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Mathematics

Science, Math and Engineering Division

MATH-A BEGINNING ALGEBRA
5 units: 5 hours lecture.
Prerequisite: MATH-80 or MATH-83.
Advisories: ENGL-A, ENGL-41.
This course covers the basic operations of addition, multiplication, division, squaring, and taking the square root of real numbers and algebraic expressions. It also includes solving and graphing first and second degree equations, inequalities and systems of linear equations, factoring and simplifying fractions, radicals, exponents, irrational expressions, and complex fractions. Mathematical terminology and written problems will be emphasized throughout the course. (3/01)

MATH-B APPLIED MATHEMATICS
5 units: 5 hours lecture.
Prerequisite: MATH-80 or MATH-83.
Advisories: ENGL-A, ENGL-41.
This course will explore mathematical applications from various vocational and technical areas. It can be taken by a non-vocational student. It is intended for those who have not had algebra, or need a review of their beginning algebra skills. It will be an intense course covering measurement, basic algebra, plane and solid geometry, trigonometry, and graphs. Assignments will be application-oriented as these topics are covered. Some sections of this course may be taught with a lab component. If so, students would need to register concurrently for a separate math lab course. (2/02)

MATH-C INTERMEDIATE ALGEBRA
5 units: 5 hours lecture.
Prerequisite: MATH-A or MATH-B. Advisories: ENGL-A, ENGL-41.
This course covers the algebra of real numbers using set notation and the real number line, functions and graphs, polynomials, rational expressions and equations, first and second degree equations and inequalities, exponents and roots, radical expressions and equations, systems of equations in two or three unknowns, introductions to matrices and determinants, conic sections, and exponential and logarithmic equations. (3/01)

MATH-D BASIC TECHNICAL MATHEMATICS
5 units: 5 hours lecture.
Prerequisite: MATH-A or MATH-B. Advisories: ENGL-A, ENGL-41.
This is a course in intermediate algebra and basic trigonometry which is designed to meet the needs of students in technical or engineering technology fields. Applications are stressed throughout and are drawn from a variety of vocational and technical areas. (2/01)

MATH-02 COLLEGE ALGEBRA AND TRIGONOMETRY
(CAN MATH 16)
(CSU breadth area B4) 4 units: 4 hours lecture.
Prerequisite: MATH-C or MATH-D.
Limitation on enrollment: This course is not open to students having credit in MATH-17, MATH -25, or MATH-26. Advisories: ENGL-A, ENGL-41.
This course covers the system of real numbers, functions, trigonometric functions, the complex numbers, theory of equations, system of equations, matrices, composite and inverse functions, trigonometric equations, topics in analytic geometry, and vectors. (11/03)

MATH-04A ANALYTICAL GEOMETRY AND CALCULUS
(CAN MATH 18)
(CSU breadth area B4) 4 units: 4 hours lecture.
Prerequisite: MATH-02, or MATH-25 and MATH-26.
Advisories: ENGL-A, ENGL-41.
This course covers limits, continuity, differentiation and integration of algebraic and trigonometric functions along with their respective applications. (3/00)

MATH-04B ANALYTICAL GEOMETRY AND CALCULUS
(CAN MATH 20)
4 units: 4 hours lecture.
Prerequisite: MATH-04A. Advisories: ENGL-A, ENGL-41.
This course is a continuation of MATH-04A to conic sections, transcendental functions, methods of integration, hyperbolic functions, improper integrals, Taylor's Formula, infinite series, and plane curves and polar coordinates. (3/00)

MATH-04C ANALYTICAL GEOMETRY AND CALCULUS
(CAN MATH 22)
4 units: 4 hours lecture.
Prerequisite: MATH-04B. Advisories: ENGL-A, ENGL-41.
This course covers vectors and solid analytic geometry, vector-valued functions, partial differentiation, multiple integrals, and topics in vector calculus including Green's and Stokes' theorems. (3/00)

MATH-05A APPLIED CALCULUS (CAN MATH 30)
(CSU breadth area B4) 3 units: 3 hours lecture.
Prerequisite: MATH-02, or MATH-25 and MATH-26.
Advisories: ENGL-A, ENGL-41.
This course is designed for the beginning calculus student majoring in the life sciences and/or students majoring in the areas of business, economics, management, and the social sciences. Students majoring in mathematics, engineering, or physical science should enroll in a more rigorous calculus series. This course will cover functions, differentiation, and exponential and natural logarithms, but the emphasis will be on using these topics as tools to solve applied problems in the areas listed above. (3/00)

