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.

College Requirements

College 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. 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.

Transfer Students

To be considered for admission as a transfer student, Nebraska resident or nonresident, students must have an accumulated average of C (2.0 on a 4.0 scale) and a minimum C average in the last semester of attendance at another college. Transfer students who graduated from high school January 1997 and after must also meet the UNL General Admission Requirements. Those transfer students who graduated before January 1997 must have completed in high school, 3 years of English, 2 years of the same foreign language, 2 years of algebra, and 1 year of geometry. Transfer students who have completed less than 12 credit hours of college study must also submit either their ACT or SAT scores.

Ordinarily, hours earned at a similarly accredited college or university are applicable to the UNL degree.  The College, however, will evaluate all hours submitted on an application for transfer, and reserves the right to accept or reject any of them, based upon its exclusion and restriction policies. Sixty is the maximum number of hours the University will accept on transfer from a two-year college or international institution. Transfer credit in the major or minor must be approved by the departmental advisor on a Request for Substitution Form to meet specific course requirements, group requirements, or course level requirements in the major or minor. At least half of the hours in the major field must be completed at the University regardless of the number of hours transferred.

The College of Arts and Sciences will accept no more than 15 semester hours of C- and D grades from other schools. The C- and D grades cannot be applied toward requirements for a major or minor. This policy does not apply to the transfer of grades from UNO or UNK to UNL. All D grades may be transferred from UNO or UNK, but they are not applicable to a major or minor.

Readmitted Students

UNL students who choose not to take courses for more than 2 consecutive terms, must reapply to UNL.  Students readmitted to the College of Arts and Sciences will follow the requirements stated in the catalog for the academic year of readmission and re-enrollment as a degree-seeking student in Arts and Sciences. In consultation with advisors, a student may choose to follow a 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.

Admission Deficiencies/Removal of Deficiencies

Students must remove entrance deficiencies in geometry and foreign language as soon as possible, and before graduating from the College of Arts and Sciences.  For questions and more information, students should consult a college advisor in the Academic and Career Advising Center in 107 Oldfather Hall.

Removing Foreign Language Deficiencies

Students must complete the second semester of a first year language sequence to clear the deficiency and the second semester of the second year language sequence to complete the college graduation requirement in language.

Removing Geometry Deficiencies

A deficiency of one year of geometry can be removed by taking high school geometry courses through an approved independent study program, or by completing a geometry course from an accredited community college or a four-year institution. Neither of these options will count for college credit.

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 further the purposes of liberal education by encouraging study in several different areas within the College. All requirements are in addition to University ACE requirements. A student may not use a single course to satisfy more than one of the following five distribution requirements. A student cannot use a single course to satisfy both an ACE outcome and a College distribution requirement. A student cannot 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 or reading courses and internships cannot be used to satisfy distribution requirements. To see a complete list of excluded courses, run a degree audit through MyRED.

Courses from interdisciplinary programs will count in the same area as courses from the home/cross-listed department(s).
 

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. Select courses from geography1 and anthropology1 may also be used to satisfy the lab requirement.
CDR C - Humanities3
Select from classics2, English, history, modern languages and literatures2, philosophy, and religious studies2.
CDR D - Social Science3
Select from: anthropology3, communication studies, geography3, political science, psychology3, or sociology.
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, modern languages and literatures, or anthropology. Instruction is currently available in Arabic, Chinese, Czech, French, German, Greek, Japanese, Latin, Omaha, 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.
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
1

See degree audit or a College of Arts and Sciences advisor for approved geography and anthropology courses that apply as natural science.

2

Language courses numbered 210 or below apply only for the foreign language requirement.

3

See degree audit or College of Arts and Sciences advisor for list of natural/physical science courses in anthropology, geography, and psychology that do not apply as social science.

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 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.

Foreign Languages/Language Requirement

Languages Exemption Policy

UNL and the College of Arts and Sciences will exempt or waive students from the UNL entrance requirement of two years of the same foreign language or from the College’s language distribution requirement based on documentation only. The following are the options and procedures for documentation:

High School Transcripts

For the University entrance requirement, students must show an official high school transcript with two or more years of the same foreign language.

