Mathematics (MTH)

A mastery-based course that will prepare students for college algebra.

An abridged mastery-based course that will prepare students for College Algebra.

Pre-req: MTH 121 with a minimum grade of D or MTH 121B with a minimum grade of D.

Critical thinking course for non-science majors that develops quantitative reasoning skills. Topics include logical thinking, problem-solving, linear modeling, beginning statistics and probability, exponential and logarithmic models, formula use, and financial concepts.

Pre-req: ACT Math with a score of 19 or SAT Mathematics Before Mar. 16 with a score of 460 or Placement Math with a score of 100 or Placement Math After SP17 with a score of 101 or Placement Math SP20 with a score of 241 or Math Workshop-UC with a score of 100 or MTH 102B with a minimum grade of C or SAT MATH SECTION SCORE with a score of 510.

Critical thinking course for non-science majors that develops quantitative reasoning skills. Topics include logical thinking, linear modeling, statistics and probability, exponential and logarithmic modeling, and financial concepts, with arithmetic review.

Pre-req: ACT Math with a score of 21 or SAT Mathematics Before Mar. 16 with a score of 530 or SAT MATH SECTION SCORE with a score of 530.

Definitions of circular functions; graphs of the trigonometric functions, trigonometric identities, and applications.

Pre-req: ACT Math with a score of 22 or SAT Mathematics Before Mar. 16 with a score of 520 or SAT MATH SECTION SCORE with a score of 540 or Placement Math After SP17 with a score of 103 or Placement Math SP20 with a score of 257 or MTH 127 with a minimum grade of C or MTH 130 (may be taken concurrently) with a minimum grade of C.

A brief but careful review of the main techniques of algebra. Polynomials, rational, exponential, and logarithmic functions. Graphs, equations and inequalities, sequences.

Pre-req: ACT Math with a score of 17 or SAT Mathematics Before Mar. 16 with a score of 400 or SAT MATH SECTION SCORE with a score of 460 or Placement Math After SP17 with a score of 101 or Placement Math SP20 with a score of 237 or Placement Math with a score of 100 or Math Workshop-UC with a score of 100 or MTH 102 with a minimum grade of C or MTH 102B with a minimum grade of C.

Polynomial, rational, exponential, and logarithmic functions. Graphs, equations and inequalities, sequences.

Pre-req: ACT Math with a score of 21 or SAT Mathematics Before Mar. 16 with a score of 500 or SAT MATH SECTION SCORE with a score of 530 or Placement Math After SP17 with a score of 102 or Placement Math SP20 with a score of 250.

Functions used in calculus including polynomial, rational, exponential, logarithmic, and trigonometric. Systems of equations and inequalities, conic sections, polar and parametric equations, sequences and series, Binomial Theorem.

Pre-req: ACT Math with a score of 24 or SAT Mathematics Before Mar. 16 with a score of 560 or SAT MATH SECTION SCORE with a score of 570 or Placement Math After SP17 with a score of 104 or Placement Math SP20 with a score of 263 or MTH 127 with a minimum grade of C or MTH 130 with a minimum grade of C.

A brief survey of calculus including both differentiation and integration with applications.

Pre-req: ACT Math with a score of 24 or SAT Mathematics Before Mar. 16 with a score of 560 or SAT MATH SECTION SCORE with a score of 570 or Placement Math After SP17 with a score of 104 or Placement Math SP20 with a score of 263 or MTH 127 with a minimum grade of C or MTH 130 with a minimum grade of C or MTH 130H with a minimum grade of C or MTH 132 with a minimum grade of C.

A brief survey of calculus including both differentiation and integration with applications. This honors course will also introduce topics from differential equations with applications.

Pre-req: ACT Math with a score of 24 or SAT Mathematics Before Mar. 16 with a score of 560 or SAT MATH SECTION SCORE with a score of 570 or Placement Math After SP17 with a score of 104 or Placement Math SP20 with a score of 263 or MTH 127 with a minimum grade of C or MTH 130 with a minimum grade of C or MTH 130H with a minimum grade of C or MTH 132 with a minimum grade of C.

A critical thinking course in applied mathematical reasoning. Topics include logic, problem solving, linear modeling, beginning statistics and probability, exponential and logarithmic modeling, formula use.

