Calculus Timeline 1st Semester (Total 81 days)
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
‘ 14
‘ 15
‘ 16
Section
4.2
4.2
4.3
4.3
4.4
4.4
4.5
4.6
4.6
4.7
4.7
4.8
10.4
10.4
4.9
Chapter 4 Assignments (16 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
Derivative of a Parametric Function
Derivative of a Parametric Function
Graphs and Derivative of Implicit Relations
Related Rates
Related Rates
Chapter Review
TEST
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#1-5all
7,9,11,15 AP parametric
Qall#1-21odd
Qall#1-7odd
#8-12 §4.9R4
R5-R6, R8
§5.1#1-7all
§2.1#1-3
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
5.8
5.9
5.9
5.10
5.11
5.12
Chapter 5 Assignments (14 Days)
Topic
Review of Antiderivatives
Linear Approximation and Differentials
Formal Definition of Antiderivative and Indefinite Integral
u-substitution Do “mc antiderivative from old tests” &
Riemann Sums, and the Definition of Definite Integral
The Mean Value Theorem and Rolle’s Theorem
The MVT and Rolle’s Theorem (Quiz)
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
“HW after 5.4” handout
Qall#1-11odd; §5.4#43
Qall#1,2,3-21odd;§5.4#47
23-33odd,39-41;§5.4#48
§5.9#1-8all
Qall9-23odd;§5.8#1,3,7-10
25-37odd, 38; §5.12R2-4
Qall#1,3; §5.12R5
Qall#1,3,7,9,11; §5.10#4,5
R0,R6-11
§6.1#1-7all
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
§7.3#5 & handout & Expl7.2
Qall#1,3,5; §7.3#7
R0-R6
§7.8#8-12,14-16
Day 1#17-29; Day2#30-42
7.8