Math Course Descriptions

This course is one of two courses that develops mathematical topics needed for elementary school teaching with a focus on reasoning, problem solving, and communication. The topics include elementary statistics and probability, two- and three-dimensional geometry, measurement, coordinate geometry, and graphing. Meets requirements for elementary school teacher certification.

Transfers to CSU.

This course develops an understanding of the relationship of language to logic, which should lead to the ability to analyze, criticize, and advocate ideas and to reason inductively and deductively. Skills will be developed through writing as well as the formal symbolic representation of arguments.

Transfers to CSU.

This course is applicable for students whose major doesn’t dictate a specific transfer level math course. It is a survey of mathematical concepts in a variety of areas. The topics include probability, statistics, set theory, measurement, geometry, and business finance.

Transfers to CSU.

This course is applicable for business, economics and social sciences majors. This course develops an understanding of linear functions, systems of linear equations and inequalities, matrices, linear programming, mathematics of finance, sets and Venn diagrams, combinatorial techniques and an introduction to probability.

Transfers to CSU/UC.

This course presents a study of the techniques of calculus without the use of trigonometry.  It emphasizes the application of these concepts to business and management related problems. The applications of derivatives and integrals of functions including polynomials, rational, exponential and logarithmic functions are studied.

Transfers to CSU/UC.

This course uses data from disciplines including business, social sciences, psychology, life science, health science, and education to create better understanding 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.

Transfers to CSU/UC.

This course covers the theory and applications of trigonometry. The topics include definitions of circular and right triangle trigonometric functions, graphs, identities, equations, solutions of right and oblique triangles, vectors, polar coordinates, and complex numbers.

Transfers to CSU.

This course covers advanced algebra concepts beyond the scope of Intermediate Algebra specifically to prepare students for first semester Calculus.  The topics include algebraic simplifying, conics, theory and solution of equations and inequalities, systems of equations, linear functions, exponential and logarithmic functions, polynomial and rational functions, binomial expansion and partial fractions.

Transfers to CSU/UC.

Primarily for Science, Technology, Engineering & Math (STEM) Majors, this is the 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.

Transfers to CSU/UC.

Primarily for Science, Technology, Engineering & Math (STEM) Majors, this is the 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.

Transfers to CSU/UC.

Primarily for Science, Technology, Engineering & Math (STEM) Majors, this is the third course in differential and integral calculus: vector valued functions, calculus of functions of more than one variable, partial derivatives, multiple integration, Green's Theorem, Stokes' Theorem, divergence theorem.

Transfers to CSU/UC.

Primarily for Science, Technology, Engineering & Math (STEM) Majors, this 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.

Transfers to CSU/UC.

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.

Transfers to CSU/UC.

This course is designed to provide students with beginning level Algebra skills because they desire to  major in Science, Technology, Engineering & Math (STEM). This course prepares students to take Intermediate Algebra (Math 124) and covers fundamental algebraic concepts and operations.

This course does not transfer.

This course covers selected topics in geometry. The topics include congruence, similarity, parallelism, proofs, constructions, and the perimeter, area and volume of geometric figures.

This course does not transfer but will meet the AA requirement.

This course combines the concepts found in traditional beginning and intermediate algebra in an accelerated format. This course is designed to provide students with beginning and intermediate level Algebra skills because they desire to major in Science, Technology, Engineering & Math (STEM). This course prepares students to take College Algebra (Math 26) and covers fundamental algebraic concepts and operations.

This course does not transfer but will meet the AA/AS requirement.

This course is designed to provide students with preparatory skills for Introduction to Statistics (Math 18) or Liberal Arts Math (Math 11) because they intend to major in a Liberal Arts field of study.  This course covers descriptive statistics such as mean, median, mode and standard deviation, as well as, normal distribution, probability and linear and exponential modeling.

This course does not transfer but will meet the AA/AS requirement.

This course builds on the concepts and skills learned in Beginning Algebra. This course is designed to provide students with intermediate level Algebra skills because they desire to major in Science, Technology, Engineering & Math (STEM). This course prepares students to take College Algebra (Math 26) and Trigonometry (Math 20).  This course covers fundamental algebraic concepts and operations.

This course does not transfer but will meet the AA/AS requirement.

This course is a non-credit, self-paced preparatory class for all math classes offered at Butte College.