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Course Descriptions and Course Outlines of Record

The transfer column below provides information on how community college transfer students may use a course to fulfill lower-division general education requirements; how an individual class transfers for major preparation can be found at Transfer Center. Before selecting any courses, please see a counselor for assistance in planning your program.

Course Outlines of Record (COR) contain the uniform standards applied to all sections of a given course upon which each student will be evaluated in the process of receiving a formal grade. All course outlines of record for Santa Monica College are stored on Curriucnet; one can search by course without a username and password.

## Math 2: Precalculus

**5 units with prerequisite of Math 32 and Math 20**

An intensive preparation for calculus. This course is intended for computer science, engineering, mathematics and natural science majors. Topics include algebraic, exponential, logarithmic and trigonometric functions and their inverses and identities, conic sections, sequences, series, the binomial theorem and mathematical induction.

*Transfer Credit: CSU; UC* credit limitations. See counselor*

Math 3: Trigonometry with Applications

This course is intended for students majoring in Science, Technology, Engineering, or Mathematics (STEM). Math 3 in combination with Math 4 (College Algebra for STEM Majors) serves as a prerequisite for Math 7 (Calculus 1). The course includes a study of the properties and graphs of trigonometric and inverse trigonometric functions, trigonometric identities, solutions of triangles, trigonometric equations, parametric equations, polar coordinates and polar equations, the algebra of vectors in two and three dimensions and topics from analytic geometry and applications.

*Transfer Credit: CSU*

MATH 4: College Algebra for STEM Majors

This course is intended for students majoring in Science, Technology, Engineering, or Mathematics (STEM). Math 4 in combination with Math 3 (Trigonometry with applications) serves as a prerequisite for Math 7 (Calculus 1). The topics to be covered include review of the fundamentals of algebra, relations, functions, solutions of first and second degree equations and inequalities, systems of equations, matrices, binomial theorem, mathematical induction, polynomial and rational functions, exponential and logarithmic functions, analytic geometry and conic sections, and geometric and arithmetic sequences and series.

*Transfer Credit: CSU; **Pending UC and IGETC/CSUGE*

## Math 7: Calculus 1 (CID 211)

**5 units with prerequisite of Math 2**

This first course in calculus is intended primarily for science, technology, engineering, mathematics majors. Topics include limits, continuity, and derivatives and integrals of algebraic and trigonometric functions, with mathematical and physical applications.

*Transfer Credit: CSU; UC*

## Math 8: Calculus 2 (CID 221)

**5 units with prerequisite of Math 7**

This second course in calculus is intended primarily for science, technology, engineering, and mathematics majors. Topics include derivatives and integrals of transcendental functions with mathematical and physical applications, indeterminate forms and improper integrals, infinite sequences and series, and curves, including conic sections, described by parametric equations and polar coordinates.

*Transfer Credit: CSU; UC*

## Math 10: Discrete Structures

**3 units with prerequisite of Math 7**

This course is intended for computer science, engineering, and mathematics majors. Topics include proof techniques, cardinality of sets, partial orderings and equivalence relations, symbolic logic and valid arguments, permutations and combinations with repetition, and an introduction to graph theory.

*Transfer Credit: CSU; UC*

## Math 11: Multivariable Calculus (CID 230)

**5 units with prerequisite of Math 8**

Topics include vectors and analytic geometry in two and three dimensions, vector functions with applications, partial derivatives, extrema, Lagrange Multipliers, multiple integrals with applications, vector fields. Green's Theorem, the Divergence Theorem, and Stokes' Theorem

*Transfer Credit: CSU; UC*

## Math 13: Linear Algebra (CID 250)

**3 units with prerequisite of Math 8**

Skills Advisory: Eligibility for English 1

Topics include matrices and linear transformations, abstract vector spaces and subspaces, linear independence and bases, determinants, systems of linear equations, eigenvalues and eigenvectors.

