Section 1.2
Day 2
Functions and Graphs
(8/21/2012)
Objectives:
• Identify the domain and
the range of a function
using its graph or equation.
• Recognize even and odd
functions using equations
and graphs.
• Find the formula of a
piecewise function.
• Write and evaluate
compositions of functions.
Assignment
Class work
• Go over the LCD Power
Point presentation.
• Start working on the handout.
Homework
Read section 1.3
Section 1.2
Day 3
Functions and Graphs
(8/22/2012)
Objectives:
• Identify the domain and
the range of a function
using its graph or equation.
• Recognize even and odd
functions using equations
and graphs.
• Find the formula of a
piecewise function.
• Write and evaluate
compositions of functions.
Assignment
Class work
• Go over the homework
hand out questions.
• Go over the LCD Power
Point presentation section
1.3
Homework
Page 26 # 1,5, 17, 21, 23, 25,
29, 31.
Section 1.5
Day 4
Functions and Logarithmic
(8/23/2012)
Objectives:
• . Determine the domain the
range and the graph of
Logarithmic function.
•
Solve problems using
properties of logs and
logarithmic function.
Assignment
Class work
• Warm – Up Quick Quiz on
page 29.( 10 min)
• Go over the LCD Power
point presentation.
Homework
• Page 44-45 # 3, 11, 13, 19,
33, 35, 37, 43, 47, 51* .
Section 1.5
Day 5
Trigonometric Functions
(8/24/2012)
Objectives:
•
Identify the periodicity
and even-odd properties of
the trigonometric functions.
• Generate the graph of the
trigonometric functions and
explore various
transformations.
Assignments
Class work
Warm-up page 45 # 52-57 all.
LCD Power Point presentation.
Go over examples 3, 4, 7, and 8.
Homework:
Page 52 # 1-4 all, 9 11, 14, 17,
19, 27-35 odd,37, 39, 41, 42.
Chapter 1 Review
Day 6
(8/28/2012)
Objectives:
• Review concepts of
sections 1.1-1.6.
Assignments
Class work
Page 54 # 50-55 all.
Page 55 # 1-4 all.
Homework:
Page 59 # 11, 15, 22, 25, 27,
31, 33, 35, 39, 41, 57, 61,
63, 65.
Chapter 1 Test
Day 7
(8/29/2012)
Assignment
• Homework:
Read section 2.1
Section 2.1
Rates of change and Limits
Day 8
(8/30/2012)
• Objectives:
• Find average and
instantaneous Speed.
• Use the properties of limits
to evaluate a limit.
• Evaluate one sided and two
sided limits.
• Use the Sandwich Theorem
to evaluate a limit.
Assignment
Class Work
• Go over the test
• Go over definition of limit
and example 8 page 64.
Homework:
Page 66-67 # 1,3, 5, 11, 15, 1927 odd 37, 38, 39,
Section 2.1
Rates of change and Limits
Day 9
(8/31/2012)
Objectives:
• Find average and
instantaneous Speed.
• Use the properties of limits
to evaluate a limit.
• Evaluate one sided and two
sided limits.
• Use the Sandwich Theorem
to evaluate a limit.
Assignment
Class work
• Go over homework
questions.
• Go over page 66-67 # 2028 even, 52, 55, 62.
Homework
• Page 66-68 # 39-50 all,
51,53, 59, 61, 65-70 all.
Section 2.2
Limits involving Infinity
Day 10
(9/4/2012)
Objectives:
• Use the properties of limits
to evaluate a limit involving
infinity .
• Evaluate one sided and two
sided limits.
• Use the Sandwich Theorem
to evaluate a limit.
Assignment
Class Work
• Go over homework
questions.
• 20 (min) quiz
• Go over LCD lectures.
Homework
• Page 76- 77 # 11, 13, 15, 19,
21, 23, 27, 33, 35-38 all, 39,
43, 53, 55.
Section 2.3
Day 11
(9/5/2012)
Objectives:
• Understand continuity at a
point.
• Understand continuous
functions.
• Understand continuity and
composite functions.
• Understand the
Intermediate Value Theorem
for Continuous Functions.
Continuity
Assignment
Class Work
• Page 77 # 59- 64 all, Quick
Quiz 1- 4 all.
• Go over the quiz.
• Go over definition of
continuity and examples.
