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Undergraduate programs

The mathematical sciences have long provided the proper language of the physical sciences and engineering, and they are playing an increasingly important role in areas as diverse as computer science, the social sciences, business administration and economics, and the biological and medical sciences.  Many are drawn to the study of mathematics and statistics precisely because of this broad applicability.  Others are attracted by the rigorous training these disciplines provide in abstract reasoning, and the many surprising results and elegant arguments they encounter.  The department offers a wide variety of courses in mathematics and statistics to meet the needs of a student body having very diverse interests.  Anyone who would like to learn more about the department’s faculty, programs, courses, activities and other services is encouraged to explore the department website, or visit the department office.

Degree Maps and Learning Outcomes

Admission requirements

Mathematics B.A./B.S.

Mathematics B.A./B.S. Options

Mathematics and Statistics Honors Track

Mathematics Minor

Mathematics for Middle School Teachers Minor

Mathematics Licensure

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 additional 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 Ordinary Differential Equations

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 456Topics in Combinatorics

3
Mth 457The Mathematical Theory of Games I

3
Mth 458The Mathematical Theory of Games II

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 I

3
Stat 466Experimental Design: Theory and Methods II

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.