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 |
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| 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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