MATH-05B APPLIED CALCULUS
(CSU breadth area B4) 3 units: 3 hours lecture.
Prerequisite: MATH-05A or MATH-04A.
Advisories: ENGL-A, ENGL-41.
This course is a continuation of MATH-05A, the study of beginning calculus, for the student majoring in the areas of business, economics, management, and the social sciences. The major topic of this course is the study of integration and the applications of integration in the areas described above. Other topics include trigonometry, differential equations, probability, Taylor polynomials and Infinite series. This course is not intended for the student majoring in mathematics, engineering, or the physical sciences. (3/00)

MATH-06 ELEMENTARY DIFFERENTIAL EQUATIONS
(CAN MATH 24)
3 units: 3 hours lecture.
Prerequisite: MATH-04C.
Advisories: ENGL-A, ENGL-41; MATH-08.
This course covers definitions, eliminations of arbitrary constants, equations of order one, elementary applications, linear differential equations, non-homogeneous equations, linear systems, the Laplace transforms, the power series method, numerical methods and Fourier series. (11/00)

MATH-08 LINEAR ALGEBRA (CAN MATH 26)
3 units: 3 hours lecture.
Prerequisite: MATH-02, or MATH-25 and MATH-26.
Advisories: ENGL-A, ENGL-41.
This course is suggested for computer science, engineering, math, and science majors. It is an introduction to systems of linear equations, matrix and determinant operations, vector spaces, linear transformations, eigenvalues, and eigenvectors with a strong emphasis on applications. (3/00)

MATH-10 ELEMENTARY STATISTICS (CAN STAT 2)
(CSU breadth area B4) 3 units: 3 hours lecture.
Prerequisite: MATH-C or MATH-D. Advisories: ENGL-A, ENGL-41.
This course covers descriptive statistics, including organization and presentation of data; elementary probability including permutations, combinations, binomial and normal distributions; inferential statistics, including random sampling, hypothesis testing, regression, and correlation and chi-square distribution. (3/00)

MATH-12 FORTRAN PROGRAMMING
(Also: CPSC-12 and ENGR-12)
3 units: 2 hours lecture, 3 hours lab.
Prerequisite: MATH-02, or MATH-25 and MATH-26.
Advisories: ENGL-A, ENGL-41.
This course teaches students to use the FORTRAN programming language to solve problems in a wide variety of areas. Program design, problem-solving, and debugging techniques are emphasized throughout the course. (3/00)

MATH-14 C++ PROGRAMMING (Also: ENGR-14)
3 units: 2 hours lecture, 3 hours lab.
One-way corequisite: MATH-02, or MATH-25 and MATH-26.
Advisories: ENGL-A, ENGL-41.
This is the entry-level comprehensive concepts course for computer science majors, and is recommended for science and math majors. Algorithm design, logic diagrams, problem-solving, coding, and debugging are emphasized using a structured language such as C++. (3/00)

MATH-15 FINITE MATHEMATICS (CAN MATH 12)
(CSU breadth area B4) 3 units: 3 hours lecture.
Prerequisite: MATH-C or MATH-D. Advisories: ENGL-A, ENGL-41.
This course covers algebra review, linear models, systems of linear equations, matrices, linear programming, mathematics of finance, set theory, and probability. This course includes applications to business, economics, psychology, and sociology. (3/00)

MATH-17 PRE-CALCULUS TECHNICAL MATHEMATICS
4 units: 4 hours lecture.
Prerequisite: MATH-C or MATH-D. Advisories: ENGL-A, ENGL-41.
This is a pre-calculus mathematics course designed for students considering a career in a technical or engineering technical field. Topics include algebraic and transcendental functions, right-angle trigonometry, trigonometric functions, vectors, formulas and identities, complex numbers, analytic geometry, sequences and series, and an introduction to statistics. Technical applications will be stressed throughout the course. (2/01)

