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**About this book :- **
** Schaum's Outline of Theory and Problems of Beginning Calculus (2nd Edition) ** written by
** Elliott Mendelson **.

Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!

Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you:

* Practice problems with full explanations that reinforce knowledge.

* Coverage of the most up-to-date developments in your course field.

* In-depth review of practices and applications.

**Book Detail :- **
** Title: ** Schaum's Outline of Theory and Problems of Beginning Calculus
** Edition: ** 2nd
** Author(s): ** Elliott Mendelson
** Publisher: ** McGraw-Hill
** Series: ** Schaum's outline series
** Year: ** 2008
** Pages: ** 390
** Type: ** PDF
** Language: ** English
** ISBN: ** 0071487549,9780071487542,9780071594530
** Country: ** US
** Get this book from Amazon**

**About Author :- **

The author Elliott Mendelson was born 1n 1931, is an American logician. He was a professor of mathematics at Queens College of the City University of New York, and the Graduate Center, CUNY. He was Jr. Fellow, Society of Fellows, Harvard University, 1956-58. Mendelson taught mathematics at the college level for more than 30 years, and is the author of books on logic, philosophy of mathematics, calculus, game theory and mathematical analysis.

**Other famous books of similar Author :- **

Here is list all books avaliable of this author.

** • Download PDF Schaum's Outlines Calculus (5E) by Frank Ayres, Elliott Mendelson ****
• Download PDF Schaum’s Outline Theory and Problems of Abstract Algebra (2E) by Frank Ayres, Lloyd Jaisingh
• Download PDF Schaum Differential and Integral Calculus (3E) by Frank Ayres, Elliott Mendelson
• Download PDF Schaum's Easy Outline Calculus Crash Course by Frank Ayres, Elliott Mendelson
• Download PDF Schaum's 3000 Solved Problems in Calculus by Elliot Mendelson
• Download PDF Schaum's Outline of Theory & Problems of Beginning Calculus (2E) by Elliott Mendelson
**

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**Book Contents :- **
** Schaum's Outline of Theory and Problems of Beginning Calculus (2nd 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
**

6.1 Symmetry about a Line

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

Answers to Supplementary Problem

Index

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