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College of Arts and Sciences | Table of Contents

 Math Undergraduate Degree Requirements

General Information

Faculty

Course Descriptions

Undergraduate Degree Requirements

Graduate Degree Requirements

 Undergraduate Studies The following areas are available:

B.A. in Mathematics and B.S. in Education majoring in Secondary Education with Emphasis in Mathematics

B.S. in Applied Math

B.S. in Computer Science

Minor in Computer Science

Minor in Mathematics

Minor in Statistics

General Education Requirements

All majors must satisfy the university  and appropriate school or college general education requirements. All mathematics courses may be used to meet the university's general education breadth of study requirement in natural sciences and mathematics.

Satisfactory/Unsatisfactory Restrictions
Majors in mathematics and computer science may not take mathematical sciences  or related area courses on a satisfactory/unsatisfactory basis. Students considering  graduate study should consult with their advisers about taking work on a satisfactory/unsatisfactory basis.

Degree Requirements

All mathematical sciences courses  presented to meet the degree requirements must be completed with a grade of  C- or better. At least four courses numbered 250 or above must be taken in residence. Students must have a 2.0 grade point average in the mathematical sciences courses completed.

Students enrolling in introductory mathematics courses should check the prerequisites to determine if a satisfactory  score on the Mathematics Placement Test is necessary. The dates on which this test is administered are given in the Schedule of Classes. Placement  into introductory courses assumes a mastery of two years of high school algebra.

A minimum grade of C- is required to meet the prerequisite requirement for any course except with permission of the department.

Note: Courses that are prerequisites  for higher-level courses may not be taken for credit or quality points if the  higher-level course has been satisfactorily completed.

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Bachelor of Arts in Mathematics and Bachelor of Science in Education Majoring  in Secondary Education with Emphasis in Mathematics
Candidates for either the B.A. degree or the B.S. in Education are required to complete the following course work:


1) All of the following mathematics courses:
   80(1800)
, Analytic Geometry and Calculus I
 175(1900), Analytic Geometry and Calculus II
 180(2000), Analytic Geometry and Calculus III
 202(2020), Introduction to Differential Equations
 245(2450), Elementary Linear Algebra
 255(3000), Discrete Structures

 2) Probability and Statistics
 132(1320)
, Applied Statistics I

 3) Five courses from at least three of the following blocks.
 Analysis and Topology
 310(4100)
, Advanced Calculus I
 311(4110), Advanced Calculus II
 316(4160), Functions of a Complex Variable
 380(4800), Introduction to Topology

Algebra
 335(4350)
, Theory of Numbers
 340(4400), Introduction to Abstract Algebra I
 341(4410), Introduction to Abstract Algebra II
 345(4450), Linear Algebra

Applications
 303(4030)
, Applied Mathematics I
 306(4060), Applied Differential Equations
 320(4200), Mathematical Statistics I
 321(4210), Mathematical Statistics II
 323(4230), Numerical Analysis I
 324(4240), Numerical Analysis II
 327(4270), The Calculus of Variations
 355(4550), Combinatorics

Geometry and Logic
(B.S. in secondary education majors must complete 366(4660) or 367(4670).
 358(4580), Mathematical Logic
 362(4620), Projective Geometry
 364(4640), Introduction to Differential Geometry
 366(4660), Foundations of Geometry
 367(4670), Introduction to Non-Euclidean Geometry
 One of the following computer science courses is required:
Computer Science 122(1220)
, Computers and Programming or Computer  Science 125(1250), Introduction to Computing

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Bachelor of Science in Applied Mathematics
The following course work is required:

 1 ) Mathematics
   80(1800)
, Analytic Geometry and Calculus I
 175(1900), Analytic Geometry and Calculus II
 180(2000), Analytic Geometry and Calculus III
 202(2020), Introduction to Differential Equations
 245(2450), Elementary Linear Algebra
 255(3000), Discrete Structures
 345(4450), Linear Algebra
 310(4100), Advanced Calculus I, or
 340(4400), Introduction to Abstract Algebra I

 2) Probability and Statistics
 132(1320)
, Applied Statistics I

 3) All the courses in option a, b, or c:

     a) Classical Applied Mathematics Option
    The following courses in mathematics are required:
     303(4030), Applied Mathematics I
     316(4160), Functions of a Complex Variable
     320(4200), Mathematical Statistics I
     323(4230), Numerical Analysis I
     One of the following computer science courses is required:
     CS 122(1220), Computers and Programming, or
     CS 125(1250), Introduction to Computing
     Also required are two additional courses in mathematical sciences, numbered above 250, as well as Physics 111(1011), Physics: Mechanics and Heat, and Physics 112(1012), Physics: Electricity, Magnetism, and Optics.

     b) Probability and Statistics Option
    The following courses in probability and statistics are required:
     232(2320), Applied Statistics II
     320(4200), Mathematical Statistics I
     321(4210), Mathematical Statistics II
     330(4300), Multivariate Analysis                               
     333(4330), Nonparametric Methods in Statistics
     Also required are the following computer science courses:
     125(1250), Introduction to Computing
     225(2250), Programming and Data Structures
     Two related courses should be chosen with the approval of the adviser.

     c) Computational Mathematics Option
    The following courses in mathematics and computer science are required:
     125(1220), Introduction to Computing
     225(2250), Programming and Data Structures
     278(3130), Design and Analysis of Algorithms
     323(4230), Numerical Analysis I
     324(4240), Numerical Analysis II
     355(4550), Combinatorics
     Also required are three additional courses numbered above 250(2500), one of which must be in computer science, and two in mathematics. 

