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.