Click on any course to see description. Butte College 20162017 Catalog. Program details: 
Mathematics 
Transfer 
AST Degree in Mathematics 
AS Degree in Mathematics 
Mathematics Program 
Juliet Hauser, Chair (530) 8794300 
Department Office: TE 132 (530) 8952451 
Counseling and Advising: (530) 8952378 
Transfer Counseling Center: (530) 8952264 
Transfer information: www.assist.org 

About the Program 
The transfer major listed here partially reflects requirements for CSU, Chico. Students planning to transfer should contact a counselor for more information on program and transfer requirements.
AST Degree in Mathematics The Associate in Science in Mathematics for Transfer degree (AST in Mathematics) is intended for students who plan to complete a bachelor's degree in Mathematics at a CSU campus. Students completing this degree are guaranteed admission to the CSU system, but not to a particular campus or major. Students transferring to a CSU campus that does accept this degree will be required to complete no more than 60 units after transfer to earn a bachelor's degree. This degree may not be the best option for students intending to transfer to a particular CSU campus or to a university or college that is not part of the CSU system. In all cases, students should consult with a counselor for more information on university admission and transfer requirements.
The associate transfer degrees (AAT or AST) require completion and certification of the California State University General Education (CSU GE) or the Intersegmental General Education Transfer Curriculum (IGETC) as well as the specific AAT or AST major degree requirements. Students earning either an AAT or an AST will not be held to additional Butte College graduation requirements (including Physical Education and the multicultural competency). Students should work with a counselor to identify major coursework that can be used to fulfill CSU GE or IGETC categories.

To obtain an Associate's degree, students must complete both the major requirements and the graduation requirements listed in this catalog.

Note that some courses have a prerequisite (P), corequisite (C), or both (P/C). Prerequisites and corequisites are listed within each course description in that catalog. 
Transfer majors designated as AAT or AST are designed for transfer to a similar major at an unspecified CSU. Transfer majors designated as AA or AS are designed for transfer to the corresponding major at a specific CSU and are based on articulation. See a counselor for more information. Read about the difference between these types of degrees at the beginning of the Transfer section of this catalog. 

AST Degree in Mathematics

60 Units Minimum



Student Learning Outcomes 
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 problemsolving habits including estimating solutions and rejecting unreasonable results.
 Demonstrate the ability to use symbolic, graphical, numerical, and written representations of mathematical ideas.

Required courses for the major: 
19  21 Units 

 Required Core:  
Prerequisite(s): MATH 20 and MATH 26 or collegelevel precalculus  Recommended Prep: Four years of high school collegepreparatory Mathematics and Reading Level IV  Transfer Status: CSU/UC  85 hours Lecture  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. (CID MATH 210). 

Prerequisite(s): MATH 30  Recommended Prep: Reading Level IV  Transfer Status: CSU/UC  68 hours Lecture  A second course in differential and integral calculus of a single variable: integration; techniques of integration, infinite sequences and series, polar and parametric equations, applications of integration. Primarily for Science, Technology, Engineering & Math Majors. For students who have no knowledge of or access to a symbolic math program (such as MAPLE, Mathematica, Derive, or the TI89,) the mathematics department offers instruction in MAPLE (MATH 31A), which may be taken concurrently with MATH 31. (CID MATH 220). 

Prerequisite(s): MATH 31  Transfer Status: CSU/UC  68 hours Lecture  Vector valued functions, calculus of functions of more than one variable, partial derivatives, multiple integration, Green’s Theorem, Stokes’ Theorem, divergence theorem. (CID MATH 230). 
 Choose a minimum of 6 units from the Lists below with at least 3 units from List A.   List A: Select one to two  
Prerequisite(s): MATH 31  Transfer Status: CSU/UC  68 hours Lecture  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. (CID MATH 240). 

Prerequisite(s): MATH 30  Recommended Prep: MATH 31  Transfer Status: CSU/UC  51 hours Lecture  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. This course is offered only in spring. (CID MATH 250). 
 List B: Select one  
Prerequisite(s): MATH 30  Recommended Prep: High school physics  Transfer Status: CSU/UC  51 hours Lecture / 51 hours Lab  This course, intended for students majoring in physical sciences and engineering, is part of a threesemester 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. (CID PHYS 205).Graded Only. 

Recommended Prep: Reading Level IV; English Level IV; Math Level IV and CSCI 4  Transfer Status: CSU/UC  34 hours Lecture / 51 hours Lab  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 highlevel programming language. Topics include fundamental programming constructs, problemsolving strategies, debugging techniques, declaration models, and an overview of procedural and objectoriented programming languages. Students will learn to design, implement, test, and debug algorithms using pseudocode and a highlevel programming language. (CID COMP 122). 

Prerequisite(s): MATH 124  Recommended Prep: Two years of high school algebra and Reading Level IV  Transfer Status: CSU/UC  51 hours Lecture  The use of probability techniques, hypothesis testing, and predictive techniques to facilitate decisionmaking. Topics include descriptive statistics; probability and sampling distributions; statistical inference; correlation and linear regression; analysis of variance, chisquare and ttests; 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. (CID MATH 110). 



AS Degree in Mathematics

60 Units Minimum



Student Learning Outcomes 
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 problemsolving habits including estimating solutions and rejecting unreasonable results.
 Demonstrate the ability to use symbolic, graphical, numerical, and written representations of mathematical ideas.

Required courses for the major: 
23 Units 


Prerequisite(s): MATH 20 and MATH 26 or collegelevel precalculus  Recommended Prep: Four years of high school collegepreparatory Mathematics and Reading Level IV  Transfer Status: CSU/UC  85 hours Lecture  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. (CID MATH 210). 

Prerequisite(s): MATH 30  Recommended Prep: Reading Level IV  Transfer Status: CSU/UC  68 hours Lecture  A second course in differential and integral calculus of a single variable: integration; techniques of integration, infinite sequences and series, polar and parametric equations, applications of integration. Primarily for Science, Technology, Engineering & Math Majors. For students who have no knowledge of or access to a symbolic math program (such as MAPLE, Mathematica, Derive, or the TI89,) the mathematics department offers instruction in MAPLE (MATH 31A), which may be taken concurrently with MATH 31. (CID MATH 220). 

Prerequisite(s): MATH 31  Transfer Status: CSU/UC  68 hours Lecture  Vector valued functions, calculus of functions of more than one variable, partial derivatives, multiple integration, Green’s Theorem, Stokes’ Theorem, divergence theorem. (CID MATH 230). 

Prerequisite(s): MATH 31  Transfer Status: CSU/UC  68 hours Lecture  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. (CID MATH 240). 

Prerequisite(s): MATH 30  Recommended Prep: MATH 31  Transfer Status: CSU/UC  51 hours Lecture  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. This course is offered only in spring. (CID MATH 250). 

Recommended Prep: Reading Level IV; English Level IV; Math Level IV and CSCI 4  Transfer Status: CSU/UC  34 hours Lecture / 51 hours Lab  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 highlevel programming language. Topics include fundamental programming constructs, problemsolving strategies, debugging techniques, declaration models, and an overview of procedural and objectoriented programming languages. Students will learn to design, implement, test, and debug algorithms using pseudocode and a highlevel programming language. (CID COMP 122). 

