|
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.
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
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.
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
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.
|