
Mathematics
Course Descriptions

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MATH 50  PreAlgebra
Fundamental principles of mathematics designed to ease the transition from arithmetic to algebra. Concepts, computational skills, thinking skills and problemsolving skills are balanced to build proficiency in elementary topics from algebra and mastery in arithmetic.

MATH 51  Elementary Algebra
Basic algebra, equivalent to first year high school algebra. Includes operations with signed numbers and algebraic expressions; linear, quadratic, rational, and radical equations; linear inequalities of one and two variables; slope/graphing/equations of lines; introduction to functions; systems of linear equations; exponent rules; polynomial operations; scientific notation; factoring; rational expressions; variation; radicals; fractional exponents; formulas; applications.

MATH 51A  Elementary Algebra  First Half
Contains the first half of elementary algebra. Operations with signed numbers and algebraic expressions; linear equations and inequalities; exponent rules; polynomial operations; scientific notation; factoring; solving quadratic equations by factoring; rational expressions and equations; formulas; variation; applications.

MATH 51B  Elementary Algebra  Second Half
Contains the second half of Elementary Algebra. Includes: Cartesian Coordinate System, slope/graphing/equations of lines, solving systems of linear equations, algebraic operations with radicals, solving equations with radicals, solving second degree equations using methods of completing the square and the quadratic formula. Students must complete both MATH 51A and MATH 51B to have taken the equivalent of Elementary Algebra (MATH 51).

MATH 61  Plane Geometry
3 Units (Degree Applicable)Points, lines, polygons and circles; their relationships to each other on plane surfaces; congruence, similarity and area. Introduction to inductive, deductive and indirect reasoning. The formal proof is introduced and practiced throughout the course. Stress is placed on accuracy of statement as a background for analytical and scientific reasoning.

MATH 70S  Integrated Intermediate Algebra
Math 70S and 110S form a twosemester sequence that leads students through college level statistics. Simplification, solving of equations, graphing, and applications are covered. Each is applied to the following mathematical functions: polynomial, rational, radical, exponential and logarithmic. Rates and proportions, linear systems of equations, inequalities, sequence, series, design of experiments, one and twovariable descriptive statistics are also covered.

MATH 71  Intermediate Algebra
5 Units (Degree Applicable)
Lecture: 90 hours
Prerequisite: MATH 51 or MATH 51B or appropriate placementExtends concepts from elementary algebra to prepare students for collegelevel mathematics courses. Polynomial, rational, radical, exponential and logarithmic expressions are simplified, equations solved and functions graphed and studied; linear and nonlinear systems of equations and inequalities; conic sections; sequence, series and the binomial theorem 
MATH 71A  Intermediate Algebra  First Half
3 Units (Not Degree Applicable)
Lecture: 54 hours
Prerequisite: MATH 51 or MATH 51B or appropriate placementAlgebra of functions, polynomials, and rational expressions; functions and their graphs; systems of equations with two or three variables; absolute value and compound inequalities. Covers approximately half of the MATH 71 topics. A student must complete both MATH 71A and 71B to have taken the equivalent of MATH 71, Intermediate Algebra.  MATH 71B  Intermediate Algebra  Second Half

MATH 71X  Practical Intermediate Algebra
5 Units (Degree Applicable)
Lecture: 90 hours
Prerequisite: MATH 51 or MATH 51B or appropriate placement.Intermediate Algebra for the noncalculus path. Polynomial, rational, radical, exponential, and logarithmic expressions are simplified, equations solved, and realworld phenomena are modeled using leastsquares methods, functions graphed and analyzed; linear and nonlinear systems of equations and inequalities; sequences, series, and probabilities; data gathering instruments are used to sample data for curve fitting. 
MATH 96  Strategies for Math Success
1 Unit (Not Degree Applicable)
(May be taken for Pass/No Pass only)
Lecture: 18Perspectives, understandings and strategies to utilize a learning system for acquiring, understanding, remembering and producing mathematical knowledge. Course is appropriate for all levels of mathematics students. 
MATH 100  Survey of College Mathematics
3 Units (Degree Applicable, CSU, UC)
Lecture: 54 hours
Prerequisite: MATH 71 or MATH 71X or MATH 71B or appropriate placementMathematical methods and reasoning. Topics include: set theory, logic, counting methods, probability and statistics, with additional topics selected from numeration and mathematical systems, number theory, geometry, graph theory and mathematical modeling. 
MATH 110  Elementary Statistics
3 Units (Degree Applicable, CSU, UC)
Lecture: 54 hours
Prerequisite: MATH 71 or MATH 71X or MATH 71B or appropriate placementDescriptive and inferential statistics and probability with emphasis on understanding statistical methods. Descriptive analysis of sample statistics, distribution of discrete and continuous random variables, estimation theory, tests of hypotheses, regression, correlation, and analysis of variance. Course Outlines:
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MATH 110H  Elementary Statistics  Honors
3 Units (Degree Applicable, CSU, UC)
Lecture: 54 hours
Prerequisite: (MATH 71 or MATH 71X or MATH 71B or appropriate placement) AND acceptance into the Honors Program.Descriptive and inferential statistics and probability with an emphasis on understanding statistical methods. Descriptive analysis of sample statistics, distribution of discrete and continuous random variables, estimation theory, tests of hypotheses, regression, correlation, and analysis of variance. An honors course designed to provide an enriched experience. May not receive credit for MATH 110 and MATH 110H. 
MATH 110S  Integrated Statistics
MATH 110S is an elementary course in descriptive and inferential statistics. Observational and experimental studies, design of experiments, descriptive statistics, probability, discrete and continuous probability distributions, estimates, and hypothesis tests. For categorical data, inferences include one or two sample proportions, one and twoway tables (chisquare goodness of fit). For quantitative data, inferences for one or two sample means, oneway ANOVA. Inferences in linear correlation and regression are included.

