Ecology and Evolution
and Predator Ecology
Ecology and Evolution
and Field Epidemiology
Credit Hours Subtotal: 15-16
Total Credit Hours36-37

Mathematical Finance Option

Recommended for students interested in a mathematics major and a strong body of coursework in actuarial science and finance.
 

Required Courses
MATH 208Calculus III4
MATH 221Differential Equations3
STAT 380Statistics and Applications3
Credit Hours Subtotal: 10
Additional Mathematics and Statistics Courses
Select two courses from the following:6
Introduction to Mathematical Proofs
Introduction to Modern Algebra
Elementary Analysis
MATH 487Probability Theory3-4
or STAT 462 Introduction to Mathematical Statistics I: Distribution Theory
MATH 489Stochastic Processes3
Select one additional advanced mathematics courses at the 400 level.3
Credit Hours Subtotal: 15-16
Actuarial Science or Finance Courses
ACTS 440Interest Theory4
ACTS 441Introduction to Financial Economics3
FINA 467AOptions, Futures and Derivative Securities for Actuarial Science3
Credit Hours Subtotal: 10
Total Credit Hours35-36

Discrete Mathematics and Cryptography Option

Recommended for students wishing to combine a strong mathematics education with a coherent body of coursework in computer science focused on discrete mathematics and cryptography.
 

Required Courses
MATH 208Calculus III3-4
or MATH 221 Differential Equations
or STAT 380 Statistics and Applications
MATH 309Introduction to Mathematical Proofs3
MATH 310Introduction to Modern Algebra3
Credit Hours Subtotal: 9-10
Additional Mathematics Courses
Select one course from the following:3
Group Theory
Principles of Operations Research
Number Theory
Combinatorics
Graph Theory
Select two additional advanced mathematics courses at the 400 level.6
Credit Hours Subtotal: 9
Computer Science Courses
CSCE 155AComputer Science I3
or CSCE 155E Computer Science I: Systems Engineering Focus
or CSCE 155H Honors: Computer Science I
or CSCE 155N Computer Science I: Engineering and Science Focus
or CSCE 155T Computer Science I: Informatics Focus
CSCE 311Data Structures and Algorithms for Informatics3
Select two courses from the following:6
Design and Analysis of Algorithms
Computational Complexity Theory
Automata, Computation, and Formal Languages
Data and Network Security
Cryptography and Computer Security
Credit Hours Subtotal: 12
Total Credit Hours30-31

Bachelor of Arts

The BA program is ideal for the student who wants to combine a mathematics major with another major or several minors in the humanities or the social sciences or for the student dual matriculating with another college.

Core Requirements

MATH 106Calculus I5
MATH 107Calculus II4
MATH 208Calculus III4
MATH 221Differential Equations3
or STAT 380 Statistics and Applications
MATH 310Introduction to Modern Algebra3
MATH 314Linear Algebra3
MATH 325Elementary Analysis3
Total Credit Hours25

 Specific Major Requirements

Additional Advanced Mathematics Courses
Select three additional advanced mathematics courses with at least two at the 400 level.9
Credit Hours Subtotal: 9
Total Credit Hours9

Additional Major Requirements

Restriction

Students with previous credit in any calculus course (that is, MATH 104 or MATH 106, MATH 107, or MATH 208 or their honors versions) may not register for or earn credit toward their degree with any math course numbered below 104 unless given permission by the math department advisor. All special topics, independent study, seminar, and reading courses require permission of the instructor before registering; and these courses do not count toward the major requirements unless approved by the faculty advisor.

Grade Rules

C- and D Grades

A grade of C or higher is required in all courses in the major or minor.

Pass/No Pass

No calculus course taken Pass/No Pass will count toward the major or minor. No more than 3 hours of the advanced courses taken as Pass/No Pass will be counted toward the major or minor.

Requirements for Minor Offered by Department

Plan A Minor (18-19 hours)

A complete calculus sequence plus two advanced mathematics courses OR two calculus courses with three advanced mathematics courses.
 

Required Calculus Courses
MATH 106Calculus I5
MATH 107Calculus II4
Credit Hours Subtotal: 9
Additional MATH Courses
Select three additional mathematics courses from the following:9-10
Calculus III
Advanced Mathematics Courses
Credit Hours Subtotal: 9-10
Total Credit Hours18-19

Plan B Minor (12-13 hours)

A complete calculus sequence OR complete two calculus courses plus one advanced mathematics course.
 

Required Calculus Courses
MATH 106Calculus I5
MATH 107Calculus II4
Credit Hours Subtotal: 9
Additional MATH Course
Select one additional mathematics course from the following:3-4
Calculus III
An Advanced Mathematics Course
Credit Hours Subtotal: 3-4
Total Credit Hours12-13

Restriction

Students with previous credit in any calculus course (that is, MATH 104 or MATH 106, MATH 107, or MATH 208 or their honors versions) may not register for or earn credit toward their degree with any math course numbered below 104 unless given permission by the math department advisor. All special topics, independent study, seminar, and reading courses require permission of the instructor before registering; and these courses do not count toward the major requirements unless approved by the faculty advisor.

Grade Rules

C- and D Grades

A grade of C or higher is required in all courses in the major or minor.

Pass/No Pass

No calculus course can be taken Pass/No Pass. No more than 3 hours of the advanced courses taken as Pass/No Pass will be counted toward the major or minor.

MATH100A
Intermediate Algebra

Prerequisites: Appropriate score on the Math Placement Exam.

Credit earned in MATH 100A will not count toward degree requirements.

Description: Review of the topics in a second-year high school algebra course taught at the college level. Includes: real numbers, 1st and 2nd degree equations and inequalities, linear systems, polynomials and rational expressions, exponents and radicals. Heavy emphasis on problem solving strategies and techniques.

This course is a prerequisite for: MATH 100A; MATH 101; MATH 103

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Introductory Mathematics

Credit Hours:3

ACE:

MATH101
College Algebra

Prerequisites: Appropriate score on the Math Placement Exam; or grade of P, C, or better in MATH 100A.

