# Mathematics (MATH)

MATH A0053 Units (54 lecture hours)
Practical Math

Grading Mode: Standard Letter, Pass/No Pass

Practical math involves the fundamental operations of arithmetic on integers, fractions, decimals and percents (without calculators), and consumer applications. The course includes introductions to ratio and proportion, measurement, geometry, and statistics. Applied problems will be emphasized throughout the course. May be taken for grades or on a pass-no pass basis. Not applicable to AA/AS degree.

### Catalog Program Pages Referencing MATH A005

MATH A0083 Units (54 lecture hours)
Pre-Algebra
Prerequisite(s): MATH A005 or appropriate placement.

Grading Mode: Standard Letter, Pass/No Pass

Pre-algebra will introduce basic operations of algebra including signed numbers, exponents, first degree equations, special products, applied problems, factoring, rational expressions, radicals, proportions, and the rectangular coordinate system. These topics will utilize the student's working knowledge of decimals, fractions, and percents. May be taken for grades or on a pass-no pass basis. Not applicable to AA/AS degree.

### Catalog Program Pages Referencing MATH A008

MATH A0104 Units (72 lecture hours)
Elementary Algebra
Prerequisite(s): MATH A008 or appropriate placement.

Grading Mode: Standard Letter, Pass/No Pass

Operations of algebra including first degree equations and inequalities, exponents, special products and factoring, rational expressions, graphing, radicals, systems of linear equations and quadratic equations will be presented. A minimum of five arranged hours of supplemental learning per semester in the Success Center is suggested. This course may also be offered online. Not applicable to AA/AS degree.

### Catalog Program Pages Referencing MATH A010

MATH A0203 Units (54 lecture hours)
Plane Geometry
Prerequisite(s): MATH A010 or appropriate placement.

Grading Mode: Standard Letter, Pass/No Pass

Definition of basic geometry terms: point, line, plane, angle. Postulates and theorems involving angles, congruence, lines, circles, general polygons, triangles, inequalities, and solid geometry will be covered. May be taken for grades or on a pass-no pass basis. Not applicable to AA/AS degree.

### Catalog Program Pages Referencing MATH A020

MATH A0304 Units (72 lecture hours)
Intermediate Algebra
Prerequisite(s): MATH A010 or appropriate placement.

Grading Mode: Standard Letter, Pass/No Pass

Topics covered will be functions, linear and quadratic equations, curve sketching, exponents, rational expressions, rational exponents, logarithms, variations, systems of equations, determinants, Cramer's Rule, and conic sections. A minimum of five arranged hours of supplemental learning per semester in the Success Center is suggested.

### Catalog Program Pages Referencing MATH A030

MATH A0456 Units (108 lecture hours)
Combined Elementary and Intermediate Algebra
Prerequisite(s): MATH A008 or appropriate placement.

Grading Mode: Standard Letter, Pass/No Pass

This course includes all the topics that are studied in elementary algebra and intermediate algebra. Thus starting at the elementary level, each topic is cover up to the level of intermediate algebra. Topics include, introduction and advance operations with algebraic expressions, linear graphing and factoring. Functions, linear and quadratic equations, curve sketching, exponents, rational expressions, rational exponents, logarithms, variations, systems of equations, and conic sections. A minimum of five arranged hours of supplemental learning per semester in the Success Center is suggested. May be taken for grades or on a pass/no-pass basis.

### Catalog Program Pages Referencing MATH A045

MATH A0902 Units (36 lecture hours)
Support for Liberal Arts Mathematics
Co-requisite(s): MATH A100.

A concurrent support course for MATH A100, Liberal Arts Mathematics, designed to review prerequisite skills necessary for success. Topics include operations with real numbers; conversion between decimals, percents and fractions; selected algebraic topics essential to Liberal Arts Mathematics; the graph of a line; and problem-solving strategies.

### Catalog Program Pages Referencing MATH A090

MATH A0912 Units (36 lecture hours)
Support for College Algebra
Co-requisite(s): MATH A115.

