Exercises and Problems in Calculus by John M. Erdman

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About this book :-
This book is a set of exercises and problems for a beginning calculus sequence. The flood of elementary calculus texts published in the past half century shows, if nothing else, that the topics discussed in a beginning calculus course can be covered in virtually any order. The divisions into chapters in these notes, the order of the chapters, and the order of items within a chapter is in no way intended to reflect opinions.

Book Detail :-
This book has following details information.
Title: Exercises and Problems in Calculus by John M. Erdman by NA
Publisher: Portland State University
Series: FreeCompBooks
Year: 2013
Pages: 706
Type: PDF
Language: English
ISBN-10 #: N/A
ISBN-13 #: N/A
Country: Pakistan
License: N\A
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About Author :-
The author NA NA

Book Contents :-
conver the following topics.
Part 1. Preliminary Material 1. Inequalities And Absolute Values 2. Lines in the plane 3. Functions Part 2. Limits and Continuity 4. Limits 5. Continuity Part 3. Differentiation of Functions of a Single Variable 6. Definition of the derivative 7. Techniques of differentiation 8. The mean value theorem 9. L’h ˆopital’s rule 10. Monotonicity and concavity 11. Inverse functions 12. Applications of the derivative Part 4. Integration of Functions of a Single Variable 13. The riemann integral 14. The fundamental theorem of calculus 15. Techniques of integration 16. Applications of the integral Part 5. Sequences and Series 17. Approximation by polynomials 18. Sequences of real numbers 19. Infinite series 20. Convergence tests for series 21. Power series Part 6. Scalar Fields and Vector Fields 22. Vector and Metric Properties of Rn 23. Limits of Scalar Fields Part 7. Differentiation of Functions of Several Variables 24. Partial derivatives 25. Gradients of scalar fields and tangent planes 26. Matrices and determinants 27. Linear maps 28. Definition of derivative 29. Differentiation of functions of several variablles 30. More applications of the derivative Part 8. Parametrized Curves 31. Parametrized curves 32. Acceleration and curvature Part 9. Multiple Integrals 33. Double integrals 34. Surfaces 35. Surface area 36. Triple integrals 37. Change of variables in an integral 38. Vector fields Part 10. The Calculus of Differential Forms 39. Differential forms 40. The exterior differential operator 41. The hodge star operator 42. Closed and exact differential forms Part 11. The Fundamental Theorem of Calculus 43. Manifolds and orientation 44. Line integrals 45. Surface integrals 46. Stokes’ theorem

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