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 
OnetoOne 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 
DoubleAngle and HalfAngle Formulas 

6.4 
8:29 
ProducttoSum and SumtoProduct 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 
Onesided 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 