BC Calculus Manual (Revised 12/2019)
This page provides the BC 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 BC 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.
In addition, a set of answer pages (no shown work, just the answer) to homework is included with the solution manual. It is also available in download form as a stand-alone product.
New: School administrations are increasingly concerned with standards. This material in this manual is aligned to the AP® standards as defined in the their 2019 document: AP® Calculus AB and BC Course and Exam Description available on the website: www.apcentral.collegeboard.org. Although this is included with purchase of the BC Solutions in any format, you can download information about the standards at: BC Standards:
NEW: LET ME HELP YOU TEACH YOUR CLASS!
Because of the devastating impact to our way of life because of COVID-19, schools are in a particularly difficult position. It is unknown how safe they can be for the students but, no matter what, classes have to be taught be adults. And those who teach courses like AP calculus are more likely to have years of experience, may be older and simply have to take fewer risks. It is clear to me that at least for the time being, the virtual classroom is the safest for everyone.
With that in mind, I have put together YouTube Videos that will teach your class the basic concepts of AP calculus. What is most exciting is that these will follow the classwork section of the AP Calculus manual. Students can download (for free) and print the BC manual student pages. They can download the video for each section and have thorough explanations of just about all the problems in the classwork section. They can stop the video and write in solutions in their printed student manual. They can replay any section to better understand the steps. If they have questions, they can write them down and when you "meet" with them, you can help clear up their confusion.
They are narrated by me and the style is the same as if I were teaching a class. I show the thought process involved in solving calculus problems. The solutions are the same that appear in the solution manual, but these are explained audibly as well. Unlike other math videos, you will not see me taking time to write solutions. They appear on the screen instantly and are legible and professional. Videos will range from 15 minutes to 35 minutes depending on their complexity. Some of the more involved concepts are split into two videos, similar to what you would do when teaching - take several days to cover a topic. When you "meet" with the students, you can then concentrate on the homework problems.
This is a huge but very exciting undertaking. These videos take time to construct, usually one every two days. But living in Florida, the COVID-19 capital of the world during the summer, they kept me busy for 4 months. All the videos in the BC Essentials section are complete taking up over 13 hours of instruction and the Non-Essentials section will be completed by mid January with work on the AB Review section following.
I suggest that you first view the introduction video to understand how the YouTube videos coordinate with the manual. Then view several of the videos to get a feel for them. Feel free to direct students to this page so that they can download them directly. Have them feel free to make comments (keeping them clean!) for each video. And of course if there is a mistake or I didn't make something clear enough or if they have a question, they can mention that in the comment or, ask you or me directly.
Here is my YouTube channel:
https://www.youtube.com/channel/UC-y4_ldufRdVd5r_CuCzDCQ
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.
|
|
|

FREE DOWNLOADS |
|
1. |
BC First Pages
BCStudentsp000Cover.pdf
|
Download
Free |
Intro Video |
Essentials |
|
YouTube Videos free |
2. |
Pages 1-30 - Revised 12/6/20
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)
|
|
Download
Free |
Video BC 01
Video BC 02
Video BC 03
Video BC 04
Video BC 05
|
3. |
Pages 31-55 - Revised 12/7/20
06. Euler's Method
07. Logistic Growth
08. Curves Defined by Parametric Equations
09. Calculus and Parametric Equations
BCStudentsp031-055.pdf (4.2 meg)
|
|
Download
Free |
Video BC 06
Video BC 07
Video BC 08
Video BC 09
|
4. |
Pages 56-76 - Revised 12/7/20
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)
|
|
Download
Free |
Video BC 10
Video BC 11
Video BC 12
Video BC 13
Video BC 14
|
5. |
Pages 77-102 - Revised 12/8/20
15. Taylor Polynomials
16. Sequences
17. Infinite Series
18. Geometric and p-Series
19. The Integral Test
BCStudentsp077-102.pdf (5.3 meg)
|
|
Download
Free |
Video BC 15a
Video BC 15b
Video BC 16
Video BC 17
Video BC 18
Video BC 19
|
6. |
Pages 103-133 - Revised 12/8/20
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)
|
|
Download
Free |
Video BC 20
Video BC 21
Video BC 22
Video BC 23
Video BC 24
Video BC 25
Video BC 26a
Video BC 26b
|
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 Advanced
5a. Simpson's Method
BCStudentsp134-156NonEss.pdf (3.8 meg)
|
|
Download
Free |
Video BC 0a
Video BC 01a
|
8. |
Pages 157-180 - Revised 12/24/20
7a. Work
7b. Fluid Force
7c. Center of Mass
27. First Order Differential Equations -
BCStudentsp157-180NonEss2.pdf (2.4 meg)
|
|
Download
Free |
Video BC 07a
Video BC 07b
Video BC 07c
Video BC 27
|
9. |
Pages 181 - 204 - AB Review -
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)
|
|
Download
Free |
|
|
Calculus Review questions are available on the
AP Calc Review page: click here
(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.
|
|
|

We provide discounts for ordering certain products together and we provide other purchasing options. Click here for more information about these options.
|