52 SPRING 2021 925.424.1000 |
[email protected] SPRING 2021 - COURSE LISTINGS Please refer to the online schedule to access course section details and the course record numbers (CRNs) for registration. using Gaussian elimination and matrix algebra; properties of vectors in n-dimensions; generalized vector spaces, inner product spaces, basis, norms, orthogonality; eigenvalues, eigenspaces; and linear transformations. Selected applications of linear algebra, including the use of MATLAB to solve problems involving advanced numerical computation. Prerequisite: MATH 2 with a minimum grade of C MATH 10 DISCRETE MATHEMATICS 4.0 Units Designed for majors in mathematics and computer science, this course provides an introduction to discrete mathematical structures used in Computer Science and their applications. Course content includes: Propositional and predicate logic; rules of inference; quantifiers; elements of integer number theory; set theory; methods of proof; induction; combinatorics and discrete probability; functions and relations; recursive definitions and recurrence relations; elements of graph theory and trees. Applications include: analysis of algorithms, Boolean algebras and digital logic circuits. Students who have completed, or are enrolled in, CS 17 may not receive credit. Prerequisite: MATH 1 and CS 1 with a minimum grade of C (May be taken concurrently) MATH 30 COLLEGE ALGEBRA FOR STEM 4.0 Units College algebra core concepts relating to Science, Technology, Engineering and Mathematics (STEM) and Business fields are explored, such as: polynomial, rational, radical, exponential, absolute value, and logarithmic functions; systems of equations; theory of polynomial equations; and analytic geometry. Multiple representations, applications and modeling with functions are emphasized throughout. May not receive credit if Mathematics 20 or 45 have been completed. Prerequisite: MATH 55 or MATH 55B or NMAT 255 with a minimum grade of C MATH 33 FINITE MATHEMATICS 4.0 Units Linear functions, systems of linear equations and inequalities, exponential and logarithmic functions and applications, matrices, linear programming, mathematics of finance, sets and Venn diagrams, combinatorial techniques and an introduction to probability. Applications in business, economics and social sciences. Prerequisite: MATH 50 or MATH 55 or MATH 55B with a minimum grade of C MATH 34 CALC FOR BUS AND SOC SCIENCES 5.0 Units Functions and their graphs; limits of functions; differential and integral calculus of algebraic, exponential and logarithmic functions. Applications in business, economics, and social sciences and use of graphing calculators. Partial derivatives and the method of Lagrange multipliers. Prerequisite: MATH 55 or MATH 55B with a minimum grade of C MATH 39 TRIGONOMETRY 4.0 Units Trigonometry includes definitions of the trigonometric functions and their inverses, graphs of the trigonometric functions and their inverses, trigonometric equations, trigonometric expressions and identities, including proofs, an introduction to vectors, polar coordinates and complex numbers. Applications include solving right triangles and solving triangles using the law of sines and the law of cosines. Prerequisite: MATH 55 or MATH 55B with a minimum grade of C. MATH 40 STATISTICS AND PROBABILITY 4.0 Units Descriptive statistics, including measures of central tendency, dispersion and position; elements of probability; confidence intervals; hypothesis tests; two-population comparisons; correlation and regression; goodness of fit; analysis of variance; applications in various fields. Introduction to the use of a computer software package to complete both descriptive and inferential statistics problems. Prerequisites: Math 50 or Math 55 or Math 55B with a minimum grade of C MATH 47 MATHEMATICS FOR LIBERAL ARTS 3.0 Units An introduction to a variety of mathematical concepts for students interested in liberal arts. Intended to cultivate an appreciation of the significance of mathematics in daily life and help develop students’ mathematical reasoning. Topics include personal finance, probability and statistics, logic, exponential growth, and graph theory. Prerequisite: MATH 55 or MATH 55B or MATH 50 with a minimum grade of C MATH 50 INTERMEDIATE ALGEBRA FOR SLAM 4.0 Units This is an Intermediate Algebra course for students interested in fields of study that require Statistics or Liberal Arts Mathematics (SLAM). Intermediate algebra concepts will be explored in the context of the function. Function concepts covered include: distinction between functions and relations, domain and range, function notation, multiple representation of functions, behavior of functions, operations with functions (including composition), one-to-one and invertible functions. Types of functions considered: polynomial, rational, radical, exponential and logarithmic functions. The course quantitative data. Standards for mathematical practice, applications of functions, and modeling with functions are emphasized throughout. Strongly Recommended: MATH 110 or MATH 110B or NMAT 210 with a minimum grade of C ALL CONCURRENT SUPPORT COURSES These STRONGLY RECOMMENDED 1-unit lab courses are aligned with your math course and designed with innovative strategies to provide math and learning support while taking a math course. Whether your math class is foundational or transfer level, the concurrent support provides assistance in understanding the content in your current math course while learning essential study skills necessary to succeed in college courses. These classes are offered for credit or tuition-free (noncredit), with the exception of MATH 66C, 67C, and 68C. MATH 66C SUPPORT FOR CALCULUS I 1.0 Units This course offers structured support to students who are concurrently enrolled in Calculus I. The support course includes material to prepare students for the rigor of the calculus course by teaching learning skills necessary to succeed in college courses as well as review of relevant prerequisite algebraic, geometric and trigonometric concepts, and more in-depth investigation of core concepts in their concurrent math course.