MTH Course Descriptions

MTH7003 PreAlgebra (3)
Topics include: Whole numbers; multiplying and dividing fractions; adding and subtracting fractions; decimals; ratio and proportion; percent; measurement and units; geometry; basic algebra; real number system; equations, inequalities and applications; graphs of linear equations and inequalities in two variables; exponents and polynomials; foil, rational expressions and applications. Note: Does not fulfill a Core Curriculum requirement; units do not apply toward the baccalaureate degree. Pass/Not Pass Grading.

MTH1012 Beginning Algebra (3)

Prerequisite: Math Placement Level 1 or MTH7003 with a grade of C or higher

Topics include: sets of real numbers, intervals, absolute values, linear equations and functions, inequalities, polynomials, factoring, and rational expressions.

Note: Does not satisfy the Core Curriculum Mathematics requirement; units do apply toward a Bachelor degree.

MTH1105 Mathematics and Life (3)
Prerequisite: Math Placement Level 1
This is an informal course for nonscience majors designed to introduce students to the role and usefulness of mathematics in everyday life. The focus is on understanding the process of applying mathematical analysis to current and real problems. With only simple mathematical tools, students get a glimpse of the power of mathematical thinking. Satisfies the Core Curriculum Mathematics Requirement.

MTH1111 Statistical Concepts (3)
Prerequisite: Math Placement Level 1
This is a one semester course covering basic statistical concepts leading to an understanding of experimental design, mean, median, and mode, standard deviation, correlation, and regression analysis. Also gives an introduction to hypothesis testing. Satisfies the Core Curriculum Mathematics Requirement.

MTH1111L Excel for Statistical Concepts (1)
Corequisite: Concurrent enrollment in MTH1111 or instructor's permission
Offers hands-on learning of Excel procedures for solving basic statistical problems. Topics are compatible with MTH1111 content: experimental design, mean, median, and mode, standard deviation, correlation and regression analysis, and an introduction to hypothesis testing.

MTH1214 College Algebra (3)
Prerequisite: Math Placement Level 2 or equivalent with a grade of C or higher
Includes a brief review of intermediate algebra: sets of real numbers, intervals, absolute value, quadratic equations, and inequalities. College algebra topics include: functions and their inverses, techniques of graphing functions, linear and quadratic functions, polynomial and rational functions, min-max problems, exponential and logarithmic functions, properties of logarithms, and exponential growth and decay. Emphasis is placed on developing conceptual understanding and problem-solving skills.

MTH1215 Trigonometry and Analytic Geometry (4)
Prerequisite: Math Placement Level 3 or MTH1214 or equivalent with grade of C or higher.
Covers trigonometric functions of angles and real numbers, graphs of trigonometric functions, trigonometric equations and inequalities, inverse trigonometric functions, the law of sines and cosines, conic sections in Cartesian coordinates (parabola, ellipse, and hyperbola), vectors in the plane, polar coordinates, and complex numbers. Additional precalculus topics if time permits include systems of equations, division of polynomials, and remainder and factor theorems for polynomials.

MTH1216 Pre-Calculus with Trigonometry (4)

Prerequisites: Math Placement Level 3 or MTH1214 or equivalent with grade of C or higher.

Covers functions, exponentials, logarithms, trigonometric functions of angles and real numbers, graphs of trigonometric functions, trigonometric equations and inequalities, inverse trigonometric functions, the law of sines and cosines, basic analytic geometry, conic sections, vectors in the plane, polar coordinates, systems of equations, binomial theorem.  Additional topics if time permits: remainder and factor theorems for polynomials, division of polynomials, mathematical induction, sequences and series, complex numbers.

MTH1320 Calculus I (4)
Prerequisites: Math Placement Level 4 or equivalent with a grade of C or higher
Functions, limits, continuity, rates of change, derivatives and their applications, the mean value theorem, curve sketching, min-max problems, antiderivatives, finite sums and sigma notation, double and triple finite sums, and arithmetic and geometric series and sums are studied. The course also includes sequences and limits of sequences, definite integrals, the fundamental theorem of calculus, and integration by substitution. Intended for students with a strong precalculus background.

MTH1321 Calculus II (4)
Prerequisites: MTH1320 or equivalent with a grade of C or higher
Covers applications of definite integrals, areas and volumes, derivatives and integrals of transcendental functions, techniques of integration, and improper integrals. The course also includes more on sequences and limits of sequences, overview of simple, double, and triple finite sums, arithmetic and geometric series, induction method, infinite series, series of functions, power series, and Taylor and Maclaurin series.

MTH1322 Applied Calculus (4)
Prerequisites: Math Placement Level 3 or equivalent with grade of C or higher
This course is designed for students in social or life sciences or business. Covers basic notions of derivative and integral, along with standard techniques of differentiation and integration with a focus on application rather than theory and rigor.

