Calculus Timeline 1st Semester (Total 81 days)

Chapter 1 Assignments (7 Days)

Day Section Topic Problems

‘ 1 1.1 Concept of Instantaneous Rate 1,2

‘ 2 1.2 Rate of Change by Equation, Graph, or Table Qall #1-27odd,28

‘ 3 1.3 One Type of Integral of a Function Qall #1-11odd,12-14all

‘ 4 1.4 Definite Integrals by Trap, from Eq to Data Qall #1-5odd,9-17odd

‘ 5 1.6, 1.7 Journal & Chapter Review §1.6 #1, §1.7R1-4,6

‘ 6 AP exam questions you can already do

‘ 7 TEST §2.1#1-3

Chapter 2 Assignments (9 Days) Day Section Topic Problems

‘ 1 2.2 Graphical & Algebraic Approach to the Def of Limit Qall#1-13odd

‘ 2 2.3 The Limit Theorems Qall#1-13odd

‘ 3 2.3 The Limit Theorems #15-25odd

‘ 4 2.4 Continuity Qall#1-41odd

‘ 5 2.4 Continuity #43-69odd

‘ 6 2.5 Limits Involving Infinity Qall#1-13odd,12,14

‘ 7 2.6 The IVT & its consequences Qall#1-9odd,12,13

‘ 8 2.7 Chapter Review R0-R6

‘ 9 TEST §3.1#1-9all

Chapter 3 Assignments (13 Days) Day Section Topic Problems

‘ 1 3.2 Difference Quotients, & one definition of derivative Qall#1,2,3-19odd,20

‘ 2 3.3 Derivative Functions Numerically & Graphically Qall#1-9odd,10-13all

‘ 3 3.4 Derivative of Power Function, & another Def of Derivative Qall#1-23odd

‘ 4 3.4 Derivative of Power Function, & another Def of Derivative #25-28all,29-33odd,34,39

‘ 5 3.5 Displacement, Velocity, and Acceleration Qall#1-9odd,10-12

‘ 6 3.6, 3.7 Intro to Sine…; Derivative of Composite Functions 1-8all; §3.7 Qall#1-10all

