Pre-Calculus Math 1B

Watch the Pre-Calculus course Math 1B from UC Irvine by Dr. Sarah Eichhorn and Dr. Rachel Lehman. License: Creative Commons Attribution-NonCommercial-ShareAlike 3.0. Lectures 52, 106, and 107 are purely administrative. They are not mathematical and have been left out.

 

Videos


  1. Administrative
  2. Intro to Conic Sections
  3. Algebra and Geometry Review
  4. Properties of Integer Exponents
  5. Increasing, Decreasing, and Constant Functions

  6. Half-Angle Identities, Part 1
  7. Half-Angle Identities, Part 2
  8. Graph Transformations, Part 1
  9. Graph Transformations, Part 2
  10. Graphing a Rational Function with a Slant Asymptote

  11. Graphing a Rational Function with Holes
  12. Graphing a Rational Function
  13. Graphing a Parabola, Part 1
  14. Graphing a Parabola, Part 2
  15. Logarithmic Graphs

  16. Graphing a Line
  17. Exponential Graphs
  18. Piecewise-Defined Functions
  19. Evaluating Logarithmic Expressions
  20. Factoring by Grouping

  21. Factoring a Quadratic Expression
  22. Factor Theorem
  23. Finding the Inverse of a Function
  24. Functions and the Vertical Line Test
  25. Converting Between Degrees-Minutes-Seconds and Degrees

  26. Converting Between Degrees and Radians
  27. Difference Quotient
  28. Discriminant
  29. Distance in the Plane
  30. Dividing Rational Expressions

  31. Domain
  32. Domain and Intercepts
  33. Finding the Domain and Range from a Graph
  34. Distance-Rate-Time
  35. Equations of Quadratic Functions

  36. Evaluating Functions
  37. Change of Base Formula for Logarithms
  38. Circle Equations
  39. Simplifying Fractions
  40. Composition of Functions, Part 1

  41. Composition of Functions, Part 2
  42. Composition of Functions, Part 3
  43. Compound Inequalities
  44. Complex Numbers and Radicals
  45. Finding Functions for Applications

  46. Combining Functions in Application Problems
  47. Creating Models for Applications
  48. Extracting Data from Functions in Applications
  49. Understanding Rates of Change
  50. Coterminal Angles

  51. Solving a Quadratic Equation - Completing the Square
  52. Absolute Value Inequalities
  53. Adding and Subtracting Polynomials
  54. Adding and Subtracting Rational Expressions
  55. Administrative

  56. Administrative
  57. Area and Perimeter Word Problems
  58. Absolute Value Equations