# Mathematics (MATH)

MATH 50  Pre-Algebra

3 Units (Not Degree Applicable)
Lecture: 54
Prerequisite: LERN 49 or appropriate placement.

Fundamental principles of mathematics designed to ease the transition from arithmetic to algebra. Concepts, computational skills, thinking skills and problem-solving skills are balanced to build proficiency in elementary topics from algebra and mastery in arithmetic.

MATH 51  Elementary Algebra

4 Units (Not Degree Applicable)
Lecture: 72
Prerequisite: MATH 50 or appropriate placement

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, and 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

3 Units (Not Degree Applicable)
Lecture: 54
Prerequisite: MATH 50 or appropriate placement

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, and applications.

MATH 51B  Elementary Algebra - Second Half

3 Units (Not Degree Applicable)
Lecture: 54
Prerequisite: MATH 51A

Contains the second half of elementary algebra. Includes: Cartesian Coordinate System, slope, graphing, and 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)
Lecture: 54
Prerequisite: MATH 51 or MATH 51B or appropriate placement

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

5 Units (Degree Applicable)
Lecture: 90
Prerequisite: MATH 50 or appropriate placement.

Math 70S and 110S form a two-semester 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 two-variable descriptive statistics are also covered.

MATH 71  Intermediate Algebra

5 Units (Degree Applicable)
Lecture: 90
Prerequisite: MATH 51 or MATH 51B or appropriate placement.

Extends concepts from elementary algebra to prepare students for college-level 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
Prerequisite: MATH 51 or MATH 51B or appropriate placement.

Algebra 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

3 Units (Degree Applicable)
Lecture: 54
Prerequisite: MATH 71A

Quadratic equations and graphs; exponents, radicals and logarithms; conic sections. Covers remaining MATH 71 topics. A student must complete both MATH 71A AND 71B to have taken the equivalent of MATH 71, Intermediate Algebra.

MATH 71X  Practical Intermediate Algebra

5 Units (Degree Applicable)
Lecture: 90
Prerequisite: MATH 51 or MATH 51B or appropriate placement

Intermediate Algebra for the non-calculus path. Polynomial, rational, radical, exponential, and logarithmic expressions are simplified, equations solved, and real-world phenomena are modeled using least-squares 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: 18

Perspectives, 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 99  Special Projects in Mathematics

2 Units (Degree Applicable, CSU)
Lecture: 36
Prerequisite: Instructor authorization

In order to offer selected students recognition for their academic interests and ability and the opportunity to explore their disciplines to greater depth, the Math Department from time to time offers special projects courses. The content of each course and the methods of study vary from semester to semester and depend on the particular project under consideration. Instructor authorization needed prior to enrollment.

MATH 100  Survey of College Mathematics

3 Units (Degree Applicable, CSU, UC)
Lecture: 54
Prerequisite: MATH 71 or MATH 71X or MATH 71B or appropriate placement

Mathematical 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, C-ID #: MATH 110)
Lecture: 54
Prerequisite: MATH 71 or MATH 71X or MATH 71B or appropriate placement

Descriptive 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.

MATH 110H  Elementary Statistics - Honors

3 Units (Degree Applicable, CSU, UC, C-ID #: MATH 110)
Lecture: 54
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.

TermCRNCourse TitleDayTimeInstructorLocation
Winter 202030534MATH:110HTWR10:30am - 1:20pmL. Wohlgezogen61-3319

MATH 110S  Integrated Statistics

5 Units (Degree Applicable, CSU, UC)
Lecture: 90
Prerequisite: MATH 70S or appropriate placement.

An elementary course in descriptive and inferential statistics designed to support students who need more time to learn in an active learning environment. 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 two-way tables (chi-square goodness of fit). For quantitative data, inferences for one or two sample means, one-way Analysis of Variance (ANOVA). Inferences in linear correlation and regression are included.

TermCRNCourse TitleDayTimeInstructorLocation
Winter 202030535MATH:110STWR12:30pm - 5:20pmS. Lancaster61-3310

MATH 120  Finite Mathematics

3 Units (Degree Applicable, CSU, UC)
Lecture: 54
Prerequisite: MATH 71 or MATH 71X or MATH 71B or appropriate placement

Linear 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
Prerequisite: MATH 71 or MATH 71B or appropriate placement

College-level 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.

TermCRNCourse TitleDayTimeInstructorLocation
Winter 202030384MATH:130MTWR7:30am - 10:20amA. Lam61-3419
Winter 202030385MATH:130MTWR7:30am - 10:20amH. Ong61-3418
Winter 202030386MATH:130MTWR10:30am - 1:20pmR. Loyd61-2410
Winter 202030387MATH:130TR10:30am - 1:20pmD. Chavez61-3406
Winter 202030388MATH:130MTWR1:30pm - 4:20pmA. Birca61-2310
Winter 202030425MATH:130MTWR4:30pm - 7:20pmA. Birca61-2310

4 Units (Degree Applicable, CSU, UC)
Lecture: 72
Prerequisite: MATH 130 or MATH 160 or appropriate placement

Calculus for business, social science, and non-science majors. Algebraic, logarithmic, and exponential functions; limits; differentiation with applications; various techniques of integration with applications; differential equations; and multivariable calculus.

