AP Calculus


Exam Review 
Exam Topics - Powerpoint
Unit 3 (Nov. 19 - Dec. 18) - Applications of Derivatives
Dec. 18 (tentative) - Test 2 - focus on 3.4-3.7
HW DUE DEC 11: Sec. 3.5 - 8, 16, 20, 38, 44, 56, 76
Dec. 7 - 3.5 - Curve Sketching - Practice: 9, 15, 27, 37, 39, 43, 75
Dec. 6 Test 1 - focus on 3.1-3.4
Dec. 3 - Quiz 2 - Sec. 3.3-3.4 (simple 2nd derivative test only)
Dec. 3 - HOMEWORK: Sec 3.3 - 10-34 ev. 6th problem; Sec. 3.4 - 14, 18, 20, 26
Nov. 30 - 3.4 - Second Derivative Test - Practice: 1,3,5,13,17,23
Nov. 29 - 3.3 - First Derivative Test - Practice: 9-19 odd
Nov. 28 - Quiz 1 (3.1 & 3.2)
Nov. 28 - HOMEWORK: Sec 3.1 - 44, 48, 64; Sec. 3.2 - 10, 16, 26, 36, 40, 46, 64
Nov. 27 - 3.2 - Mean Value Theorem - Practice: 31-51 ev. 4th;  EVT/MVT comparison slides
Nov. 26 - 3.2 - Rolle's Theorem - Practice: p. 224-25: 1-5, 7; 9-21 ev. 4th
Nov. 20 - HOMEWORK - p.217 - 12-32, every 4th problem
Nov. 19 - 3.1 - Finding Extremes on an Interval; Practice: p.217, 11-31, ev. 4th

Unit 2 (Oct 8 - Nov. 16) - Derivatives

Nov. 16 - Final Derivatives Test - Focus on 2.5-2.7
Nov. 14 - Quiz - Inverse Trig Functions & Related Rates
Nov. 13:
Practice: Differentiating inverse trig functions (scroll down to practice Inverse Functions, Inverse Trig Functions, and Quiz 2).
Practice: Related Rates (scroll down to practice Intro to Related Rates, Solving Related Rates Problems, and Quiz 2.)
HW due Nov. 13 - Sec. 2.6: 24, 28, 38, 74  & Sec. 2.7: 6, 8, 14, 16, 20, 26

LINK TO KHAN ACADEMY - CHAIN RULE & IMPLICIT DIFFERENTIATION PRACTICE
Nov. 7 - Quiz - Sec. 2.5 & first part of 2.6
Nov. 6 - Review of Implicit Differentiation and Derivatives of Inverse Functions
Chain Rule and Implicit Differentiation - review problems Q's
Answers to practice problems
Nov. 5 - Derivatives of Inverse Trig Functions
Nov. 2 - Derivatives of Inverse Functions (2.6)
Oct. 31-Nov. 1 - Implicit Differentiation (2.5)
Oct 30 - Test - Sec. 2.4 & mid-term; 50% Chain Rule, 25% 2.1-2.3, 25% Chap.P/1.  This test can replace one of the first four test grades.
Oct 25 - CHAIN RULE QUIZ
HW Due Oct 24 - Sec. 2-4: 2-8 even, 12, 18, 26, 44, 46, 48, 52, 70, 86, 142, 146
Oct 23 - Sec 2.4 (cont)
Oct 22 - Sec 2.4 - Chain Rule - practice:  1-7 odd +  11-31 ev. 4th + 41-43
Oct 19 - Test - Sec 2.1-2.3
Oct 18 - Test review
HW Due Oct 18 - Sec. 2-2:  24, 50, 62, 64  Sec. 2-3: 4, 8, 12; 24 & 28 (show 2 different ways to find answer); 44, 56.
Oct 17 - Sec. 2.3 (cont) - practice: 7-11 odd; 31, 43, 49, 51
Oct 16 - Sec. 2.3 - Product Rule & Quotient Rule
Oct 16 - Quiz on Derivative Definition & Power Rule
Oct 12 - Sec.2.2(cont) - More differentiation rules (sin/cos & exponential) - practice problems: 19-37 odd + 87, 95, & 97
HW Due Oct 12 - Sec. 2.1: 20, 30, 52; Sec. 2.2: 2-16 even, 32, 34, 40, 42.
Oct 11 - Sec 2.2 - Using Power Rule, Multiple Rule, and Sum/Difference Rule
Oct. 8-9 - Sec 2.1 - Using Limit Definition to Find Derivatives


Unit 1 (Sep 13 - Oct 5) - Limits & Continuity

Oct 5 - Test on Chapter 1 - heavier focus on 1.5-1.6
Oct. 3 - Unit Review
Oct 2 - Quiz on Sec. 1.5-1.6
 - HW due:  Sec 1.5 - 20, 26, 30, 42, 46, 69-72.  Sec. 1.6 - 18, 24, 34, 38, 46, 52
Oct 1 - Review of Infinite Limits & Limits at Infinity
Sep 28 - Limits at Infinity (1.6)

Sep 27 - Test on Sections 1.1-1.4 (focus on continuity)
Sep 26 - Review Limits & Continuity; continue Infinite Limits (1.5)
- HW due:  1.4 - 12, 16, 36, 40, 48, 56, 64;   pg. 118-119 #36, 42, 50
Sep 25 - Quiz on Continuity (1.4); begin Infinite Limits (1.5)
Sep 24 - Review continuity and limits
- Practice: worksheet & 63-87 ev. 4th problem

 Unit P (Aug. 27 - Sep 7)
​This is the preliminary chapter in the Calculus textbook.  We will move quickly through this material, which was also covered in the summer work.
Aug 28 - Section P.1 - graphs & models - 15-59 (every 4th problem) + 65, 67, & 73
Aug 29 - Section P.2 - Linear Models & Rates of Change - 3-27 & 33-73 every 4th problem
Aug 30 - P.3 - Functions & Graphs - 17, 21, 25, 33, 39, 43, 45, 49-53 odd, 57, 73.
Aug 31 - Homework Due - Quiz P.1-P.3  HW: P.1 - 18, 26, 30, 34, 68; P.2 - 24, 38, 48, 62; P.3 - 16, 24, 32, 44, 58.
P1 pg 1.JPG     P1 pg 2.JPG
P2 pg 1.JPG     P2 pg 2.JPG
P3 pg 1.JPG     P3 pg 2.JPG

Sep 4-5 P.4 - Inverse Functions - practice 3-43 ev. 4th and 61-73 ev. 4th
Sep 5-6 - P.5 - Exponential & Log Functions (HW due Sep 6)
HW: P.4 - 22, 28, 34, 56, 62, 74, 116; P.5 - 14, 36, 40, 74, 92, 100, 106
Sep 7 - Quiz 2
Sep 10 - Test Review Problems (p.54-55) - odd only: 11-17, 31-35, 45, 59-65
 Sep 11 - Chapter P Test

AP Calculus Summer Work

These assignments are due on the first day of school (August 27).  All of them use skills you should have learned from earlier classes, particularly Pre-Calculus.  There are three assignments - Algebra, Functions, and Trig/Geometry.  They can be done in any order.
All of these problems can be done without a graphing calculator.  In addition, you must show your work (steps, factoring, simplification, etc) so finding an answer without doing the work won't help you.
Good luck!  Let me know if you have questions.
AP Calc Summer Work - Algebra
AP Calc Summer Work - Functions
AP Calc Summer Work - Trig/Geometry