## Course Description & Content

### 103 How to Succeed At Math (1)

Lecture, 1 hour

This course covers basic study skills necessary to successfully complete mathematics
courses. Topics include preparing for class, solving math problems, where to go for
help, minimizing test anxiety, and memory techniques for recalling information, with
a special emphasis on having a positive experience in math.

### 105 Arithmetic (3)

Lecture, 3 hours.

This course is designed to give students understanding and competency concerning
the arithmetic of positive numbers. Topics include the standard operations of addition,
subtraction, multiplication and division on whole numbers, fractions, and decimals
with applications. Ratios, proportions, and percents are also covered. Additional
topics may be chosen from geometric figures and introductory algebra.

### 107 How to Do Word Problems (1)

Lecture, 1 hour.

This course is designed to assist students in elementary algebra to master the basic
concepts of solving word problems which includes recognizing relevant data in the
problem, choosing an appropriate method of solution, and checking the answer.

### 110 Introduction to Algebraic Concepts (5)

Lecture, 5 hours.

This course reviews topics in arithmetic relevant to algebra and introduces ideas
necessary for understanding algebra. Students discuss fundamental notions of algebra
including the arithmetic of signed numbers, solving first degree equations, mathematical
modeling, and basic graphing techniques.

### 115 Elementary Algebra (5)

Lecture, 5 hours.

This course covers the fundamentals of beginning algebra. Topics include signed numbers,
valuation of algebraic expressions, exponents, solving equations, polynomials, factoring,
rational expressions, radicals, quadratics, graphs, systems of equations, inequalities,
and applications.

### 120 Plane Geometry (5)

Lecture, 5 hours.

This is a basic course in the fundamentals of Euclidean plane geometry which includes
consideration of geometric properties and relationships. Practice in accurate thinking
and developing logical proofs are emphasized.

### 125 Intermediate Algebra (5)

Lecture, 5 hours.

*Note: A scientific or business calculator is required for this class.*

This course strengthens and further develops manipulative skills in elementary algebra.
Topics include the fundamental operations on algebraic expressions, solutions of equations
and inequalities, exponentiation, graphs of algebraic, exponential and logarithmic
functions, systems of equations and inequalities, and an introduction to the conic
sections. Applications are included in a wide variety of word problems.

### 173 Introduction to Mathematical Programming (4) UC:CSU

*Prerequisite: Satisfactory completion of Mathematics 260.*

Lecture, 3 hours; laboratory, 2 hours.

This course is an introduction to programming using C++, including theory, applications,
and programming. Variables and basic data types, operators, control structures, input
and output, arrays, strings, functions, recursion, structures, pointers, namespaces,
and overloading are discussed in detail. Classes and object-oriented programming are
introduced. Commenting of code and debugging are emphasized. Course includes examples
from mathematics.

### 192 Graphing Calculator (1) CSU

Lecture, 1 hour.

This course introduces the use of the graphing calculator. It includes topics such
as graphing functions in two and three dimensions, writing programs, engineering and
calculus applications, solving systems of equations using matrices, and analyzing
data using statistics.

### 215 Principles of Mathematics I (3) UC:CSU

*Prerequisite: Satisfactory completion of Mathematics 125.*

Lecture, 3 hours.

This course is intended for those who plan to teach mathematics in elementary schools.
The course covers the language of sets, elementary logic, systems of numeration, numbers,
fundamental operations, functions, integers, rational numbers, real numbers, and algorithms
used in calculations.

### 216 Principles of Mathematics II (3) UC:CSU

*Prerequisite: Satisfactory completion of Mathematics 215.*

Lecture, 3 hours.

This course is the second in the sequence intended for those who plan to teach elementary
school mathematics. Topics presented include basic probability, introductory statistics,
and introductory geometry including constructions, congruence and similarity, measurement,
motion geometry, and tessellations.

### 227 Statistics (4) UC:CSU IGETC Area 2A

*(UC Credit Limit: Math 227 combined with ENG GEN 221, maximum credit, one course). Prerequisite: Satisfactory completion of Mathematics 125 or acceptable level of skill
as demonstrated in the Mathematics placement process.*

Lecture, 4 hours; Laboratory,1 hour

*Note: A calculator is required. See the instructor about the specific kind needed.*

This course is an introduction to probability, measures of central tendency and dispersion, descriptive and inferential statistics including sampling, estimation, hypothesis testing. Analysis of variance, chi-square and student t-distributions; linear correlation, and regression analysis are also presented as topics.

