Chalk Dust Productions - Precalculus Full 11 DVD's

The table of contents listed below has been pulled from an older version of this course, however, it is largely representative of the material uploaded. For a wholly accurate listing feel free to consult the DVD menu once you've finished downloading.

Chapter 1- Functions and Their Graphs
# 1.1 Lines in the Plane
# 1.2 Functions
# 1.3 Graphs of Functions
# 1.4 Shifting, Reflecting, and Stretching Graphs
# 1.5 Combinations of Functions
# 1.6 Inverse Functions
# 1.7 Linear Models and Scatter Plots

Chapter 2- Polynomial and Rational Functions
# 2.1 Quadratic Functions
# 2.2 Polynomial Functions of Higher Degree
# 2.3 Real Zeros of Polynomial Functions
# 2.4 Complex Numbers
# 2.5 The Fundamental Theorem of Algebra
# 2.6 Rational Functions and Asymptotes
# 2.7 Graphs of Rational Functions
# 2.8 Quadratic Models

Chapter 3- Exponential and Logarithmic Functions
# 3.1 Exponential Functions and Their Graphs
# 3.2 Logarithmic Functions and Their Graphs
# 3.3 Properties of Logarithms
# 3.4 Solving Exponential and Log Models
# 3.5 Exponential and Logarithmic Models
# 3.6 Nonlinear Models

Chapter 4- Trigonometric Functions
# 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

Chapter 5- Analytic Trigonometry
# 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-Sum Formulas

Chapter 6- Additional Topic in Trigonometry
# 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

Chapter 7- Linear Systems and Matrices
# 7.1 Solving Systems of Equations
# 7.2 Systems of Linear Equations in 2 Variables
# 7.3 Multivariable Linear Systems
# 7.4 Matrices and Systems of Equations
# 7.5 Operations with Matrices
# 7.6 The Inverse of a Square Matrix
# 7.7 The Determinant of a Square Matrix
# 7.8 Applications of Matrices and Determinants

Chapter 8- Sequences, Series and Probability
# 8.1 Sequences and Series
# 8.2 Arithmetic Sequences and Partial Sums
# 8.3 Geometric Sequences and Series
# 8.4 Mathematical Induction
# 8.5 The Binomial Theorem
# 8.6 Counting Principles
# 8.7 Probability

Chapter 9- Topics in Analytic
# 9.1 Circles and Parabolas
# 9.2 Ellipses
# 9.3 Hyperbolas
# 9.4 Rotation and Systems of Quadratic Equations
# 9.5 Parametric Equations
# 9.6 Polar Coordinates
# 9.7 Graphs of Polar Equations
# 9.8 Polar Equations of Conics

Chapter 10- Analytic Geometry in Three Dimensions
# 10.1 The Three-Dimensional Coordinate System
# 10.2 Vectors in Space
# 10.3 The Cross Product of Two Vectors
# 10.4 Lines and Planes in Space

Chapter 11- Limits and an Introduction to Calculus
# 11.1 Introduction to Limits
# 11.2 Techniques for Evaluating Limits
# 11.3 The Tangent Line Problem
# 11.4 Limits at Infinity and Limits of Sequences
# 11.5 The Area Problem

"Our oldest graduated last May from homeschool. He used your Geometry, Algebra II, Precalc, and Calculus (1st half of the book). He has done very well with math. Last spring he took the AP Calculus AB exam and earned a 5 on it, the highest score. He just completed his first semester in engineering at Virginia Tech and received A's in both of his math courses, Calculus II and Vector Geometry. Chalkdust works! Thank you for your thorough, challenging program.

Regards,
Kim Estep"

"My other son took the Pre-Calculus course and he even had written to you about a mistake in the book. That son went on to complete the next three Calculus courses in a local community college. He will graduate from high school in June. Thank you.

Both boys are following their own paths, one for the needed courses to graduate from high school and the other for an engineering future. I thank you for the encouragement with the one and the courses available for the other to work toward his gifts in math."

Mary Radinsky

"I just wanted to say that your videos are great. I am taking all of my classes online, and if it weren't for your videos I would not be able to make it through the class. THANK YOU! You are a great teacher!"

Leah Adams

"This college has each incoming freshman take a math placement test to see exactly which college math course the student needs to take. Our son did well and didn't have to take any math courses until PreCalculus, even though he is a Business and Economics major. But our daughter did even better–when she took the math placement exam she was exempted from taking ANY math courses for her entire 4 years in college! We were thrilled and know that this is due to the incredible math program from Chalk Dust. Thank you for making math do-able and giving our kids confidence and great knowledge.

God bless you all,
Ginger McCreery, for Jesse, Hannah, and Rachel McCreery"