This college-level course covers concepts such as limits, derivatives, integrals. In the first semester, students begin by reviewing logarithmic functions, trigonometric functions, and the most common ways to simplify functions. After studying limits, continuity, and the intermediate value theorem, students will learn about derivatives. These concepts of derivatives will include many different techniques of differentiation including the product and quotient rules, derivatives of logarithmic and trigonometric functions, and the chain rule. Beginning in the second semester, students will then use the concepts of derivatives to analyze functions and properties of graphs. After finishing the study of derivatives, students will learn about integrals. These concepts of integrals with include definite and indefinite integrals, the fundamental theorem of calculus, and applications of integrals to find areas and volumes. This course does not fully prepare students for the AP Calculus AB exam. A graphing calculator is not required for this course.
* Prerequisites: Pre-Calculus and Counselor Approval