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Schaum's Outline of Theory and Problems of Beginning Calculus (Second Edition) by Elliott Mendelson

MathSchoolinternational.com contain houndreds of Free Math e-Books. Which cover almost all topics of mathematics. To see an extisive list of Calculus eBooks . We hope mathematician or person who’s interested in mathematics like these books. Schaum's Outline of Theory and Problems of Beginning Calculus (Second Edition) written by Elliott Mendelson, Ph.D., Professor of Mathematics, Queens College, City University of New York, New Yark.

Schaum's Outline of Theory and Problems of Beginning Calculus (Second Edition) written by Elliott Mendelson cover the following topics.

• 1. Coordinate Systems on a Line
1.1 The Coordinates of a Point
1.2 Absolute Value

• 2. Coordinate Systems in a Plane
2.1 The Coordinates of a Point
2.2 The Distance Formula
2.3 The Midpoint Formulas

• 3. Graphs of Equations

• 4. Straight Lines
4.1 Slope
4.2 Equations of a Line
4.3 Parallel Lines
4.4 Perpendicular Lines

• 5. Intersections of Graphs

• 6. Symmetry

• 7. Functions and Their Graphs

7.1 The Notion of a Function
7.2 Intervals
7.3 Even and Odd Functions
7.4 Algebra Review: Zeros of Polynomials

• 8. Limits
8.1 Introduction
8.2 Properties of Limits
8.3 Existence or Nonexistence of the Limit

• 9. Special Limits
9.1 One-Sided Limits
9.2 Infinite Limits: Vertical Asymptotes
9.3 Limits at Infinity: Horizontal Asymptotes

• 10. Continuity
10.1 Definition and Properties
10.2 One-Sided Continuity
10.3 Continuity over a Closed Interval

• 11. The Slope of a Tangent Line

• 12. The Derivative

• 13. More on the Derivative
13.1 Differentiability and Continuity
13.2 Further Rules for Derivatives

• 14. Maximum and Minimum Problems
14.1 Relative Extrema
14.2 Absolute Extrema

• 15. The Chain Rule
15.1 Composite Functions
15.2 Differentiation of Composite Functions

• 16. Implicit Differentiation

• 17. The Mean-Value Theorem and the Sign of the Derivative
17.1 Rolle's Theorem and the Mean-Value Theorem
17.2 The Sign of the Derivative

• 18. Rectilinear Motion and Instantaneous Velocity

• 19. Instantaneous Rate of Change

• 20. Related Rates

• 21. Approximation by Differentials; Newton's Method
21.1 Estimating the Value of a Function
21.2 The Differential
21.3 Newton's Method

• 22. Higher-Order Derivatives

• 23. Applications of the Second Derivative and Graph Sketching
23.1 Concavity
23.2 Test for Relative Extrema
23.3 Graph Sketching

• 24. More Maximum and Minimum Problems

• 25. Angle Measure
25.1 Arc Length and Radian Measure
25.2 Directed Angles

• 26. Sine and Cosine Functions
26.1 General Definition
26.2 Properties

• 27. Graphs and Derivatives of Sine and Cosine Functions
27.1 Graphs
27.2 Derivatives

• 28. The Tangent and Other Trigonometric Functions

• 29. Antiderivatives
29.1 Definition and Notation
29.2 Rules for Antiderivatives

• 30. The Definite Integral
30.1 Sigma Notation
30.2 Area under a Curve
30.3 Properties of the Definite Integral

• 31. The Fundamental Theorem of Calculus
31.1 Calculation of the Definite Integral
31.2 Average Value of a Function
31.3 Change of Variable in a Definite Integral

• 32. Applications of Integration I: Area and Arc Length
32.1 Area between a Curve and the y-axis
32.2 Area between Two Curves
32.3 Arc Length

• 33. Applications of Integration II: Volume
33.1 Solids of Revolution
33.2 Volume Based on Cross Sections

• 34. The Natural Logarithm
34.1 Definition
34.2 Properties

• 35. Exponential Functions
35.1 Introduction
35.2 Properties of ax
35.3 The Function ex
36.1 L'Hôpital's Rule
36.2 Exponential Growth and Decay

• 36. L'Hôpital's Rule; Exponential Growth and Decay

• 37. Inverse Trigonometric Functions
37.1 One-One Functions 292
37.2 Inverses of Restricted Trigonometric Functions

• 38. Integration by Parts

• 39. Trigonometric Integrands and Trigonometric Substitutions
39.1 Integration of Trigonometric Functions
39.2 Trigonometric Substitutions

• 40. Integration of Rational Functions; The Method of Partial Fractions

• Appendix
A Trigonometric Formulas
B Basic Integration Formulas
C Geometric Formulas
D Trigonometric Functions
E Natural Logarithms
F Exponential Functions

• Index

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