# BC Calculus Manual (Revised 5/2016)

This page provides the AB Calculus Manual 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 AB Calculus exam.

In addition to the Essentials section of the manual that provide complete coverage of all topics for the BC exam, there is a Non-Essentials section as well that teaches topics that are relevant to BC calculus but not on the actual AP exam. There is also a Review section that goes over the most important concepts from AB Calculus.

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

The Solution Manual is exactly the same as the student manual except that the solutions with all important steps are shown. There is a one-to-one relationship between the pages of the student manual and the solution manual. So, for example, page 73 will have a series of problems and blank space for the students to write in the solutions. The solution manual's page 73 will have the same problems but with the solutions shown.

New: In addition, a set of answer pages (no shown work, just the answer) to homework comes with the solution manual.  It is also available in download form as a stand-alone product.

 Purchase the Calc BC Solution Manual. Only \$99.95 (for download) Student BC Manual (no solutions) in printed form. Only \$54.95 (plus \$10 shipping) Calc BC Solution Manual in printed form. Only \$129.95 (plus \$10 shipping) Calc BC Answers only to HW (no work shown) in download form. Only \$14.95.

1. BC First Pages
BCStudentsp000Cover.pdf
Free
Essentials
2.
 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
3.
 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
4.
 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
5.
 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
6.
 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
7.
 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
8.
 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
9.
 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 Solution Manual. Only \$99.95 (for download) Student BC Manual (no solutions) in printed form. Only \$54.95 (plus \$10 shipping) Calc BC Solution Manual in printed form. Only \$129.95 (plus \$10 shipping) Calc BC Answers only to HW (no work shown) in download form. Only \$14.95.