Course Requirements

Concentration Requirements

Students must also complete the requirements from one of the following concentrations: Pure Mathematics; Statistics; Actuarial Science; Financial Mathematics; Quantitative Analysis and Operations Research; Applied and Computational Mathematics; or Individualized.

If the student chooses to declare more than one Mathematical Sciences concentration, then the student must complete the requirements for each concentration, and take at least three additional 300-level courses overall.  For example, a student earning two concentrations would have taken at least nine 300-level courses, and a student earning three concentrations would have taken at least twelve 300-level courses.

 

MAT 150

CALCULUS I

Limits, continuity, the derivative, rules of differentiation, applications of the derivative, extrema, curve sketching, and optimization. This course meets for an additional 1.5-hour lab session each week for enrichment and problem solving.
Prerequisites:
MAT 131 or placement by test is a prerequisite for this class.

MAT 151

CALCULUS II

Definite and indefinite integrals, the Fundamental Theorem of Calculus, applications of the integral, exponential and logarithmic functions, inverse trigonometric functions, techniques of integration. This course meets for an additional 1.5-hour lab session each week for enrichment and problem solving.
Prerequisites:
MAT 150 or MAT 160 or MAT 170 is a prerequisite for this class.

MAT 152

CALCULUS III

L'Hopital's rule, improper integrals, sequences and series, Taylor polynomials. This course meets for an additional 1.5-hour lab session each week for enrichment and problem solving.
Prerequisites:
MAT 151 or MAT 161 or MAT 171 is a prerequisite for this class.

MAT 147

CALCULUS WITH INTEGRATED PRECALCULUS I

Limits, continuity, the derivative, rules of differentiation, and applications, with precalculus review included for each topic. The full MAT 147-8-9 sequence covers all the material of MAT 150-1-2 plus additional precalculus material.
Prerequisites:
MAT 130 or equivalents or placement by test is a prerequisite for this class.

A&S 491

ADMINISTRATIVE THEORY AND BEHAVIOR

This course concerns theoretical concepts and empirical research relating to administrative behavior in organizations with special reference to educational organizations. Concepts are examined within the typical decisional framework of supervisors, chief school business officers, principles, and superintendents, and similar positions in the helping professions. Assignments are individualized.
Prerequisites:
Status as an Advanced Masters Education student is a prerequisite for this class.

MAT 160

CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS I

Limits, continuity, the derivative, rules of differentiation, applications of the derivative, extrema, curve sketching, and optimization. Course meets for an additional 1.5 hour lab session each week in order to cover the material in greater depth. Students considering a math major are advised to take the 160 or 170 sequence.
Prerequisites:
MAT 131 or placement by test is a prerequisite for this class.

MAT 161

CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS II

Definite and indefinite integrals, the Fundamental Theorem of Calculus, applications of the integral, exponential and logarithmic functions, inverse trigonometric functions, techniques of integration. Course meets for an additional 1.5 hour lab session each week in order to cover the material in greater depth.
Prerequisites:
MAT 147 or MAT 150 or MAT 160 or MAT 170 is a prerequisite for this class.

MAT 162

CALCULUS FOR MATHEMATICS AND SCIENCE MAJORS III

L'Hopital's rule, improper integrals, sequences and series, Taylor polynomials. Course meets for an additional 1.5 hour lab session each week in order to cover the material in greater depth.
Prerequisites:
MAT 151 or MAT 161 or MAT 171 is a prerequisite for this class.

MAT 170

CALCULUS I WITH SCIENTIFIC APPLICATIONS

The course covers the following topics using examples from the sciences: Functions as models, logarithmic scale graphing, exponential growth and decay, difference equations and limits of sequences, geometric series, functions and limits, trigonometric functions and their limits, continuity, limits at infinity, the derivative, differentiation rules, derivatives of trigonometric and exponential functions, related rates, derivatives of inverse and logarithm functions. Course meets for an additional lab session each week during which time students will work on applied mathematics projects based on the topics covered in the course. Students majoring in the sciences should consult with their major department to decide between the 160 and 170 sequences.
Prerequisites:
MAT 131 or placement by test is a prerequisite for this class.

