Department of Mathematics

203 Durham Science Center

The University of Nebraska at Omaha

Omaha, NE  68182-0243

Phone (402) 554-3430

Fax (402) 554-2975

http://www.unomaha.edu/wwwmath/

 

 

 

 

Mathematical Sciences Degree Program

 

The degree with a major in the mathematical sciences consists of 47 hours of required courses in mathematics and computer science combined either with 18 hours in a related area of concentration outside the department for the Bachelor of Science degree, or 16 hours in a foreign language for the Bachelor of Arts degree.

 

   I.     The specific requirements are as follows:

 

Required mathematics and computer science courses - 47 hours

MATH 1950

Calculus I

5 hours

MATH 1960

Calculus II

5 hours

MATH 1970

Calculus III

4 hours

MATH 2050

Applied Linear Algebra

3 hours

MATH 2230

Introduction to Abstract Mathematics

3 hours

MATH/CS 3100

Applied Combinatorics

3 hours

MATH 3230

Introduction to Analysis

3 hours

MATH 3350

Differential Equations

3 hours

MATH 4740

Introduction to Probability and Statistics I

3 hours

3 upper division (math courses numbered higher than 3000) mathematics electives including two at the 4000 level. 

9 hours

 

 

 

Two of the following:

6 hours

CIST 1400

Introduction to Computer Programming

 

CSCI 1620

Introduction to Computer Science II

 

MATH 2200

Mathematical Computing I

 

MATH 3200

Mathematical Computing II

 

 

  II.     For the B.S. degree, a minimum of 18 hours in an area of concentration which must be developed with an adviser and approved by the Department of Mathematics (see below). For the B.A. degree, 16 hours in a foreign language are required instead of the area of concentration.

 

 III.     Other requirements for the B.S. or B.A. degree as stated by the College of Arts &Sciences.

 

Oral Communication

3 hours

English

*9 hours

History

6 hours

Cultural Diversity

6 hours

Humanities

12 hours

Natural Sciences

8 hours

Social Sciences

12 hours

 

 

*Includes the third writing course. Recommended courses are ENGR 3000, ENGL 3980, or ENGL 2400. Individuals may petition the department to meet this requirement with some other writing course for which ENGL 1160 is a prerequisite.

 

IV.     Electives

A minimum of 125 hours is required for graduation.

 

V.     Prior to graduation, candidate must complete the MFAT national exam during the senior year.

 

VI.     Completion of the computer algebra competency requirements.

 

VII.     All courses to count for the major must be completed with a grade of C or better.

 

 

Minor in Mathematics

 

A minor in mathematics may be obtained by successful completion of 26 hours in mathematics courses consisting of MATH 1950, 1960, 1970, 2230 or 2030 or 2040, 2050 and two mathematics courses at the 3000 or 4000 level (STAT 3800 may be included).
For students who take MATH 2040, they may replace MATH 2050 with a 3000 or 4000 level mathematics course.

Students expecting to earn a minor in mathematics need to fill out a “Change in Academic Program” form to be taken to the Registrar.  This form can be obtained the Mathematics Department office, DC 203.

 

 

 

DOUBLE MAJOR in Mathematics

 

Undergraduate students may obtain a second (double) major in mathematics by taking the required 47 hours in coursework listed in Part I above.  Also the requirements in parts V, VI, and VII must be met.  Any of the above courses already taken for the primary major will count toward the 47 hour requirement in mathematics.  General education and college distributions requirements only apply to the primary major.

 

 

 

Recommended Upper Division Electives

 

There are 5 suggested alternatives for mathematics concentrations for the upper division mathematics electives: Traditional Mathematics, Applied Mathematics, Operations Research, Computer Science and Statistics. The following lists contain recommended electives for these concentrations:

 

Applied Mathematics  3200, 3300/8305, 4270/8276, 4300/8306, 4310/8316, 4330/8336, 4580/3586, 4600/8606, 4650/8656.

 

Computer Science  3200, 3300/8305, 4150/8156, 4300/8306, 4310/8316, 4660/8666, 4750/8756, 4760/8766.

 

Operations Research  3200, 3300/8305, 4050/8056, 4300/8306, 4310/8316, 4750/8756, 4760/8766.

 

Statistics  3400, 4230/8236, 4310/8316, 4750/8756, 4760/8766.

 

Traditional Mathematics  4030/8036, 4050/8056, 4110/8116, 4120/8126, 4230/8236, 4240/8246, 4270/8276, 4560/8566, 4610/8616.

 

 

Area of Concentration for the B.S. Degree

 

The area of concentration is a coherent collection of at least 18 hours of courses to be developed with an adviser. In order to develop the area of concentration, the student would meet with an adviser as early as possible in the program. The choice of concentration is flexible so that it may be chosen with the student's interests and/or career goals in mind. The student meets with an adviser to develop a proposed area of concentration; obtains and completes an Area of Concentration form (available in the department office, DSC 203); obtains the signature of the adviser; and submits the completed form to the Department of Mathematics Curriculum Committee for its review and approval. If the Committee has a question with regard to the proposed area of concentration, the student will be informed and asked to consult with the adviser. If approved, a copy of the approved form will be returned to the student by mail. The signed and approved original form must be on file in the department office in order for a student to be approved for graduation.

 

The principal guidelines are:

 

a.        Normally the concentration courses should have high analytic or quantitative content.

 

b.        The courses must represent a substantial depth of knowledge in a given discipline or related disciplines. Normally, a minimum of 9 hours must be in upper level (3000-4000 level) courses. Exceptions may be made, according to the area of study.

 

c.        The basic requirements of English or History will not count toward the 18 hours. However, distribution requirements may be used in meeting the required 18 hours.

