MATH 110 (3) Critical Thinking Critical thinking in decision-making. Formal and informal fallacies of language and thought; the often unreliable guide of common-sense reasoning; analysis and criticism of ideas; distinction between fact and judgment, belief and knowledge; inductive and deductive arguments, effective techniques of decision-making. Students will learn critical thinking skills to apply to common issues of everyday life.
MATH 115 (3) College Algebra Equations and inequalities, functions, graphs, polynomials, exponential and logarithmic functions, conics, sequences and series, counting principles, binomial theorem, and systems of linear equations. Students preparing to take MATH 160 should take MATH 125 instead of this course. May not be taken for credit by students who have received credit for MATH 120. Prerequisite: Completion of the Entry-Level Mathematics (ELM) requirement.
MATH 125 (4) Pre-Calculus Designed for students preparing to take MATH 160. Equations and inequalities, functions, graphs, polynomial and rational functions, trigonometric functions, exponential and logarithmic functions, systems of linear equations, conics, sequences and series, and the binomial theorem. May not be taken for credit by students who have received credit for MATH 115. Prerequisite: Completion of the Entry-Level Mathematics (ELM) requirement.
MATH 132 (3) Survey of Calculus Basic calculus concepts with applications to business, economics, and the social sciences. Differential calculus for algebraic, exponential, and logarithmic functions; optimization, linearization, and other applications of derivatives; introduction to integral calculus. Includes use of graphing calculators. Prerequisite: MATH 115 or equivalent with a grade of C (2.0) or better.
MATH 160 (5) Calculus with Applications, I Differential and integral calculus of functions of one variable: analytic geometry, limits, continuity, derivatives, analysis of curves, integrals, applications; algebraic, trigonometric, logarithmic, and exponential functions, historical perspectives. Includes a laboratory experience using either computers or graphics calculators. Prerequisite: A strong background in high school mathematics (Algebra I and II, Geometry, and Trigonometry) or MATH 125 with a grade of C (2.0) or better.
MATH 162 (4) Calculus with Applications, II A continuation of differential and integral calculus: inverse trigonometric and hyperbolic functions, integration methods, indeterminate forms, coordinate systems, planes and lines in space, sequences and series, applications, historical perspectives. Includes a laboratory experience using either computers or graphics calculators. Prerequisite: MATH 160 (or equivalent) with a grade of C or better.
MATH 210 (3) Math for K-8 Teachers, I (3) Designed to reinforce mathematical concepts for those teaching in grades K-8. Emphasis on numeric concepts: sets, logic, counting numbers, integers, rational numbers, real numbers, some number theory, measurement and estimation, appropriate use of technology; historical/cultural perspectives. Credit may not be counted toward the mathematics major. Prerequisite: Completion of the Entry-Level Mathematics (ELM) requirement.
MATH 212 (3) Mathematics for K-8 Teachers II: Geometry, Measurement, and Reasoning Designed to reinforce mathematical concepts for those teaching in grades K-8. Emphasis on patterns and functional relationships; geometric concepts in two- and three-dimensional space: points, lines, planes, curves, triangles, convex figures, parallelism, congruence, similarity, symmetry, perimeter, area, volume; problem-solving strategies; appropriate use of technology; historical/cultural perspectives. Credit may not be counted toward the mathematics major. Credit may not be counted toward the mathematics major. Prerequisite: MATH 210 with a grade of C (2.0) or better.
MATH 242 (3) Introduction to Statistics Types of data, measures of central tendency and variation, visualizing data, counting principles, standard random variables, probability, conditional probability, standard discrete probability distributions, normal probability distribution, tests for normality, sampling distribution, central limit theorem, hypothesis tests for means and proportions, correlation and regression. May include computer software such as Excel, Minitab, or courseware. Credit may not be counted toward the mathematical sciences major. Prerequisite: MATH 115.
MATH 260 (4) Calculus with Applications, III Differential and integral calculus of functions of several variables: three dimensional analytic geometry, vector calculus, partial derivatives, multiple integrals, line integrals, applications, historical perspectives. Includes a computer laboratory experience. Prerequisite: MATH 162 (or equivalent) with a grade of C or better.
MATH 262 (3) Introduction to Differential Equations Models involving first-order equations, higher-order linear equations, systems of equations, numerical methods and applications. Combines theoretical ideas with hands-on experience using appropriate computer software packages. Prerequisite: MATH 162 with a grade of C (2.0) or better. This course is not currently offered at Cal State San Marcos. It is listed only for transfer credit and course equivalency purposes.
MATH 264 (3) Introduction to Linear Algebra Matrix algebra, systems of linear equations, vector spaces, independence, linear transformations, eigenvalues and eigenvectors, applications. Prerequisite: MATH 115. This course is not currently offered at Cal State San Marcos. It is listed only for transfer-credit and course equivalency purposes.
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