Homework
• Page 84-85 # 11-18 all. 19,
23, 25, 29, 41, 43, 47, 49,
Section 2.3
Day 11
(9/6/2012)
• Objectives:
• Understand continuity at a
point.
• Understand continuous
functions.
• Understand continuity and
composite functions.
• Understand the
Intermediate Value Theorem
for Continuous Functions.
Continuity
Assignment
Class Work
• Go over the homework
questions.
• Work on page 85 # 54-59
all.
Homework:
• Hand- out
Answers of even # on page 84
•
•
•
•
•
•
•
•
•
2. x=1 and x=3 both infinite discontinuity.
4. None.
6. None.
8. X= kπ for k integer. Infinite discontinuity.
10. all point not on the domain x< -1.
12. a) yes, b) yes, c) No d) No,
14. every were on [-1, 3) except for x = 0, 1, 2.
16. 2
18. yes, assign the value 0 to f(3).
Section 2.3
Day 13
Objectives:
(9/7/2012)
1. Understand continuity at a
point.
2. Understand continuous
functions.
3. Understand continuity and
composite functions.
4. Understand the Intermediate
Value Theorem for
Continuous Functions.
Quiz
Assignment
Class Work:
Go over homework questions.
Quiz
Homework
Read section 2.4
Work on problems Page 92 # 5,
9 ,11, 13, 15.
Section 2.4
Day 14
Rate of Change and Tangent Lines
(9/10/2012)
• Objectives:
• Understand tangent to a
curve.
• Slope of the tangent to a
curve.
• Understand normal to a
curve.
Assignment
Class Work
• Go over the Quiz.
• Go over page 92 # 10, 14,
24, 30,32.
Homework:
Page 93 # 17,19, 23-31 odd, 33
(a-c, only).
35-40 all.
Chapter 2
Day 15
(9/11/2012)
Objectives:
• Review:
1. Properties of limit.
2. Continuous functions.
3. Intermediate Value
Theorem
4. Tangent to a curve.
5. Normal to a curve.
Review
Assignment
Class Work
Go over homework questions.
Page 94 35-40 all.
Quick Quiz on page 94 1-3 all.
Homework
Page 95-97 # 3, 9, 15-19 odd,
25, 29, 33, 41, 43, 47, 49,
53.
Chapter 2
Day 16
9/12/2012
Objectives:
• Review:
1. Properties of limit.
2. Continuous functions.
3. Intermediate Value
Theorem
4. Tangent to a curve.
5. Normal to a curve.
Review
Assignment
Class Work
• Go over homework
questions.
• Hand- out.
Homework
Finish the hand-out
Day 17
(9/13/2012)
Chapter 2 Test
Section 3.1
Day 18
Derivative of a function
(9/14/2012)
• Objectives:
• Understand and use the
definitions of derivative.
Use proper notation.
• Understand the
relationships between the
graphs of f and f’.
• Graph the derivative from
DATA.
• Find one-sided Derivatives.
Assignment
Class work
• Finish the quiz.
• Review concept of section
3.1.
• The graph of f and the
graph of f’.
Homework
• Page 105 # 5-11 odd, 13-16
all, 17, 23, 26, 27, 31.
Section 3.2
Day 19
(9/ 18/ 2012)
Objectives:
• Understand how f’(a) might
fail to exist.
• See how differentiability
implies local linearity.
• Understand how
differentiability implies
Continuity.
• Intermediate Value
Theorem for Derivatives.
Differentiability
Assignment
Class work
• Go over the Quiz.
• Page 108 # 36-42 all.
• Go over Examples 1-4 and
Theorems 1-2.
Homework
Page 114 # 5-15 odd, 39
Section 3.3
Rules of Differentiation
Day 20
(9/19/2012)
Objectives:
• Use differentiation rules to
find the derivative.
Assignment
Class Work
• Page 115 # 40,41,42,44,45.
• Page 124 # 7, 14, 18, 24, 30,
34, 38, 53-58 all.
Homework
• Study examples of section
3.4
Section 3.4 Velocity and Other Rates of
Change.
Day 21
(9/20/2012)
Objectives:
• Find the instantaneous rate
of change.
• Find motion along a line.
Find the sensitivity to
change and use derivatives
in economics.