For the College of Arts and Sciences College Distribution Requirement E-Language, students must show an official high school transcript with four or more years of the same foreign language in high school, or show evidence of graduation from a non-English-speaking foreign high school. Students whose native language is not English must show English as a Second Language study on an official high school transcript. Four years of ESL at the high school level (9th, 10th, 11th and 12th grades) will be the basis for a waiver of the CDR E Language requirement.

Proficiency Examination at UNL

For the University entrance requirement, students who do not have transcript documentation can request to take a proficiency exam in the language. (This is not the same test as the Modern Languages Placement Exam.) However, UNL will provide testing only in the languages it teaches. Currently, these languages are: Arabic, French, German, Spanish, Russian, Czech, Japanese, Chinese.

For the College of Arts and Sciences College Distribution Requirement E-Language, the Department of Modern Languages will oversee the test at the 202 level. If the student passes the test, the department will sign the College Request for Waiver form and indicate the level of proficiency. The form is then forwarded to the Arts and Sciences Advising Center for approval.

The Department of Modern Languages will oversee the test and provide written documentation to the Arts and Sciences Advising Center the level of proficiency passed.

Distance Education

For the University entrance requirement, students without transcript documentation who claim proficiency in a language not taught at UNL, have the option of seeking out a distance education program in languages. If the student completes the equivalent of 102 from an approved distance education program, the student will meet the UNL entrance requirement. The student must have the course work approved before he/she takes/completes the course as equivalent to 102 by a College advisor. The student then completes the course and has the distance education program send the transcript to the Admissions Office.

For the College of Arts and Sciences College Distribution Requirement E-Language, the student can seek out a distance education program and complete the equivalent of the 202-level course. The student must submit the request on the College Request for Substitution form and have the course work approved by a College advisor. The student then completes the course and has the distance education program send the transcript to the Admissions Office.

Third Language Option

If a student demonstrates knowledge of two foreign languages at the 102 level, the College of Arts and Sciences may consider waiving two semesters of the four semester College Distribution Requirement E-Languages requirement. If this waiver were granted, the student would then be required to complete 101 and 102 in another, 3rd foreign language at UNL.

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 schools except for UNO and UNK. No transfer 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.

Pass/No Pass Privilege

University regulations for the Pass/No Pass (P/N) privilege state:

  • The Pass/No Pass option is designed for your use by seeking to expand your intellectual horizons by taking courses in areas where you may have had minimal preparation.
  • Neither the P nor the N grade contribute to your GPA.
  • P is interpreted to mean C or above.
  • A change to or from a Pass/No Pass may be made until mid-term (see academic calendar for specific dates per term).
  • The Pass/No Pass or grade registration cannot conflict with the policy of the professor, department, college, or University governing the grading option.
  • Changing to or from Pass/No Pass requires using the MyRED system to change the grading option or filing a Drop/Add form with the Office of the University Registrar, 107 Canfield Administration Building. After mid-term of the course, a student registered for Pass/No Pass cannot change to a grade registration unless the Pass/No Pass registration is in conflict with the policy of the professor, department, college, or University governing Pass/No Pass.
  • The Pass/No Pass grading option cannot be used for the removal of C- or D or F grades.

Pass/No Pass privileges in the College of Arts and Sciences are extended to students according to 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 above 299

Thirty of the 120 semester hours of credit must be in courses numbered above 299. Of the 30 hours above 299, 15 hours (1/2) must be completed in residence at UNL.

Graduate Courses

Seniors in the University who have obtained in advance the approval of the dean for Graduate Studies may receive up to 12 hours credit for graduate courses taken in addition to the courses necessary to complete their undergraduate work, provided that such credits are earned within the calendar year prior to receipt of the baccalaureate. For procedures, inquire at the Office of Graduate Studies.

Course work taken prior to receipt of the baccalaureate may not always be accepted for transfer to other institutions as graduate work.

Residency

Residency Requirement and Open Enrollment and Summer Independent Study Courses

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 course work including 6 hours above 299 in their major, and 15 of the 30 hours required above 299 in residence. Credit earned during education abroad may be used toward the residency requirement if students register through UNL and participate in prior-approved education abroad programs. UNL open enrollment and summer independent study courses count toward residence.

