Calculus AB Timeline Chapter 1 Assignments (7 Days) Topic Concept of Instantaneous Rate Rate of Change by Equation, Graph, or Table One Type of Integral of a Function Definite Integrals by Trap, from Eq to Data Journal & Chapter Review AP exam questions you can already do TEST Day 1 2 3 4 5 6 7 Section 1.1 1.2 1.3 1.4 1.6, 1.7 Problems 1,2 Qall #1-27odd,28 Qall #1-11odd,12-14all Qall #1-5odd,9-17odd §1.6 #1, §1.7R1-4,6 Day 1 2 3 4 5 6 7 8 9 Section 2.2 2.3 2.3 2.4 2.4 2.5 2.6 2.7 Chapter 2 Assignments (9 Days) Topic Graphical & Algebraic Approach to the Def of Limit The Limit Theorems The Limit Theorems Continuity Continuity Limits Involving Infinity The IVT & its consequences Chapter Review TEST Problems Qall#1-13odd Qall#1-13odd #15-25odd Qall#1-41odd #43-69odd Qall#1-13odd,12,14 Qall#1-9odd,12,13 R0-R6 §3.1#1-9all Day 1 2 3 4 5 6 7 8 9 10 11 12 13 Section 3.2 3.3 3.4 3.4 3.5 3.6, 3.7 3.7 3.8 “3.9” “3.9” 3.10 3.10 Chapter 3 Assignments (13 Days) Topic Difference Quotients, & one definition of derivative Derivative Functions Numerically & Graphically Derivative of Power Function, & another Def of Derivative Derivative of Power Function, & another Def of Derivative Displacement, Velocity, and Acceleration Intro to Sine…; Derivative of Composite Functions Derivative of Composite Functions – The Chain Rule Proof and Application of Sine & Cosine Derivatives Exponential & Logarithmic Functions Exponential & Logarithmic Functions Chapter Review Chapter Review TEST Problems Qall#1,2,3-19odd,20 Qall#1-9odd,10-13all Qall#1-23odd #25-28all,29-33odd,34,39 Qall#1-9odd,10-12 1-8all; §3.7 Qall#1-10all 11-26all Qall#1,7,8,13,14 Qall#3,5-15all #2,16-30all R0-R5 R6-8 §4.1#1-6all Day 1 2 3 4 5 6 7 8 9 10 11 12 13 Section 4.2 4.2 4.3 4.3 4.4 4.4 4.5 4.6 4.6 4.8 10.4 10.4 10.4 Chapter 4 Assignments (15 Days) Topic Derivative of a Product of Two Functions Derivative of a Product of Two Functions Derivative of a Quotient of Two Functions Derivative of a Quotient of Two Functions Derivative of the other Trigonometric Functions Derivative of the other Trigonometric Functions Derivative of Inverse Trigonometric Functions Differentiability and Continuity Differentiability and Continuity Graphs and Derivative of Implicit Relations Related Rates Related Rates Related Rates Problems Qall#1-21odd #23-35odd Qall#1-15odd #17-29odd,30,32,33 Qall#1-21odd; §4.9R1 #23-43odd,44; §4.9R2 Qall#1-25odd; §4.9R3 Qall#1-19odd; §4.5#14,16 #21-37odd; §4.5#29 Qall#1-21odd Qall#1-3 #4-7; §4.9R4 #8-12 §2.1#1-3 14 15 4.9 Day 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Section 5.2 5.3 5.4 5.5 5.6 5.6 5.7 5.8 5.9 5.9 5.10 5.11 5.12 Day 1 2 3 Section 6.2 6.3 6.4 Chapter 6 Assignments (13 Days) Topic Antiderivative of the Reciprocal Function Natural Logarithms, & another form of the Fun Th ln x Really is a Logarithmic Function 4 5 6.5 6.6 Derivative of Exponential Functions – Logarithmic Differentiation The Number e, and the Derivative of Base b log functions 6 7 8 9 10 11 12 13 6.7 6.7 6.8 6.8 6.9 6.9 6.10 The Natural Exponential Function, the Inverse of ln The Natural Exponential Function, the Inverse of ln Limits of Indeterminate Forms – L’Hospital’s Rule Limits of Indeterminate Forms – L’Hospital’s Rule Derivative & Integral Practice for Transcendental Fun Derivative & Integral Practice for Transcendental Fun Chapter Review TEST Problems 1-12all Qall#1-25odd Qall#1-6,8,12; §6.3#27-59odd Qall#1-31odd Qall#1-15odd,19,23,24,25 §6.10R1 Qall#0,1-35odd; §6.10R2 37-63odd,64; §6.10R3 Qall#1-21odd; §6.10R4 23-35odd,36; §6.10R5ab 1-45all; §6.10R5c 46-90all; §6.10R6 R0,7-9 §7.1#1-6all Day 1 2 3 4 5 6 7 8-9 Section 7.2 7.2 7.3 7.4 7.5 7.7 Chapter 7 Assignments (9 Days) Topic Exponential Growth & Decay Exponential Growth & Decay Other Differential Equations for Real World Application Graphical Solutions of Differential Equations-Slope Fields Numerical solutions of DEs - Euler’s Method Chapter Review TEST Cumulative Review Problems Qall#1-4all 5-9all; §7.8#1-7all Qall#1,4 Qall#1-7odd,10; §7.3#5 Qall#1,3,5; §7.3#7 R0-R6 §7.8#8-12,14-16 Day 1#17-29; Day2#30-42 7.8 Chapter Review TEST R5-R6, R8 §5.1#1-7all Chapter 5 Assignments (14 Days) Topic Review of Antiderivatives Linear Approximation and Differentials Formal Definition of Antiderivative and Indefinite Integral Riemann Sums, and the Definition of Definite Integral The Mean Value Theorem and Rolle’s Theorem The MVT and Rolle’s Theorem Some Very Special Riemann Sums The Fundamental Theorem of Calculus Definite Integral Properties and Practice Definite Integral Properties and Practice A Way to Apply Definite Integrals Numerical Integration by Simpson’s Rule & Grapher Chapter Review TEST Problems Qall#1-17all Qall#1,3,5,6,7-37odd;39 Qall#1-41odd Qall#1-11odd; §5.4#43 Qall#1,2,3-21odd;§5.4#47 23-33odd,39-41;§5.4#48 1-13all; §5.12R1 Qall#1,3,7-10; §5.12R2 Qall#1-23odd; §5.12R3 23-37odd, 38; §5.12R4 Qall#1,3; §5.12R5 Qall#1,3,7,9,11; §5.10#4,5 R0,R6-11 §6.1#1-7all