 

d.        Any credits taken to fulfill requirements for a bachelor’s degree in mathematics will NOT be counted toward the area of concentration.

 

e.        Every course in the area of concentration must result in a grade of C or better.

 

 

Additional guidelines are stated on the application form.

 

Several examples are given on the next pages. These are only examples; many other combinations are possible.


Examples of Areas of concentration for the B.S. Degree

 

The following programs are illustrative of some possible "Areas of Concentration" options. It is not intended to be exhaustive or definitive; other programs may be developed, subject to department approval.

Courses taken to fulfill requirements for the Bachelor’s degree in Mathematics will NOT count towards an area of concentration. Courses cross-listed with Mathematics can be included only with special permission.

 

Accounting Option

ACCT 2010

Principles of Accounting I

3 hours

ACCT 2020

Principles of Accounting II

3 hours

ACCT 3030

Intermediate Financial Accounting I

3 hours

ACCT 3040

Intermediate Financial Accounting II

3 hours

6 additional hours from the following:

6 hours

ACCT 3020

Basic Federal Income Taxation

3 hours

 

ACCT 3050

Intermediate Managerial Accounting

3 hours

 

ACCT 4010

Advanced Financial Accounting

3 hours

 

ACCT 4040

Advanced Federal Income Taxation

3 hours

 

ACCT 4060

Advanced Managerial Accounting

3 hours

 

 

 

 

18 hours

 

Pre-Actuarial Option

(Note: It is recommended that the student include MATH 3400, either as an elective toward the Math major or in the Area of Concentration.  It cannot be included both ways.)

ACCT 2010

Principles of Accounting I

3 hours

ACCT 2020

Principles of Accounting II

3 hours

ECON 2200

Principles of Economics (Micro)

3 hours

ECON 2220

Principles of Economics (Macro)

3 hours

6 or 7 additional hours from the following:

6 - 7 hours

You may choose one of the following three courses

 

 

ECON 3300

Introduction to Econometrics

3 hours

 

 

BSAD 3140

Business Statistical Applications

3 hours

 

 

BSAD 3160

Managerial Statistics for Business

4 hours

 

FNBK 3250

Principles of Financial Management

3 hours

 

MATH 3400

Theory of Interest, if not taken as an elective for the Math Major

3 hours

 

 

 

 

18 - 19 hours

 

Biology Option

BIOL 1450

Biology I (General Botany)

5 hours

BIOL 1750

Biology II (General Zoology)

5 hours

At least 8 biology hours above 2000, having the above as prerequisites.

8 hours

 

 

 

18 hours

 

Chemistry Option

(Prerequisites for CHEM 3350 and CHEM 3360 may be waived for Math Majors.)

CHEM 1180/1184

General Chemistry I and Lab

4 hours

CHEM 1190/1194

General Chemistry II and Lab

4 hours

CHEM 3350/3354

Physical Chemistry I and Laboratory

4 hours

CHEM 3360/3364

Physical Chemistry II and Laboratory

4 hours

2 – 4 hours selected from any of the courses which meet Chemistry BA or BS requirements.

2 - 4 hours

 

 

 

18 - 20 hours

 

Computer Science Option I

CSCI 1620

Introduction to Computer Science II

3 hours

CSCI 2730

Digital Computer Structures

5 hours

CSCI 3320

Data Structures

3 hours

7 – 9 hours selected from 4000-level CSCI courses

7 - 9 hours

 

 

 

18 - 20 hours

 

 

 

 

Computer Science Option II

CSCI 1620

Introduction to Computer Science II

3 hours

CSCI 3320

Data Structures

3 hours

CSCI 4470

Pattern Recognition

3 hours

CSCI 4530

File Structures

3 hours

CSCI 4620

Computer Graphics

3 hours

CSCI 4850

Data Base Management Systems

3 hours

 

 

 

18 hours

 

Economics Option

ECON 2200

Principles of Economics (Micro)

3 hours

ECON 2220

Principles of Economics (Macro)

3 hours

ECON 3200

Economic Theory: Micro

3 hours

ECON 3220

Economic Theory Macro

3 hours

6 additional hours from the following:

6 hours

ECON 3250

Business Conditions Analysis

3 hours

 

ECON 3300

Introduction to Econometrics

3 hours

 

ECON 4300

Quantitative Applications in Economics and Business

3 hours

 

 

 

 

18 hours

 

Information Systems and Quantitative Analysis Option

BSAD 2130

Principles of Business Statistics

3 hours

BSAD 3140

Business Statistical Application

3 hours

ISQA 3150

Principles of Quantitative Analysis

3 hours

ISQA 3310

Managing the Data Base Environment

3 hours

ISQA 4110

Information Systems Analysis

3 hours

ISQA 4120

System Design and Implementation

3 hours

ISQA 4730

Decision Support Systems

3 hours

 

 

 

21 hours

 

Physics Option

PHYS 2110/1154

General Physics Calculus Level I And Lab

5 hours

PHYS 2120/1164

General Physics Calculus Level II and Lab

5 hours

At least 8 additional hours of approved physics courses.  Check with physics and math advisers about including PHYS 3250, Mathematical Methods of Physics.

8 hours

 

 

 

18 hours

 

 

 

Rotation of Undergraduate Courses

 

(NOTE: * denotes courses cross-listed with computer science)

 

 

Fall Odd

Spring Even

Summer Even

*3100

Applied Combinatorics

*3100

Applied Combinatorics

2030

Discrete Mathematics

3230

Introduction to Analysis

3230

Introduction to Analysis

2050

Linear Algebra

3350

Differential Equations

*3300

Numerical Methods

3350

Differential Equations

3640

Modern Geometry

3350

Differential Equations

 

4030

Applied Modern Algebra