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MAT 2420 Calculus II

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MAT 2420 Calculus II

This course continues the study of single variable calculus which will include techniques of integration, analytic geometry, improper integrals, convergence of infinite numerical series and power series.

Mathematics
Publisher
LibreTexts
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 53 sections
  1. 02: Applications of Integration
  2. 2..E: 2.E: Applications of Integration (Exercises)
  3. 2.00: Prelude to Applications of Integration
  4. 2.01: Areas between Curves
  5. 2.02: Determining Volumes by Slicing
  6. 2.03: Volumes of Revolution - Cylindrical Shells
  7. 2.04: Arc Length of a Curve and Surface Area
  8. 2.05: Physical Applications of Integration
  9. 2.06: Moments and Centers of Mass
  10. 2.07: Integrals, Exponential Functions, and Logarithms
  11. 2.08: Exponential Growth and Decay
  12. 2.09: Calculus of the Hyperbolic Functions
  13. 03: Techniques of Integration
  14. 3..E: 3.E: Techniques of Integration (Exercises)
  15. 3.00: Prelude to Techniques of Integration
  16. 3.01: Integration by Parts
  17. 3.02: Trigonometric Integrals
  18. 3.03: Trigonometric Substitution
  19. 3.04: Partial Fractions
  20. 3.05: Other Strategies for Integration
  21. 3.06: Numerical Integration
  22. 3.07: Improper Integrals
  23. 04: Introduction to Differential Equations
  24. 4..E: 4.E: Introduction to Differential Equations (Exercises)
  25. 4.00: Prelude to Differential Equations
  26. 4.01: Basics of Differential Equations
  27. 4.02: Direction Fields and Numerical Methods
  28. 4.03: Separable Equations
  29. 4.04: The Logistic Equation
  30. 05: Sequences and Series
  31. 5..E: 5.E: Sequences and Series (Exercises)
  32. 5.00: Prelude to Sequence and Series
  33. 5.01: Sequences
  34. 5.02: Infinite Series
  35. 5.03: The Divergence and Integral Tests
  36. 5.04: Comparison Tests
  37. 5.05: Alternating Series
  38. 5.06: Ratio and Root Tests
  39. 06: Power Series
  40. 6..E: 6.E: Power Series (Exercises)
  41. 6.00: Prelude to Power Series
  42. 6.01: Power Series and Functions
  43. 6.02: Properties of Power Series
  44. 6.03: Taylor and Maclaurin Series
  45. 6.04: Working with Taylor Series
  46. 07: Parametric Equations and Polar Coordinates
  47. 7..E: 7.E: Parametric Equations and Polar Coordinates (Exercises)
  48. 7.00: Prelude to Parametric Equations and Polar Coordinates
  49. 7.01: Parametric Equations
  50. 7.02: Calculus of Parametric Curves
  51. 7.03: Polar Coordinates
  52. 7.04: Area and Arc Length in Polar Coordinates
  53. 7.05: Conic Sections