Credit for both MATH 101 and 103 is not allowed; students with previous credit in any calculus course (Math 104, 106, 107, or 208) may not earn credit for this course.

Description: Real numbers, exponents, factoring, linear and quadratic equations, absolute value, inequalities, functions, graphing, polynomial and rational functions, exponential and logarithmic functions, system of equations.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Introductory Mathematics

Credit Hours:3

ACE:

MATH102
Trigonometry

Prerequisites: Appropriate score on the Math Placement Exam; or grade of P, C, or better in MATH 101.

Credit for both MATH 102 and 103 is not allowed; students with previous credit in any calculus course (Math 104, 106, 107, or 208) may not earn credit for this course.

Description: Trigonometric functions, identities, trigonometric equations, solution of triangles, inverse trigonometric functions and graphs.

Course details
Credit Hours:2
Max credits per semester:2
Max credits per degree:2
Course Format:LEC
Groups:Introductory Mathematics

Credit Hours:2

ACE:

MATH103
College Algebra and Trigonometry

Prerequisites: Appropriate score on the Math Placement Exam; or grade of P, C, or better in MATH 100A.

Credit for both MATH 101 and 103 is not allowed; credit for both MATH 102 and MATH 103 is not allowed; students with previous credit in any calculus course (Math 104, 106, 107, or 208) may not earn credit for this course.

Description: First and second degree equations and inequalities, absolute value, functions, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions and identities, laws of sines and cosines, applications, polar coordinates, systems of equations, graphing, conic sections.

Course details
Credit Hours:5
Max credits per semester:5
Max credits per degree:5
Course Format:LEC
Groups:Introductory Mathematics

Credit Hours:5

ACE:

MATH104
Applied Calculus

Prerequisites: Appropriate score on the Math Placement Exam; or grade of P, C, or better in MATH 101, MATH 102 or MATH 103.

Description: Rudiments of differential and integral calculus with applications to problems from business, economics, and social sciences.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Introductory Mathematics
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:3

ACE:ACE 3 Math/Stat/Reasoning

MATH106
Calculus I

Prerequisites: Appropriate score on the Math Placement Exam; or grade of P, C, or better in MATH 102 or MATH 103.

Credit for both MATH 104 and MATH 106 is not allowed.

Description: Functions of one variable, limits, differentiation, exponential, trigonometric and inverse trigonometric functions, maximum-minimum, and basic integration theory (Riemann sums) with some applications.

Course details
Credit Hours:5
Max credits per semester:5
Max credits per degree:5
Course Format:LEC
Groups:Introductory Mathematics
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:5

ACE:ACE 3 Math/Stat/Reasoning

MATH107
Calculus II

Prerequisites: A grade of P, C or better in MATH 106.

Description: Integration theory; techniques of integration; applications of definite integrals; series, Taylor series, vectors, cross and dot products, lines and planes, space curves.

Course details
Credit Hours:4
Max credits per semester:4
Max credits per degree:4
Course Format:LEC
Groups:Introductory Mathematics
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:4

ACE:ACE 3 Math/Stat/Reasoning

MATH107H
Honors: Calculus II

Prerequisites: Good standing in the University Honors Program or by invitation; and a grade of "B" or better in MATH 106 or equivalent

Description: For course description, see MATH 107.

Course details
Credit Hours:4
Max credits per semester:4
Max credits per degree:4
Course Format:LEC
Groups:Introductory Mathematics
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:4

ACE:ACE 3 Math/Stat/Reasoning

MATH107R
Analytic Geometry and Calculus II

Prerequisites: A grade of P, C or better in MATH 106.

Open only to students who previously completed the 5 credit hour MATH 107 at UNL and wish to improve their grade.

Description: Integration theory, techniques of integration, applications of definite integrals, series, Taylor series, vectors, cross and dot products, lines and planes, space curves.

Course details
Credit Hours:5
Max credits per semester:5
Max credits per degree:5
Course Format:LEC

Credit Hours:5

ACE:

MATH189H
University Honors Seminar

Prerequisites: Good standing in the University Honors Program or by invitation; placement score on the Math Placement Examination (MPE) at the MATH 104-level or above.

Topics vary. A University Honors Seminar 189H is required of all students in the University Honors Program.

This course is a prerequisite for: METR 100; METR 140; PHYS 141; PHYS 260; PHYS 261

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Introductory Mathematics
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:3

ACE:ACE 3 Math/Stat/Reasoning

MATH198
Freshman Seminar

This course is a prerequisite for: METR 100; METR 140; PHYS 141; PHYS 260; PHYS 261

Course details
Credit Hours:1-3
Max credits per semester:3
Max credits per degree:24
Course Format:LEC
Groups:Seminars,Ind Study, Topics

Credit Hours:1-3

ACE:

MATH198H
Honors: Freshman Seminar

Prerequisites: Good standing in the University Honors Program or by invitation.

This course is a prerequisite for: METR 100; METR 140; PHYS 141; PHYS 260; PHYS 261

Course details
Credit Hours:1-3
Max credits per semester:3
Max credits per degree:6
Course Format:LEC
Groups:Seminars,Ind Study, Topics

Credit Hours:1-3

ACE:

MATH203
Contemporary Mathematics

Not open to students with credit or concurrent enrollment in MATH 106 or MATH 203J.

Description: Applications of quantitative reasoning and methods to problems and decision making in the areas of management, statistics, and social choice. Includes networks, critical paths, linear programming, sampling, central tendency, inference, voting methods, power index, game theory, and fair division problems.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Introductory Mathematics
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:3

ACE:ACE 3 Math/Stat/Reasoning

MATH203J
Contemporary Math

Prerequisites: Must be admitted to the College of Journalism

Not open to students with credit or concurrent enrollment in MATH 106 or MATH 203.

Description: Applications of quantitative reasoning and methods to problems and decisions making in areas of particular relevance to College of Journalism and Mass Communication, such as governance, finance, statistics, social choice, and graphical presentation of data. Financial mathematics, statistics and probability (sampling, central tendency, and inference), voting methods, power index, and fair division problems.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Introductory Mathematics
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:3

ACE:ACE 3 Math/Stat/Reasoning

MATH208
Calculus III

Prerequisites: A grade of P, C or better in MATH 107

Description: Vectors and surfaces, parametric equations and motion, functions of several variables, partial differentiation, maximum-minimum, Lagrange multipliers, multiple integration, vector fields, path integrals, Green's Theorem, and applications.