TermCRNCourse TitleDayTimeInstructorLocation
Winter 202030389MATH:140MTWR12:00pm - 2:50pmH. Nguyen61-2406
Winter 202030537MATH:140MTWR4:30pm - 7:20pmNotEntered-XXXX

MATH 150  Trigonometry

3 Units (Degree Applicable, CSU)
Lecture: 54
Prerequisite: MATH 71 or MATH 71B or appropriate placement on assessment measures

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.

TermCRNCourse TitleDayTimeInstructorLocation
Winter 202030390MATH:150MTW7:30am - 10:20amT. Kojima61-2315
Winter 202030391MATH:150MTWR8:00am - 10:05amM. Summers61-2414
Winter 202030412MATH:150TWR10:30am - 1:20pmM. Arellano61-3411
Winter 202030431MATH:150TWR1:30pm - 4:20pmJ. Mc Mullin61-3410
Winter 202030540MATH:150TWR4:30pm - 7:20pmS. Homier61-3410
Winter 202031071MATH:150TWR1:30pm - 4:20pmC. Nguyen61-3319
Winter 202031229MATH:150MTWR12:30pm - 2:35pmI. Lai61-2419

MATH 160  Precalculus Mathematics

4 Units (Degree Applicable, CSU, UC)
Lecture: 72
Prerequisite: MATH 150 or appropriate placement

Prepares students for the calculus sequence. Real-valued functions, including algebraic, trigonometric, exponential, and logarithmic functions. Also includes proofs, inequalities, introductory analytical geometry, series, sequences, and vectors.

TermCRNCourse TitleDayTimeInstructorLocation
Winter 202030392MATH:160MTWR7:30am - 10:20amG. Peng61-2311
Winter 202030393MATH:160MTWR12:00pm - 2:50pmM. Case61-3315
Winter 202030394MATH:160MTW5:30pm - 9:20pmF. Tran61-2319

MATH 180  Calculus and Analytic Geometry

4 Units (Degree Applicable, CSU, UC)
Lecture: 72
Prerequisite: MATH 160 or appropriate placement

Differential 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

4 Units (Degree Applicable, CSU, UC)
Lecture: 72
Prerequisite: MATH 180

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.

TermCRNCourse TitleDayTimeInstructorLocation
Winter 202030397MATH:181TWR7:30am - 11:20amS. Lancaster61-2319
Winter 202030440MATH:181MTWR4:30pm - 7:20pmJ. Aguilar61-3411
Winter 202031498MATH:181MTWR7:40am - 8:30amT. WesBONHS-XXXX
MTWR7:40am - 8:30amT. WesBONHS-XXXX
MTWR7:40am - 8:30amT. WesBONHS-XXXX

MATH 245  A Transition to Advanced Mathematics

3 Units (Degree Applicable, CSU, UC)
Lecture: 54
Prerequisite: MATH 181

A transition to the rigors of upper-division mathematics courses. Basic set theory and logic, relations, functions, mathematical induction, the well-ordering principle, countable and uncountable sets, the Schroder-Bernstein Theorem, the axiom of choice, Zorn's Lemma, the Heine-Borel Theorem, the Bolzano-Weierstrass Theorem. Special emphasis on how to present and understand mathematical proofs.

MATH 260  Linear Algebra

3 Units (Degree Applicable, CSU, UC)
Lecture: 54
Prerequisite: MATH 181

Matrices, linear systems, determinants, vector and inner product spaces, linear transforms, eigenvalues, and eigenvectors.

TermCRNCourse TitleDayTimeInstructorLocation
Winter 202030548MATH:260MTWR2:45pm - 4:50pmH. Griffith61-2306
Winter 202031231MATH:260MTWR8:00am - 10:05amB. Rolle61-2306
Winter 202031742MATH:260MTWR10:30am - 12:35pmB. Rolle61-3410

MATH 280  Calculus and Analytic Geometry

5 Units (Degree Applicable, CSU, UC, C-ID #: MATH 230)
Lecture: 90
Prerequisite: MATH 181

Multivariate and vector calculus, which includes vectors in two and three space and surfaces in space. Analysis of vector-valued 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.

TermCRNCourse TitleDayTimeInstructorLocation
Winter 202030549MATH:280MTWR2:50pm - 6:20pmJ. Tamayo61-3415

MATH 285  Linear Algebra and Differential Equations

5 Units (Degree Applicable, CSU, UC)
Lecture: 90
Prerequisite: MATH 280

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 non-linear 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 Gram-Schmidt procedure. Linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices.

MATH 290  Differential Equations

4-4 Units (Degree Applicable, CSU, UC)
Lecture: 72
Prerequisite: MATH 280

First-order ordinary differential equations, including separable, linear, homogeneous, Bernoulli, and exact, with applications and numerical methods. Solutions to higher-order differential equations using undetermined coefficients, variation of parameters, power series, and Laplace transforms, with applications. Solutions to linear and non-linear systems of differential equations, including numerical solutions.

TermCRNCourse TitleDayTimeInstructorLocation
Winter 202030426MATH:290MTWR7:30am - 10:20amB. Nguyen61-2302
Winter 202030550MATH:290MTWR10:30am - 1:20pmJ. Tamayo61-2311
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