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.

Key characteristics of ACE demonstrate the benefits of the program to students:
 

  • Students receive a broad education with exposure to multiple disciplines, critical life skills and important reasoning, inquiry, and civic capacities.
  • ACE is simple and transparent for students, faculty and advisors. Students complete the equivalent of 3 credit hours for each of the ten student learning outcomes.
  • Students connect and integrate their ACE experiences with their selected major.
  • Students can transfer all ACE certified courses across colleges within the institution to meet the ACE requirement and any course from outside the institution that is directly equivalent to a UNL ACE-certified course. Courses from outside institutions without direct equivalents may be considered with appropriate documentation for ACE credit (see academic advisor).

ACE allows faculty to assess and improve their effectiveness and facilitate students’ learning.

ACE Institutional Objectives and Student Learning Outcomes

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 Rule

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

Majors in 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 four options: Concentration, Education, Statistics, or Research.

Core Requirements

MATH 106Calculus I5
MATH 107Calculus II4
MATH 208Calculus III4
MATH 310Introduction to Modern Algebra3
MATH 314Linear Algebra3
MATH 325Elementary Analysis3
Total Credit Hours22

Specific Major Requirements

Select and complete one of the following options: Concentration, Education, Research, or Statistics. Under any option, students may substitute a more advanced course in the same area for a required mathematics course.

Option C (Concentration)

This option is ideal for students wishing to combine a strong mathematics education with a coherent body of coursework in another discipline.
 

Option C Mathematics Courses
Select one course from:3
Differential Equations
Statistics and Applications
Four additional advanced MATH courses with at least two at the 400 level. 112
Credit Hours Subtotal: 15
Any Plan A minor or an approved 18 hour concentration
1

One 400-level course in the area of the concentration may be substituted for one of the required two additional 400 level advanced mathematics courses, provided the course makes significant use of advanced mathematics. The faculty advisor must approve the substitution. 

Option E (Education)

This option is ideal 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.
 

Option E Mathematics Courses
MATH 350Geometry for High School Teaching3
MATH 380 / STAT 380Statistics and Applications3
MATH 405Discrete and Finite Mathematics for High School Teaching3
MATH 407Mathematics for High School Teaching I3
MATH 408Mathematics for High School Teaching II3
Credit Hours Subtotal: 15
An education major, minor, or approved 18-hour concentration
Option R (Research Experience)

This option is recommended for students interested in independent work and for students planning to pursue graduate work in mathematics.
 

Option R Mathematics Courses
MATH 221Differential Equations3
Four additional advanced mathematics courses with at least three at the 400 level.12
Credit Hours Subtotal: 15
An approved undergraduate research experience
A variety of options exist for meeting this re quirement including a senior thesis, or an REU or UCARE experience that leads to a project or paper. Students must file a plan with the faculty advisor.
Option S (Statistics)

This option is recommended for students interested in a mathematics major and a strong body of course work in statistics.
 

Option S Mathematics Courses
MATH 380 / STAT 380Statistics and Applications3
Four additional advanced mathematics courses with at least two at the 400 level. 112
Credit Hours Subtotal: 15
Statistics Courses
Select three additional statistics courses at 300 or 400 level.9
Credit Hours Subtotal: 9
1

 One 400-level statistics course may be substituted for one of the required two 400 level additional advanced mathematics courses, provided the course makes significant use of advanced mathematics. The faculty advisor must approve the substitution.

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 310Introduction to Modern Algebra3
MATH 314Linear Algebra3
MATH 325Elementary Analysis3
MATH 221Differential Equations3
or MATH 380 / STAT 380 Statistics and Applications
Total Credit Hours25

 Specific Major Requirements (9 hours)

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

Prerequisite Requirements/Rules

The prerequisites listed for a course may be replaced by equivalent preparation. One prerequisite for all advanced mathematics courses is successful completion of MATH 106, MATH 107, MATH 208. Two courses past calculus are required prerequisites for all 400-level mathematics courses. All topics, independent study, reading courses and seminars 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.

