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Mathematics (MATH)

Courses

The following Mathematics and Statistics courses are offered:

Mathematics (MATH)

MATH 10
Developing Confidence in Math    1 Unit
Prerequisite: None
Corequisite: MATH 20, 30, 100, 110, or 120
Hours: 18 hours LEC
This course helps students become more effective learners of mathematics. Topics addressed are how to overcome math anxiety and build confidence in math, study and note taking skills, time management, and test preparation. Students must be enrolled in Math 20, 30, 100, 110 or 120 to take this course or have the permission of the instructor. This course is graded on a Pass/No Pass basis.

MATH 20

Arithmetic   5 Units
Prerequisite: None
Hours: 90 hours LEC
This course provides group and individual instruction in the fundamentals of arithmetic with an emphasis on written and mental computational skills. In order to enhance mental computational skills, calculators will not be allowed. Topics include operations with whole numbers, fractions, decimals, signed numbers, percents, ratios, proportions, problem solving, and applications involving measurement and geometry.

MATH 30

Pre-Algebra Mathematics    5 Units
Prerequisite: MATH 20 or 25 with a grade of "C" or better; or placement through the assessment process.
Hours: 90 hours LEC
This course in pre-algebra mathematics emphasizes the fundamental operations on integers and decimals as well as in geometric figures, measurement, and algebra with an emphasis on written and mental computational skills. Topics include: fractions; decimals; signed numbers; properties of exponents; scientific notation; evaluation of expressions and formulas; linear equations; algebraic manipulations on polynomials; and the rectangular coordinate system.

MATH 100

Elementary Algebra    5 Units
Prerequisite: MATH 30 with a grade of "C" or better;
or placement through the assessment process.
Hours: 90 hours LEC
This course includes the fundamental concepts and operations of algebra with problem solving skills emphasized throughout. Topics include: properties of real numbers, linear equations and inequalities, integer exponents, polynomials, factoring polynomials, rational expressions and equations, radical expressions and equations, systems of linear equations and inequalities, the rectangular coordinate system, graphs and equations of lines, and solving quadratic equations.

MATH 110

Elementary Geometry    5 Units
Prerequisite: MATH 100 with a grade of "C" or better;
or placement through the assessment process.
General Education: AA/AS Area II(b)
Hours: 90 hours LEC
This course covers aspects of elementary geometry. Topics include terms and definitions, properties of parallel lines and parallelograms, congruent and similar triangles, properties of triangles, right triangles, and basic trigonometry. Later topics include properties of circles, construction of loci, areas, and volumes. The course also emphasizes problem solving strategies, elementary logic, and reading and writing proofs. Students are required to purchase a compass, straight edge or ruler. (Competency: Mathematics)

MATH 120

Intermediate Algebra    5 Units
Prerequisite: MATH 100 with a grade of "C" or better;
or placement through the assessment process.
General Education: AA/AS Area II(b)
Hours: 90 hours LEC
This course reviews and extends the concepts of elementary algebra with problem solving skills emphasized throughout. Topics which are reviewed and extended include: linear and quadratic equations, factoring polynomials, rational expressions, exponents, radicals, equations of lines, and systems of equations. New topics include: larger systems of equations, absolute value equations and inequalities, rational exponents, translations and reflections of key function graphs, function notation and function operations, exponential and logarithmic functions, graphs of quadratic and simple polynomial functions, quadratic inequalities, non-linear systems of equations, and an introduction to conic sections.
(Competency: Mathematics)

MATH 295

Independent Studies in Mathematics    1-3 Units
Prerequisite: None
Hours: 18 hours LEC; 54 hours LAB

MATH 299

Experimental Offering in Mathematics    .5-4 Units
Prerequisite: None
Hours: 18 hours LEC; 54 hours LAB

MATH 310

Mathematical Discovery    3 Units
Prerequisite: Math 110 (Geometry) or one year of high school Geometry and Math 120 (Intermediate Algebra); both with a grade of "C" or better; or placement through the assessment process.
General Education: AA/AS Area II(b); CSU Area B4
Course Transferable to UC/CSU
Hours: 54 hours LEC
This course is designed to enhance students' understanding of mathematics by involving them in the mathematical process of exploration, conjecture, and proof. Students will explore mathematical patterns and relations, formulate conjectures, and prove their conjectures. Areas of mathematics from which content may be derived include number theory, statistics, probability, geometry, and sequences and series. This course is recommended for students interested in a career in education. (Competency: Mathematics)

MATH 335

Trigonometry with College Algebra    5 Units
Prerequisite: Math 120 (Intermediate Algebra) and Geometry; both with a grade of "C" or better; or placement through the assessment process.
General Education: AA/AS Area II(b); CSU Area B4
Course Transferable to CSU
Hours: 90 hours LEC
This is a full trigonometry course with college algebra concepts reviewed, extended, and integrated when they are relevant to the trigonometric concepts. The trigonometric topics include right triangle trigonometry, unit circle trigonometry, graphs of trigonometric functions, proofs of trigonometric identities, solving trigonometric equations, applications of trigonometric functions (laws of sines and cosines), inverse trigonometric functions, polar coordinates, graphing polar functions, and vectors. The algebra topics include exponential and logarithmic functions, complex numbers, in addition to solving equations, inequalities, and systems of equations. A graphing calculator may be required for this course. (Competency: Mathematics)

MATH 341

Calculus for Business and Economics    4 Units
Prerequisite: MATH 120 with a grade of "C" or better,
or placement through the assessment process.
General Education: AA/AS Area II(b)
Course Transferable to UC/CSU
Hours: 72 hours LEC
This course is designed around applications of sets, functions, limits, analytic geometry, and the differential and integral calculus in an economic and business context. This course is intended for business students; it is not recommended for mathematics and physical science majors. C-ID MATH 140 (Competency: Mathematics)

