AP Calculus BC
| Topics | Notes Outline |
Notes Video |
Homework | Supplemental Resources |
| Basic Integration Rules | Section A | Ch3A (vimeo) |
Problem Set 35 | |
| Basic Trigonometric Integrals | Section B | Ch3B (vimeo) |
Problem Set 36 | |
| Integration by
U-Substitution for Indefinite Integrals Solving Differential Equations by Separation of Variables |
Section C | Ch3CPart1 (vimeo) Ch3CPart2 (vimeo) |
Problem Set 37 | |
| The First Fundamental Theorem of Calculus | Section D | Ch3D (vimeo) |
Problem Set 38 | |
| Integration by U-Substitution for Definite Integrals | Section E | Ch3E (vimeo) |
Problem Set 39 | |
| The First Fundamental Theorem of Calculus with Initial + Change and applied problems | Section F | Ch3F (vimeo) |
Problem Set 40 | |
| Average Value of a Function on a Closed Interval | Section G | Ch3G (vimeo) |
Problem Set 41 | |
| Approximating Definite Integrals using The Trapezoidal Rule and Riemann Sums: Left, Right, & Midpoint | Section H | Ch3H (vimeo) |
Problem Set 42 | |
| The Second Fundamental Theorem of Calculus | Section I | Ch3IPart1 (vimeo) Ch3IPart2 (vimeo) |
Problem Set 43 | |
| Integrating Piecewise Functions | Section J | Ch3J (vimeo) Ch3J (teacher tube) |
Problem Set 44 | |
| Differentiating & Integrating
Natural Exponential and Logarithmic Functions |
Section
K |
Ch3K (vimeo) |
Problem Set 45 | |
| Integration involving the natural
logarithm Solving Differential Equations by Separation of Variables with Natural Exponential and Logarithmic Functions |
Section
LP1 Section LP2 |
Ch3LPart1 (vimeo) Ch3LPart1 (teachertube) Ch3LPart2 (vimeo) |
Problem Set 46 | |
| Finding Local Extrema and Inflection Points of Exponential and Logarithmic Functions | Section M | Ch3M (vimeo) |
Problem Set 47 | |
| Inverse Functions & Differentiating | Section N | Ch3N (vimeo) |
Problem Set 48 | |
| Slope Fields | Section O | Ch3O (vimeo) Ch3O (teacher tube) |
Problem Set 49 | |
| Inverse Trig Functions: Differentiating | Section P | Ch3P (vimeo) |
Problem Set 50 | |
| Integration by Partial Fractions | Section Q | Ch3Q (vimeo) Ch3Q (teacher tube) |
Problem Set 51 | |
| Advanced L'Hopital's Rule & Advanced Disguised Derivative Problems | Section R | Ch3R (vimeo) Ch3R (teacher tube) |
Problem Set 52 | |
| Integration by Parts | Section S | Ch3S (vimeo) Ch3S (teacher tube) |
Problem Set 53 | |
| Chapter 3 Review | Problem Set 54 |