A concurrent support course for MATH A115, College Algebra, designed to review prerequisite skills necessary for success. Topics include operations with real numbers, an introduction to polynomial, operations with rational and radical expressions, an introduction to polynomials, and solutions to linear equations and inequalities.

### Catalog Program Pages Referencing MATH A091

MATH A0922 Units (36 lecture hours)
Support for Trigonometry
Co-requisite(s): MATH A120.

A concurrent support course designed to review prerequisite topics necessary for success in MATH A120, Trigonometry, covering operations with real numbers, relations and functions, systems of linear equations, factoring, rational expressions, quadratic equations, conic sections, and basic geometry.

### Catalog Program Pages Referencing MATH A092

MATH A0962 Units (36 lecture hours)
Support for Introduction to Statistics
Co-requisite(s): MATH A160.

A concurrent support course for MATH A160, Introduction to Statistics, designed to review prerequisite skills necessary for success. Topics include operations with real numbers; percents, ratios and proportions; selected algebraic topics essential to statistics; the graph of a line; and problem-solving strategies.

### Catalog Program Pages Referencing MATH A096

MATH A1003 Units (54 lecture hours)
Liberal Arts Mathematics
Prerequisite(s): MATH A030 or higher or appropriate placement.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU, UC.

Designed for students whose majors do not require calculus, this applications-oriented course emphasizes management science optimization techniques, introductory descriptive and inferential statistics, weighted voting systems analysis, game theory principles, decision-making strategies, growth trends, and pattern analysis. May be taken for grades or on a pass-no pass basis.

### Catalog Program Pages Referencing MATH A100

MATH A1043 Units (54 lecture hours)
Mathematics for Elementary Teachers
Prerequisite(s): MATH A030 or higher or appropriate placement.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

Designed for prospective elementary school teachers, the course emphasizes mathematical structure and problem solving techniques associated with the real number system, elementary number theory, ratio and proportion, set theory, elementary logic, and percent. Instructional delivery design techniques and technological applications will be explored.

### Catalog Program Pages Referencing MATH A104

MATH A1154 Units (72 lecture hours)
College Algebra
Prerequisite(s): MATH A030 or higher or appropriate placement.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

Topics include linear, quadratic, rational, logarithmic, and exponential functions and their graphs, systems of equations, matrices, sequences, series, and basic combinations. This course prepares students to enter MATH A140 but does not provide sufficient preparation to enter MATH A180. This course may also be offered online. May be taken for grades or on a pass-no pass basis.

### Catalog Program Pages Referencing MATH A115

MATH A1203 Units (54 lecture hours)
Trigonometry
Prerequisite(s): MATH A030 or higher or appropriate placement.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU.

Topics covered will be trigonometric (circular) and inverse trigonometric functions, graphs of trigonometric functions, identities and conditional equations, solutions for triangles, vectors, complex numbers and applications. May be taken for grades or on a pass-no pass basis. C-ID: MATH 851.

### Catalog Program Pages Referencing MATH A120

MATH A1404 Units (90 lecture hours)
Prerequisite(s): MATH A115, MATH A155, or MATH A170 or appropriate placement.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

Analytic geometry and limits; introduction to differential and integral calculus with applications to include polynomial, rational, exponential and logarithmic functions and their graphs. Multivariate calculus to include partial differentiation, multiple integration. Introduction to the calculus of probability with applications. May be taken for grades or on a pass-no pass basis.

### Catalog Program Pages Referencing MATH A140

MATH A1554 Units (72 lecture hours)
Finite Mathematics with Applications
Prerequisite(s): MATH A030 or higher or appropriate placement.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

Mathematical models, properties of sets, functions, elementary curve fitting, finance, matrix operations, linear programming by the graphic and simplex methods, Markov matrices, elementary probability, and game theory. May be taken for grades or on a pass-no pass basis.

