# Courses Offered

**MATH 110 ELEMENTARY ALGEBRA (5)**

*Hours/semester: 80-90 lecture/16-18 hours by arrangement. Prerequisite: Completion of MATH 811, or appropriate placement test score and other measures as appropriate, or equivalent. Recommended: Eligibility for ENGL 846 or ESOL 400, or equivalent.*

An introduction to elementary algebra emphasizing basic algebraic concepts and those skills necessary to apply the concepts to real life problem solving. Topics will provide an introduction to symbol manipulation and the analytical methods for solving applications problems appropriate to the introductory level. A core of mathematical topics, including real numbers, order of operations, linear equations and graphs, and systems of linear equations will be presented.

*Note: A TI graphing calculator is required for the course. (Units do not count toward the Associate Degree).*

**MATH 111 ELEMENTARY ALGEBRA I (3)**

*Hours/semester: 48-54 lecture. Prerequisite: Completion of MATH 806 or MATH 811, or appropriate placement test score and other measures as appropriate, or equivalent. Recommended: Completion of ENGL 846 or ESOL 400, or equivalent.*

An introduction to elementary algebra emphasizing basic algebraic concepts. Topics will provide an introduction to symbol manipulation and the analytical methods for solving applications problems appropriate to the introductory level. A core of mathematical topics, including real numbers, order of operations, linear equations and graphs will be presented.

*This course is equivalent to the first half of MATH 110 – Elementary Algebra. Note: A TI graphing calculator is required for the course. (Units do not count toward the Associate Degree).*

**MATH 112 ELEMENTARY ALGEBRA II (3)**

*Hours/semester: 48-54 lecture. Prerequisite: Completion of MATH 111 or equivalent. Recommended: Completion of ENGL 846 or ESOL 400, or equivalent.*

An introduction to elementary algebra emphasizing basic algebraic concepts. Topics will provide an introduction to symbol manipulation and the analytical methods for solving applications problems appropriate to the introductory level. A core of mathematical topics, including real numbers, order of operations, linear equations and graphs will be presented.

*This course is equivalent to the second half of MATH 110 – Elementary Algebra. Note: A TI graphing calculator is required for the course. (Units do not count toward the Associate Degree).*

**MATH 115 GEOMETRY (4)**

*Hours/semester: 64-72 lecture. Prerequisite: Completion of MATH 110 with grade C or better, or appropriate placement test score and other measures as appropriate, or equivalent.*

A study of Euclidean geometry with aspects of analytic geometry, covering plane and solid figures, the Cartesian coordinate system, and using formal logic.

**MATH 120 INTERMEDIATE ALGEBRA (5)**

*Hours/semester: 80-90 lecture/16-18 hours by arrangement. Prerequisite: Completion of MATH 110 or MATH 112 with a grade C or better, or appropriate placement test score and other measures as appropriate, or equivalent.*

Extension of fundamental algebraic concepts and operations, solutions of linear and quadratic equations, individually and in systems, logarithms, exponentials, radical equations, rational equations, complex numbers, and an extension of the concepts of functions. An emphasis on modeling real life situations.

*Note: A TI 83 or 84 graphing calculator is required for the course.*

**MATH 122 INTERMEDIATE ALGEBRA I (3)**

*Three lecture hours per week plus one hour by arrangement per
week. Prerequisite: Completion of MATH 110 or MATH 112 with a grade
of C or better, or appropriate placement test score and other
measures as appropriate, or equivalent.*

This course will cover all material from MATH 120. In conjunction with MATH 123, a review of elementary algebra. Extension of fundamental algebraic concepts and operations, solutions of linear and quadratic equations, individually and in systems, logarithms, determinants, radical equations, complex numbers, and introduction to functions.

