Chalk Dust Productions - Precalculus

Chalk Dust Productions are like Math Tutor DVD. They are specially commissioned by Houghton Mifflin to supplement their various textbooks, but it is not necessary at all to possess the textbooks in order to benefit from these videos.

Lecture titles (total time nearly 41 hrs):

1.1 - Rectangular Coordinates
1.2 - Graphs of Equations
1.3 - Linear Equations in Two Variables
1.4 - Functions
1.5 - Analyzing Graphs of Functions
1.6 - A Library of Functions
1.7 - Transformations of Functions
1.8 - Combinations of Functions - Composite Functions
1.9 - Inverse Functions
1.10 - Mathematical Modeling and Variation

2.1 - Quadratic Functions and Models
2.2 - Polynomial Functions of Higher Degree
2.3 - Polynomial and Synthetic Division
2.4 - Complex Numbers
2.5 - Zeros of Polynomial Functions
2.6 - Rational Functions
2.6a - Graphing Rational Functions
2.7 - Nonlinear Inequalities

3.1 - Exponential Functions and Their Graphs
3.2 - Logarithmic Functions and Their Graphs
3.3 - Properties of Logarithms
3.4 - Exponential and Logarithmic Equations
3.5 - Exponential and Logarithmic Models

4.1 - Radian and Degree Measure
4.2 - Trigonometric Functions - The Unit Circle
4.3 - Right Triangle Trigonometry
4.4 - Trigonometric Functions of Any Angle
4.5 - Graphs of Sine and Cosine Functions
4.6 - Graphs of Other Trigonometric Functions
4.7 - Inverse Trigonometric Functions
4.8 - Applications and Models

5.1 - Using Fundamental Identities
5.2 - Verifying Trigonometric Identities
5.3 - Solving Trigonometric Equations
5.4 - Sum and Difference Formulas
5.5 - Multiple-Angle and Product-to-Sum Formulas

6.1 - Law of Sines
6.2 - Law of Cosines
6.3 - Vectors in the Plane
6.4 - Vectors and Dot Products
6.5 - Trigonometric Form of a Complex Number

7.1 - Linear and Nonlinear Systems of Equations
7.2 - Two-Variable Linear Systems
7.3 - Multivariable Linear Systems
7.4 - Partial Fractions
7.5 - Systems of Inequalities
7.6 - Linear Programming

8.1 - Matrices and Systems of Equations
8.2 - Operations with Matrices
8.3 - The Inverse of a Square Matrix
8.4 The Determinant of a Square Matrix
8.5 - Applications of Matrices and Determinants

9.1 - Sequences and Series
9.2 - Arithmetic Sequences and Partial Sums
9.3 - Geometric Sequences and Series
9.4 - Mathematical Induction
9.5 - The Binomial Theorem
9.6 - Counting Principles
9.7 - Probability

10.1 - Lines
10.2 - Introduction to Conics - Parabolas
10.3 - Ellipses
10.4 - Hyperbolas
10.5 - Rotation of Conics
10.6 - Parametric Equations
10.7 - Polar Coordinates
10.8 - Graphs of Polar Equations
10.9 - Polar Equations of Conics

11.1 - The Three-Dimensional Coordinate System
11.2 - Vectors in Space
11.3 - The Cross Product of Two Vectors
11.4 - Lines and Planes in Space

12.1 - Introduction to Limits
12.2 - Techniques for Evaluating Limits
12.3 - The Tangent Line Problem
12.4 - Limits at Infinity and Limits of Sequences
12.5 - The Area Problem