### Catalog Program Pages Referencing MATH A155

MATH A1604 Units (72 lecture hours)
Introduction to Statistics
Prerequisite(s): MATH A030 or higher or appropriate placement.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

A general education course covering descriptive statistics, probability, binomial and normal distributions, variation, linear regression, correlation and hypothesis testing. Applications taken from natural sciences, social sciences, business, and everyday life. Students completing MATH A160 may petition for credit for PSYC A160. May be taken for grades or on a pass-no pass basis. This course may also be offered online. Lecture. C-ID: MATH 110.

### Catalog Program Pages Referencing MATH A160

MATH A1704 Units (90 lecture hours)
Precalculus
Prerequisite(s): MATH A070 or MATH A120 or appropriate placement.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

The course includes structure and properties of number systems; applications, solution and graphs of polynomials, rational, exponential, logarithmic and trigonometric functions; matrices; sequences and series; analytic geometry. Prepares students for MATH A180. May be taken for grades or on a pass-no pass basis. This course may also be offered online.

### Catalog Program Pages Referencing MATH A170

MATH A1804 Units (90 lecture hours)
Calculus 1
Prerequisite(s): MATH A170 or appropriate placement.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

This is the first course in the calculus sequence. It satisfies the sequence for majors in mathematics, science, or engineering. Topics include limits, derivatives of algebraic and transcendental functions, applications of derivatives, indefinite integrals, definite integrals, the Fundamental Theorem of Calculus, and applications of integration. May be taken for grades or on a pass-no pass basis. C-ID: MATH 210.

### Catalog Program Pages Referencing MATH A180

MATH A180H4 Units (90 lecture hours)
Calculus 1 Honors
Prerequisite(s): MATH A170 or appropriate placement.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

This is the first course in the calculus sequence. It satisfies the sequence for majors in mathematics, science, or engineering. Topics include limits, derivatives of algebraic and transcendental functions, applications of derivatives, indefinite integrals, definite integrals, the Fundamental Theorem of Calculus, and applications of integration. May be taken for grades or on a pass-no pass basis. C-ID: MATH 210.

### Catalog Program Pages Referencing MATH A180H

MATH A182H5 Units (90 lecture hours)
Calculus 1 and 2 Honors
Prerequisite(s): MATH A140, MATH A180, MATH A180H or AP Calculus AB score of 3 or higher.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

An in-depth honors level study of elementary differential and integral calculus which includes exponential, logarithmic, and trigonometric functions, techniques of integrations, sequences and series, and applications. Combines content of MATH A180 and MATH A185 with emphasis on theory and challenging problems in a fast-paced course for well-prepared students with previous calculus experience. May be taken for grades or on a pass-no pass basis.

### Catalog Program Pages Referencing MATH A182H

MATH A1854 Units (90 lecture hours)
Calculus 2
Prerequisite(s): MATH A180, MATH A180H or MATH A182H.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

This is the second course in the calculus sequence. It satisfies the sequence for majors in mathematics, science, or engineering. Topics include techniques and some applications of integration, calculus applied to parametric curves and polar curves, analytic geometry, sequences, series, and an introduction to differential equations. May be taken for grades or on a pass-no pass basis. C-ID: MATH 220.

### Catalog Program Pages Referencing MATH A185

MATH A185H4 Units (90 lecture hours)
Calculus 2 Honors
Prerequisite(s): MATH A180, MATH A180H or MATH A182H.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

This is the second course in the calculus sequence. It satisfies the sequence for majors in mathematics, science, or engineering. Topics include techniques and some applications of integration, calculus applied to parametric curves and polar curves, analytic geometry, sequences, series, and an introduction to differential equations. May be taken for grades or on a pass-no pass basis.