**MATH 123 INTERMEDIATE ALGEBRA II (3)**

*Hours/semester: 48-54 lecture/16-18 hours by arrangement. Prerequisite: Completion of MATH 122 or equivalent.*

This course will cover all material from MATH 120. In conjunction with MATH 122, a review of elementary algebra. Extension of fundamental algebraic concepts and operations, solutions of linear and quadratic equations, individually and in systems, logarithms, determinants, radical equations, complex numbers, and introduction to functions.

**MATH 130 TRIGONOMETRY (4)**

*Hours/semester: 64-72 lecture/16-18 hours by arrangement. Prerequisites: Completion of MATH 120 or MATH 123, or appropriate placement test score and other measures as appropriate, or equivalent. Recommended: MATH 115 or equivalent.*

Trigonometric functions of real numbers and angles; solution of triangles; radian measure; graphs of trigonometric functions; trigonometric equations and identities; inverse trigonometric functions; complex numbers; applications of trigonometry.

*Note: A TI 83 or 84 graphing calculator is required for the course. Transfer credit: CSU (B4).*

**MATH 150 MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS (3)**

*Hours/semester: 48-54 lecture. Prerequisite: MATH 120 or MATH 123, or appropriate placement test score and other measures as appropriate, or equivalent.*

Intended for future elementary school teachers. Topics include basic set theory, elementary number theory, numeration, number systems and operations, and problem solving techniques associated with the real number system.

*Note: A TI graphing calculator is required for the course. (Units do not count toward the Associate Degree).*

**MATH 190 PATH TO STATISTICS (6)**

*Hours/semester: 96-108 lecture. Prerequisite: MATH 811 with a minimum grade of C, or appropriate score on District math placement test and other measures as appropriate.*

An accelerated course to prepare students for transfer-level Statistics (MATH 200), Quantitative Reasoning (MATH 201), and Quantitative Reasoning in Psychology (PSYC 171). It covers core concepts from elementary algebra, intermediate algebra, and descriptive statistics. Topics include ratios, rates, and proportional reasoning; arithmetic reasoning using fractions, decimals and percents; evaluating expressions, solving equations, analyzing algebraic forms to understand statistical measures; use of linear, quadratic, absolute value, exponential, and logarithmic functions to model bivariate data; graphical and numerical descriptive statistics for quantitative and categorical data. This course is designed for students who do not want to major in fields such as math, science, computer science, and business.

*Note: This course is NOT intended for students who plan to study science, technology, engineering, math, as well as business and other non-STEM majors. Students are advised to meet with a counselor to discuss whether placement in this course is appropriate for their intended major.*

**MATH 200 ELEMENTARY PROBABILITY AND STATISTICS (4)**

*Hours/semester: 64-72 lecture/16-18 hours by arrangement. Prerequisite: Completion of MATH 120, MATH 123 or MATH 190, or appropriate placement test score and other measures as appropriate, or equivalent.*

Basic concepts underlying statistical methods and covers descriptive statistics, probability, probability distributions, hypothesis testing, estimates and sample sizes, correlation and regression, chi–square tests, and analysis of variance. Computer analysis of statistical data is integrated into the course. Applications of statistics to business, life sciences and other areas are included.

*Transfer credit: UC; CSU (B4).*

**MATH 201 MATH IN SOCIETY (3)**

*Hours/semester: 48-54 lecture/16-18 hours by arrangement. Prerequisite: Completion of MATH 120, or MATH 123 or MATH 190, or appropriate placement test score and other measures as appropriate, or equivalent.*

Development of the necessary concepts and skills for reasoning logically and quantitatively and application of these concepts to practical, real-life situations. Topics include number systems, logic, geometry, probability and statistics, exponential modeling, and patterns..

*Transfer credit: UC; CSU (B4).*

**MATH 222 PRECALCULUS (5)**

*Hours/semester: 80-90 lecture/16-18 hours by arrangement. Prerequisite: Completion of MATH 130 or equivalent.*

Functional and graphing approach to the concepts and skills necessary as background for success in Calculus. Study of more advanced algebra, including logic, theory of equations, translation, rotation and composition approach to graphing, exponential and logarithmic functions, conic sections and a brief review of trigonometry.