MTH1330 Calculus III (4)
Prerequisites: MTH1321 or equivalent with a grade of C or higher (PHY1304, PHY1306 recommended)
Covers parameterized curves and polar coordinates, vectors and 3-D analytic geometry, cylindrical and spherical coordinates, and topics in functions of two or more variables, including continuity, differentiability, partial derivatives, directional derivatives, gradient vectors, tangent planes, min-max and saddle points, and Lagrange multipliers. Double and triple integrals in various systems of coordinates and substitutions in multiple integrals are included.

MTH2419 Discrete Mathematics (4)
Prerequisites: MTH1320 with a grade of C or higher or permission of instructor (MTH1321 is recommended)
Covers logic and propositional calculus, sets, functions, sequences and summations, complexity of algorithms and big-O notation, methods of proof, matrices, induction, arithmetic and geometric progressions, recursion, program correctness, basic combinatorics, recurrence relations and algorithms, divide-and-conquer, inclusion-exclusion, relations, representing relations, equivalence relations and classes, boolean algebra, introduction to graphs and trees, and tree traversals.

MTH2450 Linear Algebra (4)
Prerequisites: MTH1321, MTH2419 with grades of C or higher or permission of instructor (MTH1330 is recommended)
Studies linear systems of equations, matrices, determinants, and techniques of inverting matrices. Topics include finite dimensional vector spaces, linear independence, basis and dimension, change of basis, orthonormal bases and the Gram-Schmidt process, linear transformations and matrices, kernel and range, eigenvalues and eigenvectors, diagonalization, and the Jordan canonical form. Applications of Linear Algebra are also studied.

MTH2485 Research/Project in Mathematics/Statistics (4)
Prerequisite: Permission of instructor
Provides an opportunity for students to produce original research, participate in projects and/or write a paper under the supervision of an instructor. Topics may be selected from Math/Stat theory or applications in Biology, Finance, Business, Social and Behavioral Sciences, Arts, or another area. May be repeated for credit.

MTH2502 Statistics (3)
Prerequisites: Math Placement Level 2 or MTH1213 with a grade of B or higher; MTH1214 with a grade of C or higher or Math Placement Level 3 recommended
Studies descriptive statistics, measures of central tendency and dispersion, probability concepts, normal distribution, sampling distributions, confidence intervals and hypothesis tests, chi-square procedures, correlation and regression, and analysis of variance. Emphasis is on understanding statistical concepts and their use in analyzing and interpreting data.

MTH2502L Excel for Statistics (1)
Corequisite: Concurrent enrollment in MTH2502 or instructor's permission
Offers hands-on learning of Excel procedures for solving statistical problems. Topics are compatible with MTH2503, MTH1111 content: descriptive statistics, measures of central tendency and dispersion, probability concepts, normal distribution, sampling distributions, confidence intervals and hypotheses tests, chi-square procedures, correlation and regression, and analysis of variance.

MTH2522 Probability and Statistics (4)
Prerequisites: MTH1321 with a grade of C or higher or permission of instructor (MTH1330 and/or MTH2419 are recommended)
Uses a calculus-based approach to probability and statistics for natural and computational sciences. Topics include descriptive statistics, probability concepts, counting, independence, conditional probability, Bayes' theorem, random variables, probability distributions, expectation, variance and covariance, univariate and multivariate distributions, joint and conditional distributions, transformations, sampling, central limit theorem, inferences and hypothesis tests, nonparametric tests, correlation, simple and multiple regression, analysis of variance and covariance, quality control, and reliability.

MTH2606 Mathematics for Elementary Teachers I (3)
Prerequisite: Math Placement Level 3 or MTH1214 or equivalent with a grade of C or higher
This is the first of two courses designed for future elementary teachers. Students review mathematical topics, deepen their knowledge of the connections between topics, and reflect on how these topics are best taught in the elementary classroom and on how they relate to the strands of the Mathematics Content Standards for California Public Schools. Topics addressed in this course include problem- solving methods, sets, functions and reasoning, numeration systems and operations with numbers, number theory, integers and fractions, decimals, and rational and irrational numbers.

MTH2607 Mathematics for Elementary Teachers II (3)
Prerequisite: MTH2606
This is the second of two courses designed for future elementary teachers. Students review mathematical topics, deepen their knowledge of the connections between topics, and reflect on how these topics are best taught in the elementary classroom and on how the topics relate to the strands of the Mathematics Content Standards for California Public Schools. Topics addressed in this course include statistics and probability concepts, geometrical figures, measurement, and motions in geometry.

MTH2994 Teaching Assistant (1-3)
Prerequisite: Permission of the instructor
Provides an opportunity for outstanding mathematics students to earn credit by assisting instructors.

MTH2999 Independent Study in Mathematics (1-4)
Prerequisite: Permission of instructor
Provides an opportunity for independent study or research under the direction of an instructor. See Undergraduate Policies and Procedures section on Independent Study.

MTH3000 Level Coursework
Graduate students may be permitted to take upper-division undergraduate courses (2000-2999) for graduate credit with prior approval of their program director. A separate syllabus will reflect the additional work required for graduate credit beyond the undergraduate course descriptions listed in the catalog. Approved courses counting towards graduate credit will be identified on student transcripts as 3000-3999.