Course details
Credit Hours:4
Max credits per semester:4
Max credits per degree:4
Course Format:LEC
Groups:Introductory Mathematics
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:4

ACE:ACE 3 Math/Stat/Reasoning

MATH208H
Honors: Calculus III

Prerequisites: Good Standing in the University Honors Program and a grade of P, C, or better in MATH 107 or MATH 107H

Description: Vectors and surfaces, parametric equations and motion, functions of several variables, partial differentiation, maximum-minimum, Lagrange multipliers, multiple integration, vector fields, path integrals, Green's Theorem, and applications.

Course details
Credit Hours:4
Max credits per semester:4
Max credits per degree:4
Course Format:LEC
Groups:Introductory Mathematics
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:4

ACE:ACE 3 Math/Stat/Reasoning

MATH221
Differential Equations

Prerequisites: A grade of P, C, or better in MATH 107 or MATH 107H

Description: First- and second-order methods for ordinary differential equations including: separable, linear, Laplace transforms, linear systems, and some applications.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:3

ACE:ACE 3 Math/Stat/Reasoning

MATH221H
Honors:Differential Equations

Prerequisites: Good Standing in the University Honors Program and a grade of P, C, or better in MATH 107 or MATH 107H

Description: For course description, see MATH 221/821.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:3

ACE:ACE 3 Math/Stat/Reasoning

MATH300
Mathematics Matters

Prerequisites: TEAC 308 or TEAC 416D or parallel.

Credit toward the degree may be earned in only one of: MATH 300 or MATH 300M.

Description: Numbers and operations. Develop an understanding of mathematics taught in the elementary school.

This course is a prerequisite for: MATH 301; TEAC 297E; TEAC 308

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Introductory Mathematics

Credit Hours:3

ACE:

MATH300M
Mathematics as a Second Language

Prerequisites: Must be degree seeking in the College of Education & Human Sciences.

Open only to a middle grades teaching endorsement program student. Credit towards degree may be earned in only one of: MATH 300, or MATH 300M.

Description: Develop a deeper understanding of "number and operations". The importance of careful reasoning, problem solving, and communicating mathematics, both orally and in writing. Connections with other areas of mathematics and the need for developing the "habits of mind of a mathematical thinker".

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Introductory Mathematics

Credit Hours:3

ACE:

MATH301
Geometry Matters

Prerequisites: MATH 300, with a grade of C or Pass or better.

Credit towards the degree may be earned in only one of: MATH 301.

Description: Geometry and measurement. Develop an understanding of geometry as taught in the elementary school.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Introductory Mathematics

Credit Hours:3

ACE:

MATH302
Math Modeling

MATH 300 is a strongly recommended prerequisite. Intended for middle grades teaching endorsement majors with a mathematics emphasis and/or to elementary education majors who want a mathematics concentration.

Description: Using mathematics to model solutions or relationships for realistic problems taken from the middle school curriculum. The mathematics for these models are a mix of algebra, geometry, sequences (dynamical systems, queuing theory), functions (linear, exponential, logarithmic), and logic. Mathematical terminology, concepts and principles. Calculator based lab devices, graphing calculators, and computers as tools to collect data, to focus on concepts and ideas, and to made the mathematics more accessible.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Introductory Mathematics

Credit Hours:3

ACE:

MATH304
Experimentation, Conjecture, and Reasoning

Prerequisites: Must be degree seeking in the College of Education & Human Sciences.

Open only to middle grades teaching endorsement majors with a mathematics emphasis and/or to elementary education majors who want a mathematics concentration.

Description: How to express mathematical solutions and ideas logically and coherently in both written and oral forms in the context of problem solving. Inductive and deductive logical reasoning skills through problem solving. Present and critique logical arguments in verbal and written forms. Problem topics taken from topics nationally recommended for middle school mathematics.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Introductory Mathematics

Credit Hours:3

ACE:

MATH306
Number Theory and Cryptology for Middle Level Teachers

Prerequisites: Must be degree seeking in the College of Education & Human Sciences.

MATH 306 is open only to a middle school or elementary grades teaching endorsement program student.

Description: Basic number theory results which are needed to understand the number theoretic RSA cryptography algorithm. Primes, properties of congruences, divisibility tests, linear Diophantine equations, linear congruences, Chinese Remainder Theorem, Wilson's Theorem, Fermat's Little Theorem, Euler's Theorem, and Euler's phi function. Integers with connections to the middle school curriculum and mathematical reasoning.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Introductory Mathematics

Credit Hours:3

ACE:

MATH309
Introduction to Mathematical Proofs

Prerequisites: A grade of P, C, or better in MATH 107 or MATH 107H

Description: Basic set theory; elements of logic and types of proofs; induction; study of relations and functions; and cardinality of sets.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC

Credit Hours:3

ACE:

MATH310
Introduction to Modern Algebra

Prerequisites: A grade of P, C, or better in MATH 208 or MATH 208H

Description: Elementary number theory, including induction, the Fundamental Theorem of Arithmetic, and modular arithmetic. Introduction to rings and fields as natural extension of the integers. Particular emphasis on the study of polynomials with coefficients in the rational, real, or complex numbers.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH310H
Honors: Introduction to Modern Algebra

Prerequisites: Good Standing in the University Honors Program and a grade of P, C, or better in MATH 208 or MATH 208H

Description: For course description, see MATH 310.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH314
Linear Algebra

Prerequisites: A grade of P, C, or better in MATH 107 or MATH 107H

Description: Fundamental concepts of linear algebra, including properties of matrix arithmetic, systems of linearequations, vector spaces, inner products, determinants, eigenvalues and eigenvectors, and diagonalization.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:3

ACE:ACE 3 Math/Stat/Reasoning

MATH314H
Honors: Linear Algebra

Prerequisites: Good Standing in the University Honors Program and a grade of P, C, or better in MATH 107 or MATH 107H

Description: For course description, see MATH 314.

