| NOTE: | The information in this file matches the corresponding print edition. More current information may be found at www.asu.edu/aad/catalogs/. |
Professors: Armbruster, Bremner, Bustoz, Gardner, Hoppensteadt, Ihrig, Z. Jackiewicz, Kadell, Kawski, Kierstead, Kostelich, Kuang, Kuiper, Lai, Leonard, Lohr, Mittelmann, Nicolaenko, Quigg, Renaut, Ringhofer, H.A. Smith, H.L. Smith, Thieme, Young
Associate Professors: Baer, Barcelo, Blount, Carlson, Childress, Farmer, Gelb, Hurlbert, D. Jones, J. Jones, Kurtz, Lopez, Mahalov, McCarter, Moore, Nikitin, Prewitt, Spielberg, Suslov, Taylor, Welfert
Assistant Professors: Czygrinow, Kaliszewski, Oehrtman, Oleson, Zandieh
Senior Lecturers: Abramson, Isom, Kolossa, Rody, Trapuzzano, Vaz, A. Zhu
Lecturers: Ashbrook, Bloom, Coombs, Downs, Gust, E. Jackiewicz, E. Jones, Kellgren, Kim, Maris, Martin, Masilamani, Miller, Odish, Pecuch-Herrero, Reynolds, Ruedemann, Shelton, Surgent, Tracogna, Turner, Ward, Williams
The Department of Mathematics and Statistics offers the B.A. and B.S. degrees in Mathematics. Students who plan to attend graduate school in mathematics or statistics should choose the B.S. degree.
The department also offers the B.S. degree in Computational Mathematical Sciences.
The department also offers a minor in Mathematics and an academic specialization in mathematics for students pursuing the B.A.E. degree in Secondary Education.
Related Field Course List. All students majoring in Mathematics need to refer to the related field course list. It is available from an advisor in PS A211, or from the department Web site at math.la.asu.edu/~undergrd/underprog/degree/related-fields.html.
The B.A. degree in Mathematics requires a minimum of 36 semester hours of course work in mathematics and statistics, and additional course work in closely related fields, for a total of 51 semester hours. A grade of “C” or higher is required in all courses taken for the major. MAT 370 and 371 may not both be used to satisfy these degree requirements. The required course work has the following components:
| Core Courses | |
| MAT 270 | Calculus with Analytic Geometry I MA (4) |
| MAT 271 | Calculus with Analytic Geometry II MA (4) |
| MAT 272 | Calculus with Analytic Geometry III MA (4) |
| MAT 300 | Mathematical Structures L (3) |
| MAT 342 | Linear Algebra (3) |
| MAT 370 | Intermediate Calculus (3)
or MAT 371 Advanced Calculus I (3) |
| Total: 21 | |
| Computer Science Requirement | |
| CSE 100 | Principles of Programming with C++ CS (3)
or CSE 200 Concepts of Computer Science CS (3) |
| Total: 3 | |
| Advanced Courses in Mathematics and Statistics | |
| Two courses from the following list, both preferably taken from the same grouping (6) | |
| Algebra, Topology, and Number Theory | |
| MAT 410 Introduction to General Topology (3) | |
| MAT 442 Advanced Linear Algebra (3) | |
| MAT 443 Introduction to Abstract Algebra (3) | |
| MAT 444 Intermediate Abstract Algebra (3) | |
| MAT 445 Theory of Numbers (3) | |
| Analysis and Applications | |
| MAT 372 Advanced Calculus II (3) | |
| MAT 461 Applied Complex Analysis (3) | |
| MAT 472 Intermediate Real Analysis I (3) | |
| Applied Mathematics and Dynamics | |
| MAT 451 Mathematical Modeling CS (3) | |
| MAT 452 Introduction to Chaos and Nonlinear Dynamics (3) | |
| MAT 455 Introduction to Fractals and Applications (3) | |
| Computational Mathematics | |
| MAT 420 Scientific Computing (3) | |
| MAT 421 Applied Computational Methods CS (3) | |
| MAT 423 Numerical Analysis I CS (3) | |
| MAT 425 Numerical Analysis II CS (3) | |
| MAT 427 Computer Arithmetic CS (3) | |
| Differential Equations | |
| MAT 462 Applied Partial Differential Equations (3) | |
| MAT 475 Differential Equations (3) | |
| MAT 476 Partial Differential Equations (3) | |
| Discrete Mathematics | |
| MAT 415 Introduction to Combinatorics (3) | |
