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Math 140: Calculus 1

Nguồn ngoài

Math 140: Calculus 1

Mathematics
Tác giả
Debbie Gaydos
Nhà xuất bản
Penn State University, Greater Allegheny
Nguồn
LibreTexts
Giấy phép
CC BY-NC-SA
Ngôn ngữ
EN
Danh mục
Khoa học cơ bản
Đọc trực tuyến Tải PDF (nguồn mở)
Mục lục· 83 mục
  1. 01: Functions and Graphs
  2. 1.00: Prelude to Functions and Graphs
  3. 1.01: Review of Functions
  4. 1.1E: Exercises for Section 1.1
  5. 1.02: Basic Classes of Functions
  6. 1.2E: Exercises for Section 1.2
  7. 1.03: Trigonometric Functions
  8. 1.3E: Exercises for Section 1.3
  9. 1.04: Inverse Functions
  10. 1.4E: Exercises for Section 1.4
  11. 1.05: Exponential and Logarithmic Functions
  12. 1.5E: Exercises for Section 1.5
  13. 1.R: Review Exercises for Chapter 1
  14. 02: Limits
  15. 2.00: Prelude to Limits
  16. 2.01: A Preview of Calculus
  17. 2.1E: Exercises for Section 2.1
  18. 2.02: The Limit of a Function
  19. 2.2E: Exercises for Section 2.2
  20. 2.03: Infinite Limits
  21. 2.04: The Limit Laws
  22. 2.4E: Exercises for Section 2.4
  23. 2.05: Limits at Infinity
  24. 2.5E: Exercises for Section 2.5
  25. 2.06: Continuity
  26. 2.6E: Exercises for Section 2.6
  27. 2.07: The Precise Definition of a Limit
  28. 2.7E: Exercises for Section 2.7
  29. 2.R: Chapter Review Exercises
  30. 03: Derivatives
  31. 3.00: Prelude to Derivatives
  32. 3.01: Defining the Derivative
  33. 3.1E: Exercises for Section 3.1
  34. 3.02: The Derivative as a Function
  35. 3.2E: Exercises for Section 3.2
  36. 3.03: Differentiation Rules
  37. 3.3E: Exercises for Section 3.3
  38. 3.04: Derivatives of Trigonometric Functions
  39. 3.4E: Exercises for Section 3.4
  40. 3.05: The Chain Rule
  41. 3.5E: Exercises for Section 3.5
  42. 3.06: Derivatives as Rates of Change
  43. 3.6E: Exercises for Section 3.6
  44. 3.07: Implicit Differentiation
  45. 3.7E: Exercises for Section 3.7
  46. 3.08: Derivatives of Exponential and Logarithmic Functions and Logarithmic Differentiation
  47. 3.8E: Exercises for Section 3.8
  48. 3.9: Derivatives of the Inverse Trigonometric Functions
  49. 3.R: Chapter 3 Review Exercises
  50. 04: Applications of Derivatives
  51. 4.00: Prelude to Applications of Derivatives
  52. 4.01: Related Rates
  53. 4.1E: Exercises for Section 4.1
  54. 4.02: Linear Approximations and Differentials
  55. 4.2E: Exercises for Section 4.2
  56. 4.03: Maxima and Minima
  57. 4.3E: Exercises for Section 4.3
  58. 4.04: Derivatives and the Shape of a Graph
  59. 4.4E: Exercises for Section 4.4
  60. 4.05: Applied Optimization Problems
  61. 4.5E: Exercises for Section 4.5
  62. 4.06: LHopitals Rule
  63. 4.6E: Exercises for Section 4.6
  64. 4.R: Chapter 4 Review Exercises
  65. 05: Integration
  66. 5.01: Approximating Areas
  67. 5.1E: Exercises for Section 5.1
  68. 5.02: The Definite Integral
  69. 5.2E: Exercises for Section 5.2
  70. 5.03: Antiderivatives
  71. 5.3E: Exercises for Section 5.3
  72. 5.04: The Fundamental Theorem of Calculus
  73. 5.4E: Exercises for Section 5.4
  74. 5.05: Substitution
  75. 5.5E: Exercises for Section 5.5
  76. 5.06: Integration Formulas and the Net Change Theorem
  77. 5.6E: Exercises for Section 5.6
  78. 5.R: Chapter 5 Review Exercises
  79. 06: Appendices
  80. 6.01: Review of Derivative Rules
  81. 6.02: Table of Derivatives
  82. 6.03: Table of Integrals
  83. 6.04: Trigonometric Identities