This course is a prerequisite for: MATH 405; MATH 435; MATH 442; MATH 456; MATH 471; MATH 809, MATH 409; MECH 350

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:3

ACE:ACE 3 Math/Stat/Reasoning

MATH316
Case Studies in Theoretical EcologyCrosslisted with BIOS 316, NRES 316

Prerequisites: MATH 106 or higher OR LIFE 121. Parallel registration in BIOS 316L.

Description: Introduction to biological literature, applied mathematics, computer programming, and/or statistical techniques relevant to field questions in ecology, evolution, and behavior. Typical mathematical topics include discrete dynamics, systems of differential equations, matrix algebra, or statistical inference and probability.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses
ACE Outcomes: ACE 4 Science

Credit Hours:3

ACE:ACE 4 Science

MATH322
Advanced CalculusCrosslisted with MATH 822

Description: Uniform convergence of sequences and series of functions, Green's theorem, Stoke's theorem, divergence theorem, line integrals, implicit and inverse function theorems, and general coordinate transformations.

This course is a prerequisite for: MATH 456; MECH 812; MECH 939; METR 965

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH325
Elementary Analysis

Prerequisites: A grade of P, C, or better in MATH 208 or MATH 208H

Description: An introduction to mathematical reasoning, construction of proofs, and careful mathematical writing in the context of continuous mathematics and calculus. Topics may include the real number system, limits and continuity, the derivative, integration, and compactness in terms of the real number system.

This course is a prerequisite for: MATH 425; MATH 430; MATH 450; MATH 452; MATH 471

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH350
Geometry for High School Teaching

Prerequisites: A grade of P, C, or better in MATH 310 or MATH 310H

NOT open to MATH majors EXCEPT those under degree option "E" who are seeking a secondary mathematics teaching endorsement.

Description: Modern elementary geometry, plane transformations and applications, the axiomatic approach, Euclidean constructions. Additional topics vary.

This course is a prerequisite for: MATH 408

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Introductory Mathematics

Credit Hours:3

ACE:

MATH398
Special Topics in Mathematics

Prerequisites: Permission.

Course details
Credit Hours:1-24
Max credits per semester:24
Max credits per degree:24
Course Format:LEC
Groups:Seminars,Ind Study, Topics

Credit Hours:1-24

ACE:

MATH399
Independent Study in Mathematics

Prerequisites: Permission.

Course details
Credit Hours:1-24
Max credits per semester:24
Max credits per degree:24
Course Format:IND
Groups:Seminars,Ind Study, Topics

Credit Hours:1-24

ACE:

MATH399H
Honors Course

Prerequisites: Permission.

Course details
Credit Hours:1-4
Max credits per semester:4
Max credits per degree:4
Course Format:IND
Groups:Seminars,Ind Study, Topics

Credit Hours:1-4

ACE:

MATH405
Discrete and Finite Mathematics for High School Teaching

Prerequisites: A grade of P, C, or better in MATH 314 or MATH 314H

Credit is not allowed for both CSCE 235 and MATH 405.

Description: Graphs and networks. Map coloring. Finite differences. Pascal's triangle. The Pigeonholed Principle. Markov chains. Linear programming. Game Theory.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH407
Mathematics for High School Teaching I

Prerequisites: MATH 208 and 310

NOT open to MATH majors EXCEPT those under degree option "E" who are seeking a secondary mathematics teaching endorsement.

Description: Analysis of the connections between college mathematics and high school algebra and precalculus.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH408
Mathematics for High School Teaching II

Prerequisites: MATH 310 and 350

NOT open to MATH majors EXCEPT those under degree option "E" who are seeking a secondary mathematics teaching endorsement.

Description: Analysis of the connections between college mathematics and high school algebra and geometry.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH409
Math for High School Teachers II, Using Math to Understand Our WorldCrosslisted with MATH 809

Prerequisites: MATH 310, MATH 314, MATH 380/STAT 380

Not open to MA or MS students in Mathematics. This course is for students seeking a mathematics major under the Education Option and for students in CEHS who are seeking their secondary mathematics teaching certificate.

Description: Designed around a series of projects in which students create mathematical models to examine the mathematics underlying several socially-relevant questions.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC

Credit Hours:3

ACE:

MATH415
Theory of Linear TransformationsCrosslisted with MATH 815

Prerequisites: MATH 314/814 and either MATH 325 or MATH 310

Description: Topics fundamental to the study of linear transformations on finite and infinite dimensional vector spaces over the real and complex number fields including: subspaces, direct sums, quotient spaces, dual spaces, matrix of a transformation, adjoint map, invariant subspaces, triangularization and diagonalization. Additional topics may include: Riesz Representation theorem, projections, normal operators, spectral theorem, polar decomposition, singular value decomposition, determinant as an n-linear functional, Cayley-Hamilton theorem, nilpotent operators, and Jordan canonical form.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC

Credit Hours:3

ACE:

MATH417
Group Theory

Prerequisites: A grade of P, C, or better in MATH 310 or MATH 310H

Description: Elementary group theory, including cyclic, dihedral, and permutation groups; subgroups, cosets, normality, and quotient groups; fundamental isomorphism theorems; the theorems of Cayley, Lagrange, and Cauchy; and if time allows, Sylow's theorems.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses
ACE Outcomes: ACE 10 Integrated Product

Credit Hours:3

ACE:ACE 10 Integrated Product

MATH423
Complex AnalysisCrosslisted with MATH 823

Prerequisites: A grade of P, C, or better in MATH 208 or MATH 208H

Description: Complex numbers, functions of complex variables, analytic functions, complex integration, Cauchy's integral formulas, Taylor and Laurent series, calculus of residues and contour integration, conformal mappings, harmonic functions. Applications of these concepts in engineering, physical sciences, and mathematics.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH424
Introduction to Partial Differential EquationsCrosslisted with MATH 824

Prerequisites: A grade of P, C, or better in MATH 221 or MATH 221H

Not open to MA or MS students in mathematics or statistics.

