MATHEMATICS

Associate in Science Degree: Mathematics for Transfer

The Student Transfer Achievement Reform Act (Senate Bill 1440, now codified in California Education Code sections 66746-66749) guarantees admission to a California State University (CSU) campus for any community college student who completes an “associate degree for transfer”, a newly established variation of the associate degrees traditionally offered at a California community college. The Associate in Arts for Transfer (AA-T) or the Associate in Science for Transfer (AS-T) is intended for students who plan to complete a bachelor's degree in a similar major at a CSU campus. Students completing these degrees (AA-T or AS-T) are guaranteed admission to the CSU system, but not to a particular campus or major. In order to earn one of these degrees, students must complete a minimum of 60 required semester units of CSU-transferable coursework with a minimum GPA of 2.0. Students transferring to a CSU campus that does accept the AA-T or AS-T will be required to complete no more than 60 units after transfer to earn a bachelor’s degree (unless the major is a designated “high-unit” major). This degree may not be the best option for students intending to transfer to a particular CSU campus or to university or college that is not part of the CSU system. Students should consult with a counselor when planning to complete the degree for more information on university admission and transfer requirements.

Student Learning Outcome:

Students will be able to:
Prepare for the mathematical reasoning required in upper division work in their major, including the ability to generalize concepts and comprehend increasing levels of abstraction.

Demonstrate mathematical literacy, problem solving ability, and modeling ability.

Program Requirements:

Units required: 18-21
 

    Units
Twelve to fifteen units from the following:  
     
MATH-211 Calculus I 5.0
MATH-212 Calculus II 5.0
MATH-213 Calculus III 5.0
     
Plus three units from the following:  
     
MATH-214 Linear Algebra 3.0
MATH-215 Differential Equations 3.0
     
Plus three units from the following:  
     
CMPSCI-235 C Programming 3.0
CMPSCI-236 C++ Object Oriented Programming 3.0
MATH-140 Introductory Statistics 4.0
OR    
MATH-140H Introductory Statistics - Honors 4.0
MATH-214 Linear Algebra 3.0
MATH-215 Differential Equations 3.0
CMPSCI-111 Introduction to Algorithms and Programming/Java 3.0
OR    
CMPSCI-111L Introduction to Algorithms and Programming Lab 1.0


Associate in Science Degree: Mathematics

The Mathematics program provides curriculum from basic arithmetic to algebra, statistics, linear algebra, calculus, and differential equations. These courses fulfill breadth requirements, associate degree requirements and transfer major requirements for degrees in mathematics, physics, chemistry and engineering. Many B.A./B.S. level careers require extensive background in mathematics. Virtually all two-year career programs in the business or technology fields require a solid foundation in mathematics. Examples of these career options include computer programmer, financial analyst, statistician, systems analyst, urban planner, and teacher.

Student Learning Outcome:

Students will be able to:
Prepare for the mathematical reasoning required in upper division work in their major, including the ability to generalize concepts and comprehend increasing levels of abstraction.

Demonstrate mathematical literacy, problem solving ability, and modeling ability.

Program Requirements:

Units required: 18
 

    Units
MATH-211 Calculus I 5.0
MATH-212 Calculus II 5.0
MATH-213 Calculus III 5.0
     
Plus three units from the following:  
     
MATH-140 Introductory Statistics 4.0
OR    
MATH-140H Introductory Statistics - Honors 4.0
MATH-214 Linear Algebra 3.0
MATH-215 Differential Equations 3.0
CMPSCI-111 Introduction to Algorithms and Programming/Java 3.0
PHYSIC-220 Physics for Scientists and Engineers: Mechanics of Solids and Fluids 4.0


MATH 025 ARITHMETIC - LECTURE
Units: 5.00
90.00 hours lecture
Reviews the fundamentals of addition, subtraction, multiplication, division, fractions, decimals, integers, percentages, area, volume, perimeter, systems of measurement, graphs and word problems. Units do not apply to the associate degree.


