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Calculus 2 - Fall 2026

Nguồn ngoài

Calculus 2 - Fall 2026

This is a second course in differential and integral calculus of a single variable covering integration, techniques of integration, infinite sequences and series, polar and parametric equations, and applications of integration. This text is primarily using Active Calculus by Matthew Boelkins at GVSU and some supplements were gathered from OpenStax for trig substitution, parametric equations, and polar coordinates. (Image Credit: Active Calculus by Matt Boelkins, licensed under CC by SA 4.0)

Mathematics
Tác giả
Senorina Vazquez
Nhà xuất bản
Hartnell College
Nguồn
LibreTexts
Ngôn ngữ
EN
Danh mục
Khoa học cơ bản
Đọc trực tuyến Tải PDF (nguồn mở)
Mục lục· 57 mục
  1. 05: Active Calculus - Finding Antiderivatives and Evaluating Integrals
  2. 01: Construction Accurate Graphs of Antiderivatives
  3. 1.01: Constructing Accurate Graphs of Antiderivatives
  4. 1.02: The Second Fundamental Theorem of Calculus
  5. 1.03: Integration by Substitution
  6. 1.04: B - Trigonometric Substitution (OpenStax)
  7. 1.4.01: Exercises for Section 73
  8. 1.05: Integration by Parts
  9. 1.06: Partial Fractions for Finding Algebraic Derivatives
  10. 1.07: Numerical Integration (Simpsons Rule)
  11. 1.08: Finding Antiderivatives and Evaluating Integrals (Exercises)
  12. 06: Active Calculus - Using Definite Integrals
  13. 2.01: Using Definite Integrals to Find Area and Length
  14. 2.02: Using Definite Integrals to Find Volume
  15. 2.03: Density Mass and Center of Mass
  16. 2.04: Physics Applications - Work Force and Pressure
  17. 2.05: Improper Integrals
  18. 2.06: Using Definite Integrals (Exercises)
  19. 06: Appendices
  20. 01: A- Short Table of Integrals
  21. 02: B- Answers to Activities
  22. 03: C- Answers to Selected Exercises
  23. 04: Table of Derivatives
  24. 05: Table of Integrals
  25. 07: Active Calculus - Differential Equations
  26. 3.01: An Introduction to Differential Equations
  27. 3.02: Qualitative Behavior of Solutions to Differential Equations
  28. 3.03: Eulers Method
  29. 3.04: Separable Differential Equations
  30. 3.05: Modeling with Differential Equations
  31. 3.06: Population Growth and the Logistic Equation
  32. 3.07: Differential Equations (Exercises)
  33. 07: Back Matter - Active Calculus
  34. 7.02: Glossary
  35. Detailed Licensing
  36. 07: Back Matter - OpenStax
  37. 7.02: Glossary
  38. 08: Active Calculus - Sequences and Series
  39. 4.01: Sequences
  40. 4.02: Geometric Series
  41. 4.03: Series of Real Numbers
  42. 4.04: Alternating Series
  43. 4.05: Taylor Polynomials and Taylor Series
  44. 4.06: Power Series
  45. 4.07: Sequences and Series (Exercises)
  46. 09: OpenStax V2 Chp 7- Parametric Equations and Polar Coordinates
  47. 5.01: Prelude to Parametric Equations and Polar Coordinates
  48. 5.02: Parametric Equations
  49. 5.2.01: Exercises for Section 111
  50. 5.03: Calculus of Parametric Curves
  51. 5.3.01: Exercises for Section 112
  52. 5.04: Polar Coordinates
  53. 5.4.01: Introduction to Polar Coordinates
  54. 5.4.02: Exercises for Section 113
  55. 5.05: Area and Arc Length in Polar Coordinates
  56. 5.5.01: Exercises for Section 114
  57. 5.06: 6 Chapter Review Exercises