About the Program
Students completing Associate Degrees for Transfer are guaranteed admission to the CSU system. Please see the beginning of the “Academic Programs” section for details.
The degree is designed to prepare students for upper division study in Mathematics and related disciplines. The role of Mathematics is vital and growing, providing solutions to problems in a wide range of fields. Mathematics is a study in its own right. It is also an essential tool for expressing and understanding ideas in the sciences: social, biological, physical, behavioral, and management. As a result, employment opportunities for Math Majors have been expanding in recent years. To begin this degree students must either have completed the prerequisites for Math 30 (Calculus 1) which include Trigonometry and College Algebra, or receive a qualifying placement on the CAP tool.
Mathematics graduates at the bachelor's level are qualified to pursue a career in fields such as mathematics, engineering, statistics, operations research, actuarial science, business management, law enforcement, military science, government, and education. They also frequently enter graduate programs to pursue advanced degrees in Mathematics or related majors.
Program Requirements
For current program requirements -> 2024-2025
Program Goal: Transfer
GE Pattern(s): CSU, IGETC
Program Code: 31953.01AS-T
Program Learning Outcome(s):
Upon successful completion of this program, the student will be able to:
Define, understand, and apply concepts of limits, differentiation, and integration to authentic problems.
Apply methods of matrix transformations to solve both practical and theoretical problems.
Determine whether a theorem or definition applies in a given situation and use it appropriately.
Demonstrate good problem-solving habits including estimating solutions and rejecting unreasonable results.
Demonstrate the ability to use symbolic, graphical, numerical, and written representations of mathematical ideas.
Prerequisite(s): MATH 20 and MATH 26 or college-level Pre-calculus
Unit(s): 5.00
Transfer Status: CSU/UC
Contact Hours:
85.00 hours Lecture
Total Course Hours: 85.00
A first course in differential and integral calculus of a single variable: functions, limits and continuity, techniques and applications of differentiation and integration, Fundamental Theorem of Calculus. Primarily for Science, Technology, Engineering & Math Majors. (C-ID MATH 210).
Prerequisite(s): MATH 30
Unit(s): 4.00
Transfer Status: CSU/UC
Contact Hours:
68.00 hours Lecture
Total Course Hours: 68.00
This course is the second of a series in differential and integral calculus of a single variable. Topics will include the concept, techniques and applications of integration, infinite sequences and series, as well as polar and parametric equations. Intended for Science, Technology, Engineering & Math Majors. (C-ID MATH 220).
Prerequisite(s): MATH 31
Unit(s): 4.00
Transfer Status: CSU/UC
Contact Hours:
68.00 hours Lecture
Total Course Hours: 68.00
Vector valued functions, calculus of functions of more than one variable, partial derivatives, multiple integration, Green???s Theorem, Stokes??? Theorem, divergence theorem. (C-ID MATH 230).
Prerequisite(s): MATH 31
Unit(s): 4.00
Transfer Status: CSU/UC
Contact Hours:
68.00 hours Lecture
Total Course Hours: 68.00
The course is an introduction to ordinary differential equations including both quantitative and qualitative methods as well as applications from a variety of disciplines. Introduces the theoretical aspects of differential equations, including establishing when solution(s) exist, and techniques for obtaining solutions, including, series solutions, and singular points, Laplace transforms and linear systems. (C-ID MATH 240).
Prerequisite(s): MATH 30
Unit(s): 3.00
Transfer Status: CSU/UC
Contact Hours:
51.00 hours Lecture
Total Course Hours: 51.00
This course develops the techniques and theory needed to solve and classify systems of linear equations. Solution techniques include row operations, Gaussian elimination, and matrix algebra. Investigates the properties of vectors in two and three dimensions, leading to the notion of an abstract vector space. Vector space and matrix theory are presented including topics such as inner products, norms, orthogonality, eigenvalues, eigenspaces, and linear transformations. Selected applications of linear algebra are included. (C-ID MATH 250).
Unit(s): 3.00
Transfer Status: CSU/UC
Contact Hours:
34.00 hours Lecture
/ 51.00 hours Lab
Total Course Hours: 85.00
This course is an introduction to the discipline of computer science, with a focus on the design and implementation of algorithms to solve simple problems using a high-level programming language. Topics include fundamental programming constructs, problem-solving strategies, debugging techniques, declaration models, and an overview of procedural and object-oriented programming languages. Students will learn to design, implement, test, and debug algorithms using pseudocode and a high-level programming language. (C-ID COMP 122).
Prerequisite(s): MATH 30
Unit(s): 4.00
Transfer Status: CSU/UC
Contact Hours:
51.00 hours Lecture
/ 51.00 hours Lab
Total Course Hours: 102.00
This course, intended for students majoring in physical sciences and engineering, is part of a three-semester course whose contents may be offered in other sequences or combinations. Core topics include an introduction to kinematics, dynamics, work and energy, momentum, gravitation and simple harmonic motion. It is highly recommended that students also enroll in PHYS 51. Graded only. (C-ID PHYS 205).
Prerequisite(s): Intermediate Algebra or equivalent
Unit(s): 4.00
Transfer Status: CSU/UC
Contact Hours:
34.00 hours Lecture
Total Course Hours: 34.00
This course is a guided investigation of how to summarize and interpret data to facilitate decision making in a responsible and repeatable way. The use of symbolic manipulation of data, probability techniques, hypothesis testing, and predictive techniques to facilitate decision-making will be emphasized. Topics include data visualization; descriptive statistics; probability and sampling distributions; statistical inference; correlation and linear regression; analysis of variance, chi-square and t-tests; and application of technology for statistical analysis including the interpretation of the relevance of the statistical findings. Applications using data from a broad range of disciplines within the physical and social sciences. This course emphasizes in-class activities and applications. (C-ID MATH 110)
Prerequisite(s): Intermediate Algebra or equivalent
Unit(s): 4.00
Transfer Status: CSU/UC
Contact Hours:
68.00 hours Lecture
Total Course Hours: 68.00
The use of probability techniques, hypothesis testing, and predictive techniques to facilitate decision-making. Topics include descriptive statistics; probability and sampling distributions; statistical inference; correlation and linear regression; analysis of variance, chi-square and t-tests; and application of technology for statistical analysis including the interpretation of the relevance of the statistical findings. Applications using data from disciplines including business, social sciences, psychology, life science, health science, and education. (C-ID MATH 110).
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Contacts
Brooke Kennedy, Chair
(530) 895-2272
Department Office: MATH 104
(530) 895-2451
Counseling and Advising:
(530) 895-2378
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