MATH 120  Finite Mathematics
3 Units (Degree Applicable, CSU, UC)
Lecture: 54 hours
Prerequisite: MATH 71 or MATH 71X or MATH 71B or appropriate placementLinear programming, matrix theory, probability, statistics, stochastic processes, Markov chains, and math of finance. Applications for business, economics, and social sciences. 
MATH 130  College Algebra
4 Units (Degree Applicable, CSU, UC)
Lecture: 72 hours
Prerequisite: MATH 71 or MATH 71B or appropriate placementCollegelevel Algebra course. Study of real numbers and sets, algebraic functions and relations, radicals and exponents, linear and quadratic equalities and inequalities, exponential and logarithmic functions, systems of linear and quadratic equations, complex numbers, series, theory of equations, mathematical induction and binomial formula. 
MATH 140  Calculus for Business
4 Units (Degree Applicable, CSU, UC)
Lecture: 72 hours
Prerequisite: MATH 130 or MATH 160 or appropriate placementCalculus for business, social science, and nonscience majors. Algebraic, logarithmic, and exponential functions; limits; differentiation with applications; various techniques of integration with applications; differential equations; multi variable calculus. 
MATH 150  Trigonometry
3 Units (Degree Applicable, CSU)
Lecture: 54 hours
Prerequisite: MATH 71 or MATH 71B or appropriate placement AND MATH 61 or passing score on current geometry competency test.Trigonometric functions and inverse trigonometric functions and the graphical representations of these functions; solutions to right and oblique triangles with laws of sines and cosines; vectors; solutions to trigonometric equations; identities; polar coordinates; complex numbers and DeMoivre's Theorem. 
MATH 160  Precalculus Mathematics
4 Units (Degree Applicable, CSU, UC)
Lecture: 72 hours
Prerequisite: MATH 150 or appropriate placementPrepares students for the calculus sequence. Realvalued functions, including algebraic, trigonometric, exponential, and logarithmic functions. Also includes proofs, inequalities, introductory analytical geometry, series, sequences, and vectors. 
MATH 180  Calculus and Analytic Geometry
4 Units (Degree Applicable, CSU, UC)
Lecture: 72 hours
Prerequisite: MATH 160 or appropriate placementDifferential and integral calculus with applications. Functions, limits, the derivative, curve sketching, optimization, and rules for differentiation of algebraic, exponential, logarithmic, and trigonometric functions with their inverses, with applications. Indefinite and definite integrals. 
MATH 181  Calculus and Analytic Geometry
Differential and integral calculus with infinite series and applications. Includes applications of integration, techniques of integration, numerical integration, indeterminate forms and improper integrals, differential equations, and polar coordinates.

MATH 260  Linear Algebra
Matrices, linear systems, determinants, vector and inner product spaces, linear transforms, eigenvalues, and eigenvectors.

MATH 280  Calculus and Analytic Geometry
Multivariate and vector calculus, which includes vectors in two and three space and surfaces in space. Analysis of vectorvalued functions. Partial derivatives, differentials, the chain rule, directional derivatives, and the gradient. Extrema of functions of several variables with applications. Multiple integrals in various coordinate systems with applications. Vector fields, line integrals, and independence of path. Green's Theorem, surface integrals, flux, divergence, and curl. Stokes' Theorem and the Divergence Theorem.

MATH 285  Linear Algebra and Differential Equations
First order ordinary differential equations, with applications and numerical methods. Solutions to higher order differential equations using undetermined coefficients, variation of parameters, and power series, with applications. Solutions to linear and nonlinear systems of differential equations, including numerical solutions. Matrix algebra, solutions of linear systems of equations, and determinants. Vector spaces, linear independence, basis and dimension, subspace and inner product space, including the GramSchmidt procedure. Linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices.

MATH 290  Differential Equations
Firstorder ordinary differential equations, including separable, linear, homogeneous, Bernoulli, and exact, with applications and numerical methods. Solutions to higherorder differential equations using undetermined coefficients, variation of parameters, power series, and Laplace transforms, with applications. Solutions to linear and nonlinear systems of differential equations, including numerical solutions.

MATH 50  PreAlgebra