# 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?  Every one of the 37 topics in AB and 18 topics in BC are similar with 4 multiple-choice problems and one free-response problem.

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.

Diving In to Calculus - BC Version

THE STUDENT VERSION OF "Diving In" IS FREE!

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

How About the Solutions?  You can purchase the solutions to "Diving In to Calculus - BC." The solutions walk you through all the necessary calculus steps and explain how they should be graded. You will receive links for all 6 issues. Each takes up roughly 2 megs of memory so they should download quite quickly.