# Mathematics

The Mathematics department of Orange Coast College is a leader in community college mathematics education, and features a diverse curriculum, innovative classes, outstanding faculty, a highly respected honors program, and a high rate of university transfer and success.

Doug Lloyd

dlloyd@occ.cccd.edu

## Credit Courses

**MATH A005**

**3 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.

**MATH A008**

**3 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.

**MATH A010**

**4 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.

**MATH A020**

**3 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.

**MATH A030**

**4 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.

**MATH A045**

**6 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.

**MATH A070**

**5 Units (90 lecture hours)**

**Intermediate Algebra and Trigonometry**

**Prerequisite(s):**MATH A010 or appropriate placement.

**Advisory:**MATH A020.

**Grading Mode:** Standard Letter, Pass/No Pass

Topics covered will be functions, linear and quadratic equations, curve sketching, exponents, rational expressions, rational exponents, logarithms, systems of equations, determinants, Cramer's Rule, conic sections, trigonometric and inverse trigonometric functions, graphs of trigonometric functions, identities and trigonometric equations, solutions for triangles, and complex numbers. This is an intense and fast-paced course designed for students intending to continue into precalculus. May be taken for grades or on a pass-no pass basis.

**MATH A090**

**2 Units (36 lecture hours)**

**Support for Liberal Arts Mathematics**

**Co-requisite(s):**MATH A100.

**Grading Mode:** Pass/No Pass

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.

**MATH A091**

**2 Units (36 lecture hours)**

**Support for College Algebra**

**Co-requisite(s):**MATH A115.

**Grading Mode:** Pass/No Pass

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.

**MATH A092**

**2 Units (36 lecture hours)**

**Support for Trigonometry**

**Co-requisite(s):**MATH A120.

**Grading Mode:** Pass/No Pass

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.

**MATH A096**

**2 Units (36 lecture hours)**

**Support for Introduction to Statistics**

**Co-requisite(s):**MATH A160.

**Grading Mode:** Pass/No Pass

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.

**MATH A100**

**3 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.

**MATH A103**

**3 Units (54 lecture hours; 18 lab hours)**

**Statistics for Elementary Teachers**

**Prerequisite(s):**MATH A030 or higher or appropriate placement.

**Grading Mode:** Standard Letter, Pass/No Pass

**Transfer Credit:**CSU.

Designed for prospective teachers, this course is an activity-based exploration of statistics aligned with the California State Mathematics Standards for K-12. Topics include data representation and analysis, randomization and sampling, measures of central tendency and variability, hypothesizing and statistical inference. May be taken for grades or on a pass-no pass basis.

**MATH A104**

**3 Units (54 lecture hours)**

**Mathematics for Elementary Teachers**

**Prerequisite(s):**MATH A030 or higher or appropriate placement.

**Advisory:**MATH A020.

**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.

**MATH A115**

**4 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.

**MATH A120**

**3 Units (54 lecture hours)**

**Trigonometry**

**Prerequisite(s):**MATH A030 or higher or appropriate placement.

**Advisory:**MATH A020.

**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.

**MATH A140**

**4 Units (90 lecture hours)**

**Business Calculus**

**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.

**MATH A155**

**4 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.

**MATH A160**

**4 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.

**MATH A170**

**4 Units (90 lecture hours)**

**Precalculus**

**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.

**MATH A180**

**4 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.

**MATH A180H**

**4 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.

**MATH A182H**

**5 Units (90 lecture hours)**

**Calculus 1 and 2 Honors**

**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.

**MATH A185**

**4 Units (90 lecture hours)**

**Calculus 2**

**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.

**MATH A185H**

**4 Units (90 lecture hours)**

**Calculus 2 Honors**

**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.

**MATH A220**

**3 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.

**MATH A230**

**5 Units (90 lecture hours)**

**Introduction to Discrete Mathematics**

**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.

**MATH A235**

**3 Units (54 lecture hours)**

**Applied Linear Algebra**

**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.

**MATH A280**

**4 Units (90 lecture hours)**

**Calculus 3**

**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.

**MATH A280H**

**5 Units (108 lecture hours)**

**Calculus 3 Honors**

**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.

**MATH A285**

**4 Units (90 lecture hours)**

**Introduction to Linear Algebra and Differential Equations**

**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.

**MATH A285H**

**5 Units (108 lecture hours)**

**Introduction to Linear Algebra and Differential Equations Honors**

**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.

**MATH A290H**

**5 Units (90 lecture hours)**

**Introduction to Tensors and Calculus on Manifolds Honors**

**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.