# Courses Offered

**MATH 110 ELEMENTARY ALGEBRA (5)**

*Five lecture hours per week. Prerequisite: Completion of MATH
806 or MATH 811 with a grade of C or better, or appropriate
placement test score and other measures as appropriate, or
equivalent.*

An introduction to elementary algebra emphasizing basic algebraic concepts and those skills necessary to apply the 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, polynomials, and factoring will be presented.

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

*Three lecture hours per week. Prerequisite: Completion of
MATH 806 or MATH 811 with a grade of C or better, or appropriate
placement test score and other measures as appropriate, 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. This course is equivalent to the first half of MATH 110 ' Elementary Algebra..

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

*Three lecture hours per week. Prerequisite: Completion of
MATH 111 with a grade of C or better, or equivalent.*

A continued introduction to elementary algebra emphasizing basic algebraic concepts and those skills necessary to apply the concepts. Topics will continue to provide the use of symbol manipulation, and analytical methods for solving applications problems appropriate to the introductory level. The second half of the basic core of mathematical topics of elementary algebra including polynomials, rational and irrational expressions, and quadratic equations will be presented.

**MATH 115 GEOMETRY (4)**

*Four lecture hours per week. 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)**

*Five lecture hours per week plus one hour by arrangement per
week. 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. 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)**

*Three lecture hours per week plus one hour by arrangement per
week. Prerequisite: Completion of MATH 122 with a grade of C or
better, 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/16-18 hours by arrangement. Prerequisite: Completion of MATH 120, or appropriate placement test score and other measures as appropriate, or equivalent.*

Intended for future elementary school teachers. Topics covered include elementary set theory, numeration, number systems and operations, and elementary number theory, with emphasis on problem solving. This is the first of a three-course math content sequence that most universities now require for teachers. The other two courses are upper-division.

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

**MATH 153 MATHEMATICS FOR ELEMENTARY SCHOOL TEACHERS II (3)**

*Three lecture hours per week. Prerequisite: Completion of
MATH 150 with a grade of C or better, or equivalent.*

Second semester in a two-semester sequence for elementary school
teachers. Proportional reasoning (ratio, proportion, rates as
functions); statistics (graphs, measures of central tendency,
dispersion, normal distribution, sampling methods); probability
(event/multistage experiments, odds, expected values); geometric
shapes (multi-dimensional figures, congruence transformations,
symmetry, tessellations); geometry measurement (systems of
measurement, multi-dimensional measurements). *Transfer credit:
UC; CSU (B4).*

**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 or MATH 123, 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, analysis of variance, and nonparametric statistics. 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 QUANTITATIVE REASONING (3)**

*Hours/semester: 48-54 lecture/16-18 hours by arrangement. Prerequisite: Completion of MATH 120 or MATH 123 with a grade C or better, 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)**

*Five lecture hours per week plus one hour by arrangement per
week. Prerequisite: Completion of MATH 130 with a grade of C or
better; 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). (CAN MATH
16). @9/11.5 no indent:**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 241 APPLIED CALCULUS I (5)**

*Five lecture hours per week plus one hour by arrangement per
week. Prerequisite: Completion of MATH 120 or MATH 123 with a grade
of C or better, 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). (CAN MATH 30; MATH
241 + MATH 242 = CAN MATH SEQ D).*

**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**

*Prerequisite: Completion of MATH 222 with a grade of C or
better, or appropriate placement test score and other measures as
appropriate, or equivalent.*

The study of limits and continuity, the derivatives,
applications of derivative, the definite integral, improper
integrals, the conic sections. *Transfer credit: UC; CSU (B4).
(CAN MATH 18; MATH 251 + MATH 252 = CAN MATH SEQ B).*

**MATH 252 CALCULUS WITH ANALYTIC GEOMETRY II**

*Prerequisite: Completion of MATH 251 with a grade of C or
better, 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). (CAN MATH 20; MATH 251 + MATH 252 = CAN MATH SEQ
B).*

**MATH 253 CALCULUS WITH ANALYTIC GEOMETRY III**

*Prerequisite: Completion of MATH 252 with a grade of C or
better, or equivalent.*

The study of vector valued functions, sequences and series,
Taylor's formula, multivariable functions, differential
calculus of multivariable functions, and integral calculus of
multivariable functions. Line and surface integrals and
differential equations will be covered as time permits. *Transfer
credit: UC; CSU (B4). (CAN MATH 22).*

**MATH 270 LINEAR ALGEBRA (3)**

*Three lecture hours per week plus one hour by arrangement per
week. Prerequisite: Completion of MATH 252 with a grade of C or
better, 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). (CAN MATH
26).*

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

*Three lecture hours per week plus one hour by arrangement per
week. Prerequisite: Completion of MATH 253 with a grade of C or
better, or equivalent.*

Differential equations and applications of first and higher
order with an emphasis on second order. Other topics may include
series solutions about regular singular points, LaPlace transforms,
operator techniques, and numerical methods of approximation. A
course suitable for mathematics, physical science, and engineering
students after they have completed the Calculus sequence.
*Transfer credit: UC; CSU (B4). (CAN MATH 24).*

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

**(Pass/No Pass.)**

*Twenty-four 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. *May be
repeated for credit a maximum of three times. (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).*

**MATH 879SA PATH TO STATISTICS (6)**

*Prereq: MATH 811, or appropriae score on District math
placement test and other measures as appropriate.*

An accelerated course to prepare students for transfer-level Statistics. 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.