*Transfer credit: UC; CSU (B4).*

**NOTE: The prerequisite for MATH 242 is both MATH 130 and MATH 241. Students planning to take both MATH 241 and 242 should take MATH 130 prior to entering the sequence.**

**MATH 225 FAST TRACK TO CALCULUS (6)**

*Hours/semester:80-90 lecture/48-54 hours by arrangement. Prerequisite: Completion of MATH 120 or MATH 123, or appropriate placement test score and other measures as appropriate, or equivalent.*

Basic techniques of differential calculus. Selected topics from analytic geometry, limits, differentiation, and applications of the derivative.

*Transfer credit: CSU.*

**MATH 241 APPLIED CALCULUS I (5)**

*Hours/semester: 80-90 lecture/16-18 hours by arrangement. Prerequisite: Completion of MATH 120 or MATH 123, or appropriate placement test score and other measures as appropriate, or equivalent.*

Basic techniques of differential calculus. Selected topics from analytic geometry, limits, differentiation, and applications of the derivative.

*Transfer credit: UC; CSU (B4).*

**MATH 242 APPLIED CALCULUS II (3)**

*Three lecture hours per week plus one hour by arrangement per
week. Prerequisites: Completion of MATH 130 and MATH 241 with
grades of C or better, or equivalent.*

Basic techniques of integral calculus. The definition,
calculation, and application of the integral. Logarithmic and
exponential functions. Partial derivatives, multiple integrals,
differential equations, and Taylor Series. *Transfer credit: UC;
CSU (B4). (CAN MATH 32; MATH 241 + MATH 242 = CAN MATH SEQ
D).*

**MATH 251 CALCULUS WITH ANALYTIC GEOMETRY I**

*Hours/semester: 80-90 lecture/16-18 hours by arrangement. Prerequisite: MATH 222, or appropriate placement test score and other measures as appropriate, or equivalent.*

The study of limits and continuity, the derivative, applications of the derivative, the definite integral, and the fundamental theorem of calculus. Primarily for science, technology, engineering, and math majors. Note: TI-83 or TI-84 Graphing Calculator required.

*Transfer credit: UC; CSU (B4).*

**MATH 252 CALCULUS WITH ANALYTIC GEOMETRY II**

*Hours/semester: 80-90 lecture/16-18 hours by arrangement. Prerequisite: Completion of MATH 251 or equivalent.*

The study of applications of the definite integral, vectors, trigonometric and exponential functions, techniques of integration, polar coordinates and parametric equations.

*Transfer credit: UC; CSU (B4).*

**MATH 253 CALCULUS WITH ANALYTIC GEOMETRY III**

*Prerequisite: Completion of MATH 252 or equivalent.*

The study of vector valued functions, sequences and series, Taylor’s formula, multivariable functions, differential calculus and integral calculus of multivariable functions, line and surface integrals and differential equations, Green's Theorem, Stokes' Theorem, and divergence theorem.

*Transfer credit: UC; CSU (B4).*

**MATH 268 DISCRETE MATHEMATICS FOR COMPUTER SCIENCE (3)**

*Hours/semester: 48-54 lecture. Prerequisite: MATH 251 or equivalent. Recommended: COMP 250 or equivalent experience programming in a high-level language; and eligbility for ENGL 100 or equivalent.*

Covers the fundamental mathematical elements of computer science including mathematical logic, sets, functions and relations, generating functions, combinatorics, methods of mathematical proof, basic number theory, algorithms, graphs, and trees.

*Also listed as COMP 262. Transfer credit: CSU.*

**MATH 270 LINEAR ALGEBRA (3)**

*Hours/semester: 48-54 lecture/16-18 hours by arrangement. Prerequisite: Completion of MATH 252 or equivalent.*

The study of systems of linear equations, the algebra of matrices, determinants, vector spaces, linear transformations, the algebra of linear transformations with an introduction to dual spaces, eigenvalues and eigenvectors, and the applications of vectors and matrices to linear equations and linear transformations.

