Portland-State-University 2015-2016 Bulletin

Mathematics B.A./B.S.

The degree program requires a basic core of courses, but it also has the flexibility that allows students to pursue special areas of interest in mathematics. The program is designed to provide a foundation for more advanced work and/or a basis for employment in government, industry, or secondary education. A joint degree in mathematics with computer science, business administration, economics, physics, or some other area may give a student better opportunities for employment upon graduation.

The department attempts to offer as many courses as possible after 4 p.m. on a rotating schedule so that a degree may be pursued by either day or evening enrollment.

Requirements

In addition to meeting the general University degree requirements, the major in mathematics must complete the following requirements:

Courses

Mth 251Calculus I

4

Mth 252Calculus II

4

Mth 253Calculus III

4

Mth 261Introduction to Linear Algebra

4

Mth 254Calculus IV

4

Mth 256Applied Differential Equations I

4

 

Mth 271Mathematical Computing

4

or

CS 161Introduction to Programming and Problem-Solving

4

  

Mth 311Introduction to Mathematical Analysis I

4

Mth 312Introduction to Mathematical Analysis II

4

Mth 344Introduction to Group Theory and Applications

4

One of the following: (3-4 credits)

Mth 338Modern College Geometry

4

Mth 345Introduction to Ring and Field Theory

4

Mth 346Number Theory

4

Mth 444Advanced Linear/Multilinear Algebra I

3

Additional Requirements chosen from Approved List of courses-sequences

Mth/Stat (one)Approved two-term 400-level Mth or Stat sequence

6

Mth/Stat (two)Approved 400-level Mth or Stat courses

6-7

Mth/Stat (two)Approved 300- or 400-level Mth or Stat courses

6-8

Approved electives are:

Mth 300Introduction to Mathematical Reasoning

4

Mth 313Advanced Multivariate Calculus

4

Mth 322Applied Partial Differential Equations

4

Mth 324Vector Analysis

4

Mth 338Modern College Geometry

4

Mth 343Applied Linear Algebra

4

Mth 345Introduction to Ring and Field Theory

4

Mth 346Number Theory

4

Mth 356Discrete Mathematics

4

Mth 411Introduction to Real Analysis I

3

Mth 412Introduction to Real Analysis II

3

Mth 413Introduction to Real Analysis III

3

Mth 420Introduction to Complexity Theory

3

Mth 421Theory of Ordinary Differential Equations I

3

Mth 422Theory of Ordinary Differential Equations II

3

Mth 423Theory of Ordinary Differential Equations III

3

Mth 424Elementary Differential Geometry I

3

Mth 425Elementary Differential Geometry II

3

Mth 427Partial Differential Equations I

3

Mth 428Partial Differential Equations II

3

Mth 430Topics in Mathematical Modeling

3

Mth 431Topics in Geometry I

3

Mth 432Topics in Geometry II

3

Mth 433Topics in Geometry III

3

Mth 434Set Theory and Topology I

3

Mth 435Set Theory and Topology II

3

Mth 436Set Theory and Topology III

3

Mth 440Boolean Algebra

4

Mth 441Introduction to Abstract Algebra I

3

Mth 442Introduction to Abstract Algebra II

3

Mth 443Introduction to Abstract Algebra III

3

Mth 444Advanced Linear/Multilinear Algebra I

3

Mth 445Advanced Linear/Multilinear Algebra II

3

Mth 449Topics in Advanced Number Theory

3

Mth 451Numerical Calculus I

3

Mth 452Numerical Calculus II

3

Mth 453Numerical Calculus III

3

Mth 457The Mathematical Theory of Games

3

Mth 458The Mathematical Theory of Games

3

Mth 461Graph Theory I

3

Mth 462Graph Theory II

3

Mth 470Complex Analysis and Boundary Value Problems I

3

Mth 471Complex Analysis and Boundary Value Problems II

3

Mth 472Complex Analysis and Boundary Value Problems III

3

Mth 477Mathematical Control Theory I

3

Mth 478Mathematical Control Theory II

3

Mth 481Topics in Probability for Mathematics Teachers

3

Mth 482Topics in Statistics for Mathematics Teachers

3

Mth 483Topics in Geometry for Mathematics Teachers

3

Mth 484Topics in Algebra for Mathematics Teachers

3

Mth 485Topics in Analysis for Mathematics Teachers

3

Mth 486Topics in The History of Mathematics

3

Mth 487Topics in Discrete Mathematics for Mathematics Teachers

3

Mth 488Topics in Computing for Mathematics Teachers

3

Stat 451Applied Statistics for Engineers and Scientists I

4

Stat 452Applied Statistics for Engineers and Scientists II

3

Stat 461Introduction to Mathematical Statistics I

3

Stat 462Introduction to Mathematical Statistics II

3

Stat 463Introduction to Mathematical Statistics III

3

Stat 464Applied Regression Analysis

3

Stat 465Experimental Design: Theory and Methods

3

Stat 466Experimental Design: Theory and Methods

3

Stat 467Applied Probability I

3

Stat 468Applied Probability II

3

Check with the department for the list of approved Mth or Stat sequences and for additional courses, including omnibus-numbered courses, which may be approved as electives.

Total Credit Hours: 61-65

All courses used to satisfy the departmental major requirements, whether taken in the department or elsewhere, must be graded C-, P, or above, but no more than 4 courses graded P will count toward these requirements. Transfer students majoring in mathematics are required to take a minimum of 15 credits of PSU upper-division mathematics or statistics courses in residence.