| MAT 416 Introduction to Graph Theory (3) | |
| MAT 419 Introduction to Linear Programming CS (3) | |
| Statistics and Probability | |
| STP 420 Introductory Applied Statistics CS (3) | |
| STP 421 Probability (3) | |
| STP 425 Stochastic Processes (3) | |
| STP 427 Mathematical Statistics (3) | |
| STP 429 Experimental Statistics CS (3) | |
| Additional Course Work in Mathematics and Statistics | |
| Three courses in mathematics and statistics1 (9) |
| Related Field Course Work | |
| Course work in mathematics, statistics, or related fields2 (12) |
| 1 | Acceptable mathematics courses are MAT 274 and upper-division MAT courses, with the exception of MAT 362, 485, and ASU West MAT 411. Acceptable statistics courses are upper-division STP courses. |
| 2 | See “Related Field Course List.” |
The Department of Mathematics and Statistics has three avenues for earning a B.S. degree. The B.S. requirements are similar to the B.A. requirements, but they require more extensive courses in advanced mathematics. The program is flexible enough to allow students to focus their studies on mathematics, applied mathematics, or statistics. The statistics concentration offers extensive preparation in applied and theoretical statistics. The requirements for the B.S. degree with the statistics concentration are a subset of those for the B.S. degree. The requirements for the B.S. degree and for the B.S. degree with the computational mathematical sciences concentration are distinct; neither is a subset of the other.
B.S. Requirements. The B.S. degree in Mathematics requires a minimum of 42 semester hours of course work in mathematics and statistics, and additional course work in closely related fields, for a total of 55 semester hours. A grade of “C” or higher is required in all courses taken for the major. MAT 370 and 371 may not both be used to satisfy these degree requirements. The required course work has the following components:
| Core Courses | |
| MAT 270 | Calculus with Analytic Geometry I MA (4) |
| MAT 271 | Calculus with Analytic Geometry II MA (4) |
| MAT 272 | Calculus with Analytic Geometry III MA (4) |
| MAT 300 | Mathematical Structures L (3) |
| MAT 342 | Linear Algebra (3) |
| MAT 371 | Advanced Calculus I (3) |
| Total: 21 | |
| Computer Science Requirement | |
| CSE 200 | Concepts of Computer Science CS (3) |
| Total: 3 | |
| Depth Requirement | |
| Two courses chosen from the following list of advanced courses (6) | |
| MAT 415 Introduction to Combinatorics (3) | |
| MAT 416 Introduction to Graph Theory (3) | |
| MAT 423 Numerical Analysis I CS (3) | |
| MAT 425 Numerical Analysis II CS (3) | |
| MAT 442 Advanced Linear Algebra (3) | |
| MAT 444 Intermediate Abstract Algebra (3) | |
| MAT 462 Applied Partial Differential Equations (3) | |
| MAT 472 Intermediate Real Analysis I (3) | |
| MAT 473 Intermediate Real Analysis II (3) | |
| MAT 475 Differential Equations (3) | |
| MAT 476 Partial Differential Equations (3) | |
| STP 421 Probability (3) | |
| STP 427 Mathematical Statistics (3) | |
| Advanced Courses in Mathematics and Statistics1 | |
| Two courses from the following list, both preferably taken from the same grouping (6) | |
| Algebra, Topology, and Number Theory | |
| MAT 410 Introduction to General Topology (3) | |
| MAT 442 Advanced Linear Algebra (3) | |
| MAT 443 Introduction to Abstract Algebra (3) | |
| MAT 444 Intermediate Abstract Algebra (3) | |
| MAT 445 Theory of Numbers (3) | |
| Analysis and Applications | |
| MAT 372 Advanced Calculus II (3) | |
| MAT 461 Applied Complex Analysis (3) | |
| MAT 472 Intermediate Real Analysis I (3) | |
| Applied Mathematics and Dynamics | |
| MAT 451 Mathematical Modeling CS (3) | |
| MAT 452 Introduction to Chaos and Nonlinear Dynamics (3) | |
| MAT 455 Introduction to Fractals and Applications (3) | |
| Computational Mathematics | |
| MAT 420 Scientific Computing (3) | |