Description: Derivation of the heat, wave, and potential equations; separation of variables method of solution; solutions of boundary value problems by use of Fourier series, Fourier transforms, eigenfunction expansions with emphasis on the Bessel and Legendre functions; interpretations of solutions in various physical settings.

This course is a prerequisite for: MECH 812

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH425
Mathematical Analysis

Prerequisites: A grade of P, C, or better in MATH 325

Description: Real number system, topology of Euclidean space and metric spaces, compactness, sequences, series, convergence and uniform convergence, and continuity and uniform continuity.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH427
Mathematical Methods in the Physical SciencesCrosslisted with MATH 827

Prerequisites: A grade of P, C, or better in MATH 221 or MATH 221H

Not open to mathematics majors. Not open to MA or MS students in mathematics.

Description: Matrix operations, transformations, inverses, orthogonal matrices, rotations in space. Eigenvalues and eigenvectors, diagonalization, applications of diagonalization. Curvilinear coordinate systems, differential operations in curvilinear coordinate systems, Jacobians, changes of variables in multiple integration. Scalar, vector and tensor fields, tensor operations, applications or tensors. Complex function theory, integration by residues, conformal mappings.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH428
Principles of Operations ResearchCrosslisted with MATH 828

Prerequisites: MATH 314; STAT 380 or MECH 321.

Description: Introduction to techniques and applications of operations research. Includes linear programming, queueing theory, decision analysis, network analysis, and simulation.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses
ACE Outcomes: ACE 10 Integrated Product

Credit Hours:3

ACE:ACE 10 Integrated Product

MATH430
Ordinary Differential Equations

Prerequisites: MATH 221 or 221H; MATH 310 or MATH 310H or MATH 325.

Description: Qualitative behavior of solutions of systems of differential equations, including existence and uniqueness, extendibility, and periodic solutions. The Putzer algorithm, Floquet theory, matrix norms, linearization,stability theory, and period-doubling and chaos.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH432
Linear OptimizationCrosslisted with MATH 832

Prerequisites: MATH 314 or 314H; MATH 310 or 310H or MATH 325

Description: Mathematical theory of linear optimization, convex sets, simplex algorithm, duality, multiple objective linear programs, formulation of mathematical models.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH433
Nonlinear OptimizationCrosslisted with MATH 833

Prerequisites: MATH 314/814 and MATH 310 or MATH 325

Description: Mathematical theory of unconstrained and constrained optimization for nonlinear multivariate functions, particularly iterative methods, such as quasi-Newton methods, least squares optimization, and convex programming. Computer implementation of these methods.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH435
Math in the City

Prerequisites: MATH 221 or 221H and MATH 314 or 314H; or MATH 221 or 221H and STAT 380; or MATH 314 or 314H and STAT 380.

Description: A research experience modeling problems of current interest to the local community, businesses, or government.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
ACE Outcomes: ACE 10 Integrated Product

Credit Hours:3

ACE:ACE 10 Integrated Product

MATH439
Mathematical Models in BiologyCrosslisted with MATH 839

Prerequisites: A grade of P, C, or better in MATH 107 or MATH 107H

Has a small laboratory component.

Description: Discrete and continuous models in ecology: population models, predation, food webs, the spread of infectious diseases, and life histories. Elementary biochemical reaction kinetics; random processes in nature. Use of software for computation and graphics.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH440
Numerical Analysis ICrosslisted with CSCE 440, CSCE 840, MATH 840

Credit toward the degree may be earned in only one of the following: CSCE/MATH 440/840 and MECH 480/880.

Description: Principles of numerical computing and error analysis covering numerical error, root finding, systems of equations, interpolation, numerical differentiation and integration, and differential equations. Modeling real-world engineering problems on digital computers. Effects of floating point arithmetic.

This course is a prerequisite for: CSCE 942, MATH 942

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC

Credit Hours:3

ACE:

MATH441
Approximation of FunctionsCrosslisted with CSCE 441, CSCE 841, MATH 841

Description: Polynomial interpolation, uniform approximation, orthogonal polynomials, least-first-power approximation, polynomial and spline interpolation, approximation and interpolation by rational functions.

This course is a prerequisite for: CSCE 942, MATH 942

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH442
Methods of Applied Mathematics I

Prerequisites: MATH 221 and 314, or their equivalents.

Description: Derivation, analysis, and interpretation of mathematical models for problems in the physical and applied sciences. Scaling and dimensional analysis. Asymptotics, including regular and singular perturbation methods and asymptotic expansion of integrals. Calculus of variations.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH445
Number TheoryCrosslisted with MATH 845

Prerequisites: MATH 310 or 310H

Description: Fundamentals of number theory, including congruences, primality tests, factoring methods. Diophantine equations, quadratic reciprocity, continued fractions, and elliptic curves.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH447
Numerical Linear AlgebraCrosslisted with CSCE 447, CSCE 847, MATH 847

Prerequisites: MATH 314

Description: Mathematics and algorithms for numerically stable matrix and linear algebra computations, including solution of linear systems, computation of eigenvalues and eigenvectors, singular value decomposition, and QR decomposition.

This course is a prerequisite for: CSCE 942, MATH 942

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH450
Combinatorics

Prerequisites: MATH 310 or 310H or 325.

Description: Theory of enumeration and/or existence of arrangements of objects: Pideonhole principle, inclusion-exclusion, recurrence relations, generating functions, systems of distinct representatives, combinatorial designs and other applications.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH452
Graph Theory

Prerequisites: MATH 310 or MATH 325

Selected applications.

Description: Theory of directed and undirected graphs. Trees, circuits, subgraphs, matrix representations, coloring problems, and planar graphs. Methods which can be implemented by computer algorithms.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH456
Differential Geometry I

Prerequisites: MATH 221 or 221H; MATH 314 or 314H; and MATH 322.