*Transfer Credit: CSU; UC*

## Math 15: Ordinary Differential Equations (CID 240)

**3 units with prerequisite of Math 8**

This course is an introduction to ordinary differential equations. Topics include first order equations, linear equations, reduction of order, variation of parameters, spring motion and other applications, Cauchy-Euler equations, power series solutions, Laplace transform, and systems of linear differential equations.

*Transfer Credit: CSU; UC*

## Math 18: Intermediate Algebra for Statistics and Finite Mathematics

**3 units with prerequisite of Math 31**

Topics include linear, quadratic, exponential and logarithmic functions and equations; systems of linear equations and inequalities; sequences and series. The emphasis is on setting up and solving applications of the algebraic material.

## Math 20: Intermediate Algebra

**5 units with prerequisite of Math 31 or Math 49**

Topics include rational, irrational and complex numbers; fundamental operations on algebraic expressions and functions; introduction to polynomial, rational, exponential and logarithmic functions, equations and graphs; circles and parabolas; matrix row reduction. Emphasis is on advanced algebraic factoring and simplification.

## Math 21: Finite Mathematics

**3 units with prerequisite of Math 18, Math 20 or Math 49**

This is a terminal mathematics course for liberal arts and social science majors. Topics include sets and counting, probability, linear systems, linear programming, statistics, and mathematics of finance, with emphasis on applications.

## Math 26: Functions and Modeling for Business and Social Science

**3 units with prerequisite of Math 20**

This course is a preparatory course for students anticipating enrollment in Math 28 (Calculus I for Business and Social Science). It is not recommended as a terminal course to satisfy transfer requirements. Topics include algebraic, exponential and logarithmic functions and their graphical representations, and using these functions to model applications in business and social science.

*Transfer Credit: CSU; UC* credit limitations. See counselor*

## Math 28: Calculus 1 for Business and Social Science (CID 140)

**5 units with prerequisite of Math 20 **

This course is intended for students majoring in business or social sciences. It is a survey of differential and integral calculus with business and social science applications. Topics include limits, differential calculus of one variable, including exponential and logarithmic functions, introduction to integral calculus, and mathematics of finance.?

*Transfer Credit: CSU; UC*

## Math 29: Calculus 2 for Business and Social Science

**3 units with prerequisite of Math 28**

Topics include techniques and applications of integration, improper integrals, functions of several variables, partial derivatives, method of least squares, maxima and minima of functions of several variables with and without constraints, method of LaGrange Multipliers, double integrals and their application, elementary differential equations with applications, probability and calculus.?

*Transfer Credit: CSU; UC*

## Math 31: Elementary Algebra

**5 units with prerequisite of Math 84 or Math 85**

Topics include: Arithmetic operations with real numbers, polynomials, rational expressions, and radicals; factoring polynomials; linear equations and inequalities in one and two variables; systems of linear equations and inequalities in two variables; application problems; equations with rational expressions; equations with radicals; introduction to quadratic equations in one variable.

Students enrolled in this course are required to spend 16 documented supplemental learning hours outside of class during the session. This can be accomplished in the Math Lab on the main campus, in AET 240, or electronically (purchase of an access code required).

## Math 32: Plane Geometry

**3 units with prerequisite of Math 31 or Math 49**

Advisory: Math 20 may be taken as a corequisite

This is an introductory course in geometry whose goal is to increase student’s mathematical maturity and reasoning skills. Topics include elementary logical reasoning, properties of geometric figures, congruence, similarity, and right triangle relationships using trigonometric properties. Formal proof is introduced and used within the course.

## Math 41: Mathematics for Elementary School Teachers

** 3 units with prerequisite of Math 20**

This course is designed for pre-service elementary school teachers. The course will examine five content areas: Numeration (historical development of numeration system); Set Theory (descriptions of sets, operations of sets, Venn Diagrams); Number Theory (divisibility, primes and composites, greatest common divisor, least common multiple); Properties of Numbers (whole numbers, integers, rational numbers and models for teaching binary operations); and Problem Solving (strategies, models to solve problems, inductive and deductive reasoning).