MAT 172

CALCULUS III WITH DIFFERENTIAL EQUATIONS

This course is designed for students in the life sciences and covers some topics from MAT 152, differential equations and an introduction to the Calculus of functions of several variables. Specific topics are as follows. Numerical integration, partial fraction expansions, Taylor approximations of a function, differential equations, separation of variables, slope fields, Euler's existence theorem, polygonal approximations to solutions of differential equations, the logistic equation and allometric growth models, equilibiria of differential equations and their stability, applications of stability theory, functions of several variables, partial derivatives, directional derivative and the gradient. Course meets for an additional lab session each week during which time students will work on applied mathematics projects based on the topics covered in the course. PREREQUISITE(S): MAT 151 or MAT 161or MAT 171.
Prerequisites:
MAT 151 or MAT 161 or MAT 171 is a prerequisite for this class.

MAT 260

MULTIVARIABLE CALCULUS I

Vectors, dot and cross products, lines and planes, cylinders and quadric surfaces, vector-valued functions, parametrization of plane curves and three dimensional curves, arc length, curvature and normal vector, functions of several independent variables, partial derivatives, the chain rule, directional derivatives, differentials, extreme values.
Prerequisites:
MAT 149 or MAT 152 or MAT 162 or MAT 172 is a prerequisite for this class.

MAT 261

MULTIVARIABLE CALCULUS II

Lagrange multipliers, double and iterated integrals, area by double integrals, triple integrals, triple integrals in cylindrical and spherical coordinates, line integrals, vector fields, conservative vector fields and potential functions, Green?s Theorem, surface integrals, Stokes? Theorem, Gauss? Theorem.
Prerequisites:
MAT 260 is a prerequisite for this class.

MAT 262

LINEAR ALGEBRA

Systems of linear equations and matrices; vectors in n-space; vector spaces: linear combinations, linear independence, basis; linear transformations, change of basis, eigenvalues and eigenvectors.
Prerequisites:
MAT 260 is a prerequisite for this class.

MAT 215

INTRODUCTION TO MATHEMATICAL REASONING

An introduction to basic concepts and techniques used in higher mathematics courses: set theory, equivalence relations, functions, cardinality, techniques of proof in mathematics. The emphasis is on problem solving and proof construction by students. The department recommends that students take this course no later than the spring quarter of the sophomore year.
Prerequisites:
MAT 149 or MAT 152 or MAT 162 or MAT 172 is a prerequisite for this class.

MAT 140

DISCRETE MATHEMATICS I

Combinatorics, graph theory, propositional logic, singly-quantified statements, operational knowledge of set theory, functions, number systems, methods of direct and indirect proof.
Prerequisites:
MAT 130 or above or equivalents or placement by test is a prerequisite for this class.

MAT 141

DISCRETE MATHEMATICS II

Methods of direct and indirect proof, set theoretic proofs, sequences, mathematical induction, recursion, multiply-quantified statements, relations and functions, complexity.
Prerequisites:
MAT 140 is a prerequisite for this class.

CSC 241

INTRODUCTION TO COMPUTER SCIENCE I

An introduction to problem solving, algorithms and structured programming using a higher-level programming language. The course will focus on skills for developing algorithms, and for writing and debugging programs. Students will learn how and when to use loops, conditionals, and functional abstractions in the context of problems motivated by real world applications. PREREQUISITE(S): MAT 130 or Mathematics Diagnostic Test placement into MAT 140.

MAT 148

CALCULUS WITH INTEGRATED PRECALCULUS II

Extrema, curve sketching, related rates, definite and indefinite integrals, applications of the integral, exponential and logarithmic functions, with precalculus review included for each topic.
Prerequisites:
MAT 147 is a prerequisite for this class.

MAT 149

CALCULUS WITH INTEGRATED PRECALCULUS III

Techniques of integration, L'Hopital's rule, improper integrals, Taylor polynomials, series and sequences, first-order differential equations, with precalculus review included for each topic.
Prerequisites:
MAT 148 is a prerequisite for this class.

MAT 171

CALCULUS II WITH SCIENTIFIC APPLICATIONS

The course covers the following topics using examples from the sciences: Applications of the derivative including approximation and local linearity, differentials, extrema and the Mean Value Theorem, monotonicity and concavity, extrema, inflection points, graphing, L'Hospital's Rule, optimization, and the Newton-Raphson method, antiderivaties, the definite integral, Riemann sums, the Fundamental Theorem of Calculus, area, cumulative change, average value of a function, and techniques of integration: substitution rule and integration by parts. Course meets for an additional lab session each week during which time students will work on applied mathematics projects based on the topics covered in the course. Course meets for an additional lab session each week during which time students will work on applied mathematics projects based on the topics covered in the course.
Prerequisites:
MAT 150 or MAT 160 or MAT 170 is a prerequisite for this class.