Pre-req: SAT Mathematics Before Mar. 16 with a score of 400 or ACT Math with a score of 17 or SAT MATH SECTION SCORE with a score of 460 or Placement Math After SP17 with a score of 101 or Placement Math SP20 with a score of 237 or MTH 102 with a minimum grade of C or MTH 102B with a minimum grade of C or MTH 127 with a minimum grade of C.

Sets, relations, directed and undirected graphs, monoids, groups, lattices, Boolean algebra, and propositional logic.

Pre-req: ACT Math with a score of 27 or SAT Mathematics Before Mar. 16 with a score of 610 or SAT MATH SECTION SCORE with a score of 630 or Placement Math After SP17 with a score of 105 or Placement Math SP20 with a score of 276 or MTH 132 with a minimum grade of C or MTH 140 with a minimum grade of C or MTH 229 with a minimum grade of C or MTH 229H with a minimum grade of C.

An introduction to calculus and analytic geometry, emphasizing critical thinking. Limits, derivatives, and integrals of the elementary functions of one variable, including transcendental functions.

Pre-req: ACT Math with a score of 27 or SAT Mathematics Before Mar. 16 with a score of 610 or SAT MATH SECTION SCORE with a score of 630 or Placement Math After SP17 with a score of 105 or Placement Math SP20 with a score of 276 or MTH 132 with a minimum grade of C.

An introduction to calculus and analytic geometry for honors students, emphasizing critical thinking. Limits, derivatives, and integrals of the elementary functions of one variable, including transcendental functions.

Pre-req: ACT Math with a score of 27 or SAT Mathematics Before Mar. 16 with a score of 610 or SAT MATH SECTION SCORE with a score of 630 or MTH 132 with a minimum grade of C.

A study of the conics and transcendental functions, techniques of integration, improper integrals, indeterminate forms and infinite series.

Pre-req: MTH 229 with a minimum grade of C or MTH 229H with a minimum grade of C.

Analytic geometry of two and three dimensions, partial differentiation, and multiple integrals.

Pre-req: MTH 230 with a minimum grade of C.

A transition between elementary calculus and higher mathematics with emphasis on techniques of proofs.

Pre-req: MTH 230 with a minimum grade of C.

An integrated study of proof, number, quantity, measurement, algebra, trigonometry, and geometry for secondary mathematics educators. Includes teaching techniques, engagement strategies, assessment analysis, and topics specific to professional educators.

Pre-req: MTH 229 with a minimum grade of C or (MTH 140 with a minimum grade of C and MTH 122 with a minimum grade of C).

An integrated study of proof, probability, statistics, functions, trigonometry, pre-calculus, and calculus for secondary mathematics educators. Includes teaching techniques, engagement strategies, assessment analysis, and topics specific to professional educators.

Pre-req: MTH 229 with a minimum grade of C or (MTH 140 with a minimum grade of C and MTH 122 with a minimum grade of C).

Systems of linear equations, matrices and determinants, vector spaces, linear transformations, eigenvalues, eigenvectors, and applications.

Pre-req: MTH 229 with a minimum grade of C or MTH 229H with a minimum grade of C.

Vector spaces, matrices and determinants, linear transformations, eigenvalues and eigenvectors, and applications.

Pre-req: MTH 300 (may be taken concurrently) with a minimum grade of C.

A study of differential equations, their solutions, and applications to physical systems, emphasizing closed-form solving methods. Laplace transforms, orthogonal functions, approximation and numerical methods with applications.

Pre-req: MTH 230 with a minimum grade of C.

An introductory survey of complex numbers, analytic functions, properties of elementary functions, integrals, series, residues and poles, with a focus on practical applications.

Pre-req: MTH 231 with a minimum grade of C.

A course in n-dimensional calculus: the derivative, the integral, and applications. Coordinate-free methods are emphasized.

Pre-req: MTH 231 with a minimum grade of C.

Emphasis on the language of Modern Elementary Algebra. Recommended for pre-service elementary teachers and for elementary and secondary in-service teachers. May not be used for either a degree offered by the Department of Mathematics or for a 7-9 or 7-12 mathematics specialization.