*Transfer Credit: CSU*

## Math 49: Beginning and Intermediate Algebra for Statistics and Finite Mathematics

**6 units with prerequisite of Math 84 or Math 85**

This is an accelerated course covering the topics of Beginning and Intermediate Algebra. Specific topics include arithmetic operations with real numbers, change of units and percents, polynomials, rational expressions, and radicals; linear equations and inequalities; systems of linear equations and inequalities; application problems; equations with rational expressions; equations with radicals; linear, quadratic, exponential and logarithmic functions and equations; factoring; drawing and interpreting graphs; sequences and series. The emphasis is on setting up and solving applications of the algebraic material.

## Math 50: Pre-Statistics

**5 units with a prerequisite of Math 84 or Math 85**

**Note: Starting in Fall 2018 Math 50 will not have a prerequisite, all students will be allowed to enrolled in Math 50.**

This course introduces algebra topics and the basic elements of exploratory data analysis needed for Elementary Statistics (Math 54) and Finite Mathematics (Math 21). Course topics include formulas and algebraic expressions, linear equations and inequalities in one variable, analyzing and producing data, sample statistics and graphs, functions, systems of linear equations, and probability. Course Comment: Math 50 is designed for students who are only required to complete Elementary Statistics (Math 54) or Finite Mathematics (Math 21). Students who plan to take a non-math course which lists math 20 or math 31 as a pre-requisite should take those courses unless otherwise advised by the department offering the non-math course. This course is not intended as a preparation for precalculus or calculus. Students planning to take precalculus (Math 2) must complete Intermediate Algebra (Math 20).

## Math 54: Elementary Statistics (CID 110)

**4 units with prerequisite of Math 18 or Math 20 or Math 49 or Math 50**

This course covers concepts and procedures of descriptive statistics, elementary probability theory and inferential statistics. Course content includes: summarizing data; computation and interpretation of descriptive statistics; classical probability theory; probability distributions; binomial, normal, T, Chi-square and F distributions; making inferences; decisio ns and predictions. This course develops, analyzes, and interprets confidence intervals for population parameters, hypothesis testing for both one and two populations, correlation and regression, ANOVA, and test for independence. This course develops statistical thinking through the study of applications in variety of disciplines. The use of a statistical/graphing calculator and/or statistical analysis software (Stat Crunch, Excel) is integrated into the course.

*Transfer Credit: CSU; UC*

## Math 81: Basic Arithmetic

**3 units with NO prerequisite**

The aim of this course is to develop number and operation sense with regard to whole numbers, fractions, decimals and percents; as well as measurement and problem solving skills. Course content also includes ratios, proportions, and practical applications of the arithmetic material.

Students enrolled in this course are required to spend 16 documented supplemental learning hours outside of class during the session. This can be accomplished in the Math Lab on the main campus, in AET 240, or electronically (purchase of an access code required).

## Math 84: Pre-Algebra

**3 units with prerequisite of Math 81**

This course prepares the student for Elementary Algebra. It assumes a thorough knowledge of arithmetic. Course content includes integers, signed fractions, signed decimals, grouping symbols, the order of operations, exponents, and algebraic expressions and formulas. The emphasis is on concepts essential for success in algebra.

Students enrolled in this course are required to spend 16 documented supplemental learning hours outside of class during the session. This can be accomplished in the Math Lab on the main campus, in AET 240, or electronically (purchase of an access code required).

## Math 85: Arithmetic and Prealgebra

**5 units with NO prerequisite**

This course offers an accelerated option for preparation for Elementary Algebra. The material covered is equivalent to that covered separately in Math 81 (Basic Arithmetic) and Math 84 (Prealgebra). This course develops number and operation sense with regard to whole numbers, integers, rational numbers, mixed numbers, and decimals. Grouping symbols, order of operations, estimation and approximation, scientific notation, ratios, percents, proportions, geometric figures, and units of measurement with conversions are included. An introduction to algebraic topics, including simple linear equations, algebraic expressions and formulas, and practical applications of the material also are covered. All topics will be covered without the use of a calculating device. (This course is fast-paced and intensive.)

*Maximum UC credit for Math 2, 22 and 26 is one course