| MAT 421 Applied Computational Methods CS (3) | |
| MAT 423 Numerical Analysis I CS (3) | |
| MAT 425 Numerical Analysis II CS (3) | |
| MAT 427 Computer Arithmetic CS (3) | |
| Differential Equations | |
| MAT 462 Applied Partial Differential Equations (3) | |
| MAT 475 Differential Equations (3) | |
| MAT 476 Partial Differential Equations (3) | |
| Discrete Mathematics | |
| MAT 415 Introduction to Combinatorics (3) | |
| MAT 416 Introduction to Graph Theory (3) | |
| MAT 419 Introduction to Linear Programming CS (3) | |
| Statistics and Probability | |
| STP 420 Introductory Applied Statistics CS (3) | |
| STP 421 Probability (3) | |
| STP 425 Stochastic Processes (3) | |
| STP 427 Mathematical Statistics (3) | |
| STP 429 Experimental Statistics CS (3) | |
| Additional Course Work in Mathematics and Statistics2 | |
| Three courses in mathematics and statistics (9) |
| Related Field Course Work3 | |
| Course work in mathematics, statistics, or related fields (10) |
| 1 | Students who contemplate graduate work in mathematics should choose additional courses listed under the depth requirement to satisfy the advanced courses requirement. |
| 2 | Acceptable mathematics courses are MAT 274 and upper division MAT courses, with the exception of MAT 310, 362, 485, and ASU West MAT 411. Acceptable statistics courses are 400-level STP courses. |
| 3 | See “Related Field Course List.” |
A concentration in Mathematics is available under the Bachelor of Interdisciplinary Studies (B.I.S.) degree, a program intended for the student who has academic interests that might not be satisfied with existing majors. Building on two academic concentrations (or one double concentration) and an interdisciplinary core, students in the B.I.S. program take active roles in creating their educational plans and defining their career goals. For more information, see Division of Undergraduate Academic Services, “Bachelor of Interdisciplinary Studies.”
The B.S. degree in Computational Mathematical Sciences curriculum strives to provide students with a background in computer science and the natural or physical sciences in addition to a core of course work in mathematics. The requirements for the B.S. Degree in Computational Mathematical Sciences and for the B.S. degree in mathematics are distinct; neither is a subset of the other. A minimum grade of “C” is required in all courses taken for the major.
The B.S. degree in Computational Mathematical Sciences requires a minimum of 32 semester hours of course work in mathematics and statistics, a minimum of 12 to 14 semester hours in science, nine hours in computer science, and a three hour advanced science course or internship/research credit. This adds up to a minimum of 56 to 58 semester hours of study related to the major.
| Core Courses | |
| MAT 243 | Discrete Mathematical Structures (3)
or MAT 300 Mathematical Structures L (3) |
| MAT 271 | Calculus with Analytic Geometry II MA (4) |
| MAT 272 | Calculus with Analytic Geometry III MA (4) |
| Total: 11 | |
| Core Courses in Computational Mathematics | |
| MAT 274 | Elementary Differential Equations MA* (3)
or MAT 275 Modern Differential Equations MA (3) |
| MAT 342 | Linear Algebra* (3)
or MAT 343 Applied Linear Algebra (3) |
| MAT 420 | Scientific Computing (3) |
| MAT 421 | Applied Computational Methods CS (3) |
| Total: 12 | |
| * | MAT 275 and 343 are recommended. |
| Advanced Courses in Mathematics and Statistics | |
| Choose one course from group one and two from group two (9) | |
| Group One | |
| MAT 362 Advanced Mathematics for Engineers and Scientists (3) | |
| MAT 370 Intermediate Calculus (3) | |
| MAT 371 Advanced Calculus I (3) | |
| MAT 460 Vector Calculus (3) | |
| Group Two | |
| MAT 351 Mathematical Methods for Genetic Analysis CS (3) | |
| MAT 415 Introduction to Combinatorics (3) | |
