# BC Calculus Manual (Revised 5/16)

This page provides the BC Calculus manuals for the classroom - all chapters of this manual are provided as free downloads!  This section is a complete high school course for preparing students to take the BC calculus exam.

There are three sections to the manual. The Essentials section has all the topics that are included in the BC exam. However, usually an entire year is not needed for this material so additional topics are included in the Non-Essentials section that make the course into a proper Calculus 2 course, than just a BC calculus course. We have added an AB Review to get students back into Calculus mode at the beginning of the school year.

This manual can easily replace an expensive textbook. Teachers teach right from it and students write in it.

 Purchase the Calc BC Answer Key! Only \$99.95 (for download) Student BC Manual in printed form. Only \$54.95 (plus \$10 shipping) Calc BC Answer Key in printed form. Only \$129.95 (plus \$10 shipping)

BC First Pages
BCStudentsp000Cover.pdf
Free
Essentials

 Pages 1-30  01. Indeterminate Forms/L'Hospital's Rule  02. Integration by Parts  03. Integration by Partial Fractions  04. Improper Integrals  05. Arc Length/Surface of Revolutions BCStudentsp001-030.pdf 4.5 meg
Free

 Pages 31-55  06. Euler's Method  07. Logistic Growth  08. Curves Defined by Parametric Equations  09. Calculus and Parametric Equations BCStudentsp031-055.pdf 4.2 meg
Free

 Pages 56-76  10. Polar Coordinates and Graphs  11. Polar Coordinates - Area & Arc Length  12. Vectors in the Plane  13. Vector-Valued Functions  14. Velocity & Acceleration of Vectors BCStudentsp056-076.pdf 5.5 meg
Free

 Pages 77-102  15. Taylor Polynomials  16. Sequences  17. Infinite Series  18. Geometric and p-Series  19. The Integral Test BCStudentsp077-102.pdf 5.3 meg
Free

 Pages 103-133  20. Comparison of Series  21. Alternating Series  22. Ratio and Root Tests  23. Convergence/Divergence Review  24  Power Series  25. Taylor and Maclaurin Series  26. Manipulation of Series BCStudentsp103-133.pdf 4.7 meg
Free
Non-Essentials

 Pages 134-156  0a. Marginal Analysis & Demand Elasticity  1a. Epsilon Delta Definition of Limit  2a. Powers of Sines and Cosines  3a. Partial Fractions Advances  5a. Simpson's Method BCStudentsp134-156NonEss.pdf 3.8 meg
Free

 Pages 157-180  7a. Work  7b. Fluid Force  7c. Center of Mass  27. First Order Differential Equations - NEW - added 6/9/16 BCStudentsp157-180NonEss2.pdf 2.4 meg
Free

 Pages 181 - 204 - AB Review - NEW - added 6/9/16  R1. Basic Differentiation  R2. Linear Approximations  R3. Limits, Continuity, and Differentiability  R4. Related Rates  R5. Function Analysis  R6. Integration Techniques  R7. Definite Integral & Accumulation Function  R8. Riemann Sums  R9. Fundamental Theorem of Calculus  R10. Straight-Line Motion  R11. Area and Volume  R12. Differential Equations and Growth/Decay   BCStudentsp181-204Review.pdf 4.7meg
Free

Calculus Review questions are available on the

(Previously items 52 and 53.)

 Purchase the Calc BC Answer Key! Only \$99.95 (for download) Full Calc BC Manual in printed form. Only \$54.95 (plus \$10 shipping) Calc BC Answer Key in printed form. Only \$129.95 (plus \$10 shipping)