Department of Mathematics

Rosemary A. Renaut
Chair
(PS A216) 602/965–3951
math.la.asu.edu


REGENTS’ PROFESSOR
TROTTER

PROFESSORS
ARMBRUSTER, BREMNER, BUSTOZ, FELDSTEIN, GARDNER, GRACE, HELTON, HOPPENSTEADT, IHRIG, JACKIEWICZ, KADELL, KAWSKI, KIERSTEAD, KUANG, KUIPER, LEONARD, McDONALD, MITTELMANN, NICOLAENKO, RENAUT, RINGHOFER, H.A. SMITH, H.L. SMITH, THIEME, A. WANG, C. WANG, WEISS, YOUNG

ASSOCIATE PROFESSORS
BAER, BARCELO, BLOUNT, CHILDRESS, DRISCOLL, FAN, FARMER, HASSETT, HURLBERT, J. JONES, KOSTELICH, KURTZ, LOHR, MAHALOV, McCARTER, MOORE, QUIGG, SPIELBERG, SWIMMER, TAYLOR, TURNER, WELFERT

ASSISTANT PROFESSORS
CARLSON, HOLST, D. JONES, NIKITIN, PREWITT, ZANDIEH

MATHEMATICS—B.A.

The B.A. degree in Mathematics consists of a minimum of 36 semester hours in mathematics and additional course work in closely related fields, as approved by the advisor, for a total of at least 51 semester hours. The required courses must include the following:

CSE 200Concepts of Computer Science N3 (3)
or CSE 183 Applied Problem Solving with FORTRAN N3 (3)
or CSE 100 Principles of Programming (3)
MAT 270Calculus with Analytic Geometry I N1 (4)
MAT 271Calculus with Analytic Geometry II (4)
MAT 272Calculus with Analytic Geometry III (4)
MAT 274Elementary Differential Equations (3)
MAT 300Mathematical Structures L2 (3)
MAT 342Linear Algebra (3)
MAT 370Intermediate Calculus (3)
or MAT 371 Advanced Calculus I (3)
Total: 27

Four 400-level MAT or STP courses must also be approved by the advisor.

The department recommends a one-year sequence in some closely related field. Students who plan to attend graduate school in mathematics should choose the B.S. degree.

MATHEMATICS—B.S.

The B.S. degree in Mathematics consists of a minimum of 42 semester hours in mathematics plus additional course work in closely related fields, as approved by the advisor, for a total of at least 55 semester hours. The required hours must include the following:

CSE 200Concepts of Computer Science N3 (3)
or CSE 183 Applied Problem Solving with FORTRAN N3 (3)
or CSE 100 Principles of Programming (3)
MAT 270Calculus with Analytic Geometry I N1 (4)
MAT 271Calculus with Analytic Geometry II (4)
MAT 272Calculus with Analytic Geometry III (4)
MAT 342Linear Algebra (3)
Total: 18

To satisfy the remaining required hours, the student selects either the applied mathematics, computational mathematics, general mathematics, or statistics and probability option.

General Mathematics Option. For the general mathematics option, the student must take the following courses:

MAT 274Elementary Differential Equations (3)
MAT 300Mathematical Structures L2 (3)
MAT 371Advanced Calculus I (3)
MAT 372Advanced Calculus II (3)
MAT 410 Introduction to General Topology (3)
or MAT 415 Combinatorial Mathematics I (3)
or MAT 443 Introduction to Abstract Algebra (3)
or MAT 445 Theory of Numbers (3)
MAT 423Numerical Analysis I N3 (3)
MAT 461Applied Complex Analysis (3)
or MAT 462 Applied Partial Differential Equations (3)
or MAT 475 Differential Equations (3)
STP 421Probability (3)
Total: 24

Three more hours in a MAT course must also be approved by the advisor.

The department recommends a one-year sequence in some closely related field.