Assignment
Class Work
• Go over marginal cost
Example. Go over page 135
# 4 , 8, 10, and 18.
Homework:
Page 135-136 # 3, 9, 11, 19,21,
23,27.
Section 3.5
Derivatives of
trigonometric functions.
Day 22
(9/21/2012)
Objectives:
• Find the derivative of sin(x),
cos(x), tan(x), cot(x), sec (x0,
csc(x).
Assignment
Class Work
• Page 139 # 34, 37-46 all.
Homework
Page 146 # 5, 7, 10, 15, 21, 23,
27, 29. 31.
Review Sections
Day 23
(9/24/2012)
Objectives:
• Review differentiation rules
and derivatives of
trigonometric functions.
3.1-3.5
Assignment
Class Work
Go over the warm up
Hand-out
Homework
Review examples of section
3.6. Finish the hand out.
Review Derivatives
Day 24
(9/25/2012)
• Hand out Emergency Lesson Plans
Section 3.6
Day 25
(9/27/2012)
Objectives:
• Find the derivatives of
composed functions.
• Use Chain Rule to find the
derivative analytically.
Chain Rule
Assignment
Class work
• 30 min quiz
• Go over Chain Rule
examples page 153 # 1, 14,
24, 26,58.
Homework
• Page 153 # 3, 9, 11, 15, 21,
23, 27, 56, 70-73 all.
Solve each problem by using Chain Rule
Section 3.7 Implicit Differentiation
Day 26
(9/28/2012)
Objectives:
1. Implicitly defined
functions.
2. Implicit differentiation
process
Assignment
Class Work
Go over the Chain Rule
examples.
Go over page 162 # 10, 12, 18,
54.
Homework
Page 162 # 9, 11, 13, 17, 23,
25,33, 49*, 59-64 all.
Section 3.8-3.9
Derivatives of
Inverse Trigonometric Functions.
Day 27
(10/1/2012)
• Objectives:
• Derivatives of inverse
trigonometric functions.
• Derivatives of exponential
and logarithmic functions.
Assignment
Class Work
• Go over the Quiz
• Review differentiations rules
for inverse trig functions,
logarithmic and exponential
functions.
Class work /Homework
• Page 170 # 3, 9, 13, 15, 21, 27,
31, 35-40 all. Page 178# 5, 11,
19, 21, 25, 31, 37, 39, 43, 51.
Chapter 3
Day 28
(10/2/2012)
Objectives:
• Use all differentiation rules
to find the derivative.
• Use the derivative concept
to solve application
problems.
Review
Assignment
Class Work/ Homework
• Hand –out
Chapter 3
Day 29
10/2/2012
Objectives:
• Use all differentiation rules
to find the derivative.
• Use the derivative concept
to solve application
problems.
Review
Assignment
Class Work/ Homework
• Hand –out
Chapter 3
Day 30
10/4/2012
Objectives:
• Use all differentiation rules
to find the derivative.
• Use the derivative concept
to solve application
problems.
Review
Assignment
Class Work/ Homework
• Hand –out AP- Questions
Day 31
10/5/2012
Chapter 3 Test
Section 4.1 Extreme Values of Functions
Day 32
10/ 8/2012
• Objectives:
• Find absolute extreme
values and local extreme
values.
• Apply the Mean Value
Theorem.
• Apply derivatives to
increasing and decreasing
functions.
Assignment
Class work
Go over the extreme value
theorem.
• Go over Example # 5 page
191 and 1,2, 3, on page 193.
Homework
Page 194 # 5, 7, 9, 13, 15, 17,
23, 39,.
Section 4.2-4.3
Mean Value
Theorem and Connecting f with f’ and f”.
Day 33
10/9/2012
• Objectives:
• Find absolute extreme
values and local extreme
values.
• Apply the Mean Value
Theorem.
• Apply derivatives to
increasing and decreasing
functions.
Assignment
Class Work
Go over the Test
• Go over Mean Value
Theorem # 12 page 202
and # 40 page 203.
• Go over # 26 page 215.
Homework
• Page 202 # 7, 11, 19. page
215 # 1, 11, 13, 15, 21, 25,
29, 33, 37, 41, 45, 47.
Section 4.4
Day 34
Modeling and
Optimization
10/11/2012
Objectives:
• Use the derivatives to so
solve optimization
problems.
Assignment
Class work
Solve page 218 # 55-60 .
G over homework questions.
