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Requirements

Specific graduation requirements for the major and minor in mathematics.

 

Mathematics major requirements (B.A.)

The mathematics major is designed to meet the needs of students with a wide variety of interests. All students majoring in mathematics start with a basic core of required mathematics courses.  The student then builds on this foundation with a selection of five upper-division courses, chosen from one of three options.  Students in the Teachers Option choose courses that meet the requirements for state certification in mathematics.  In the Applied Mathematics and Pure Mathematics options, students get a measure of depth by taking two year-long sequences in mathematics.

Required Courses

Students majoring in mathematics start with a core of five courses.
  • MATH 1510 - Calculus I. (old nr: Math 142)
  • MATH 1520 - Calculus II. (old nr: Math 143)
  • MATH 2530 - Calculus III (old nr: Math 244) (must be taken at St. Louis University with a grade of at least ā€œCā€).
  • MATH 2660 - Principles of Mathematics. (old nr: Math 266)
  • MATH 3120 - Introduction to Linear Algebra. (old nr: Math 315)

Options for upper division courses:

The student must pass at least five additional upper-division mathematics courses to complete the major under the guidelines of the Applied Mathematics option, the Pure Mathematics option, or the Teachers Option, described below.  A GPA of 2.00 (ā€œCā€ average) or higher is required in upper-division mathematics courses counting toward the major.  The upper-division courses are built around year-long sequences of courses in five areas of mathematics:

  • MATH 3550, and 4550 or 4570 - Differential Equations; (old nrs: Math 355, 455, 457)
  • MATH 4810, 4820 - Probability and Statistics; (old nrs: Math 401, 402)
  • MATH 4110, and 4120 or 4150 - Introduction to Abstract Algebra and Linear Algebra or Number Theory; (old nrs: Math 411, 412, and 415)
  • MATH 4210, and 4220 or 4230 - Introduction to Analysis and Metric Spaces or Multivariable Analysis; (old nrs: Math 421, 422, and 423)
  • MATH 4310, and 4320 or 4360 - Complex Variables. (old nrs: Math 451, 452, 453)

Applied Mathematics

The Applied Mathematics option requires any two of the five year-long sequences listed above, plus a fifth upper-division mathematics course beyond the core mathematics requirement.  This option is appropriate for students planning on careers in industry, government agencies, actuarial sciences, etc.  The student's career ambitions should guide the selection of year-long sequences.  For example, a career as an actuary will require expertise in probability and statistics; a career as an applied mathematician, differential equations.

Pure Mathematics

The Pure Mathematics option requires the two year-long sequences beginning with Introduction to Abstract Algebra and Introduction to Analysis, plus a fifth upper-division mathematics course beyond the core mathematics requirement.  This option is appropriate for students who intend to go on to graduate school in mathematics, or who plan careers in cryptography, computer science, teaching, etc.

Teachers Option

The Teachers Option requires the following courses, which satisfy requirements for teacher certification.

  • MATH 4050 - History of Mathematics (old nr: Math 405)
  • MATH 4110 - Elements of Modern Algebra (old nr: Math 411)

       or MATH 4210 - Real Analysis (old nr: Math 421)

  • MATH 4410 - Foundations of Geometry (old nr: Math 441) or MATH 4470 - Non-Euclidean Geometry (old nr: Math 447)
  • MATH 4810 - Elementary Theory of Probability (old nr: Math 401)
  • One additional course chosen from the following:
    • MATH 3550 - Differential Equations (old nr: Math 355)
    • MATH 4820 - Introductory Mathematical Statistics (old nr: Math 402)
    • MATH 4150 - Number Theory (old nr: Math 415)
    • (An appropriate upper-division mathematics elective may be substituted, with the approval of the student's mathematics mentor.)

Mathematics Minor Requirements

There are three options for students minoring in mathematics: the traditional Mathematics Minor, the Engineering Mathematics Minor, and the Actuarial Mathematics Minor.

Mathematics Minor

A minor in mathematics should consist of:
  • MATH 1510 - Calculus I (old nr: Math 142)
  • MATH 1520 - Calculus II (old nr: Math 143)
  • MATH 2530 - Calculus III (old nr: Math 244)
  • MATH 2660 - Principles of Mathematics (old nr: Math 266)
  • MATH 3120 - Introduction to Linear Algebra (old nr: Math 315)
  • one further course in upper-division mathematics chosen with attention to prerequisites.

Engineering Mathematics Minor

Students seeking a minor in Engineering Mathematics must complete the three semesters of calculus and also complete four upper-division courses in subjects of importance to engineers, which include:

  • MATH 3110 - Linear Algebra for Engineers (offered Spring semesters only) (old nr: Math 311)
  • MATH 3240 - Numerical Analysis (offered occasionally) (old nr: Math 320)
  • MATH 3550 - Differential Equations (old nr: Math 355)
  • MATH 3600 - Combinatorics (offered occasionally) (old nr: Math 360)
  • MATH 3270 - Advanced Mathematics for Engineers (old nr: Math 370)
  • MATH 4310 - Introduction to Complex Variables (old nr: Math 451)
  • MATH 4320 - Complex Variables II (old nr: Math 452)
  • MATH 4360 - Geometric Topology (offered occasionally) (old nr: Math 453)
  • MATH 4550 - Nonlinear Dynamics and Chaos (offered Spring semesters only)(old nr: Math 455)
  • MATH 4570 - Partial Differential Equations (offered Fall semesters only) (old nr: Math 457)
  • MATH 4650 - Cryptography (offered occasionally) (old nr: Math 465)
  • MATH 4810 - Elementary Theory of Probability (old nr: Math 401)
  • MATH 4820 - Introductory Mathematical Statistics (old nr: Math 402)
  • MATH 4880 - Probability and Statistics for Engineers (old nr: Math 403)

Other upper-division mathematics courses may fulfill the course requirement for the Engineering Mathematics Minor, subject to approval by the Department of Mathematics and Computer Science.  Students must meet the prerequisites for all courses selected.

Actuarial Mathematics Minor

A minor in Actuarial Mathematics should consist of:
  • MATH 1510 - Calculus I (old nr: Math 142)
  • MATH 1520 - Calculus II (old nr: Math 143)
  • MATH 2530 - Calculus III (old nr: Math 244)
  • MATH 3110 Linear Algebra (old nr: Math 311)
  • MATH 3760 Financial Mathematics (old nr: Math 363)
  • MATH 4810 Elementary Theory of Probability (old nr: Math 401)
  • one further course in upper-division mathematics chosen with attention to prerequisites.


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