‘ 7 3.7 Derivative of Composite Functions – The Chain Rule 11-26all

‘ 8 3.8 Proof and Application of Sine & Cosine Derivatives Qall#1,7,8,13,14

‘ 9 “3.9” Exponential & Logarithmic Functions Qall#3,5-15all

‘ 10 “3.9” Exponential & Logarithmic Functions #2,16-30all

‘ 11 3.10 Chapter Review R0-R5

‘ 12 3.10 Chapter Review R6-8

‘ 13 TEST §4.1#1-6all

Chapter 4 Assignments (16 Days) Day Section Topic Problems

‘ 1 4.2 Derivative of a Product of Two Functions Qall#1-21odd

‘ 2 4.2 Derivative of a Product of Two Functions #23-35odd

‘ 3 4.3 Derivative of a Quotient of Two Functions Qall#1-15odd

‘ 4 4.3 Derivative of a Quotient of Two Functions #17-29odd,30,32,33

‘ 5 4.4 Derivative of the other Trigonometric Functions Qall#1-21odd; §4.9R1

‘ 6 4.4 Derivative of the other Trigonometric Functions #23-43odd,44; §4.9R2

‘ 7 4.5 Derivative of Inverse Trigonometric Functions Qall#1-25odd; §4.9R3

‘ 8 4.6 Differentiability and Continuity Qall#1-19odd; §4.5#14,16

‘ 9 4.6 Differentiability and Continuity #21-37odd; §4.5#29

‘ 10 4.7 Derivative of a Parametric Function Qall#1-5all

‘ 11 4.7 Derivative of a Parametric Function 7,9,11,15 AP parametric

‘ 12 4.8 Graphs and Derivative of Implicit Relations Qall#1-21odd

‘ 13 10.4 Related Rates Qall#1-7odd

‘ 14 10.4 Related Rates #8-12 §4.9R4

‘ 15 4.9 Chapter Review R5-R6, R8

‘ 16 TEST §5.1#1-7all

Chapter 5 Assignments (14 Days) Day Section Topic Problems

‘ 1 5.2 Review of Antiderivatives Qall#1-17all

‘ 2 5.3 Linear Approximation and Differentials Qall#1,3,5,6,7-37odd;39

‘ 3 5.4 Formal Definition of Antiderivative and Indefinite Integral Qall#1-41odd

‘ 4 u-substitution Do “mc antiderivative from old tests” & “HW after 5.4” handout

‘ 5 5.5 Riemann Sums, and the Definition of Definite Integral Qall#1-11odd; §5.4#43

‘ 6 5.6 The Mean Value Theorem and Rolle’s Theorem Qall#1,2,3-21odd;§5.4#47

‘ 7 5.6 The MVT and Rolle’s Theorem (Quiz) 23-33odd,39-41;§5.4#48

‘ 8 5.8 The Fundamental Theorem of Calculus §5.9#1-8all

‘ 9 5.9 Definite Integral Properties and Practice Qall9-23odd;§5.8#1,3,7-10

‘ 10 5.9 Definite Integral Properties and Practice 25-37odd, 38; §5.12R2-4

‘ 11 5.10 A Way to Apply Definite Integrals Qall#1,3; §5.12R5

‘ 12 5.11 Numerical Integration by Simpson’s Rule & Grapher Qall#1,3,7,9,11; §5.10#4,5

‘ 13 5.12 Chapter Review R0,R6-11

‘ 14 TEST §6.1#1-7all

Chapter 6 Assignments (13 Days) Day Section Topic Problems

‘ 1 6.2 Antiderivative of the Reciprocal Function 1-12all

‘ 2 6.3 Natural Logarithms, & another form of the Fun Th Qall#1-25odd

‘ 3 6.4 ln x Really is a Logarithmic Function Qall#1-6,8,12;

§6.3#27-59odd

‘ 4 6.5 Derivative of Exponential Functions – Logarithmic Differentiation Qall#1-31odd

‘ 5 6.6 The Number e, and the Derivative of Base b log functions Qall#1-15odd,19,23,24,25

§6.10R1

‘ 6 6.7 The Natural Exponential Function, the Inverse of ln Qall#0,1-35odd; §6.10R2

‘ 7 6.7 The Natural Exponential Function, the Inverse of ln 37-63odd,64; §6.10R3

‘ 8 6.8 Limits of Indeterminate Forms – L’Hospital’s Rule Qall#1-21odd; §6.10R4

‘ 9 6.8 Limits of Indeterminate Forms – L’Hospital’s Rule 23-35odd,36; §6.10R5ab

‘ 10 6.9 Derivative & Integral Practice for Transcendental Fun 1-45all; §6.10R5c

‘ 11 6.9 Derivative & Integral Practice for Transcendental Fun 46-90all; §6.10R6

‘ 12 6.10 Chapter Review R0,7-9

‘ 13 TEST §7.1#1-6all

Chapter 7 Assignments (9 Days) Day Section Topic Problems

‘ 1 7.2 Exponential Growth & Decay Qall#1-4all

‘ 2 7.2 Exponential Growth & Decay 5-9all; §7.8#1-7all

‘ 3 7.3 Other Differential Equations for Real World Application Qall#1,4

‘ 4 7.4 Graphical Solutions of Differential Equations-Slope Fields §7.3#5 & handout & Expl7.2

‘ 5 7.5 Numerical solutions of DEs - Euler’s Method Qall#1,3,5; §7.3#7

‘ 6 7.7 Chapter Review R0-R6

‘ 7 TEST §7.8#8-12,14-16

‘ 8-9 7.8 Cumulative Review Day 1#17-29; Day2#30-42