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SMC|Academic Programs|Mathematics|Course Descriptions

Course Descriptions

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 and Services.  Before selecting any courses, please see a counselor for assistance in planning your program.   

 

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 7: Calculus 1

5 units with prerequisite of Math 2
This course is intended for computer science, engineering, mathematics and natural science majors. Topics in this first course in calculus 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

5 units with prerequisite of Math 7
A second course in calculus.  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

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

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

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
 
 

Math18: 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
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 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

5 units with prerequisite of Math 26
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:  Beginning 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 co-requisite of Math 20
Advisory:  Math 20
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 54:  Elementary Statistics

4 units with prerequisite of Math 18 or Math 20
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; decisions 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