Requirements for Minor Offered by Department

Plan A Minor (19 hours)

A complete calculus sequence plus two advanced mathematics courses.
 

MATH 106Calculus I5
MATH 107Calculus II4
MATH 208Calculus III4
Two advanced mathematics courses6
Total Credit Hours19

Plan B Minor (13 hours)

A complete calculus sequence.
 

MATH 106Calculus I5
MATH 107Calculus II4
MATH 208Calculus III4
Total Credit Hours13

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: One year high school algebra and 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 placement exam score and either two years of high school algebra or a grade of P, C, or better in MATH 100A

Credit for both MATH 101 and 103 is not allowed.

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.

This course is a prerequisite for: CRIM 300; MATH 101; MATH 102; MATH 104; METR 100

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: One year high school geometry and either two years high school algebra, one semester high school precalculus, and a qualifying score on the Math Placement Exam; or a grade of C, P, or better in MATH 101

Credit toward the degree may be earned in only one of MATH 102 or 103.

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 placement exam score, one year high school geometry, and two years high school algebra. For students with previous college math courses, permission is also required

For students with previous college math courses, permission is also required.

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 placement exam score or a grade of P (pass), or C or better in MATH 101

Credit for both MATH 104 and 106 is not allowed.

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: One year high school geometry; two years algebra and one year precalculus-trigonometry in high school or MATH 102 or Math 103 or equivalent

Credit for both MATH 104 and Math 106 is not allowed. Math Placement Policy applies.

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

Credit Hours:4

ACE:

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
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:5

ACE:ACE 3 Math/Stat/Reasoning

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

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

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

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

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

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 or by invitation

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 EquationsCrosslisted with MATH 821

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

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
Groups:Advanced Mathematics Courses
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 or by invitation

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
Groups:Advanced Mathematics Courses
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:3

ACE:ACE 3 Math/Stat/Reasoning

MATH238
Mathematical Methods for Biology and MedicineCrosslisted with MATH 838

Prerequisites: Grade of P, C, or better in MATH 106/106B or MATH 108H.

MATH 838 will not count toward a MA or MS degree in MATH or STAT. Some computation and visualizations in MATH 238/838 will be done with Matlab.

Description: Mathematical modeling, discrete and continuous probability, parameter estimation, discrete and continuous dynamical systems, and Markov chains. Application of mathematical models in the life sciences. Methods include regression analysis, cobweb diagrams, the phase line, nullcline analysis, eigenvalue analysis, linearization, and likelihood analysis. Applications include fisheries, stage-structured populations, pharmacokinetics, epidemiology, and medical testing.

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

Credit Hours:5

ACE:

MATH300
Mathematics Matters

Prerequisites: Parallel TEAC 308 or Parallel TEAC 416D; admission to the College of Education and Human Sciences; removal of any mathematics entrance deficiencies.

Credit toward the degree may be earned in only one of: MATH 300 or MATH 300M. MATH 300 is designed for elementary education majors with mathematics as an area of concentration..

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

This course is a prerequisite for: 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: Admission to the College of Education and Human Sciences.

MATH 300M is designed to strengthen the mathematics knowledge of the middle-level mathematics teacher. MATH 300M is 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.

Designed for elementary education majors with mathematics as an area of concentration. 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

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. Math 300 is a strongly recommended prerequisite. Math 302 is intended for middle grades teaching endorsement majors with a mathematics emphasis and/or to elementary education majors who want a mathematics concentration.

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: Admission to the College of Education and Human Sciences.

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: Admission to the College of Education and Human Sciences.

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:

MATH310
Introduction to Modern Algebra

Prerequisites: MATH 208

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
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:3

ACE:ACE 3 Math/Stat/Reasoning

MATH310H
Honors: Introduction to Modern Algebra

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

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
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:3

ACE:ACE 3 Math/Stat/Reasoning

MATH314
Linear AlgebraCrosslisted with MATH 814

Prerequisites: MATH 208

Not open to MA or MS students in mathematics or statistics

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

This course is a prerequisite for: MATH 405; MATH 442; 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
Groups:Advanced Mathematics Courses
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:3

ACE:ACE 3 Math/Stat/Reasoning

MATH314H
Honors: Applied Linear Algebra (Matrix Theory)

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

Description: For course description, see MATH 314.

