# 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 , 2^{nd} edition, by Sullivan and
Sullivan; Prentice Hall, 2000.

(Most section numbers are consistent with those found in the 3^{rd} 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 |

Prev | Next |