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Bachelor of Science in Computer Science
The following course work is required:

 1) Computer Science
 125(1250)
, Introduction to Computing
 225(2250), Programming and Data Structures
 240(2700), Computer Systems: Architecture and Organization
 241(2710), Computer Systems: Programming
 255(3000), Discrete Structures
 274(2260), Object-Oriented Programming with C++
 275(2750), Advanced Programming with Unix
 278(3130), Design and Analysis of Algorithms
 325(4250), Programming Languages
 328(4280), Program Translation Techniques
 376(4760), Operating Systems

 2) Mathematics and Statistics
   80(1800)
, Analytic Geometry and Calculus I
 175(1900), Analytic Geometry and Calculus II
 180(2000), Analytic Geometry and Calculus III
 245(2450), Elementary Linear Algebra
 132(1320), Applied Statistics I

 3) Philosophy
 258(4458)
, Ethics and the Computer

 4) Five more elective courses, numbered above 300 if in computer science, and above 200 if in mathematics or statistics. At least three of these elective courses must be in computer science, and at least one must be in mathematics or statistics.

Related Area Requirements

To broaden student understanding of the sources and uses of mathematics, the department requires all candidates for the B.A. in mathematics, B.S. in education, B.S. in applied mathematics, and B.S. in computer science to complete all courses in any two of the groups  below with a grade of C- or better.

Restrictions Related area requirements may not be taken on a satisfactory/ unsatisfactory (s/u) basis. Students in either the computer science degree program or the statistics or computational mathematics emphasis areas for the applied mathematics degree program may not choose group 5; students in the classical applied math emphasis area may not choose group 8. Candidates for the B.S. in applied mathematics and the B.S. in computer science who choose group 9 must satisfy group 9 requirements with Physics 221(3221), Mechanics, and Physics 223(3223), Electricity and Magnetism. Students in the computational mathematics emphasis area for the applied mathematics degree are strongly encouraged to choose group 8 as one of their related areas.

Related Area Courses
1) Biology:
 220(2102)
, General Ecology
 222(2103), General Ecology Laboratory

 2) Biology:
 224(2012)
, Genetics
 341(4182), Population Biology

 3) Chemistry:
 11(1111)
, Introductory Chemistry
 12(1121), Introductory Chemistry II

 4) Chemistry:
 231(3312)
, Physical Chemistry I
 and another 200-level, or above, chemistry course.

 5) Computer Science
 225(2250)
, Programming and Data Structures
 and one of either
 240(2700)
, Computer Systems: Architecture and Organization, or
 278(3130)
, Design and Analysis of Algorithms

 6) Economics :
 365(4100), Introduction to Econometrics, and one of either:
 366(4100), Applied Econometrics, or
 367(4130)
, Econometric and Time Series Forecasting

 7)Philosophy:
 160(3360), Formal Logic
 280(3380), Philosophy of Science
 360(4460), Advanced Formal Logic

 8) Physics:
 111(3221)
, Physics: Mechanics and Heat
 112(2112), Physics: Electricity, Magnetism, and Optics

 9) Physics:
 221(2111)
, Mechanics
 and another 200-level, or above, physics course

 10) Business Administration:
 252(3320)
, Introduction to Operations Management
PLUS one of 
 308B(4330), Production and Operations Management - Logistics
 308D(4324), Production and Operations Management –Service Systems
 329(4312), Business Forecasting
 330(4326), Quality Assurance in Business
 375(4350), Operations Research

 11) Engineering:
 144(2310)
, Statics
 145(2320), Dynamics

Many students are qualified, as  a result of having studied calculus in high school, to begin their major with  Math 175(1900), Analytic Geometry and Calculus II, or Math 180(2000), Analytic Geometry and Calculus III. These students are urged to consult with the department before planning their programs. Credit for Mathematics 80(2000), Analytic Geometry and Calculus I, will be granted to those students who complete Mathematics 175(1900)  with a grade of C- or better.

Similarly, students who are ready  to begin their computer science studies with Computer Science 225(2250), Programming  and Data Structures, will be granted credit for Computer Science 125(1250),  Introduction to Computing, once they complete Computer Science 225(2250) with  a grade of C- or better.

Students preparing for graduate study should take eight or nine mathematics courses at the junior-senior level. The department recommends the following mathematics courses:

 310(4100), Advanced Calculus I
316(4160), Functions of a Complex Variable
340(4400), Introduction to Abstract Algebra I
345(4450), Linear Algebra
380(4800), Introduction to Topology

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Minor Requirements

The department offers minors in computer science, mathematics, and statistics.  All courses presented for any of these minors must be completed with a grade  of C- or better.

Minor in Computer Science
The requirements for the minor are:

125(1250), Introduction to Computing
225(2250), Programming and Data Structures
240(2700), Computer Systems: Architecture and Organization
and two additional courses in Computer Science numbered above 240(2700). At least one of these must be either Computer Science 241(2710), Computer Systems: Programming, or Computer Science 278(3130), Design and Analysis of Algorithms. A minimum of two computer science courses numbered above 240(2700) must be taken in residence in the Department of Mathematics and Computer Science at UM-St. Louis.
 

Minor in Mathematics
The requirements for the minor are:
  80(1800), Analytic Geometry and Calculus I
175(1900), Analytic Geometry and Calculus II
180(2000), Analytic Geometry and Calculus III
and one additional three-hour mathematics course numbered above 180(2000).  A minimum of two mathematics courses numbered 180(2000) or above must be taken  in residence in the Department of Mathematics and Computer Science at UM-St.  Louis.

Minor in Statistics
The requirements for the minor are:
132(1320), Applied Statistics I
232(2320), Applied Statistics II
320(4200), Mathematical Statistics I
321(4210), Mathematical Statistics II

A minimum of two statistics courses  numbered above 200 must be taken in residence in the Department of Mathematics  and Computer Science at UM-St. Louis.

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