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
9.
Conceptual Understanding of the
Derivative
15.
Related Rates
2.
Precise Definition of the Limit
10.
Precise Definition of the Derivative
16.
Global Analysis
3.
Limit Laws
11.
Derivative Rules
17.
Local Analysis
4.
Limits of Trigonometric Functions
12.
Chain Rule
18.
Graphing
5.
Limits at Infinity
13.
Derivatives of Trigonometric Functions
19.
Optimization
6.
Infinite Limits
14.
Implicit Differentiation
20.
Mean Value Theorem
7.
Continuity
8.
Intermediate Value Theorem
Integrals
Applications of Integrals
21.
Indefinite Integrals (Antiderivatives)
27.
Area of a Plane Region
22.
Differential Equations
28.
Mean Value Theorem for Integrals
23.
Riemann Sums
29.
Volume of a Solid
24.
Definite Integrals
30.
Length of a Curve
25.
Fundamental Theorems of Calculus
31.
Work
26.
Evaluating Definite Integrals with
the Fundamental Theorems
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
Over 100 Maple-graded questions
using the Maple T.A. Integration feature of Maple
12
Free-form
entry of responses, instant feedback, and hints
Questions
contain randomly generated components, so that
the questions are different every time
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
