Summer Session

MAT 118: Mathematical Thinking

Undergraduate 3 credits

Prerequisite: C or better in MAP 103 or level 2+ or higher on the mathematics placement examination (Prerequisite must be met within one year of beginning this course.)

DEC: C SBC: QPS

Development of quantitative thinking and problem solving abilities through a selection of mathematical topics: logic and reasoning; numbers, functions, and modeling; combinatorics and probability; growth and change. Other topics may include geometry, statistics, game theory, and graph theory. Through their engagement in problem solving, students develop an appreciation of the intellectual scope of mathematics and its connections with other disciplines.

MAT 123: Precalculus

Undergraduate 3 credits

Prerequisite: C or better in MAP 103 or level 3 on the mathematics placement exam or corequisite MAT 119 (Prerequisite must be met within one year prior to beginning the course.)

DEC: C SBC: QPS

Comprehensive preparation for the regular calculus sequences. Careful development of rational, exponential, logarithmic, and trigonometric functions, and their applications. Asymptotics and curve sketching. General modeling examples. This course has been designated as a High Demand/Controlled Access (HD/CA) course. Students registering for HD/CA courses for the first time will have priority to do so.

MAT 125: Calculus A

Undergraduate 3 credits

Prerequisite: C or higher in MAT 123; or level 4 on the mathematics placement examination; or coreq uisite MAT 130

DEC: C SBC: QPS

Differential calculus, emphasizing conceptual understanding, computations and applications, for students who have the necessary background from 12th-year high school mathematics. Limits and continuous functions. Differentiation of elementary algebraic, trigonometric, exponential and logarithmic functions; graphing; modeling; and maximization. L'Hospital's rule. May not be taken for credit in addition to MAT 131 or 141 or AMS 151. This course has been designated as a High Demand/Controlled Access (HD/CA) course. Students registering for HD/CA courses for the first time will have priority to do so.

MAT 126: Calculus B

Undergraduate 3 credits

Prerequisite: C or higher in MAT 125 or 131 or 141 or AMS 151 or level 6 on the mathematics placemen t examination

DEC: C SBC: QPS

A continuation of MAT 125, covering integral calculus: Riemann sums, the fundamental theorem, symbolic and numeric methods of integration, area under a curve, volume, applications such as work and probability, improper integrals. This course has been designated as a High Demand/Controlled Access (HD/CA) course. Students registering for HD/CA courses for the first time will have priority to do so.

MAT 127: Calculus C

Undergraduate 3 credits

Prerequisite: C or higher in MAT 126 or level 8 on the mathematics placement examination

DEC: C SBC: QPS

A continuation of MAT 126, covering: sequences, series, Taylor series, differential equations and modeling. May not be taken for credit in addition to MAT 132, MAT 142, MAT 171, or AMS 161. This course has been designated as a High Demand/Controlled Access (HD/CA) course. Students registering for HD/CA courses for the first time will have priority to do so.

MAT 131: Calculus I

Undergraduate 4 credits

Prerequisite: B or higher in MAT 123 or level 5 on the mathematics placement examination

DEC: C SBC: QPS

The differential calculus and integral calculus, emphasizing conceptual understanding, computations and applications, for students who have the necessary background from 12th-year high school mathematics. Differentiation of elementary algebraic; trigonometric, exponential, and logarithmic functions; graphing; modelling and maximization; L'Hospital's rule; the Riemann integral; and the Fundamental Theorem of Calculus. May not be taken for credit in addition to MAT 125 or 141 or AMS 151. This course has been designated as a High Demand/Controlled Access (HD/CA) course. Students registering for HD/CA courses for the first time will have priority to do so.

MAT 132: Calculus II

Undergraduate 4 credits

Prerequisite: C or higher in AMS 151 or MAT 131, or level 7 on the mathematics placement examination

DEC: C SBC: QPS

A continuation of MAT 131, covering symbolic and numeric methods of integration; area under a curve; volume; applications such as work and probability; sequences; series; Taylor series; differential equations; and modelling. May not be taken for credit in addition to MAT 127, MAT 142, MAT 171, or AMS 161. This course has been designated as a High Demand/Controlled Access (HD/CA) course. Students registering for HD/CA courses for the first time will have priority to do so.

MAT 200: Logic, Language and Proof

Undergraduate 3 credits

Prerequisite: Level 4 on the mathematics placement examination or equivalent course or permission of the instructor

SBC: STEM+

A basic course in the logic of mathematics, the construction of proofs and the writing of proofs. The mathematical content is primarily logic and proofs, set theory, combinatorics, functions and relations. There is considerable focus on writing. May not be taken for credit in addition to MAT 250.