Go over Theorem 6 and 7
page 223.
Homework
Page 226 1, 3, 7, 19, 23, 25.
Section 4.1- 4.4
Day 35
10/11/ 2012
Objectives:
• Review and test concepts of
sections 4.1- 4.4
Quiz
Assignment
Class work
• Go over homework
questions.
• 30 min Quiz
Section 4.4
Day 36
Modeling and
Optimization
10/12/ 2012
Objectives:
• . Use the derivatives to so
solve optimization
problems.
Assignment
Class Work
• Go over the Quiz
• Check the Examples of
section 4.4 and solve the
following problems.
Page 226 # 1, 3, 7, 19, 23, 25
And page 226 # 9, 18.
Section 4.5
Linearization
and Newton’s Method
Day 37
10/15/ 2012
Objectives:
• Use linearization to
approximate a function at a
given point.
• Use Newton’s method to
find the zeros of e given
function.
Assignment
Class Work
• Go over definition of
Linearization and example #
1,3, 4 on page 234.
• Go over Newton’s Method.
Homework
1-9 odd, 11, 13, 15, 17.
Section 4.5
Linearization
and Newton’s Method
Day 38
10/16/ 2012
Objectives:
• Use differentials to estimate
the Absolute change,
Relative change, and
Percentage change of a
function.
Assignment
Class Work
Go over differentials.
Start working on the
homework.
Homework
Page 243 # 19, 23, 25, 29. 35,
37, 41, 45, 49.
Section 4.6
Day 39
10/17/ 2012
Objectives:
Model rates of change,
including related rates
problems.
Related Rates
Assignment
Class Work
Go over example of related
rates.
Homework
Page 251 # 9, 13, 19, 29, 34.
Day 40
10/18/ 2012
Quiz Sections 4.4-4.6
Chapter 4 Review
Day 41
10/19/2012
Objectives:
• Review
• First and second derivative
test.
• Optimization problems.
• Linearization and
differentials.
• Related rate problems.
Assignment
Class Work
• Go over the quiz
• Start the homework
Homework
Page 256 # 13, 17, 27, 32, 33,
35, 37, 39, 43, 49, 53.
Chapter 4 Review
Day 42
10/22/2012
Objectives:
• Review
• First and second derivative
test.
• Optimization problems.
• Linearization and
differentials.
• Related rate problems.
Assignment
Class Work
• Chapter 4 AP Questions
Hand out.
Chapter 4 Review
Day 43
10/23/2012
Objectives:
• Review
• First and second derivative
test.
• Optimization problems.
• Linearization and
differentials.
• Related rate problems.
Assignment
Class Work
• AP Questions Hand Out
Homework
• Finish the Hand Out
Day 43
10/24/2012
Chapter 4 Test
Section 5.1
Estimating with
Finite Sums.
Day 44
10/25/2012
Objectives.
• Use Rectangular
Approximation Method
(RAM). To find area under
the curve and volume of a
solid.
Assignment
Class Work
• Read Examples 1 and 4 on
page 264-269.
Homework
Page 270 # 1, 3, 15, 17.
Day 45
10/26/2012
• NO School Teachers Planning Day
Section 5.1-5.3
Estimating
with Finite Sums Definite Integrals .
Day 47
10/30/2012
Objectives:
• Use Rectangular
Approximation Method
(RAM).
• Riemann Sum
• Compute definite integrals.
(Block Schedule)
Assignment
Class Work
Review RAM and the definition
of definite integral.
• Page 127 # 3, 17.
• Page 273 # 31-36 all.
• Page 282 # 1-6 all. 29, 31,
page 283 # 41-46 all .
• Page 290 # 1, 3, 11, 15, 19,
21, 27.
Section 5.4-5.5
Fundamental Theorem
of Calculus And Trapezoidal Rule
DAY 49
11/1/2012
Objectives:
• Review and use the
fundamental theorem of
calculus.
• Review Trapezoidal Rule.
(Block Schedule)
Assignment
Class Work
Review the fundamental
theorem of Calculus
• Page 292 # 47-50 all
• Page 293 # 1-4 all.
• Page 302 # 3, 9, 11, 19,21,
23, 27-39 odd and 57.
• Page 312 # 7.
Chapter 5 Review
Day 51
11/5/2012
Objectives:
• Use Rectangular
Approximation Method
(RAM).
