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
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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

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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

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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

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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

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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

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  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

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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

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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

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Calculus Review questions are available on the
AP Calc Review page: click here

(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)
 

 

  

             

We provide discounts for ordering certain products together and we provide other purchasing options.  Click here for more information about these options.
 
Click HERE to access the downloads for a previous purchase 
(must be within 7 days of original purchase)