PRECALCULUS / TRIGONOMETRY
Textbook: Thinkwell Precalculus Edward B. Burger isbn 978-1-60538-079-7
I borrowed a copy from a friend.
Edward B. Burger
Table of Contents
P. Basic Algebra Review
1. Functions and their Graphs
2. Polynomial Functions
3. Rational Functions and Conics
4. Exponential and Logarithmic Functions
5. Trigonometric Functions
6. Analytic Trigonometry
7. Applications of Trigonometry
8. Systems of Equations and Inequalities
9. Matrices and Determinants
10. Analytic Geometry
11. Sequences, Series and Probability
This text book has many lucid example problems as explained by Burger similar to his videos. It is best for learn by example strudents (which is probably a majority of students). It takes a "Just the Facts Ma'am" approach with little historical background or derivation of the concepts. It covers some advanced topics such as Partial Fractions and Mathematical Induction. It covers Vectors but does not delve into three dimensional vectors. It does not cover Limits but this is covered in AP Calculus AB so not a real ding. It is a good text book.
It contains lots of problems/exercises with some more challenging ones called extensions. It has answers for the odd problems and all the answers for each chapter review problem set. The text is quite complete and could be used standalone or along with the formal Thinkwell course. Since Thinkwell courses are only streamed these days, I would purchase this text used (currently in $20-25 range) for future reference.
IMHO It is not suitable for a future Math major and somewhat marginal for a future Engineer or Physics major.
Some other notes:
For the general exponential function Thinkwell uses y = bx versus y = abx or f(x) = abx
Some Algebra 2 books introduce and use it this way. I prefer the second form for Precalc.
Thinkwell text does not derive or otherwise demonstrate with data where the compound interest formula comes from with respect to the simple interest formula versus the Sullivan text or Demana texts.
THINKWELL Homeschool Version
Textbook:All course materials are online via recorded lectures, notes, automatically-graded quizzes and tests. Subscription is for a period of 12 months.
Note: Thinkwell's Precalculus combines the course materials from Algebra 2 with Trigonometry.
Online Class? Not live but instructor support is available via Johns Hopkins Center For Talented Youth. Prerequisites and other details here and here.
Where to buy: From Thinkwell. Check Homeschool Buyers Co-op for periodic Group Buy savings (sometimes 50% off!).
Teacher Guide/Additional Materials: Quizzes and tests are automatically graded with correct solutions supplied. The homeschool version provides lesson plans.