Pure Mathematics Option. For the pure mathematics option, the student must take the following courses:

CSE 200Concepts of Computer Science N3 (3)
or CSE 100 Principles of Programming (3)
MAT 274Elementary Differential Equations (3)
MAT 300Mathematical Structures L2 (3)
MAT 372Advanced Calculus II (3)
MAT 442Advanced Linear Algebra (3)
MAT 444Intermediate Abstract Algebra (3)
MAT 472Intermediate Real Analysis (3)
Total: 21

Students must also take two courses from the following:

MAT 410 Introduction to General Topology (3)
MAT 415Combinatorial Mathematics I (3)
MAT 445Theory of Numbers (3)
or MAT 461 Applied Complex Analysis (3) or STP 421 Probability (3)

Two more MAT or STP courses at the 400 level must also be taken.

Applied Mathematics Option. For the applied mathematics option, the student must take the following courses:

CSE 200Concepts of Computer Science N31 (3)
CSE 210Data Structures and Algorithms I N31 (3)
MAT 274Elementary Differential Equations (3)
MAT 371Advanced Calculus I (3)
MAT 372Advanced Calculus II (3)
MAT 425Numerical Analysis II N3 (3)
MAT 451Mathematical Modeling N2 (3)
MAT 461Applied Complex Analysis (3)
MAT 462Applied Partial Differential Equations (3)
PHY 121University Physics I: Mechanics S1/S22 (3)
PHY 131University Physics II: Electricity and Magnetism S1/S23 (3)
STP 421Probability (3)
Total: 36
__________________
1CSE 100, Introduction to Computer Science I, may be substituted for CSE 200 or 210, but this is not recommended.
2Both PHY 121 and 122 must be taken to secure S1 or S2 credit.
3Both PHY 131 and 132 must be taken to secure S1 or S2 credit.

For PHY 121 and 131, the corresponding laboratory courses (PHY 122 University Physics Laboratory I and PHY 132 University Physics Laboratory II) are strongly recommended.

Students should choose additional courses from the following:

IEE 476Operations Research Techniques/Applications N2 (4)
MAT 415Combinatorial Mathematics I (3)
MAT 416Combinatorial Mathematics II (3)
MAT 419Linear Programming N2 (3)
MAT 423Numerical Analysis I N3 (3)
MAT 443Introduction to Abstract Algebra (3)
MAT 452Introduction to Chaos and Nonlinear Dynamics (3)
MAT 455Introduction to Fractals and Applications (3)
MAT 472Intermediate Real Analysis (3)
MAT 475Differential Equations (3)
STP 425Stochastic Processes (3)
STP 427Mathematical Statistics (3)

Computational Mathematics Option. For the computational mathematics option, the student must take the following courses:

CSE 200Concepts of Computer Science N3 (3)
CSE 210Data Structures and Algorithms I N3 (3)
CSE 310Data Structures and Algorithms II (3)
MAT 243Discrete Mathematical Structures (3)
or MAT 300 Mathematical Structures L2 (3)
MAT 274Elementary Differential Equations (3)
MAT 371Advanced Calculus I (3)
MAT 423Numerical Analysis I N3 (3)
MAT 425Numerical Analysis II N3 (3)
MAT 427Computer Arithmetic N3 (3)
STP 326Intermediate Probability N2 (3)
or STP 420 Introductory Applied Statistics N2 (3)
Total: 30

The remaining hours are to include three upper-division courses, at least two of which must be MAT or STP courses, including one at the 400 level, and all of which must be approved by the advisor.

Statistics and Probability Option. For the statistics and probability option, the student must take the following courses:

MAT 300Mathematical Structures L2 (3)
MAT 371Advanced Calculus I (3)
or MAT 472 Intermediate Real Analysis (3)
MAT 372Advanced Calculus II (3)
STP 420Introductory Applied Statistics N2 (3)
STP 421Probability (3)
STP 425Stochastic Processes (3)
or STP 427 Mathematical Statistics (3)
Total: 18

The remaining courses in mathematics and statistics, as approved by the advisor, may be selected from the following:

IEE 476Operations Research Techniques/Applications N2 (4)
MAT 415Combinatorial Mathematics I (3)
MAT 419Linear Programming N2 (3)
MAT 421Applied Computational Methods N3 (3)
MAT 423Numerical Analysis I N3 (3)
MAT 425Numerical Analysis II N3 (3)
MAT 442Advanced Linear Algebra (3)
STP 425Stochastic Processes (3)
STP 427Mathematical Statistics (3)
STP 429Experimental Statistics N3 (3)

A coherent set of courses in a related field is also required.

