# Courses Offered

**MATH 110 Elementary Algebra (5 units)**

An introduction to elementary algebra emphasizing basic algebra 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 application 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. A TI graphing calculator is required for the course. (Units do not count toward the Associate Degree.)

**MATH 115 Geometry (4 units)**

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 units)**

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.

**MATH 130 Trigonometry (4 units)**

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. A TI-83, 83+, 84, or 84+ graphing calculator is required for the course.

**MATH 150 Mathematics for Elementary School Teachers (3 units)**

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.

**MATH 190 Path to Statistics (6 units)**

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 class in appropriate for their intended major.

**MATH 200 Elementary Probability & Statistics (4 units)**

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.

**MATH 201 Math in Society (3 units)**

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

**MATH 222 Precalculus (5 units)**

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.

**MATH 225 Path to Calculus (6 units)**

Equivalent to MATH 130 and 222. This accelerated course combines the topics of Trigonometry and Pre-Calculus and is designed to fulfill the requirements of both courses in a single course. Topics include a study of functions, function families, their properties and transformations, compositions, inverses and combinations, complex numbers, and vectors. Function families include linear, trigonometric, logarithmic, exponential, polynomial, power, and rational. Multiple representations of functions are emphasized.

**MATH 241 Applied Calculus I (5 units)**

Basic techniques of differential and integral calculus of functions of one variable, including polynomial, rational, exponential, logarithmic and exponential functions. Selected topics from applications in analytic geometry, limits, differentiation, applications of the derivative, and applications of the integral.

**MATH 242 Applied Calculus II (3 units)**

Basic techniques of integral calculus. The definition, calculation, and application of the integral. Logarithmic, exponential, and trigonometric functions. Partial derivatives, multiple integrals, differential equations, and Taylor Series. A TI-83, 83+, 84, or 84+ graphing calculator is required for the course.

**MATH 243 Business Calculus II with Trigonometry (4 units)**

The second half of a two-semester calculus sequence designed for business and applied science majors. Topics include the integral, techniques of integration, an introduction to trigonometry, multivariable calculus, and differential equations.

**MATH 251 Calculus with Analytic Geometry I (5 units)**

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.

**MATH 252 Calculus with Analytic Geometry II (5 units)**

The study of applications of the definite integral, techniques of integration involving polynomial, rational, trigonometric, inverse trigonometric, exponential, and logarithmic functions, vectors, differentiation and integration of functions in polar coordinates and parametric form, analysis of sequences, series, and power series, including differentiation and integration of power series, Taylor series, and Fourier series. Note: TI-83 or TI-84 Graphing Calculator required.

**MATH 253 Calculus with Analytic Geometry III (5 units)**

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, divergence theorem. Note: TI-83 or TI-84 Graphing Calculator required.

**MATH 270 Linear Algebra (3 units)**

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.

**MATH 275 Ordinary Differential Equations (3 units)**

The first course in ordinary differential equations including quantitative and qualitative methods incorporating a variety of applications from many disciplines. Theoretical aspects of differential equations including existence of solutions and techniques for finding solutions including power series (infinite series) solutions, ordinary points, singular points, linear systems, nonlinear systems, dynamical systems, Laplace transforms and operator techniques.

**MATH 650 Mathematics Supplement (0.5- 2 units)**

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 800 Just-In-Time Support for Elementary Probability & Statistics (2 units)**

A review of the core prerequisite skills, competencies, and concepts needed in statistics. Intended for students who are concurrently enrolled in MATH 200, Elementary Statistics, at Skyline College. Topics include concepts from arithmetic, pre-algebra, elementary and intermediate algebra, and descriptive statistics that are needed to understand the basics of college-level statistics. Concepts are taught through the context of descriptive data analysis. Additional emphasis is placed on solving and graphing linear equations and modeling with linear functions. (Units do not count toward Associate Degree.)

**MATH 819 Mathematics Development (3 units)**

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, outside 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.)

**MATH 820 Just-In-Time Support for Intermediate Algebra (3 units)**

A review of the core prerequisite skills, competencies, and concepts for intermediate algebra. Intended for students who are concurrently enrolled in MATH 120, Intermediate Algebra, at Skyline College. Review topics include: computational skills developed in pre-algebra, the vocabulary of algebra, translation from English to algebra, and evaluation of literal expressions and functions. Topics covered in more depth include: solving and graphing linear equations and inequalities in one and two variables, solving and graphing systems of equations in two variables, factoring, algebraic operations on polynomial and rational expressions, solving quadratics using factoring, and rational equations. Recommended for students with little or no recent knowledge of algebra. A graphing calculator is required for this course. (Units do not count toward the Associate Degree.)

**MATH 825 Just-In-Time Support for Path to Calculus (2 units)**

A review of the core prerequisite skills, competencies, and concepts needed in pre-calculus. Intended for majors in science, technology, engineering, and mathematics who are concurrently enrolled in MATH 225, Path to Calculus. Topics include: a review of computational skills developed in intermediate algebra, factoring, operations on rational and radical expressions, absolute value equations and inequalities, exponential and logarithmic expressions and equations, functions including composition and inverses, an in-depth focus on quadratic functions, and a review of topics from geometry.

**MATH 830 Just-In-Time Support for Analytical Trigonometry (1 units)**

A review of the core prerequisite skills, competencies, and concepts needed in trigonometry. Intended for students who are concurrently enrolled in MATH 130, Analytical Trigonometry.

**MATH 841 Just-In-Time Support for Applied Calculus I (1 units)**

A review of the core prerequisite skills, competencies, and concepts needed in college algebra. Intended for majors in science, technology, engineering, and mathematics who are concurrently enrolled in MATH 241, Applied Calculus I, at Skyline College. Topics include: a review of computational skills developed in intermediate algebra, factoring, operations on rational and radical expressions, absolute value equations and inequalities, exponential and logarithmic expressions and equations, conic sections, functions including composition and inverses, and an in-depth focus on quadratic functions. Appropriate for students who are confident in their graphing and beginning algebra skills. A graphing calculator is required. (Units do not count toward the Associate Degree.)

**MATH 890 Just-In-Time Support for Path to Statistics (2 units)**

A review of the core prerequisite skills, competencies, and concepts needed in pre-statistics. Intended for students who are concurrently enrolled in MATH 190, Path to Statistics. Topics include basic arithmetic involving whole numbers, signed numbers, fractions, and decimals; estimation, number sense, and order of operation.