MATH 026 ARITHMETIC - COMPUTER ASSISTED
Units: 5.00
90.00 hours lecture
A computer-assisted alternative to Math 025. Reviews the fundamentals of addition, subtraction, multiplication, division, fractions, decimals, integers, percentages, area, volume, perimeter, systems of measurement, graphs and word problems. Units do not apply to the associate degree.


MATH 058 ALGEBRA PREPARATION - LECTURE
Units: 5.00
90.00 hours lecture
Prerequisite: MATH-025 or MATH-026 or appropriate math placement as determined by the COC Mathematics assessment process.

Introduces the basic elements of algebra for those who need a preparatory course before enrolling in elementary algebra. An alternative to the MATH-059 computer-assisted course. Units do not apply to the associate degree.


MATH 059 ALGEBRA PREPARATION - COMPUTER-ASSISTED
Units: 5.00
90.00 hours lecture
Prerequisite: MATH-025 or MATH-026 or appropriate math placement as determined by the COC Mathematics assessment process.

A computer-assisted introduction to the basic elements of algebra for those who need a preparatory course before enrolling in elementary algebra. An alternative to Math 058 lecture course. Units do not apply to the associate degree.


MATH 060 ELEMENTARY ALGEBRA
Units: 5.00
90.00 hours lecture
Prerequisite: MATH-058 or MATH-059 or appropriate math placement as determined by the COC Mathematics assessment process.

Designed to develop beginning algebra skills, including the fundamental concepts of operating within the real number system, working with first degree equations in one unknown, identifying and evaluating functions, factoring of and multiplication of polynomials, and working with algebraic fractions, linear equations and graphs, systems of linear equalities, exponents and radicals, quadratic equations, and applications. Units do not apply to the associate degree.


MATH 070 INTERMEDIATE ALGEBRA
Units: 5.00
90.00 hours lecture
Prerequisite: MATH-060 or appropriate math placement as determined by the COC assessment process.

Examines higher degree and rational equations and inequalities, functions and graphs, systems of equations, exponential and logarithmic functions, introduction to sequences, and applications.


MATH 075 INTERMEDIATE ALGEBRA FOR STATISTICS
Units: 5.00
90.00 hours lecture
Prerequisite: MATH-058 or MATH-059 or MATH-060 or appropriate math placement as determined by the COC Mathematics assessment process.

Introduces intermediate algebra topics and the basic elements of exploratory data analysis. (Advisory: This class is not intended as preparation for calculus. It is a prerequisite for only those students wanting to take Math 111, Math 130, or Math 140. Those students needing Math 103 or Math 104 need to take Math 060 and Math 070.)


MATH 083 GEOMETRY
Units: 5.00
90.00 hours lecture
Prerequisite: MATH-060 or appropriate math placement as determined by the COC Mathematics assessment process.

Explains geometric theory and concepts, and their application to the solutions of practical geometric problems.


MATH 102 TRIGONOMETRY
Units: 3.00
CSU 72.00 hours lecture
Prerequisite: MATH-070 and MATH-083 or appropriate math placement as determined by the COC Mathematics assessment process.

Examines circular and trigonometric functions, inverse trigonometric functions, identities, trigonometric equations, solutions of triangles, complex numbers, vectors, and applications.


MATH 103 COLLEGE ALGEBRA
Units: 4.00
UC:CSU 90.00 hours lecture
Prerequisite: MATH-070 or appropriate math placement as determined by the COC Mathematics assessment process.

Linear and non-linear algebraic relations and functions, conic sections, exponential and logarithmic functions, matrices and determinants, complex numbers and selected topics from theory of equations, sequences and series. UC credit limitation: MATH-103 and MATH-104 combined, maximum credit one course.


MATH 104 PRECALCULUS
Units: 5.00
UC:CSU 90.00 hours lecture
Prerequisite: MATH-102 or appropriate math placement as determined by the COC Mathematics assessment process.