| MAT 416 Introduction to Graph Theory (3) | |
| MAT 419 Introduction to Linear Programming CS (3) | |
| MAT 423 Numerical Analysis I CS (3) | |
| MAT 425 Numerical Analysis II CS (3) | |
| MAT 447 Cryptography (3) | |
| MAT 451 Mathematical Modeling CS (3) | |
| MAT 452 Introduction to Chaos and Nonlinear Dynamics (3) | |
| MAT 455 Introduction to Fractals and Applications (3) | |
| MAT 461 Applied Complex Analysis (3) | |
| MAT 462 Applied Partial Differential Equations (3) | |
| MAT 475 Differential Equations (3) | |
| MAT 476 Partial Differential Equations (3) | |
| STP 420 Introductory Applied Statistics CS (3) | |
| STP 421 Probability (3) | |
| STP 425 Stochastic Processes (3) | |
| STP 427 Mathematical Statistics (3) | |
| STP 429 Experimental Statistics CS (3) | |
| Computer Science Requirement | |
| CSE 200 | Concepts of Computer Science CS (3) |
| CSE 210 | Object-Oriented Design and Data Structures CS (3) |
| CSE 240 | Introduction to Programming Languages (3)
or CSE 310 Data Structures and Algorithms (3) |
| Total: 9 | |
Science Requirement. Two one-year science course and lab sequences (for a total of 14-17 hours) are required. Upon advisor approval, two advanced courses for which the first one-year science and lab sequence is a prerequisite may be substituted for the second one-year science and lab sequence. Allowable one-year sequences include the following:
| Astrophysics | |
| Astrophysics sequence (8) | |
| AST 113 Astronomy Laboratory I SQ1 (1) | |
| AST 114 Astronomy Laboratory II SQ1 (1) | |
| AST 321 Introduction to Planetary and Stellar Astrophysics SQ1 (3) | |
| AST 322 Introduction to Galactic and Extragalactic Astrophysics SQ1 (3) | |
| Biology | |
| Choose one of the following sequences (8) | |
| BIO 187 General Biology I SG (4) | |
| BIO 188 General Biology II SQ (4) | |
| ——— or ——— | |
| BIO 188 General Biology II SQ (4) | |
| BIO 193 The Nature of Biological Science SQ (4) | |
| Chemistry | |
| Choose one of the following sequences (5–9) | |
| CHM 113 General Chemistry SQ (4) | |
| CHM 115 General Chemistry with Qualitative Analysis SQ (5) | |
| ——— or ——— | |
| CHM 113 General Chemistry SQ (4) | |
| CHM 116 General Chemistry SQ (4) | |
| ——— or ——— | |
| CHM 115 General Chemistry with Qualitative Analysis SQ2 (4) | |
| CHM 117 General Chemistry for Majors I SQ2 (4) | |
| ——— or ——— | |
| CHM 114 General Chemistry for Engineers SQ3 (4) | |
| CHM 231 Elementary Organic Chemistry SQ4 (3) | |
| CHM 235 Elementary Organic Chemistry Laboratory SQ3 (1) | |
| Geology | |
| Geology sequence (8) | |
| GLG 101 Introduction to Geology I (Physical) SQ, G4 (3) | |
| GLG 103 Introduction to Geology I—Laboratory SG4 (1) | |
| GLG 102 Introduction to Geology II (Historical) SG, H4 (3) | |
| GLG 104 Introduction to Geology II—Laboratory SG4 (1) | |
| Microbiology and Molecular Biosciences/Biotechnology | |
| Choose one of the following sequences (4) | |
| MIC 205 Microbiology SG5 (3) | |
| MIC 206 Microbiology Laboratory SG (1) | |
| ——— or ——— | |
| MIC 206 Microbiology Laboratory SG (1) | |
| MIC 220 Biology of Microorganisms (3) | |
| ——— or ——— | |
| MBB 245 Cellular and Molecular Biology SQ6 (3) | |
| MBB 246 Cellular and Molecular Biology Laboratory SQ6 (1) | |
| Physics | |
| Choose one of the following sequences (8) | |
| PHY 121 University Physics I: Mechanics SQ7 (3) | |
| PHY 122 University Physics Laboratory SQ7 (1) | |
| PHY 131 University Physics II: Electricity and Magnetism SQ7 (3) | |
| PHY 132 University Physics Laboratory II SQ7 (1) | |
| ——— or ——— | |
| PHY 150 Physics I SQ (4) | |
| PHY 151 Physics II SQ (4) | |
| Plant Biology | |
| Choose one of the following sequences (4) | |
| PLB 200 Biology of Plants SQ8 (3) | |
| PLB 201 Biology of Plants Laboratory SQ8 (1) | |
| ——— or ——— | |
| MBB 245 Cellular and Molecular Biology SQ6 (3) | |
| MBB 246 Cellular and Molecular Biology Laboratory SQ6 (1) | |
