Department of Mathematics and Statistics PS A216
Dieter Armbruster, Interim Chair ProfessorsArmbruster, Barcelo, Bremner, Carlson, Eubank, Gardner, Ihrig, Z. Jackiewicz, Kadell, Kawski, Kierstead, Kostelich, Kuang, Kuiper, Lohr, Lopez, Mahalov, Mittelmann, Nicolaenko, Quigg, Renaut, Ringhofer, Smith, Suslov, Thieme, Thompson, Young Associate ProfessorsBaer, Blount, Childress, Farmer, Gelb, Hurlbert, D. Jones, J. Jones, Kaliszewski, Moore, Nikitin, Prewitt, Spielberg, Taylor, Welfert Senior LecturersAbramson, Isom, Kolossa, Miller, Odish, Rody, Ruedemann, Surgent, Trapuzzano, Vaz, Zhu LecturersArce, Ashbrook, Brewer, Coombs, D’ Alesandro, Downs, Firozzaman, Fulman, Heckman, E. Jackiewicz, E. Jones, Kellgren, Kim, Maris, Martin, Masilamani, McClure, Melendez, Newhouse, Pecuch-Herrero, Reynolds, Richardson, Seal, Tracogna, Turner, Ward, Williams
The Department of Mathematics and Statistics offers the BA and BS degrees in Mathematics. Students who plan to attend graduate school in mathematics or statistics should choose the BS degree. The department also offers the BS degree in Computational Mathematical Sciences. The department also offers a minor in Mathematics and an academic specialization in mathematics for students pursuing the BAE degree in Secondary Education. The BA 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” (2.00) 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 CoursesMAT 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) Computer Science Requirement
CSE 100 Principles of Programming with C++ CS (3) Additional Course Work in Mathematics and Statistics1Five additional courses in mathematics and statistics are also required (15 semester hours) Related Field Course Work2Course work in mathematics, statistics, or related fields (12) 1 Acceptable mathematics courses are MAT 243, 274, and upper-division MAT courses, with the exception of MAT 362, 485, and MAT 411. Acceptable statistics courses are upper-division STP courses. 2 For a list of related field course work, see an advisor in PSA 211, or access math.la.asu.edu/undergrd/degree/related-fields.html. The Department of Mathematics and Statistics has three avenues for earning a BS degree. The BS requirements are similar to the BA 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 BS degree with the statistics concentration are a subset of those for the BS degree. The requirements for the BS degree and for the BS degree with the computational mathematical sciences concentration are distinct; neither is a subset of the other. BS RequirementsThe BS 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” (2.00) 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. Credit may not be earned for both MAT 274 and 275 or for both MAT 342 and 343. The required course work has the following components: Core CoursesMAT 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) Depth RequirementTwo 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 472 Intermediate Real Analysis I (3) MAT 473 Intermediate Real Analysis II (3) MAT 475 Differential Equations (3) Advanced Courses in Mathematics and Statistics1Two courses from the following list, both preferably taken from the same grouping (6) Algebra, Topology, and Number TheoryMAT 410 Introduction to General Topology (3) MAT 442 Advanced Linear Algebra (3) MAT 443 Introduction to Abstract Algebra (3) Applied Mathematics and DynamicsMAT 451 Mathematical Modeling CS (3) Computational MathematicsMAT 420 Scientific Computing (3) MAT 421 Applied Computational Methods CS (3) MAT 423 Numerical Analysis I CS (3) Differential EquationsMAT 462 Applied Partial Differential Equations (3) Related Fields Course Work3Course 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 243, 274, and upper division MAT courses, with the exception of MAT 310, 362, 485, and MAT 411. Acceptable statistics courses are 400-level STP courses. 3 For a list of related field course work, see an advisor in PSA 211, or access math.la.asu.edu/undergrd/degree/related-fields.html.
COMPUTATIONAL MATHEMATICAL The BS 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 BS degree in Computational Mathematical Sciences and for the BS degree in Mathematics are distinct; neither is a subset of the other. A minimum grade of “C” (2.00) is required in all courses taken for the major. The BS 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) Core Courses in Computational Mathematics
MAT 275 Modern Differential Equations MA* (3)
MAT 343 Applied Linear Algebra* (3) Advanced Courses in Mathematics and StatisticsChoose one course from group one and two from group two (9) MAT 370 Intermediate Calculus (3) MAT 371 Advanced Calculus I (3) 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 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 425 Stochastic Processes (3) Science RequirementTwo one-year science course and lab sequences (for a total of 14 to 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: AstrophysicsAST 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) GeologyGLG 101 Introduction to Geology I (Physical) SQ, G4 (3) GLG 103 Introduction to Geology I—Laboratory SQ4 (1) PhysicsChoose one of the following sequences (8) PHY 121 University Physics I: Mechanics SQ6 (3) PHY 122 University Physics Laboratory I SQ6 (1) PHY 131 University Physics II: Electricity and Magnetism SQ6 (3) Internship, Research, or Advanced Science RequirementChoose one of the following courses (3) MAT 493 Honors Thesis/Research9 (3) MAT 494 ST: Independent Study/Research8 (3)
One advanced course in science for which a one-year sequence 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 MIC 206 must be taken to secure SG credit. 6 Both PHY 121 and 122 and both PHY 131 and 132 must be taken to secure SQ credit. 7 Both PLB 200 and 201 must be taken to secure SQ credit. 8 This course requires prior department approval. 9 Enrollment is restricted to students in the Barrett Honors College. Restrictions: 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, or for both MAT 342 and 343. Statistics Concentration RequirementsThe BS 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” (2.00) 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 CoursesMAT 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) Additional Advanced Courses in Mathematics and StatisticsThree 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) Required Related Field Course WorkStatistics/probability, mathematics, or related fields* (10) * For a list of related field course work, see an advisor in PSA 211, or access math.la.asu.edu/undergrd/degree/related-fields.html. Actuarial ScienceThe 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. Cryptographic ScienceThe faculty in the Department of Mathematics and Statistics offer courses that prepare students for graduate studies and careers in cryptography. See the department’s advisors for more information. MINORS IN MATHEMATICS AND STATISTICS 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 11Electives 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 Tempe campus to the minor, unless otherwise approved by a 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 427 Mathematical Statistics (3) Total 20The 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) Total 20It 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 (BIS) 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 BIS program take active roles in creating their educational plans and defining their career goals. For more information, see School of Interdisciplinary Studies. MathematicsThis 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) 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)
MAT 443 Introduction to Abstract Algebra (3) MTE 483 Mathematics in the Secondary School (3) STP 420 Introductory Applied Statistics CS (3) Total 36The 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. The faculty in the Department of Mathematics and Statistics offer programs leading to the degrees of Master of Natural Science, MA, and PhD. See the Graduate Catalog for requirements. Omnibus Courses. For an explanation of courses offered but not specifically listed in this catalog, see Omnibus Courses. Graduate-Level Courses. For information about courses numbered from 500 to 799, see the Graduate Catalog, or access www.asu.edu/aad/catalogs on the Web. In some situations, undergraduate students may be eligible to take these courses; for more information, see Graduate-Level Courses.
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