Actuarial Science. The faculty in the Department of Mathematics offer courses that cover the content of the mathematical examinations of the Society of Actuaries. The option in statistics and probability is particularly suited to students who wish to pursue actuarial careers. See the department’s actuarial advisor for more information.

MINOR IN MATHEMATICS

The minor in Mathematics consists of a minimum of 24 semester hours. Required courses are as follows:

MAT 270Calculus with Analytic Geometry I N1 (4)
MAT 271Calculus with Analytic Geometry II (4)
MAT 272Calculus with Analytic Geometry III (4)
MAT 342Linear Algebra (3)
Total: 15

Electives are chosen in consultation with a mathematics advisor and must include three upper-division MAT or STP courses. In addition, CSE 200 Concepts of Computer Science and CSE 210 Data Structures and Algorithms I are recommended. An approved Minor Verification Form must be submitted to the Graduation Office of the College of Liberal Arts and Sciences.

SECONDARY EDUCATION—B.A.E.

Mathematics. Students pursuing the major teaching field may choose from two options.

Option One. With this option, the academic specialization consists of the following required courses:

CSE 200Concepts of Computer Science N3 (3)
or CSE 183 Applied Problem Solving with FORTRAN N3 (3)
or CSE 100 Principles of Programming (3)
MAT 270Calculus with Analytic Geometry I (4)
MAT 271Calculus with Analytic Geometry II (4)
MAT 272Calculus with Analytic Geometry III (4)
MAT 300Mathematical Structures L2 (3)
or MAT 243 Discrete Mathematical Structures (3)
MAT 310Introduction to Geometry (3)
MAT 342Linear Algebra (3)
MAT 370Intermediate Calculus (3)
or MAT 371 Advanced Calculus I (3)
MAT 443Introduction to Abstract Algebra (3)
or MAT 445 Theory of Numbers (3)
MTE 483Mathematics in the Secondary School (3)
STP 420Introductory Applied Statistics N2 (3)
Total: 36

MTE 482 Methods of Teaching Mathematics in Secondary School is required as part of the 31-hour professional education requirement but cannot be counted as part of the 36-hour major requirement.

Option Two. This option may be exercised only in combination with option two in chemistry or physics. The mathematics portion of this 60-hour program consists of 30 semester hours in mathematics. Required courses are as follows:

MAT 270Calculus with Analytic Geometry I N1 (4)
MAT 271Calculus with Analytic Geometry II (4)
MAT 272Calculus with Analytic Geometry III (4)
MAT 274Elementary Differential Equations (3)
or MAT 371 Advanced Calculus I (3) or MAT 460 Applied Real Analysis (3)
MAT 300Mathematical Structures L2 (3)
MAT 310Introduction to Geometry (3)
MAT 342Linear Algebra (3)
MAT 443Introduction to Abstract Algebra (3)
Total: 27

A computer science course—CSE 100 Introduction to Computer Science I or CSE 183 Applied Problem Solving with FORTRAN or CSE 200 Concepts of Computer Science—is recommended.

Mathematics. The minor teaching field consists of the following required courses:

MAT 270Calculus with Analytic Geometry I N1 (4)
MAT 271Calculus with Analytic Geometry II (4)
MAT 272Calculus with Analytic Geometry III (4)
MAT 274Elementary Differential Equations (3)
or MAT 371 Advanced Calculus I (3) or MAT 460 Applied Real Analysis (3)
MAT 300Mathematical Structures L2 (3)
MAT 310Introduction to Geometry (3)
MAT 342Linear Algebra (3)
Total: 24

GRADUATE PROGRAMS

The faculty in the Department of Mathematics offer programs leading to the degrees of Master of Natural Science, M.S., and Ph.D. Consult the Graduate Catalog for requirements.

Mathematics (MAT) Courses
Mathematics Education (MTE) Courses
Statistics and Probability (STP) Courses

Omnibus Courses: See omnibus courses that may be offered.

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1998–99 General Catalog Table of Contents

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