MAT 203: Calculus III with Applications

Undergraduate 4 credits

Prerequisite: C or higher in MAT 127 or 132 or AMS 161 or level 9 on the mathematics placement exami nation

SBC: STEM+

Vector algebra in two and three dimensions, multivariate differential and integral calculus, optimization, vector calculus including the theorems of Green, Gauss, and Stokes. Applications to economics, engineering, and all sciences, with emphasis on numerical and graphical solutions; use of graphing calculators or computers. May not be taken for credit in addition to AMS 261.

MAT 211: Introduction to Linear Algebra

Undergraduate 3 credits

Prerequisite: C or higher in AMS 151 or MAT 131 or 141 or coregistration in MAT 126 or level 7 on t he mathematics placement examination

SBC: STEM+

Introduction to the theory of linear algebra with some applications; vectors, vector spaces, bases and dimension, applications to geometry, linear transformations and rank, eigenvalues and eigenvectors, determinants and inner products. May not be taken for credit in addition to AMS 210.

MAT 303: Calculus IV with Applications

Undergraduate 4 credits

Prerequisite: C or higher in MAT 127 or 132 or AMS 161 or level 9 on the mathematics placement exami nation

SBC: STEM+

Homogeneous and inhomogeneous linear differential equations; systems of linear differential equations; series solutions; Laplace transforms; Fourier series. Applications to economics, engineering, and all sciences with emphasis on numerical and graphical solutions; use of computers. May not be taken for credit in addition to AMS 361 or MAT 308.

MAT 310: Linear Algebra

Undergraduate 4 credits

Prerequisite: C or higher in MAT 211 or 308 or AMS 210 or MAT 220; C or higher in MAT 200 or MAT 250 or permission of instructor

Finite dimensional vector spaces, linear maps, dual spaces, bilinear functions, inner products. Additional topics such as canonical forms, multilinear algebra, numerical linear algebra.

MAT 312: Applied Algebra

Undergraduate 3 credits

Prerequisite: C or higher in AMS 210 or MAT 211 or MAT 220 or MAT 308 Advisory Prerequiste: MAT 200 or CSE 250 or equivalent

Topics in algebra: groups, informal set theory, relations, homomorphisms. Applications: error correcting codes, Burnside's theorem, computational complexity, Chinese remainder theorem. This course is offered as both AMS 351 and MAT 312.

MAT 341: Applied Real Analysis

Undergraduate 3 credits

Prerequisites: C or higher in the following: MAT 203 or 220 or 307 or AMS 261; MAT 303 or 305 or 308 or AMS 361 Advisory Prerequisite: MAT 200 or MAT 250

Partial differential equations of mathematical physics: the heat, wave, and Laplace equations. Solutions by techniques such as separation of variables using orthogonal functions (e.g., Fourier series, Bessel functions, Legendre polynomials). D'Alembert solution of the wave equation.

MAT 342: Applied Complex Analysis

Undergraduate 3 credits

Prerequisite: C or higher in the following: MAT 203 or MAT 220 or MAT 307 or AMS 261 Advisory Prerequisite: MAT 200 or MAT 250

Complex numbers, analytic functions, the Cauchy-Riemann and Laplace equations, the Cauchy integral formula and applications. Fundamental Theorem of Algebra and the Maximum Principle. The Cauchy residue theorem and applications to evaluating real integrals. Conformal mappings.

MAT 501: Math for Elementary Teachers

Graduate 3 credits

BS degree and certification to teach grades K-6.

Students study the structure of whole numbers, integers, fractional and decimal representations of rational numbers, and real numbers. Students extend their understanding of whole numbers to the rational and real numbers. Students create mathematical tasks appropriate to grades K-2, 3-5, and 6-8. Not available for credit for MA mathematics or MAT mathematics degrees.

MAT 511: Fundamental Concepts of Math

Graduate 3 credits

Fundamental Concepts of Mathematics. Brief history of mathematics; sets, functions and logic; constructions of number systems, including their historical development; mathematical induction. The main focus of the course will be on the construction and writing of mathematical proofs. Fall, Spring, or Summer,

MAT 514: Analysis for Teachers II

Graduate 3 credits

Topics in calculus, its foundations, and its applications. Emphasis is on integration and on numerical techniques. This course is designed for teachers and prospective teachers of advanced placement calculus. Mathematical topics integrate the study of the historical development of calculus, including contributions from diverse cultures. Analysis for Teachers I is not a prerequisite for this course. Prerequisite: MAT 511 Fall, Spring, or Summer,

MAT 517: Calcul & Computers for Teacher

Graduate 3 credits

Calculators and Computers for teachers. Graphing calculators, programming, computing and curve sketching; Geometers Sketchpad or other computer based classroom tools; educational use of the world wide web. Fall, Spring, or Summer,