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The Calculus Study Guide

The Calculus Study Guide will help you master everything that you need to know for Calculus. It will help you to understand your calculus course completely and give you the resources that you need to improve your grades.

The Calculus Study Guide is an electronic book intended to help a student taking a first course in calculus. Included are 31 Maple worksheets, which make use of 17 interactive Maplet tutors. Several of the tutors are exclusive to this study guide. Many examples are included to show the student the types of problems that they will encounter. In addition to the worksheet examples, the provided Maplet tutors allow the student to manipulate problems and see the results instantly for easy understanding.

The 31 chapters are divided into five units as follows:

Limits Derivatives Applications of Derivatives

1. Conceptual Understanding of the Limit
2. Precise Definition of the Limit
3. Limit Laws
4. Limits of Trigonometric Functions
5. Limits at Infinity
6. Infinite Limits
7. Continuity
8. Intermediate Value Theorem
9. Conceptual Understanding of the Derivative
10. Precise Definition of the Derivative
11. Derivative Rules
12. Chain Rule
13. Derivatives of Trigonometric Functions
14. Implicit Differentiation 15. Related Rates
16. Global Analysis
17. Local Analysis
18. Graphing
19. Optimisation
20. Mean Value Theorem

Integrals

Applications of Intergrals

21. Indefinite Integrals (Antiderivatives)
22. Differential Equations
23. Riemann Sums
24. Definite Integrals
25. Fundamental Theorems of Calculus
26. Evaluating Definite Integrals with the Fundamental Theorems 27. Area of a Plane Region
28. Mean Value Theorem for Integrals
29. Volume of a Solid
30. Length of a Curve
31. Work

Chapter Introduction Exclusive Maplet Example Solution Maple-graded question

Features:

Over 600 pages of worksheets with more than 150 examples that cover all topics in an introductory calculus course
Built-in interactive tutors to demonstrate topics
Several new Maplet tutors available only with this study guide
Overviews of each topic
Hyperlinks to more than 180 definitions in the Maple Mathematics and Engineering Dictionary
Hyperlinked chapter glossaries
Hyperlinked index

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