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Math 142: Precalculus II

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Math 142: Precalculus II

This text prepares students for calculus sequence. Concepts, properties and algebra of trigonometric functions, including their graphs, inverses, laws of sines and cosines, identities and equations. The text also covers vectors, polar coordinates and conic sections.

Mathematics
Publisher
LibreTexts
Source
LibreTexts
Language
EN
Category
Basic Sciences
Read online Download PDF (open licence)
Contents· 74 sections
  1. 01: Academic Success Skills
  2. 1.00: The Power to Learn
  3. 1.01: It's All in the Mindset
  4. 1.02: Failure Is Not an Option
  5. 1.03: Active Learning from Lectures
  6. 1.04: Active Learning from Reading
  7. 1.05: Taking Notes
  8. 1.06: How to Manage Time
  9. 1.07: Enhanced Strategies for Time and Task Management
  10. 1.08: Goal Setting and Motivation
  11. 1.09: Test Taking and Preparation
  12. 1.10: Pre- Mid- and Post-Test-Taking Strategies
  13. 1.11: Test-Taking Strategy Specifics
  14. 02: Introduction to Trigonometry
  15. 2.00: Prelude to Trigonometric Functions
  16. 2.01: Angles - Radians and Degrees
  17. 2.02: Unit Circle - Sine and Cosine Functions
  18. 2.03: Right Triangle Trigonometry
  19. 2.04: The Other Trigonometric Functions
  20. 2.05: Arcs Angles and Trig Function Values
  21. 2.E: Trigonometric Functions (Exercises)
  22. 2.R: Trigonometric Functions (Review)
  23. 03: Periodic Functions
  24. 3.00: Prelude to Periodic Functions
  25. 3.01: Graphs of the Sine and Cosine Functions
  26. 3.02: Graphs of the Other Trigonometric Functions
  27. 3.03: Inverse Trigonometric Functions
  28. 3.E: Periodic Functions (Exercises)
  29. 3.R: Periodic Functions (Review)
  30. 04: Trigonometric Identities and Equations
  31. 4.00: Prelude to Trigonometric Identities and Equations
  32. 4.01: Solving Trigonometric Equations with Identities
  33. 4.02: Sum and Difference Identities
  34. 4.03: Double-Angle Half-Angle and Reduction Formulas
  35. 4.04: Sum-to-Product and Product-to-Sum Formulas
  36. 4.05: Solving Trigonometric Equations
  37. 4.06: Modeling with Trigonometric Equations
  38. 4.E: Trigonometric Identities and Equations (Exercises)
  39. 4.R: Trigonometric Identities and Equations (Review)
  40. 05: Applications of Trigonometry - Oblique Triangles and Polar Coordinates
  41. 5.00: Prelude to Applications of Trigonometry
  42. 5.01: Non-right Triangles - Law of Sines
  43. 5.02: Non-right Triangles - Law of Cosines
  44. 5.03: Applications of Trigonometry - Area
  45. 5.04: Polar Coordinates
  46. 5.05: Polar Coordinates - Graphs
  47. 5.06: Polar Form of Complex Numbers
  48. 5.07: Parametric Equations
  49. 5.08: Parametric Equations - Graphs
  50. 5.E: Further Applications of Trigonometry (Exercises)
  51. 5.R: Further Applications of Trigonometry (Review)
  52. 06: Vectors
  53. 6.00: Prelude to Vectors
  54. 6.01: Vectors from a Geometric Point of View
  55. 6.02: Vectors from an Algebraic Point of View
  56. 6.03: Solving Systems of Equations with Augmented Matrices
  57. 6.E: Triangles and Vectors (Exercises)
  58. 07: Analytic Geometry
  59. 7.00: Prelude to Analytic Geometry
  60. 7.01: The Ellipse
  61. 7.02: The Hyperbola
  62. 7.03: The Parabola
  63. 7.04: Rotation of Axes
  64. 7.05: Conic Sections in Polar Coordinates
  65. 7.E: Analytic Geometry (Exercises)
  66. 7.R: Analytic Geometry (Review)
  67. 08: Introduction to Calculus
  68. 8.00: Prelude to Calculus
  69. 8.01: Finding Limits - Numerical and Graphical Approaches
  70. 8.02: Finding Limits - Properties of Limits
  71. 8.03: Continuity
  72. 8.04: Derivatives
  73. 8.E: Introduction to Calculus (Exercises)
  74. 8.R: Introduction to Calculus (Review)