| Internship, Research, or Advanced Science Requirement | |
| Choose one of the following courses (3) | |
| MAT 484 Internship9 (3) | |
| MAT 493 Honors Thesis/Research10 (3) | |
| MAT 494 ST: Independent Study/Research9 (3) | |
| One advanced course in science for which a one-year sequence in the same science is required | |
| 1 | Both AST 113 and 321 or both AST 114 and 322 must be taken to secure SQ credit. |
| 2 | CHM 115 and 117 are strongly recommended for qualified students. |
| 3 | Both CHM 231 and 235 must be taken to secure SQ credit. |
| 4 | Both GLG 101 and 103 must be taken to secure SQ credit, and both GLG 102 and 104 must be taken to secure SG credit. |
| 5 | Both MIC 205 and 206 must be taken to secure SG credit. |
| 6 | Both MBB 245 and 246 must be taken to secure SQ credit. |
| 7 | Both PHY 121 and 122 and both PHY 131 and 132 must be taken to secure SQ credit. |
| 8 | Both PLB 200 and 201 must be taken to secure SQ credit. |
| 9 | This course requires prior department approval. |
| 10 | Enrollment is restricted to students in the Barrett Honors College. |
Restrictions: MAT 342 and 343 may not both be counted toward major requirements in Computational Mathematical Sciences. MAT 370 and 371 may not both be counted toward major requirements in Computational Mathematical Sciences. Credit may not be earned for both MAT 274 and 275.
Statistics Concentration Requirements. The B.S. degree in Mathematics with the concentration in statistics requires a minimum of 42 semester hours of course work in mathematics and statistics, plus a minimum of 13 semester hours in computer science and related fields, for a minimum of 55 semester hours of course work related to the major. A grade of “C” or higher is required in all courses taken for the major. MAT 370 and 371 may not both be used to satisfy these requirements. The course work has the following components:
| Core Courses | |
| MAT 270 | Calculus with Analytic Geometry I MA (4) |
| MAT 271 | Calculus with Analytic Geometry II MA (4) |
| MAT 272 | Calculus with Analytic Geometry III MA (4) |
| MAT 300 | Mathematical Structures L (3) |
| MAT 342 | Linear Algebra (3) |
| MAT 371 | Advanced Calculus I (3) |
| STP 420 | Introductory Applied Statistics CS (3) |
| STP 421 | Probability (3) |
| STP 427 | Mathematical Statistics (3) |
| STP 429 | Experimental Statistics CS (3) |
| Total: 33 | |
| Computer Science Requirement | |
| CSE 200 | Concepts of Computer Science CS (3) |
| Total: 3 | |
| Additional Advanced Courses in Mathematics and Statistics | |
| Three courses from the following list (9) | |
| MAT 274 Elementary Differential Equations MA (3) | |
| MAT 372 Advanced Calculus II (3) | |
| MAT 423 Numerical Analysis I CS (3) | |
| MAT 442 Advanced Linear Algebra (3) | |
| STP 425 Stochastic Processes (3) | |
| Required Related Field Course Work | |
| Statistics/probability, mathematics, or related fields* (10) |
| * | See “Related Field Course List.” |
Actuarial Science. The faculty in the Department of Mathematics and Statistics offer courses that cover the content of the mathematical examinations of the Society of Actuaries. See the department’s actuarial advisor for more information.
The minor in Mathematics consists of a minimum of 20 semester hours. Required courses are as follows:
| MAT 271 | Calculus with Analytic Geometry II MA (4) |
| MAT 272 | Calculus with Analytic Geometry III MA (4) |
| MAT 342 | Linear Algebra (3) |
| Total: 11 |
Electives must be upper-division courses in mathematics (MAT) or Statistics and Probability (STP). Students may not apply MAT 485 or a course not offered at the ASU main campus to the math minor, unless otherwise approved by a math department advisor. Students not in the College of Engineering and Applied Sciences cannot use MAT 362 unless otherwise approved by the math department advisor.