Description: Introduction to a selection of topics in modern differential manifolds, vector bundles, vector fields, tensors, differential forms, Stoke's theorem, Riemannian and semi-Riemannian metrics, Lie Groups, connections, singularities. Includes gauge field theory, catastrophe theory, general relativity, fluid flow.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH465
Introduction to Mathematical LogicCrosslisted with MATH 865

Description: Semantical and syntactical developments of propositional logic, discussion of several propositional calculi, application of Boolean algebra and related topics, semantics and syntax of first order predicate logic including Godel's completeness theorem, the compactness theorem.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH471
Introduction to Topology

Prerequisites: MATH 314 and either MATH 325 or 310

Description: Elementary point-set and geometric topology. Point-set topics include topological spaces, continuous functions, homeomorphisms, connectedness, compactness, quotient spaces. Geometric topology topics include Euler characteristic, classification of surfaces, and other applications.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC

Credit Hours:3

ACE:

MATH487
Probability TheoryCrosslisted with MATH 887

Prerequisites: MATH 314 and one of MATH 309, MATH 310, or MATH 325

Description: Probability, conditional probability, Bayes' theorem, independence, discrete and continuous random variables, density and distribution functions, multivariate distributions, probability and moment generating functions, the central limit theorem, convergence of sequences of random variables, random walks, Poisson processes and applications.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC

Credit Hours:3

ACE:

MATH489
Stochastic ProcessesCrosslisted with MATH 889

Prerequisites: MATH 314 and STAT 380 (or STAT 880)

Description: Markov chains, continuous-time Markov processes, the Poisson process, Brownian motion, introduction to stochastic calculus.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:3
Course Format:LEC
Groups:Advanced Mathematics Courses
ACE Outcomes: ACE 10 Integrated Product

Credit Hours:3

ACE:ACE 10 Integrated Product

MATH495
Seminar

Prerequisites: MATH 208 or 208H; and permission.

Course details
Credit Hours:1-3
Max credits per semester:3
Max credits per degree:6
Course Format:LEC
Groups:Seminars,Ind Study, Topics

Credit Hours:1-3

ACE:

MATH496
Seminar in MathematicsCrosslisted with MATH 896

Prerequisites: Permission.

Description: Topics in one or more branches of mathematics.

Course details
Credit Hours:4.00
Max credits per semester:4
Max credits per degree:13
Course Format:LEC
Groups:Seminars,Ind Study, Topics

Credit Hours:4.00

ACE:

MATH497
Reading Course

Prerequisites: Permission.

Course details
Credit Hours:1-4
Max credits per semester:4
Max credits per degree:4
Course Format:IND
Groups:Seminars,Ind Study, Topics

Credit Hours:1-4

ACE:

PLEASE NOTE
This document represents a sample 4-year plan for degree completion with this major. Actual course selection and sequence may vary and should be discussed individually with your college or department academic advisor. Advisors also can help you plan other experiences to enrich your undergraduate education such as internships, education abroad, undergraduate research, learning communities, and service learning and community-based learning.


Mathematics (B.A.)

Icon Legend: CriticalCritical
16 HR TERM 1
Mathematics Core
complete MATH 106
5hr
C
MATH 106 will fulfill the ACE 3 requirement.

ACE 1 Written Texts
complete 1 from ACE1
3hr

ACE 6 Social Sciences
complete 1 from ACE6
3hr

CDR E: Language
recommend 1 or more courses
5hr
If not complete, choose a language course according to your placement and proficiency. CDR E is met after 4th level (202) of most languages.
15 HR TERM 2
Mathematics Core
complete MATH 107
4hr
C

CDR A: Writing
complete 1 from ACE1
3hr
Complete an additional course approved as ACE 1.

CDR E: Language
recommend 1 or more courses
5hr
If not complete, choose a language course according to your placement and proficiency. CDR E is met after 4th level (202) of most languages.

Electives
complete Any Course
3hr
In consultation with your advisor, select elective courses or courses that meet a 2nd major, minor, sci-base or upper level requirement.
14 HR TERM 3
Mathematics CoreCritical
complete MATH 208
4hr
C
MATH 208 becomes critical to your success in the major if not completed by the third term of enrollment.

ACE 2 Communication Skill
complete 1 from ACE2
3hr

CDR B: Math/Sci w/Lab
complete 1 from Approved Science Courses
3hr
Complete an approved course from a Math or Science discipline with a lab: ASTR, BIOC, BIOS, CHEM, CSCE, GEOL, LIFE, MATH, METR, PHYS, STAT (select ANTH or GEOG allowed).

CDR B: Lab
complete 1 from ASCLAB1
1hr
Complete an approved lab associated with a course from a Math or Science discipline: BIOS, CHEM, GEOL, LIFE, METR, PHYS (select ANTH or GEOG allowed).

CDR E: Language
recommend 1 or more courses
3hr
If not complete, choose a language course according to your placement and proficiency. CDR E is met after 4th level (202) of most languages.
15 HR TERM 4
Mathematics Core
complete MATH 314
3hr
C

Mathematics Core
complete either MATH 221 or STAT 380
3hr
C

ACE 4 Sciences
complete 1 from ACE4
3hr

CDR E: Language
recommend 1 or more courses
3hr
If not complete, choose a language course according to your placement and proficiency. CDR E is met after 4th level (202) of most languages.

Electives
complete Any Course
3hr
In consultation with your advisor, select elective courses or courses that meet a 2nd major, minor, sci-base or upper level requirement.
15 HR TERM 5
Mathematics CoreCritical
complete MATH 310
3hr
C
MATH 310 is ideally completed in the fifth term of enrollment. It becomes critical to your success in the major if not completed by the sixth term of enrollment.

ACE 5 Humanities
complete 1 from ACE5
3hr

ACE 8 Ethical Principles
complete 1 from ACE8
3hr

Electives
complete Any Course
6hr
In consultation with your advisor, select elective courses or courses that meet a 2nd major, minor, sci-base or upper level requirement.
15 HR TERM 6
Mathematics CoreCritical
complete MATH 325
3hr
C
MATH 325 becomes critical to your success in the major if not completed by the sixth term of enrollment.

