Diving In to AP® Calculus (AB & BC)
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| AB Answer Key only $31.95 |
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 |
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1. Limits 2. Rates of Change 3. Derivatives by the Definition |
Issue 1 |
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4. Basic Derivatives 5. Equation of a Tangent Line 6. Derivative of Trig Functions |
Issue 2 |
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7. Chain Rule 8. Local Linear Approximation 9. Implicit Differentiation |
Issue 3 |
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10. Derivatives - ln and exponentials 11. Horizontal and Vertical Tangents 12. Continuity and Differentiability |
Issue 4 |
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13. Intermediate, Mean Value Theorems 14. Derivative of Inverses 15. Related Rates |
Issue 5 |
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16. Straight-line Motion 17. Function Analysis 18. Absolute Extrema |
Issue 6 |
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19. 2nd Derivative Test 20. Optimization 21. Integration |
Issue 7 |
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22. Integration w/Substitition 23. Integration with Trig Functions 24. Integration with ln and e |
Issue 8 |
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25. Definite Integral as Area 26. Riemann Sums/Trapezoidal Rule 27. Fundamental Theorem of Calulus |
Issue 9 |
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28. The Accumulation Function 29. Integral of Rate of Change 30. Average Value of a Function |
Issue 10 |
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31. Straight-Line Motion - Integrals 32. Calculus and Inverse Trig 33. Area |
Issue 11 |
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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.
| AB Answer Key only $31.95 |
Diving In to Calculus - BC Version
THE STUDENT VERSION OF "Diving In" IS FREE!
Diving In - BC Version
BC Answer Key only $25.95
| Topic | Download |
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1. L'Hospital's Rule 2. Integration by Parts 3. Derivatives using Partial Fractions |
Issue 1 |
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4. Improper Integrals 5. Arc Length 6. Euler's Method |
Issue 2 |
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7. Logistic Curves 8. Parametric Equations 9. Vector-Valued Functions |
Issue 3 |
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10. Polar Curves 11. Taylor Polynomials 12. Lagrange Error |
Issue 4 |
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13. Convergence Tests (Basic Series) 14. Convergence Tests (Complicated Series) 15. Alternating Series & Error Bounds |
Issue 5 |
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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.
BC Answer Key only $25.95