MATH 343

Modern Business Mathematics    4 Units
Prerequisite: MATH 120 with a grade of "C" or better;
or placement through the assessment process.
General Education: AA/AS Area II(b); CSU Area B4
Course Transferable to CSU
Hours: 72 hours LEC
This course is designed around applications of mathematics in an economic and business context. The major topics included are functions, finance (interest and exponential models), rates of change, optimization, and linear programming. The content of the course is structured to incorporate tables, graphs and data sets collected from real-world situations. This course is not recommended for mathematics or physical science majors. (Competency: Mathematics)

MATH 370

Pre-Calculus Mathematics    5 Units
Prerequisite: MATH 335 with a grade of "C" or better;
or placement through the assessment process.
General Education: AA/AS Area II(b); CSU Area B4; IGETC Area 2
Course Transferable to UC/CSU
Hours: 90 hours LEC
This course is designed to prepare students for Calculus (Math 400 - 402). Course content includes a brief review followed by an in-depth extension of the properties of polynomial, rational, exponential, logarithmic and trigonometric functions. Additional topics include systems of linear and non-linear equations and inequalities, conic sections, sequences and series, binomial theorem, analytic geometry, vectors, parametric, and polar equations. A graphing calculator may be required for this course.
(Competency: Mathematics)

MATH 400

Calculus I    5 Units
Prerequisite: MATH 370 with a grade of "C" or better,
or placement through the assessment process.
General Education: AA/AS Area II(b); CSU Area B4; IGETC Area 2
Course Transferable to UC/CSU
Hours: 90 hours LEC
This course explores the basic concepts of analytic geometry, limits of functions, derivatives, and integrals. Topics covered will include finding the limits of functions by graphing and indeterminate forms of algebraic expressions. Derivatives and integrals involving algebraic, trigonometric, exponential, logarithmic, and inverse trigonometric functions will also be covered. Many applications will be covered, including those involving rectilinear motion, differentials, related rates, graphing, optimization, and finding areas of bounded regions. A graphing calculator may be required for this course.
(C-ID MATH 210; Competency: Mathematics)

MATH 401

Calculus II    5 Units
Prerequisite: MATH 400 with a grade of "C" or better
General Education: AA/AS Area II(b); CSU Area B4; IGETC Area 2
Course Transferable to UC/CSU
Hours: 90 hours LEC
This course is a continuation of MATH 400. Topics covered include techniques of integration, numerical integration, improper integrals, infinite series, parametric equations, polar coordinates, and conic sections. Many applications will be covered including those involving areas between plane regions, volumes of revolution, work, moments and concepts of mass, average value, arc length, and surface area. A graphing calculator may be required for this course. (C-ID MATH 220; Competency: Mathematics)

MATH 402

Calculus III    5 Units
Prerequisite: MATH 401 with a grade of "C" or better
General Education: AA/AS Area II(b); CSU Area B4; IGETC Area 2
Course Transferable to UC/CSU
Hours: 90 hours LEC
This course extends the concepts of limits, derivatives and integrals to vector-valued functions and functions of more than one variable. Topics covered will include three-dimensional analytic geometry and vectors, partial derivatives, multiple integrals, line integrals, surface integrals, and the theorems of Green, Gauss (Divergence), and Stokes. Many applications of the calculus will be included. A graphing calculator may be required for this course. (C-ID MATH 230; Competency: Mathematics)

MATH 410

Introduction to Linear Algebra    3 Units
Prerequisite: MATH 401 with a grade of "C" or better
General Education: AA/AS Area II(b); CSU Area B4
Course Transferable to UC/CSU
Hours: 54 hours LEC
This course introduces linear algebra. Topics include matrices, determinants, systems of equations, vector spaces, linear transformations, eigenvectors, and applications. This course is intended for majors in mathematics, engineering, science, and related fields. C-ID MATH 250 (Competency: Mathematics)

MATH 420

Differential Equations    4 Units
Prerequisite: MATH 401 with a grade of "C" or better
General Education: AA/AS Area II(b); CSU Area B4
Course Transferable to UC/CSU
Hours: 72 hours LEC
This course is a study of ordinary differential equations, including linear equations, systems of equations, equations with variable coefficients, existence and uniqueness of solutions, series solutions, singular points, transform methods, boundary value problems, and applications. (C-ID MATH 240; Competency: Mathematics)

MATH 495

Independent Studies in Mathematics    1-3 Units
Prerequisite: None
Course Transferable to CSU
Hours: 54-162 hours LAB

MATH 499

Experimental Offering in Mathematics    .5-4 Units
Prerequisite: None
Course Transferable to CSU
Hours: 18 hours LEC; 54 hours LAB
Statistics (STAT)

STAT 300
Introduction to Probability and Statistics    4 Units
Prerequisite: MATH 120 with a grade of "C" or better,
or placement through the assessment process.
General Education: AA/AS Area II(b); CSU Area B4; IGETC Area 2
Course Transferable to UC/CSU
Hours: 72 hours LEC
This course is an introduction to probability and statistics. Topics include: elementary principles and applications of descriptive statistics, elementary probability principles, probability distributions, estimation of parameters, hypothesis testing, linear regression and correlation, and ANOVA. Statistical analysis using a computer statistics package or graphing calculator will be required. (Competency: Mathematics)

STAT 495

Independent Studies in Statistics    1-3 Units
Prerequisite: None
Course Transferable to CSU
Hours: 54-162 hours LAB

STAT 499

Experimental Offering in Statistics    .5-4 Units
Prerequisite: None
Course Transferable to CSU
Hours: 18 hours LEC; 54 hours LAB



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