| Tape # |
Section |
Time |
Title |
| |
|
|
|
| V180.01 |
N/A |
17:40 |
Introduction |
| |
|
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|
| Chapter 1: Graphs |
| |
|
|
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| 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 |
| |
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| Chapter 2: Function and Models |
| |
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| 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) |
| |
|
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| Chapter 7: Applications of
Trigonometric Functions |
| |
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| 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 |
| |
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| Chapter 9: Analytic Geometry |
| |
|
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| 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 |
| |
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|
| Chapter 12: Counting and Probability |
| |
|
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|
| 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 |
| |
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| Appendices |
| |
|
|
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| 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 |
| |
|
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| Miscellaneous Videos |
| |
|
|
|
| VM.019 |
The Twisted World of Trigonometry –
Part II |
