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Math 180 Precalculus Videotapes Page 1 of 4

The following videotapes support topics found in MA 180. They directly correspond to material in
Precalculus Enhanced with Graphing Utilities, 2nd edition, by Sullivan and Sullivan; Prentice Hall, 2000.
(Most section numbers are consistent with those found in the 3rd edition.)

Tape # Section Time Title
       
V180.01 N/A 17:40 Introduction
       
Chapter 1: Graphs
       
V180.02 1.1 12:35 Rect. Coordinates; Graphing Utilities; Scatter Diagrams
  1.2 20:15 Graphs of Equations
  1.3 23:58 Solving Equations
  1.4 9:45 Setting Up Equations; Applications
  1.5 21:02 Solving Inequalities
  1.6 16:09 Lines
  1.7 11:20 Circles
       
Chapter 2: Function and Models
       
V180.03 2.1 13:13 Functions
  2.2 11:37 Linear Functions and Models
  2.3 26:31 Characteristics of Functions; Library of Functions
  2.4 24:47 Graphing Techniques: Transformations
  2.5 10:03 Operations on Functions; Composite Functions
  2.6 10:31 Mathematical Models; Constructing Functions
       
Chapter 3: Polynomial and Rational Functions
       
V180.04 3.1 23:30 Quadratic Functions and Models
  3.2 20:00 Power Functions and Models
  3.3 24:46 Polynomial Functions and Models
  3.4 21:56 The Real Zeros of a Polynomial Function
       
V180.05 3.5 14:14 Complex Numbers ; Quadratic Equations with a
      Negative Discriminant
  3.6 14:51 Complex Zeros; Fundamental Theorem of Algebra
  3.7 21:23 Rational Functions
  3.8 11:36 Polynomial and Rational Inequalities
       
Chapter 4: Exponential and Logarithmic Functions
       
V180.06 4.1 19:30 One-to-One Functions; Inverse Functions
  4.2 16:55 Exponential Functions
  4.3 14:36 Logarithmic Functions
  4.4 9:35 Properties of Logarithms
  4.5 14:40 Logarithmic and Exponential Equations
       
V180.07 4.6 15:26 Compound Interest
  4.7 20:01 Growth and Decay
  4.8 12:52 Exponential, Logarithmic, and Logistic Curve Fitting
       
Chapter 5: Trigonometric Functions
       
V180.08 5.1 21:39 Angles and Their Measure
  5.2 31:45 Trigonometric Functions: Unit Circle Approach
  5.3 23:59 Properties of the Trigonometric Functions
       
V180.09 5.4 12:10 Right Triangle Trigonometry
  5.5 20:32 Graphs of the Trigonometric Functions
  5.6 22:57 Sinusoidal Graphs; Sinusoidal Curve Fitting
       
Chapter 6: Analytic Trigonometry
       
V180.10 6.1 10:40 Trigonometric Identities
  6.2 15:52 Sum and Difference Formulas
  6.3 18:54 Double-Angle and Half-Angle Formulas
  6.4 8:29 Product-to-Sum and Sum-to-Product Formulas
  6.5 32:20 The Inverse Trigonometric Functions
  6.6 9:05 Trigonometric Equations (I)
  6.7 13:40 Trigonometric Equations (II)
       
Chapter 7: Applications of Trigonometric Functions
       
V180.11 7.1 8:09 Solving Right Triangles
  7.2 17:17 The Law of Sines
  7.3 8:36 The Law of Cosines
  7.4 5:14 The Area of a Triangle
  7.5 18:43 Simple Harmonic Motion; Damped Motion
       
Chapter 8: Polar Coordinates; Vectors
       
V180.12 8.1 15:43 Polar Coordinates
  8.2 29:35 Polar Equations and Graphs
  8.3 23:24 The Complex Plane; DeMoivre’s Theorem
  8.4 18:43 Vectors
  8.5 19:19 The Dot Product
  8.6 21:15 Vectors in Space
       
Chapter 9: Analytic Geometry
       
V180.13 9.1 N/A No information available (Conics)
  9.2 17:37 The Parabola
  9.3 20:20 The Ellipse
  9.4 23:57 The Hyperbola
  9.5 23:38 Rotation of Axes; General form of a Conic
  9.6 21:54 Polar Equations of Conics
  9.7 17:28 Plane Curves and Parametric Equations
       
Chapter 10: Systems of Equations and Inequalities
       
V180.14 10.1 16:39 Systems of Linear Equations : Two Equations Containing
      Two Variables
  10.2 11:10 Systems of Linear Equations: Two Equations Containing
      Three Variables
  10.3 17:28 Systems of Linear Equations: Matrices
  10.4 17:49 Systems of Linear Equations: Determinants
  10.5 23:39 Matrix Algebra
       
V180.15 10.6 24:48 Partial Fraction Decomposition
  10.7 17:16 Systems of Nonlinear Equations
  10.8 12:38 Systems of Linear Inequalities; Linear Programming
       
Chapter 11: Sequences; Induction; the Binomial Theorem
       
V180.16 11.1 12:13 Sequences
  11.2 9:52 Arithmetic Sequences
  11.3 15:19 Geometric Sequences; Geometric Series
  11.4 5:34 Mathematical Induction
  11.5 7:16 The Binomial Theorem
       
Chapter 12: Counting and Probability
       
V180.17 12.1 13:13 Sets and Counting
  12.2 8:49 Permutations and Combinations
  12.3 11:44 Probability of Equally Likely Outcomes
  12.4 9:32 Analyzing Univariate Data; Obtaining Probabilities
      from Data
       
Chapter 13: A Preview of Calculus: the Limit and the Derivative of a Function
       
V180.18 13.1 15:10 Finding Limits Using Tables and Graphs
  13.2 26:47 Algebra Techniques of Finding Limits
  13.3 20:57 One-sided Limits; Continuous Functions
  13.4 20:52 The Tangent Problem; the Derivative
       
Appendices
       
V180.19 A.1 51:28 Topics from Algebra and Geometry
  A.2 N/A No information available
  A.3 13:03 Polynomials
  A.4 7:55 Polynomial Division
  A.5 13:10 Rational Expressions
  A.6 24:30 Radicals; Rational Exponents
       
Miscellaneous Videos
       
VM.019 The Twisted World of Trigonometry – Part II
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