Calculus
Welcome Calculus students!
On this website you will find the homework assignments, worksheets, activities, projects, quiz and test dates, review guides and other necessary information to be successful in this course. I look forward to learning with you and benefit from a very productive school year!
Google Classroom Calculus P5 code: 25xvbes
Google Classroom Calculus P7 code: x3km2ew
SUMMER ASSIGNMENT
Turn in a physical copy of the summer assignment on Monday, August 14, 2023 Room 507
INTRODUCTION TO CALCULUS
TEXTBOOK
Use as a resource. You can get a copy at the bookstore
Finney, Demana, Waits, Kennedy, and Bressoud. Calculus: Graphical, Numerical, Algebraic
TOPICS AND OUTLINE
1. Prerequisites for Calculus: In this chapter, students review the equation of a line; describe the nature of graphs by analyzing functions, continuity and end behavior, critical points and extrema, and graph rational functions.
2. Limits and continuity: Students will define and calculate limits of function values. They will learn how to find limits by substitution, graphical investigation, numerical approximation, algebra, or some combination of these. Then they use limits to test functions for continuity.
3. Derivatives: Students learn how to find the slope of a tangent to a curve as the limit of the slopes of secant lines. They derive the formula for the slope of the tangent at an arbitrary point on the graph of a function. This shows the way to calculate rates of change of a function or what is called differential calculus. The students will learn how to find the derivative of a function as a limit and then using several rules for differentiation.
4. Applications of derivatives: This chapter shows how to draw conclusions from derivatives about the extreme values of a function and about the general shape of a function’s graph. Students see how the tangent line captures the shape of a curve near the point of tangency, how to deduce rates of change that cannot be measured from already known rates of change, and how to find a function when only its first derivative and a value at a single point are known.
5. The Definite Integral and Applications: In this chapter the students investigate areas under curves, which lead to the study of integral calculus. The students will learn how to find the integral of different functions and will use the definite integral to solve different real world situations.
IMPORTANT DOCUMENTS
CALCULUS LINKS