• Riemann Sum
• Review and use the
fundamental theorem of
calculus.
• Review Trapezoidal Rule.
Assignment
Class work
• Page 314 # 31-35 all.
• Page 315 Quick Quiz 1-4 all.
• Page 315-318 # 9, 12, 13,
15, 19, 23,27, 33, 39, 40, 46,
54.
Day 52
11/7/2012
Chapter 5 Test
Section 6.2
Antidifferentiation
by substitution.
Assignment
Day 53
11/8/2012
Objectives:
• Use substitution method to
evaluate indefinite and
definite integrals.
• Go over examples of
integration by substitution.
Class Work/Homework
• Page 338 # 17-23 odd, 25,
27, 29, 33, 39, 47, 49, 53,
55, 61, 65.
Section 6.1
Slope Fields
and Euler’s Method
Day 54
11/9/2012
Objectives:
• Differential Equations
• Slope Fields
• Euler’s Method
Assignment
Class Work
• Go over definition of
differential equations and
slope fields.
Class Work/ Homework
Page 327 # 5, 9, 11, 17, 21*,
23, 25, 29, 31, 35, 37, 41,
43.
Section 6.2
Antidifferentiation
by Substitution
Day 55
11/13/2012
Objectives:
• Use substitution method to
evaluate indefinite and
definite integrals.
Assignment
Class Work
• Go over Chapter 5 test.
• Go over homework
questions.
• Hand out
Due on 11/14/2012
Section 6.3
Antidifferentiation by
Parts
Day 56
11/14/2012
Objectives:
• Use product Rule to derive
Integration by Parts
Method.
• Solve for the unknown
Integral.
Assignment
Class Work
• Go over integration by parts
method.
• Go over examples of
integration by parts.
Homework
Finish the hand out.
Section 6.3
Day 57
Antidifferentiation by
Parts
11/15/2012
Objectives:
• Use product Rule to derive
Integration by Parts
Method.
• Solve for the unknown
Integral.
Assignment
Class Work
• Go over integration by parts
method.
• Go over examples of
integration by parts.
Homework
Page 346 # 1-23 odd.
Section 6.3
Day 58
Antidifferentiation by
Parts
11/16/2012
Objectives:
• Use product Rule to derive
Integration by Parts
Method.
• Solve for the unknown
Integral.
Assignment
Class Work
• Go over homework
questions.
Page 346 # 2-28 even
Page 347 # 36-38 all.
Section 6.1
Slope Fields
and Euler’s Method
Day 59
11/19/2012
Objectives:
• Differential Equations
• Slope Fields
• Euler’s Method
Assignment
Class Work
• Go over definition of
differential equations and
slope fields.
Class Work/ Homework
Page 327 # 5, 9, 11, 17, 21*,
23, 25. 41,43.
Day 60
11/20/2012
Quiz Sections 6.2-6.3
Section 6.4
Exponential Growth
and Decay
Day 61
11/ 26/2012
Objectives:
• Find the solution of e
differential equation by
separating variables.
• Low of exponential change.
• Exponential growth and
Decay
Assignment
Class Work
• Go over the Quiz Questions.
• Solve differential equations
by separation variables.
Homework:
Page 357 # 1-9 odd, 15-18 all.
19, 21, 23, 25.
Section 6.4
Exponential Growth
and Decay
Day 62
11/27/2012
Objectives:
• Find the solution of e
differential equation by
separating variables.
• Low of exponential change.
• Exponential growth and
Decay
Assignment
Class Work
• Go over the Quiz Questions.
• Solve differential equations
by separation variables.
• Hand out
Homework:
• Finish the hand out.
Section 6.5 Logistical Growth
Day 63
11/28/2012
Objectives:
• Integrate partial fractions
with two and three factors.
• Use log divizion and partial
fractions to Integrate
Assignment
Class Work
Go over the warm up page 360
47-52 all.
Go over Homework questions.
Homework:
Page 369 # 1-17 odd.
Section 6.5
Day 64
11/29/2012
Objectives:
• Integrate partial fractions
with two and three factors.
• Use log divizion and partial
fractions to Integrate
• Logistic Differential
Equation.
Logistical Growth
Assignment
Class Work:
Go over Homework Questions.
Page 369 # 6-14 even. Page
357 # 8, 31.