Pre-req: MTH 127 with a minimum grade of C or MTH 130 with a minimum grade of C.

Informal development of geometry. Recommended for preservice elementary teachers and for elementary and secondary inservice teachers. May not be used for either a degree offered by the Department of Mathematics or for a 7-9 or 7-12 mathematics specialization.

Pre-req: MTH 130 with a minimum grade of C or MTH 127 with a minimum grade of C.

Content and content-specific pedagogy for secondary mathematics education majors.

Pre-req: Admitted to Teacher ED with a score of 5.

A study of the history of mathematics from the time of the ancient Greeks to the end of the nineteenth century.

Pre-req: MTH 300 with a minimum grade of C.

Students work in teams to construct mathematical models of various real-world situations. Problems to be modeled are drawn from diverse areas of application and use a wide range of undergraduate mathematics.

Pre-req: MTH 231 with a minimum grade of C.

Differential equations. Heat Equation, Laplace's Equation, separation of variables, Fourier series, vibrating strings, eigenvalue problems, finite differences, Bessel functions, Legendre polynomials.

Pre-req: MTH 331 with a minimum grade of C and MTH 335 with a minimum grade of C.

Differential equations are studied qualitatively. Topics include the existence and uniqueness of solutions and the behavior of solutions including stability of nonlinear systems, periodic solutions, and approximation using pertubation methods.

Pre-req: MTH 300 and MTH 335.

The number system, limits, sequences, partial differentiation with applications, maxima and minima of functions of several variables. Theory of definite integrals, multiple integrals, line and surface integrals, improper integrals, infinite series.

Pre-req: MTH 231 with a minimum grade of C and MTH 300 with a minimum grade of C.

The number system, limits, sequences, partial differentiation with applications, maxima and minima of functions of several variables. Theory of definite integrals, multiple integrals, line and surface integrals, improper integrals, infinite series.

Pre-req: MTH 427 with a minimum grade of C.

First course in topology. Basics of point-set topology: metric and topological spaces, continuity, connectedness, compactness, products, quotients. Surfaces and simplicial complexes, Euler characteristics.

Pre-req: MTH 300 with a minimum grade of C.

First course in algebraic topology. Homotopy, fundamental group, simplicial homology.

Pre-req: MTH 430 with a minimum grade of C and MTH 450 with a minimum grade of C.

This course is designed to introduce students in mathematical sciences to the theorems, techniques, and applications of graph theory and combinatorics.

Pre-req: MTH 300 with a minimum grade of C.

Direct and iterative methods for numerical solution of linear systems of equations. Eigenvalues and eigenvectors. Error Analysis and norms. Related topics.

Pre-req: MTH 331 with a minimum grade of C.

The theory and technique of numerical computation involving the difference calculus, the summation calculus, interpolation methods, solution of systems of equations, and methods of solution of ordinary differential equations.

Pre-req: MTH 331 with a minimum grade of C.

Finite geometrics, basic background material for the modern development of Euclidean Geometry, other geometries.

Pre-req: MTH 300 with a minimum grade of C.

Projective Geometry using both synthetic and algebraic methods.

Pre-req: MTH 300 with a minimum grade of C.

Structure of the abstract mathematical systems; groups, rings, fields, with illustrations and applications from number theory.

Pre-req: MTH 300 with a minimum grade of C and MTH 331 (may be taken concurrently) with a minimum grade of C.

Continuation of MTH 450.

Pre-req: MTH 450 with a minimum grade of C.

A survey of number theory and cryptography topics. Topics include divisibility, modular arithmetic, quadratic residues, and quadratic reciprocity, hashing algorithms, cipher methods, and their cryptanalysis.

Pre-req: MTH 300 with a minimum grade of C.

Mathematical Cryptography provides an overview of algebraic structures, elliptic curves, linear codes, and additional cryptography topics.

Pre-req: MTH 455 with a minimum grade of C.

A supervised internship in an area of mathematics, applied mathematics, or statistics. By permission only.

Pre-req: MTH 300 with a minimum grade of C.

Capstone experience in reading, doing writing and speaking mathematics. Student will explore topics related to a theme chosen by the instructor.

Pre-req: MTH 300 with a minimum grade of C.