Topics include but are not limited to: equations, inequalities, functions, systems of equations, conic sections, roots of polynomial equations and an introduction to limits. UC credit limitation: MATH-103 and MATH-104 combined, maximum credit one course.


MATH 111 FINITE MATH
Units: 4.00
UC:CSU 90.00 hours lecture
Prerequisite: MATH-070 or MATH-075 or appropriate math placement as determined by the COC Mathematics assessment process.

Introduces math concepts related to game theory, linear algebra, finance, logic, probability and statistics.


MATH 130 MATH FOR ELEMENTARY SCHOOL TEACHERS
Units: 3.00
UC:CSU 54.00 hours lecture
Prerequisite: MATH-070 or MATH-075 or appropriate math placement as determined by the COC Mathematics assessment process.

Introduces number theory, problem solving techniques, and the development, structure and history of the real number system. (Designed primarily for students intending to teach at the elementary or junior high school level.)


MATH 140 INTRODUCTORY STATISTICS
Units: 4.00
UC:CSU 90.00 hours lecture
Prerequisite: MATH-070 or MATH-075 or appropriate math placement as determined by the COC Mathematics assessment process.

Examines statistical methods including empirical and theoretical frequency distributions, sampling, estimation, hypothesis testing, correlation, regression, probability, counting techniques and computer-based statistical software. UC credit limitation: ECON-291, MATH-140, MATH-140H, PSYCH-104 and SOCI-137 combined, maximum credit one course.


MATH 140H INTRODUCTORY STATISTICS - HONORS
Units: 4.00
UC:CSU 90.00 hours lecture
Prerequisite: MATH-070 or MATH-075 or appropriate math placement as determined by the COC Mathematics assessment process.

Examines statistical methods including empirical and theoretical frequency distributions, sampling, estimation, hypothesis testing, correlation, regression, probability, counting techniques and computer-based statistical software. Honors work challenges students to be more analytical through expanded assignments involving critical analysis of peer-reviewed journals and primary scientific literature. UC credit limitation: ECON-291, MATH-140, MATH-140H, PSYCH-104 and SOCI-137 combined, maximum credit one course.


MATH 211 CALCULUS I
Units: 5.00
UC:CSU 90.00 hours lecture
Prerequisite: MATH-104, MATH-102 and MATH-103 if completed prior to Fall 2007, or appropriate math placement as determined by the COC Mathematics assessment process.

Introduces limits, derivatives and integrals, as well as applications including rate of change, maxima-minima, curve sketching, and area problems.


MATH 212 CALCULUS II
Units: 5.00
UC:CSU 90.00 hours lecture
Prerequisite: MATH-211

Presents differentiation and integration of transcendental functions, techniques of integration, improper integrals, infinite series, and applications.


MATH 213 CALCULUS III
Units: 5.00
UC:CSU 90.00 hours lecture
Prerequisite: MATH-212

Presents vectors and vector calculus, functions of several variables, partial derivatives, multiple integrals, line and surface integrals, Green's Theorem, the Divergence Theorem, Stokes' Theorem.


MATH 214 LINEAR ALGEBRA
Units: 3.00
UC:CSU 72.00 hours lecture
Prerequisite: MATH-211

Presents linear algebra including real vector spaces, inner product spaces, linear transformations, matrices, determinants and eigenvalues.


MATH 215 DIFFERENTIAL EQUATIONS
Units: 3.00
UC:CSU 72.00 hours lecture
Prerequisite: MATH-213

Presents ordinary differential equations, systems of linear differential equations, the Laplace transform, numerical methods, series solutions and applications.


MATH 240 MATH ANALYSIS FOR BUSINESS AND SOCIAL SCIENCE
Units: 5.00
UC:CSU 90.00 hours lecture
Prerequisite: MATH-103

Covers main topics of calculus as applied to business and social science. Topics include limits of functions, derivatives of functions, and integrals of functions.


Planned Course Offerings 2011-2013

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