ACE 7 Arts
complete 1 from ACE7
3hr

CDR C: Humanities
complete 1 from Any Arabic Course at the 300 Level, Any Classics Course, Any Czech Course at the 300 Level, Any Czech Course at the 400 Level, Any English Course, FREN 282, Any French Course at the 300 Level, Any French Course at the 400 Level, GERM 282, Any German Course at the 300 Level, Any German Course at the 400 Level, Any Greek Course at the 300 Level, Any Greek Course at the 400 Level, Any Hebrew Course at the 300 Level, Any History Course, Any Japanese Course at the 300 Level, Any Latin Course at the 300 Level, Any Latin Course at the 400 Level, Any Philosophy Course, Any Religious Studies Course at any Level, Any Russian Course at the 300 Level, Any Russian Course at the 400 Level, SPAN 264, SPAN 265, Any Spanish Course at the 300 Level, Any Spanish Course at the 400 Level
3hr
Complete an approved course from a Humanities discipline: ARAB, CLAS, CZEC, ENGL, FILM, FREN, GERM, GREK, HEBR, HIST, JAPN, LATN, PHIL, RELG, RUSS, SPAN.

Electives
complete Any Course
6hr
In consultation with your advisor, select elective courses or courses that meet a 2nd major, minor, sci-base or upper level requirement.
15 HR TERM 7
Advanced Math
complete Any Math Course at the 400 Level
6hr
C
Complete 2 approved advanced MATH courses at the 400 level, with one fulfilling the ACE 10 requirement.

CDR D: Social Sciences
complete 1 from Any Anthropology Course, Any Communications Course, Any Geography Course, Any National Securities Studies Course, Any Political Science Course, Any Psychology Course, Any Sociology Course
3hr
Complete an approved course from a Social Science discipline: ANTH, COMM, GEOG, NSST, POLS, PSYC, SOCI.

ACE 9 Global/Human Divers
complete 1 from ACE9
3hr

Electives
complete Any Course
3hr
In consultation with your advisor, select elective courses or courses that meet a 2nd major, minor, sci-base or upper level requirement.
15 HR TERM 8
Advanced Math
complete either Any Math Course at the 300 Level* or Any Math Course at the 400 Level*
3hr
C
Complete one approved Advanced Math course.

CDR F: Additional Breadth
recommend 1 or more courses
3hr
Complete an approved additional courses from CDR B, CDR C, or CDR D that is outside of the discipline of your primary major.

Electives
complete Any Course
9hr
In consultation with your advisor, select elective courses or courses that meet a 2nd major, minor, sci-base or upper level requirement.
Graduation Requirements
  1. A minimum 2.00 GPA required for graduation.
  2. ***Total Credits Applying Toward 120 Total Hours***
  3. Complete 30 hours in residence at UNL.
    4. Complete 30 hours at the 300 or 400 level.


Mathematics - sTANDARD (B.S.)

Icon Legend: CriticalCritical
16 HR TERM 1
Mathematics Core
complete MATH 106
5hr
C
MATH 106 will fulfill the ACE 3 requirement.

ACE 1 Written Texts
complete 1 from ACE1
3hr

ACE 6 Social Sciences
complete 1 from ACE6
3hr

CDR E: Language
recommend 1 or more courses
5hr
If not complete, choose a language course according to your placement and proficiency. CDR E is met after 4th level (202) of most languages.
15 HR TERM 2
Mathematics Core
complete MATH 107
4hr
C

CDR A: Writing
complete 1 from ACE1
3hr
Complete an additional course approved as ACE 1.

ACE 4 Sciences
complete 1 from ACE4
3hr

CDR E: Language
recommend 1 or more courses
5hr
If not complete, choose a language course according to your placement and proficiency. CDR E is met after 4th level (202) of most languages.
14 HR TERM 3
Math Option CourseCritical
complete MATH 208
4hr
C
MATH 208 becomes critical to your success in the major if not completed by the third term of enrollment.

Math Option Courses
complete either MATH 221 or STAT 380
3hr
C

CDR B: Math/Sci w/Lab
complete 1 from Approved Science Courses
3hr
Complete an approved course from a Math or Science discipline with a lab: ASTR, BIOC, BIOS, CHEM, CSCE, GEOL, LIFE, MATH, METR, PHYS, STAT (select ANTH or GEOG allowed).

CDR B: Lab
complete 1 from ASCLAB1
1hr
Complete an approved lab associated with a course from a Math or Science discipline: BIOS, CHEM, GEOL, LIFE, METR, PHYS (select ANTH or GEOG allowed).

CDR E: Language
recommend 1 or more courses
3hr
If not complete, choose a language course according to your placement and proficiency. CDR E is met after 4th level (202) of most languages.
15 HR TERM 4
Math Option Courses
complete MATH 310
3hr
C

Mathematics CoreCritical
complete MATH 314
3hr
C

ACE 2 Communication Skill
complete 1 from ACE2
3hr

CDR E: Language
recommend 1 or more courses
3hr
If not complete, choose a language course according to your placement and proficiency. CDR E is met after 4th level (202) of most languages.

Electives
complete Any Course
3hr
In consultation with your advisor, select elective courses or courses that meet a 2nd major, minor, sci-base or upper level requirement.
15 HR TERM 5
Math Option Courses
complete MATH 325
3hr
C

ACE 5 Humanities
complete 1 from ACE5
3hr

ACE 7 Arts
complete 1 from ACE7
3hr

Electives
complete Any Course
6hr
In consultation with your advisor, select elective courses or courses that meet a 2nd major, minor, sci-base or upper level requirement.

Milestones
  1. You must declare a required minor by this term.
15 HR TERM 6
Math Option Courses
complete Any Math Course at the 300 Level*, Any Math Course at the 400 Level*
6hr
C
Complete an approved advanced Math course at the 400 level and an approved advanced Math course at any level.

ACE 9 Global/Human Divers
complete 1 from ACE9
3hr

CDR C: Humanities
complete 1 from Any Arabic Course at the 300 Level, Any Classics Course, Any Czech Course at the 300 Level, Any Czech Course at the 400 Level, Any English Course, FREN 282, Any French Course at the 300 Level, Any French Course at the 400 Level, GERM 282, Any German Course at the 300 Level, Any German Course at the 400 Level, Any Greek Course at the 300 Level, Any Greek Course at the 400 Level, Any Hebrew Course at the 300 Level, Any History Course, Any Japanese Course at the 300 Level, Any Latin Course at the 300 Level, Any Latin Course at the 400 Level, Any Philosophy Course, Any Religious Studies Course at any Level, Any Russian Course at the 300 Level, Any Russian Course at the 400 Level, SPAN 264, SPAN 265, Any Spanish Course at the 300 Level, Any Spanish Course at the 400 Level
3hr
Complete an approved course from a Humanities discipline: ARAB, CLAS, CZEC, ENGL, FILM, FREN, GERM, GREK, HEBR, HIST, JAPN, LATN, PHIL, RELG, RUSS, SPAN.