MATH-20A BASIC STRUCTURE OF MATHEMATICS I CAN MATH 4)
(CSU breadth area B4) 3 units: 3 hours lecture.
Prerequisite: MATH-C or MATH-D. Advisories: ENGL-A, ENGL-41.
This course is designed to complete the first course of a two-course sequence in basic concepts of mathematics required for the liberal studies major and the elementary teaching credential. It covers elementary set theory, numeration systems, number theory, the set of integers, the set of rational numbers, and the set of real numbers. (3/00)

MATH-20B BASIC STRUCTURE OF MATHEMATICS II
(CSU breadth area B4) 3 units: 3 hours lecture.
Prerequisite: MATH-C or MATH-D.
Advisories: ENGL-A, ENGL-41; MATH-20A.
This course is designed to complete the second course of a two-course sequence in basic concepts of mathematics required for the liberal studies major and the elementary teaching credential. This course covers the structure of plane and solid geometry, measure, introduction to coordinate geometry, elementary probability, and statistics. (3/00)

MATH-21 INTRODUCTION TO MATHEMATICAL REASONING
(CAN MATH 2)
(CSU breadth area B4) 3 units: 3 hours lecture.
Prerequisite: MATH-C or MATH-D. Advisories: ENGL-A, ENGL-41.
This course is for the general student, such as a student majoring in University Studies. It will explore the mathematics involved in a variety of general topics from other disciplines. Rather than mere manipulations, the use of mathematics will be stressed as a tool to achieve other goals and to solve applied problems. Topics will include a history of mathematics, logic, number theory, geometry, consumer mathematics, probability, and statistics. This course is not designed for students entering elementary school teaching. (11/03)

MATH-25 TRIGONOMETRY (CAN MATH 8)
(CSU breadth area B4) 3 units: 3 hours lecture.
Prerequisite: MATH-C or MATH-D.
Limitations on Enrollment: This course is not open to students having credit in MATH-02 or MATH-17.
Advisories: ENGL-A, ENGL-41.
This course is a review of right triangle geometry, real numbers, functions and graphs, trigonometric functions and their graphs, identities, inverse trigonometry functions, trigonometric equations, right angle trigonometry, the laws of sines and cosines, and application of polar and rectangular forms, including vectors and complex numbers. (2/02)

MATH-26 COLLEGE ALGEBRA (CAN MATH 10)
(CSU breadth area B4) 3 units: 3 hours lecture.
Prerequisite: MATH-C or MATH-D. (Note: This course is not open to students having credit in MATH-02.)
This is an advanced course in algebra including the study of real numbers, polynomials, equations and inequalities, factoring, rational expressions, exponents, roots, radicals, systems of equations, functions (including logarithmic and exponential) sequences and series, progressions and the binomial expansion. (3/00)

MATH-49ABCDEF (1-2) LABORATORY EXPERIENCE IN MATHEMATICS
(TRANSFER-LEVEL)

0.5 - 1 unit: 1.5 - 3 hours lab.
Prerequisite: MATH-C or MATH-D. Advisories: ENGL-A, ENGL-41.
This course provides individualized instruction and technology-based mathematics instruction at the lower-division college level. Technological applications may include a combination of work on computer algebra systems, graphing calculators, interactive CD-ROM, and computer tutorials and/or videotapes on mathematics subjects. Sections of MATH-49 may be scheduled to augment and enhance specific transfer-level math classes, or they may be offered independently of other math courses. Topics will enhance critical thinking, visualization of mathematical concepts, and/or computational skills. Each letter (i.e., ABCDEF) may be taken only once. (3/04)

MATH-59ABC (1-2) LABORATORY EXPERIENCE IN MATHEMATICS
(NON-TRANSFER LEVEL)

.5 - 1 unit: 1.5 - 3 hours lab. Prerequisite: MATH-80.
One-way corequisite: MATH-A, MATH-B, MATH-C, or MATH-D.
This course provides individualized instruction and technology-based instruction to augment courses in beginning or intermediate algebra. Technological applications may include a combination of work on computer algebra systems, interactive CD-ROM, and computer tutorials and/or videotapes on mathematics subjects. Topics will be tailored to the supported course and will enhance critical thinking, visualization of mathematical concepts and/or computational skills. Each letter (i.e., ABC) may be taken only once. (3/04)


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