### 230 Mathematics for Liberal Arts Students (3) UC:CSU IGETC Area 2A

*Prerequisite: Satisfactory completion of Mathematics 125 or acceptable level of skill
as demonstrated in the Mathematics placement process.*

Lecture, 3 hours.

An introduction to the spirit and style of mathematics and its pursuit as a human
endeavor. Topics are chosen from a variety of mathematical fields including logic,
set theory, systems of numeration, number theory, algebra, the metric system, geometry,
mathematical systems, consumer mathematics, probability, statistics, graph theory,
voting and apportionment which are intended to illustrate the nature of mathematical
discovery, the utility of mathematical applications, and the beauty of geometric design.

### 235 Finite Mathematics (5) UC:CSU IGETC Area 2A

*Prerequisite: Satisfactory completion of Mathematics 125 or acceptable level of skill
as demonstrated in the Mathematics placement process.*

Lecture, 5 hours.

*Note: A calculator is required. See the instructor about the specific kind needed.*

This course covers topics in finite mathematics with applications to business and
social sciences. Systems of linear equations, inequalities, linear programming, mathematics
of finance, matrix algebra, probability, statistics, and game theory are among the
topics presented.

### 236 Calculus for Business and Social Science (5) UC:CSU IGETC Area 2A

*(UC Credit Limit: Math 236 combined Math 261 + Math 262, maximum credit, two courses).*

*Prerequisite: Satisfactory completion of Mathematics 235 or Mathematics 245.*

Lecture, 5 hours.

*Note: Student should consult a counselor to determine which prerequisite is required
by the university targeted for transfer.*

*Note: A calculator is required. See instructor about the specific kind needed.*

This course consists of elementary differential and integral calculus of algebraic,
exponential, and logarithmic functions, as well as partial derivatives and the method
of Lagrange multipliers. Applications to business and the social sciences are emphasized.

### 241 Trigonometry with Vectors (4) CSU

*Prerequisites: Satisfactory completion of Mathematics 120 and Mathematics 125 or acceptable
level of skill as demonstrated in the Mathematics placement process.*

Lecture, 4 hours; Laboratory, 1 hour

*Note: A scientific calculator is required for this class. See the instructor about
the specific kind needed.*

This course includes the study of the trigonometric functions and their inverses;
measurement of angles in degrees and in radians; evaluating triangles; solutions of
trigonometric equations; verification of trigonometric identities; vectors; complex
numbers; graphing trigonometric functions and polar curves.

### 245 College Algebra (3) UC:CSU IGETC Area 2A

*(UC Credit Limit: Math 245 and 260 combined - maximum credit four units).*

*Prerequisite: Satisfactory completion of Mathematics 125 or acceptable level of skill
as demonstrated in the Mathematics placement process.*

Lecture, 3 hours; Laboratory, 1 hour

*Note: A scientific calculator is required for this class. See the instructor about
the specific kind needed.*

This course covers topics including polynomial and rational functions, inverse, exponential
and logarithmic functions, systems and matrices, analytical geometry, sequences and
series, the binomial theorem, mathematical induction, counting theory, and probability.

### 260 Pre-Calculus (5) UC:CSU IGETC Area 2A

*(UC Credit Limit: Math 245 and 260 combined - maximum credit four units).*

Lecture, 5 hours; laboratory, 1 hour

*Note: A calculator is required. See the instructor about the specific kind needed.*

This course covers topics in college algebra including polynomial and rational functions,
exponential and logarithmic functions, systems of equations and inequalities, conic
sections, sequences and series, and limits as a preview to calculus.

### 261 Calculus I (5) UC:CSU IGETC Area 2A

*(UC Credit Limit: Math 236 combined Math 261 + Math 262, maximum credit, two courses).*

*Prerequisite: Satisfactory completion of Mathematics 241 and Mathematics 260 or acceptable
level of skill as demonstrated in the Mathematics placement process.*

Lecture, 5 hours.

*Note: A calculator is required. See the instructor about the specific kind needed.*

This is the first of a three-course sequence in calculus. Topics included are: limits
and continuity, derivatives, applications of differentiation, integrals, the Fundamental
Theorem of Calculus, and applications of integration.

### 262 Calculus II (5) UC:CSU IGETC Area 2A

*(UC Credit Limit: Math 236 combined Math 261 + Math 262, maximum credit, two courses).*

*Prerequisite: Satisfactory completion of Mathematics 261.*

Lecture, 5 hours.