Electives
complete Any Course
3hr
In consultation with your advisor, select elective courses or courses that meet a 2nd major, minor, sci-base or upper level requirement.
15 HR TERM 7
Math Option Courses
complete Any Math Course at the 400 Level*
3hr
C
Complete a 400 level MATH course that will fulfill the ACE 10 requirement.

ACE 8 Ethical Principles
complete 1 from ACE8
3hr

Electives
complete Any Course
9hr
In consultation with your advisor, select elective courses or courses that meet a 2nd major, minor, sci-base or upper level requirement.
15 HR TERM 8
Math Option Courses
complete either Any Math Course at the 300 Level* or Any Math Course at the 400 Level*
3hr
C

CDR D: Social Sciences
complete 1 from Any Anthropology Course, Any Communications Course, Any Geography Course, Any National Securities Studies Course, Any Political Science Course, Any Psychology Course, Any Sociology Course
3hr
Complete an approved course from a Social Science discipline: ANTH, COMM, GEOG, NSST, POLS, PSYC, SOCI.

CDR F: Additional Breadth
complete 1 from Any Classics Course, Any Czech Course at the 300 Level, Any Czech Course at the 400 Level, Any English Course, FREN 282, Any French Course at the 300 Level, Any French Course at the 400 Level, GERM 282, Any German Course at the 300 Level, Any German Course at the 400 Level, Any Greek Course at the 300 Level, Any Greek Course at the 400 Level, Any Hebrew Course at the 300 Level, Any History Course, Any Japanese Course at the 300 Level, Any Latin Course at the 300 Level, Any Latin Course at the 400 Level, Any Philosophy Course, Any Religious Studies Course at any Level, Any Russian Course at the 300 Level, Any Russian Course at the 400 Level, SPAN 264, SPAN 265, Any Spanish Course at the 300 Level, Any Spanish Course at the 400 Level, Any Astronomy Course, Any Biochemistry Course, Any Biological Science Course, Any Chemistry Course, Any Computer Science Course, Any Geology Course, LIFE 120, LIFE 121, Any Meteorology Course, Any Physics Course, Any Anthropology Course, Any Communications Course, Any Geography Course, Any National Securities Studies Course, Any Political Science Course, Any Psychology Course, Any Sociology Course
3hr
Complete an approved additional courses from CDR B, CDR C, or CDR D that is outside of the discipline of your primary major.

Electives
complete Any Course
6hr
In consultation with your advisor, select elective courses or courses that meet a 2nd major, minor, sci-base or upper level requirement.
Graduation Requirements
  1. A minimum 2.00 GPA required for graduation.
  2. ***Total Credits Applying Toward 120 Total Hours***
  3. Complete 30 hours in residence at UNL.
    4. Complete 30 hours at the 300 or 400 level.
    5. Complete 60 hours of Scientific-Base courses in the Natural and Mathematical Sciences.

Career Information

The following represents a sample of the internships, jobs and graduate school programs that current students and recent graduates have reported.

Transferable Skills

  • Apply mathematical and scientific skills to solve real-world problems
  • Develop basic techniques of statistical analysis
  • Analyze and explain data
  • Make predictions using mathematical, statistical, and scientific modeling methods
  • Simplify complex information and present it to others
  • Examine problems from multiple perspectives
  • Use quantitative analysis techniques
  • Use qualitative analysis techniques

Jobs of Recent Graduates

  • Business Analyst, Sandhills Publishing - Lincoln NE
  • Quality Assurance Analyst, Nanonation - Lincoln NE
  • Implementation Consultant, Fast Enterprises - Centennial CO
  • Data Engineer, Hudl - Lincoln NE
  • Website Production Support, Cabela's - Omaha NE
  • Programmer/Analyst, Centrix Solutions, Inc. - Lincoln NE
  • Math Teacher, Omaha Public Schools - Omaha NE
  • Actuary, CNA Insurance - Chicago IL
  • Social Insurance Specialist, Social Security - Kansas City MO
  • Statistical Analyst, Experian - Lincoln NE

Internships

  • Data Science Intern, The Hartford Insurance Company - Hartford CT
  • Actuarial Intern, Lincoln Financial Group - Omaha NE
  • Intern, American Embassy - Berlin, Germany
  • Programming Intern, Firespring - Lincoln NE
  • Intern, Nebraska Human Resources Institute - Lincoln NE
  • Intern, Bureau of Sociological Research - Lincoln NE
  • Software Development Intern, Tigerpaw Software - Bellevue NE
  • Intern, Tetrad Property Group - Lincoln NE
  • Summer Intern, Southwestern - Nationwide
  • Intern - Group Actuarial, Ameritas Life Insurance Corp. - Lincoln NE

Graduate & Professional Schools

  • Ph. D., Mathematics, University of Nebraska-Lincoln - Lincoln NE
  • Ph.D., Physics, University of Nebraska-Lincoln - Lincoln NE
  • Ph.D., Economics, University of Tennessee - Knoxville TN
  • Master's Degree, Computer Science, University of Malaya - Kuala Lumpur ZZ
  • Ph.D., Neural Computation, Center for Neural Basis of Cognition - Pittsburgh PA
  • Doctor of Physcial Therapy, Creighton University - Omaha NE
  • Ph.D., Statistics, University of Nebraska-Lincoln - Lincoln NE
  • Master's Degree, System Engineering, University of Pennsylvania - Philadelphia PA
  • Master's Degree, Biostaticis, University of Southern California - Los Angeles CA
  • Ph.D., Agricultural & Resource Economics, University of California, Berkley - Berkley CA