# Diving In to AP Calculus (AB & BC)

What is it? "Diving In"  tests all concepts in the AB and BC Calculus exam in the format and difficulty of the actual exam. Only topics that have been taught to that point will be addressed. So you are assured that a straight line motion question in the derivative will not ask questions about distance traveled that requires an integral. You can use Diving In from week one.

"Diving In" has been revised to match the format of the 2017 AP Exam. All multiple-choice problems have 4 choices (A, B, C, D) and the puzzle element, found in the previous edition, has been removed.  One additional topic in L'Hospital's Rule has been added.

What Does Diving In look like?  Click on the link to see part of the first issue of Diving InYou can get a sense of the format and the way solutions are presented.  Every one of the 37 topics in AB and 18 topics in BC look like this with 4 multiple-choice problems and one free-response problem.

How Do I Get the Problems?

There are two ways to get the Diving In problems:

1)  registering to become a member of the MasterMathMentor community.

By registering as a member of the MasterMathMentor.com Community you will automatically be given access to "Diving In (AB)",  "Calculus: Ripped From the Headlines" "Calculus Cache" and "Teaching Outside the Box", as well as other subscriptions developed in the future. There is nothing to do and absolutely no cost.

If you need to register,  you will choose a username and password. Give us a few hours to process and and you will become a member of MasterMathMentor. You will have access to the 12 AB Diving In issues when you login using your username and password.

THE STUDENT VERSION OF "Diving In" IS FREE!

Diving In - AB Version

 Topic Download 1. Limits 2. Rates of Change 3. Derivatives by the Definition Issue 1 4. Basic Derivatives 5. Equation of a Tangent Line 6. Derivative of Trig Functions Issue 2 7. Chain Rule 8. Local Linear Approximation 9. Implicit Differentiation Issue 3 10. Derivatives - ln and exponentials 11. Horizontal and Vertical Tangents 12. Continuity and Differentiability Issue 4 13. Intermediate, Mean Value Theorems 14. Derivative of Inverses 15. Related Rates Issue 5 16. Straight-line Motion 17. Function Analysis 18. Absolute Extrema Issue 6 19. 2nd Derivative Test 20. Optimization 21. Integration Issue 7 22. Integration w/Substitition 23. Integration with Trig Functions 24. Integration with ln and e Issue 8 25. Definite Integral as Area 26. Riemann Sums/Trapezoidal Rule 27. Fundamental Theorem of Calulus Issue 9 28. The Accumulation Function 29. Integral of Rate of Change 30. Average Value of a Function Issue 10 31. Straight-Line Motion - Integrals 32. Calculus and Inverse Trig 33. Area Issue 11 34. Volume 35. Slope Fields / DEQ's 36. DEQ Growth Problems 37. L'Hospital's Rule Issue 12

How About the Solutions?  You can purchase the solutions to "Diving In to Calculus - AB." The solutions walk you through all the necessary calculus steps and explain how they should be graded. You will receive links for all 12 issues. Each takes up roughly 2 megs of memory so they should download quite quickly.

Step 1: I'd Like to Register for the MasterMathMentor community:

Step 2: AB Answer key for all 12 issues (36 topics): \$31.95

Diving In to Calculus - BC Version

We have completed the BC version of Diving In. Unfortunately, it takes time to get it on our website with all purchasing options and my programmer is not currently available to do this extensive work. But I want to get it into the hands of teachers by the start of the school year so I used my rudimentary website ability to get the student version available for download and a limited purchasing option for the solutions.

Diving In - BC Version

 Topic Download 1. L'Hospital's Rule 2. Integration by Parts 3. Derivatives using Partial Fractions Issue 1 4. Improper Integrals 5. Arc Length 6. Euler's Method Issue 2 7. Logistic Curves 8. Parametric Equations 9. Vector-Valued Functions Issue 3 10. Polar Curves 11. Taylor Polynomials 12. Lagrange Error Issue 4 13. Convergence Tests (Basic Series) 14. Convergence Tests (Complicated Series) 15. Alternating Series & Error Bounds Issue 5 16. Power Series Convergence Intervals 17. Taylor Series 18. Manipulation of Series Issue 6

The cost of the solutions to Diving In - BC version is \$25.95 and is temporarily available only in download format (or as PO's). You can purchase it below.

Many teachers are looking for AP-type problems that test student cumulative knowledge. "Diving In to AP Calculus" is timely, challenging, and yes, fun! Hope you and your students enjoy using it.