*Note: A calculator is required. See the instructor about the specific kind needed.*

This is the second in a three-course sequence in calculus. Topics include differentiation
and integration of logarithmic, exponential, circular and hyperbolic functions and
their inverses, indeterminate forms, improper integrals, standard techniques of integration,
parametric equations and polar coordinates, arc length, area of a surface of revolution,
infinite sequences and series, and representation of functions as a power series.

### 263 Calculus III (5) UC:CSU IGETC Area 2A

*Prerequisite: Satisfactory completion of Mathematics 262.*

Lecture, 5 hours.

*Note: A calculator is required, see instructor about the specific kind needed.*

This is the third of a three-course sequence in calculus. Topics include vectors
and the geometry of space, vector functions, partial derivatives, multiple integrals
and vector calculus.

### 270 Linear Algebra (3) UC:CSU IGETC Area 2A

*Prerequisite: Satisfactory completion of Mathematics 262.*

Lecture, 3 hours.

This course includes the study of systems of linear equations and their solutions,
matrices, determinants, vector spaces, linear transformations, orthogonality and characteristic
value problems.

### 272 Methods of Discrete Mathematics (5) UC:CSU IGETC Area 2A

*Prerequisites: Mathematics 262.*

Lecture, 5 hours.

This course introduces sets, relations, functions and logic along with formal methods
of proof such as contradiction, contrapositive, induction, diagonali-zation, recursion,
and the Pigeonhole principle. These ideas and methods are developed by looking at
problems from combinations and counting, elementary number theory, and graph theory.
Topics from map coloring, complexity, and cryptography are also discussed.

### 273 Introduction to Object-Oriented Programming (4) UC:CSU

*Prerequisites: Satisfactory completion of Mathematics 173.*

Lecture, 3 hours; laboratory, 2 hours.

This course focuses on object-oriented programming, data structures, and algorithm
design using C++. Topics include a review of classes and objects, operators and operator
overloading, dynamic memory allocation, class inheritance, re-usability of code, friends,
exceptions, the Standard Template Library, Big-O notation, linked lists, stacks, queues,
and trees, as well as algorithms for searching and sorting. Commenting and debugging
of code are emphasized.

### 275 Ordinary Differential Equations (3) UC:CSU IGETC Area 2A

*Prerequisite: Satisfactory completion of Mathematics 263.*

Lecture, 3 hours.

*Note: A scientific calculator is required for this class.*

This course provides the student with a basic understanding of the theory and content
of ordinary differential equations. Various methods of solving these equations, especially
first and second order, are emphasized as are solutions to physical applications problems.
Other topics covered include existence and uniqueness theorems, systems of linear
differential equations, numerical and graphical methods using computers, and the Laplace
transform.

### 280 Introduction to Numerical Analysis (3) UC:CSU IGETC Area 2A

*Prerequisites: Satisfactory completion of Mathematics 263 and EITHER Mathematics 173
or General Engineering 121 OR Computer Science Information Technology 243.*

Lecture, 3 hours.

This course is designed to provide an introduction to numerical methods. Topics presented
include error analysis, finding roots of non-linear equations, numerical methods for
matrix operations, interpolation and curve fitting. Numerical methods in differentiation
and integration also are considered.

### 282 Introduction to Abstract Algebra (3) UC:CSU

*Prerequisites: Satisfactory completion of Mathematics 270.*

Lecture, 3 hours.

This course is an introduction to numbers, number systems, and the basic algebraic
structures of groups, rings, and fields.

### 284 Introduction to Number Theory (3) UC:CSU IGETC Area 2A

*Prerequisite: Satisfactory completion of Mathematics 262.*

Lecture, 3 hours.

This course introduces topics in elementary number theory, including the study of
primes, composites, the Euclidean algorithm, Diophantine equations, congruences, divisibility,
multiplicative functions, quadratic residues, and continued fractions

### 286 Partial Differential Equations in the Natural Sciences (5) UC:CSU

IGETC Area 2A

*Prerequisite: Satisfactory completion of Mathematics 275.*

Lecture, 5 hours.

This course introduces linear partial differential equations and boundary and initial
value problems with particular emphasis on the wave equation, the heat equation, and
the Laplace equation. The techniques of separation of variables, eigenfunction expansions,
and the method of characteristics for nonlinear equations are also studied.