Calculus I Essentials
Published on 1. January 2013
106 pages
978-0-7386-7039-3 (ISBN)
Description
REA's Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise, comprehensive study guides summarize the essentials of the field covered. Essentials are helpful when preparing for exams, doing homework and will remain a lasting reference source for students, teachers, and professionals. Calculus I covers functions, limits, basic derivatives, and integrals.
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M. Fogiel
Calculus: v. 1
Book
09/1987
Research & Education Association,U.S.
€26.14
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Content
- Intro
- These "Little Books" have rescued lots of grades and more!
- Title Page
- Copyright Page
- What REA's Essentials® Will Do for You
- Table of Contents
- CHAPTER 1 - FUNDAMENTALS
- 1.1 NUMBER SYSTEMS
- 1.2 INEQUALITIES
- 1.3 ABSOLUTE VALUE
- 1.4 SET NOTATION
- 1.5 SUMMATION NOTATION
- 1.6 MATHEMATICAL INDUCTION
- CHAPTER 2 - FUNCTIONS
- 2.1 FUNCTIONS
- 2.2 COMBINATION OF FUNCTIONS
- 2.3 PROPERTIES OF FUNCTIONS
- 2.4 GRAPHING A FUNCTION
- 2.5 LINES AND SLOPES
- 2.6 PARAMETRIC EQUATIONS
- CHAPTER 3 - TRANSCENDENTAL FUNCTIONS
- 3.1 TRIGONOMETRIC FUNCTIONS
- 3.2 INVERSE TRIGONOMETRIC FUNCTIONS
- 3.3 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
- CHAPTER 4 - LIMITS
- 4.1 DEFINITION
- 4.2 THEOREMS ON LIMITS
- 4.3 ONE-SIDED LIMITS
- 4.4 SPECIAL LIMITS
- 4.5 CONTINUITY
- CHAPTER 5 - THE DERIVATIVE
- 5.1 THE DEFINITION AND -METHOD
- 5.2 RULES FOR FINDING THE DERIVATIVES
- 5.3 IMPLICIT DIFFERENTIATION
- 5.4 TRIGONOMETRIC DIFFERENTIATION
- 5.5 INVERSE TRIGONOMETRIC DIFFERENTIATION
- 5.6 EXPONENTIAL AND LOGARITHMIC DIFFERENTIATION
- 5.7 HIGH ORDER DERIVATIVES
- CHAPTER 6 - APPLICATIONS OF THE DERIVATIVE
- 6.1 ROLLE'S THEOREM
- 6.2 THE MEAN VALUE THEOREM
- 6.3 L'HÔPITAL'S RULE
- 6.4 TANGENTS AND NORMALS
- 6.5 MINIMUM AND MAXIMUM VALUES
- 6.6 CURVE SKETCHING AND THE DERIVATIVE TESTS
- 6.7 RECTILINEAR MOTION
- 6.8 RATE OF CHANGE AND RELATED RATES
- CHAPTER 7 - THE DEFINITE INTEGRAL
- 7.1 ANTIDERIVATIVES
- 7.2 AREA
- 7.3 DEFINITION OF DEFINITE INTEGRAL
- 7.4 PROPERTIES OF THE DEFINITE INTEGRAL
- 7.5 THE FUNDAMENTAL THEOREM OF CALCULUS
- 7.6 INDEFINITE INTEGRAL
- CHAPTER 8 - COMBINATIONS AND PERMUTATIONS
- DEFINITIONS
- COMBINATIONS
- PRINCIPLE OF CHOICE
- PERMUTATIONS
- APPENDIX
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