An advanced placement course designed for university preparatory students. This course provides instruction in the concepts of limits, continuity, derivatives, and anti-derivatives of algebraic functions. The basic concepts in algebra set theory and trigonometry are reviewed briefly before they are used to study limits. Students taking Calculus AB are expected to take Calculus BC.
Calculus BC is a full-year course in the calculus of functions of a single variable. It includes all topics covered in Calculus AB plus additional topics. Both courses (AP Calculus AB and BC) represent college-level mathematics for which most colleges grant advanced placement and credit. The content of Calculus BC is designed to qualify the student for placement and credit in a course that is one course beyond that granted for Calculus AB. The curriculum is based on the College Board guidelines. Topics included are: functions and graphs, techniques and applications of derivatives and integration, polynomial approximations, and Taylor and Maclaurin series.
This course is equivalent to the first term of a non-Calculus-based Elementary Statistics course in college. After taking this course students will be able to utilize basic statistical processes to analyze a body of data and draw inferences from it. Some of the topics discussed include: mean, median, mode, range, variance, standard deviation, least-squares regression, z-scores, the normal distribution, the chi-square distribution, the student-t distribution, and additional variance tests. The students should also be able to design a study and carry out the necessary processes to draw inferences from the study. An additional dimension of the course is to provide students with basic knowledge of probability.
Designed for college preparatory seniors who scored “not-ready” or “conditional” on the Early Assessment Program (EAP). Course topics include problem solving, linear, quadratic, exponential, logarithmic, absolute value, and piecewise functions, finance, and systems of equations and inequalities. This course provides a path for students to strengthen understanding of mathematical content defined by Common Core Standards. In addition, completion of this course allows students to enroll in college level math course at Sierra College without a placement test. For students entering California State University at Sacramento (CSUS) who score “conditional” on the EAP test, successful completion of this course eliminates the ELM testing requirement.
College preparatory course designed for students to learn the skills and proficiencies necessary to be successful in Advanced Placement Calculus. The areas of study include: the fundamentals of college-level algebra, geometric and algebraic interpretations of functions and inverse functions, linear and quadratic inequalities, rational functions, exponential and logarithmic functions and their applications, conic sections, matrices, an introduction to limits, and trigonometric functions and their properties.
College preparatory course designed for the student who may need to take a college calculus course. Students will work on becoming proficient in the following areas: fundamentals of college level algebra, geometric and algebraic interpretations of functions and inverse functions, linear and quadratic inequalities, rational functions, exponential and logarithmic functions and their applications, and trigonometric functions and their properties.