*Transfer credit: UC; CSU (B4).*

**MATH 275 ORDINARY DIFFERENTIAL EQUATIONS (3)**

*Hours/semester: 48-54 lecture/16-18 hours by arrangement. Prerequisite: Completion of MATH 253 or equivalent.*

First-order linear and separable differential equations. Second-order equations and first-order systems. Linear equations and linearization. Numerical and qualitative analysis. Applications and modeling of real phenomena throughout. Other topics include nonlinear systems, dynamical systems, Laplace transforms, and operator techniques. A course suitable for mathematics, physical science, and engineering students after they have completed the calculus sequence.

*Transfer credit: UC; CSU (B4).*

**MATH 650 MATHEMATICS SUPPLEMENT (.5-2)**

**(Pass/No Pass.)**

*Hours/semester: 24-27 lab hours for each .5 unit.*

Based on individual needs, students will have directed learning experiences to improve their mathematical skills which will promote mastery of skills necessary for success in college level mathematics and science courses. These supplementary lessons will be arranged and supervised in the Math Assistance Lab of The Learning Center. Class hours are devoted to work on specific content areas as prescribed for the individual student.

*(Open entry.) (Units do not count toward the Associate Degree.)*

**MATH 805 FUNDAMENTALS OF MATHEMATICS I (2.5)**

*A minimum of 40 lecture hours plus 8 hours by
arrangement.*

Basic skills in mathematics, including whole numbers, decimals,
an introduction to fractions, and limited geometry and statistics.
Using these ideas and skills to solve real life word problems is
emphasized. *May be repeated once for credit. (Units do not count
toward the Associate Degree).*

**MATH 806 FUNDAMENTALS OF MATHEMATICS II (2.5)**

*A minimum of 40 lecture hours plus 8 hours by arrangement.
Prerequisite: Completion of MATH 805 with a grade of C or better or
appropriate placement test score and other measures as appropriate,
or equivalent.*

Basic skills in mathematics, including whole numbers, decimals,
fractions, percents, ratio and proportion, measurement, geometry,
basic statistics, and an introduction to signed numbers and order
of operations. Using these ideas and skills to solve real life word
problems is emphasized. *May be repeated once for credit. (Units
do not count toward the Associate Degree).*

**MATH 811 FUNDAMENTALS OF MATHEMATICS (3)**

*Hours/semester: 32-36 lecture/48-54 lab.*

Emphasis on basic skills in mathematics including operations on whole numbers and rational numbers. Applications of these operations will be stressed.

*(Units do not count toward the Associate Degree.)*

**MATH 815 BASIC MATH SKILLS LABORATORY (.5-1)**

**(Pass/No Pass.)**

*One class hour per week plus lab hours by
arrangement.*

Designed to make the mysteries of mathematical concepts more
clear and understandable. Students will explore the basic concepts
of mathematics by using concrete objects, graphs and group
discussions. Workshops and by arrangement hours may be included.
Should be taken concurrently with MATH 811. *May be repeated
twice for credit. (Units do not count toward the Associate
Degree).*

**MATH 819 MATHEMATICS DEVELOPMENT (3)**

*Hours/semester: 48-54 lecture/16-18 hours by arrangement.*

This course prepares students for college-level Mathematics. Topics include whole numbers, decimals, fractions, percents, ratio and proportion, measurement, geometry, statistics, introductory symbolic manipulation, order of operations, and analytic methods for solving linear applications. Course emphasis will be on using these ideas and skills to solve problems from everyday life. Students will be required to complete individual and collaborative work with assignments both in-class and outside of class. Students will be required to use tutoring facilities for assignments as well.

*Note: This course does not replace any course in Skyline College's required course sequence based on placement testing. (Units do not count toward the Associate Degree).*