### Catalog Program Pages Referencing MATH A185H

MATH A2203 Units (54 lecture hours)
Introduction to Symbolic Logic

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

Students learn to translate simple, quantified, and multiply-quantified English sentences into symbolic form in both sentence logic and predicate logic with quantifiers. Truth tables are used to both classify and compare symbolic sentence's properties. Proof techniques for determining validity or invalidity of arguments containing simple sentences, compound sentences, and sentences containing quantifiers in sentence and predicate logic systems are learned including truth tables, truth trees, and natural deduction style proofs with inference, replacement and quantifier rules. Same as Math A220. Students completing Philosophy A220 may not receive credit for Math A220. May be taken for grades or on a pass-no pass basis.

### Catalog Program Pages Referencing MATH A220

MATH A2305 Units (90 lecture hours)
Introduction to Discrete Mathematics
Prerequisite(s): MATH A185, MATH A185H or MATH A182H.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

Introduction to logic, sets, relations, algorithms, number theory, combinatorics, graphs, trees, and Boolean algebra. May be taken for grades or on a pass-no pass basis.

### Catalog Program Pages Referencing MATH A230

MATH A2353 Units (54 lecture hours)
Applied Linear Algebra
Prerequisite(s): MATH A185, MATH A185H or MATH A182H.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

Introduction to linear algebra, classical linear algebra problems, and applications to computer science and related technologies including matrices, determinants, linear spaces, linear transformations, and eigenvalues. May be taken for grades or on a pass-no pass basis.

### Catalog Program Pages Referencing MATH A235

MATH A2804 Units (90 lecture hours)
Calculus 3
Prerequisite(s): MATH A185, MATH A185H or MATH A182H.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

Multivariable calculus including vectors, vector-valued functions, functions of several variables, partial derivatives, multiple integrals, calculus of vector fields, Green’s Theorem, Stokes’ Theorem, and the Divergence Theorem. May be taken for grades or on a pass-no pass basis.

### Catalog Program Pages Referencing MATH A280

MATH A280H5 Units (108 lecture hours)
Calculus 3 Honors
Prerequisite(s): MATH A185, MATH A185H or MATH A182H.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

MATH A280 in a regular section with an additional one hour per week of honors material. Multivariable calculus including vectors, vector-valued functions, functions of several variables, partial derivatives, multiple integrals, calculus of vector fields, Green's Theorem, Stokes' Theorem, and the Divergence Theorem. Selected introductory topics in differential geometry will be discussed in the honors-specific portion of this course. May be taken for grades or on a pass-no pass basis.

### Catalog Program Pages Referencing MATH A280H

MATH A2854 Units (90 lecture hours)
Introduction to Linear Algebra and Differential Equations
Prerequisite(s): MATH A185, MATH A185H or MATH A182H.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

Introduction to linear algebra and differential equations. Topics include matrices, determinants, vector spaces, linear systems of equations, inner product spaces, first and second order differential equations, systems of differential equations, and Laplace transforms. May be taken for grades or on a pass-no pass basis.

### Catalog Program Pages Referencing MATH A285

MATH A285H5 Units (108 lecture hours)
Introduction to Linear Algebra and Differential Equations Honors
Prerequisite(s): MATH A185, MATH A185H or MATH A182H.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

Introduction to linear algebra and differential equations. Topics include matrices, determinants, vector spaces, linear systems of equations, linear product spaces, first and second order differential equations, systems of differential equations, and Laplace transforms. Additional honors topics include Jacobian matrices, properties of R3 and simple abstract topological spaces, and some exterior algebra. May be taken for grades or on a pass-no pass basis.

### Catalog Program Pages Referencing MATH A285H

MATH A290H5 Units (90 lecture hours)
Introduction to Tensors and Calculus on Manifolds Honors
Prerequisite(s): MATH A280 or MATH A280H; and MATH A285 or MATH A285H.

Grading Mode: Standard Letter, Pass/No Pass

Transfer Credit: CSU; UC.

Introductory study of elementary tensor algebra and calculus, differential and integral calculus in higher dimensions, differential forms, and calculus on manifolds. May be taken for grades or on a pass-no pass basis.