 # 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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