This course is a prerequisite for: MATH 405; MATH 442; 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
Groups:Advanced Mathematics Courses
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: Permission.

Case studies are structured around preparation for subsequent independent research (BIOS 498 or MATH 496).

Description: Introduction to biological literature, applied mathematics, computer programming, and/or statistical techniques relevant to particular 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

Credit Hours:3

ACE:

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: 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: MATH 208

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
ACE Outcomes: ACE 3 Math/Stat/Reasoning

Credit Hours:3

ACE:ACE 3 Math/Stat/Reasoning

MATH350
Geometry for High School Teaching

Prerequisites: MATH 310

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:

MATH380
Statistics and ApplicationsCrosslisted with MATH 380H, STAT 380, STAT 380H, RAIK 270H

Prerequisites: MATH 107 or 107H

Description: Probability calculus; random variables, their probability distributions and expected values; t, F and chi-square sampling distributions; estimation; testing of hypothesis; and regression analysis with applications.

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 3 Math/Stat/Reasoning

Credit Hours:3

ACE:ACE 3 Math/Stat/Reasoning

MATH380H
Statistics and ApplicationsCrosslisted with MATH 380, STAT 380, STAT 380H, RAIK 270H

Prerequisites: MATH 107 or 107H

Description: Probability calculus; random variables, their probability distributions and expected values; t, F and chi-square sampling distributions; estimation; testing of hypothesis; and regression analysis with applications.

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 3 Math/Stat/Reasoning

Credit Hours:3

ACE:ACE 3 Math/Stat/Reasoning

MATH394
Topics in Contemporary Mathematics

Prerequisites: Sophomore standing and removal of all entrance deficiencies in mathematics.

Description: Topics course for students in academic fields not requiring calculus. Emphasis on understanding and mathematical thinking rather than mechanical skills. Topic varies.

Course details
Credit Hours:3
Max credits per semester:3
Max credits per degree:6
Course Format:LEC
Groups:Advanced Mathematics Courses

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: Prior arrangement with and permission of individual faculty member.

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: For candidates for degrees with distinction, with high distinction, or with highest distinction in the College of Arts and Sciences.

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: MATH 314 or 314H recommended

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

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: MATH 310

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: Math 221 or Math 325.

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: MATH 221

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.

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: MATH 325 or permission

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: MATH 221.

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 and either 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, and either MATH 310 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 and either MATH 310 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 208 and at least two of Math 221, Math 314, Math 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: MATH 107 or permission

MATH 439/839 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

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.

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

Prerequisites: MATH 221 and 314

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

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 MATH 314

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.

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.

This course is a prerequisite for: MATH 856

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 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
Groups:Advanced Mathematics Courses

Credit Hours:3

ACE:

MATH489
Stochastic ProcessesCrosslisted with MATH 889

Prerequisites: MATH 314 and STAT/MATH 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.

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:

MATH497
Reading Course

Prerequisites: Senior standing and especially qualified Juniors; and 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.

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

  • Comprehend and critically evaluate complex information
  • Use quantitative analytical computational techniques
  • Make predictions using mathematical, statistical, and scientific modeling methods
  • Understand and use proper laboratory and technical skills and instruments
  • Define problems and identifying causes

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

Internships

  • Data Science Intern, The Hartford Insurance Company - Hartford CT
  • Actuarial Intern, Lincoln Financial Group - Omaha NE
  • Intern, American Embassy - Berlin, Germany ZZ
  • Programming Intern, Firespring - Lincoln NE
  • Intern, Nebraska Human Resources Institute - Lincoln NE

Grad Schools

  • Mathematics Ph.D, University of Nebraska-Lincoln - Lincoln NE
  • Physics Ph.D. Program, University of Nebraska-Lincoln - Lincoln NE
  • Economics PhD, University of Tennessee - Knoxville TN
  • Masters of Computer Science, University of Malaya - Kuala Lumpur ZZ
  • Ph.D. Program for Neural Computation, Center for Neural Basis of Cognition - Pittsburgh PA