The minor in Statistics consists of a minimum of 20 semester hours. Required courses are the following:
| MAT 271 | Calculus with Analytic Geometry II MA (4) |
| MAT 272 | Calculus with Analytic Geometry III MA (4) |
| MAT 300 | Mathematical Structures L (3) |
| STP 420 | Introductory Applied Statistics CS (3) |
| STP 421 | Probability (3) |
| STP 427 | Mathematical Statistics (3)
or STP 429 Experimental Statistics CS (3) |
| Total: 20 |
The minor in Computational Mathematical Sciences consists of a minimum of 20 semester hours. Required courses are the following:
| MAT 271 | Calculus with Analytic Geometry II MA (4) |
| MAT 272 | Calculus with Analytic Geometry III MA (4) |
| MAT 342 | Linear Algebra (3) |
| MAT 420 | Scientific Computing (3) |
| MAT 421 | Applied Computational Methods CS (3) |
| MAT 423 | Numerical Analysis I CS (3)
or MAT 425 Numerical Analysis II CS (3) |
| Total: 20 |
It is recommended that students take MAT 243 Discrete Mathematical Structures.
Concentrations in computational mathematical sciences, mathematics, and statistics are available under the Bachelor of Interdisciplinary Studies (B.I.S.) degree, a program intended for the student who has academic interests that might not be satisfied with existing majors. Building on two academic concentrations (or one double concentration) and an interdisciplinary core, students in the B.I.S. program take active roles in creating their educational plans and defining their career goals. For more information, see Division of Undergraduate Academic Services, “Bachelor of Interdisciplinary Studies.”
Mathematics. This degree is offered through the Initial Teacher Certification program in the College of Education. Students pursuing a major in Secondary Education have an advisor in the College of Education and an advisor within the department of their academic specialization area.
See “College of Education” for information on admission eligibility requirements, admission deadlines, field experiences, and student teaching. For more information, or to schedule an appointment with an advisor, call the Office of Student Services in the College of Education at 480/965-5555.
The academic specialization consists of the following required courses:
| CSE 100 | Principles of Programming with C++ CS (3)
or CSE 200 Concepts of Computer Science CS (3) |
| MAT 270 | Calculus with Analytic Geometry I MA (4) |
| MAT 271 | Calculus with Analytic Geometry II MA (4) |
| MAT 272 | Calculus with Analytic Geometry III MA (4) |
| MAT 300 | Mathematical Structures L (3) |
| MAT 310 | Introduction to Geometry (3) |
| MAT 342 | Linear Algebra (3) |
| MAT 370 | Intermediate Calculus (3)
or MAT 371 Advanced Calculus I (3) |
| MAT 443 | Introduction to Abstract Algebra (3)
or MAT 445 Theory of Numbers (3) |
| MTE 483 | Mathematics in the Secondary School (3) |
| STP 420 | Introductory Applied Statistics CS (3) |
| Total: 36 |
The methods in academic specialization courses for mathematics are MTE 482 Methods of Teaching Mathematics in Secondary School and MTE 494 ST: Advanced Methods of Teaching Secondary Mathematics. They are required as part of the Initial Teacher Certification program but cannot be counted as part of the 36-hour major requirement.
Minor Teaching Field. The minor teaching field is a minor in mathematics for presecondary teachers, consisting of the following required courses:
| MAT 271 | Calculus with Analytic Geometry II MA (4) |
| MAT 272 | Calculus with Analytic Geometry III MA (4) |
| MAT 300 | Mathematical Structures L (3) |
| MAT 310 | Introduction to Geometry (3) |
| MAT 342 | Linear Algebra (3) |
| MAT 370 | Intermediate Calculus (3)
or MAT 371 Advanced Calculus I (3) |
| Total: 20 |
The faculty in the Department of Mathematics and Statistics offer programs leading to the degrees of Master of Natural Science, M.A., and Ph.D. See 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. |
| Page Last Updated:
November 16, 2005 | Visits to this page: |