Day 65
11/30/2012
Quiz
Sections 6.4-6.6
Section 6.5
Day 66
12/3/2012
Objectives:
• Integrate partial fractions
with two and three factors.
• Use log division and partial
fractions to Integrate
• Logistic Differential
Equation.
Logistical Growth
Assignment
Class work
• Go over examples page 365366 # 4 and 5 Page 370 #
35.
Homework
Page 369 # 23-31 odd.
Section 6.5
Day 67
12/4/2012
Objectives:
• Integrate partial fractions
with two and three factors.
• Use log division and partial
fractions to Integrate
• Logistic Differential
Equation.
Logistical Growth
Assignment
Class Work
Page 370 # 39-44 all.
Quick Review page 372 # 1-4
all.
Chapter 6 Review
Day 68
12/ 5/ 2012
Objectives:
• Review Euler’s Method
• Slope fields.
• Integration by substitution
and by parts.
• Exponential growth and
Decay.
• Logistical Equation
Assignment
Class Work
Check this week homework
ask questions.
Page 373 # 5, 7, 11, 13, 21,
23,33, 39,41,51, 53.
Day 69
12/6/2012
Chapter 6 Test
Section 7.1
Integral As Net Change
Day 70
12/7/2012
Objectives:
Use integration as a net
change.
Solve problems involving
motion and consumption.
Assignment
Class Work
Go over the chapter 6 test
Homework
Read examples 1-6 page 379384.
Section 7.1
Day 71
Integral As Net Change
12/10/2012
Objectives:
Use integration as a net
change.
Solve problems involving
motion and consumption.
Assignment
Class work
• Go over net change
examples.
Homework
Page 386 # 3, 7, 9, 11, 19,
21,27.
Section 7.2
Day 72
12/11/2012
Objectives:
Find the area between two
curves.
Integrating with respect to y.
Use geometric formulas t find
the area under the curve.
Area in the Plane
Assignment
Class Work
• Go over examples # 1,3 ,4.
Homework:
Page 395 # 3, 5, 13, 33, 35,
37,41.
Sections 7.1-7.2
Day 73
12/12/2012
Objectives:
Find the area between two
curves.
Integrating with respect to y.
Use geometric formulas t find
the area under the curve.
Practice
Assignment
Class Work
• Page 388 # 31-36 all, Page
397 # 50- 55 all.
Answers Page 388-397
•
•
•
•
•
•
•
Page 388
31.F
32.T
33.C
34.D
35.B
36.A
Page 397
50.T
51.F
52.A
53.E
54.B
55.A
Section 7.3
Day 74
12/13/2013
Objectives:
Find the Volume as an integral.
Find the volume as a cross
section.
Use circular cross sections to
find the volume.
Volumes
Assignment
Class Work.
Check the answers of
yesterday’s class work.
• Read problems #8, 10, 2 a,
b page 406
Homework
Page 406-407 # 1, 7, 9, 23, 39,
33.
Section 7.3
Day 76
12/17/2012
Objectives:
Find the Volume as an integral.
Find the volume as a cross
section.
Use circular cross sections to
find the volume.
Volumes
Assignment
Class work
Go over examples on
revolution and cross
section volumes.
• Page 409 63-68 all.
• Page 411 1-4 all.
Due in the end of the class.
Homework:
Hand out
Section 7.3
Day 77
12/18/2012
Objectives:
Find the Volume as an integral.
Find the volume as a cross
section.
Use circular cross sections to
find the volume.
Volumes
Assignment
Class Work
• Finish the hand out
Section 7.4
Day 78
12/19/2012
Objectives:
• Derive the length of a curve
formula from distance
formula.
• Find the length of the curve
for curves that have vertical
tangents or corners in their
graphs.
Lengths of Curves
Assignment
Class Work
• Go over length of the curve
formula.
• Go over example # 3-4 page
415.
Homework
• Page 416 # 3,7, 9, 11, 13,
19, 21.
Section 7.4
Day 79
12/20/2012
Objectives:
• Derive the length of a curve
formula from distance
formula.
• Find the length of the curve
for curves that have vertical
tangents or corners in their
graphs.
Lengths of Curves
Assignment
Class Work
Go over the warm up
Class Work
Page 416 # 24, page 417 3 3237 all.
Homework
• Hand out
Section 7.4
Day 80
12/21/2012
Objectives:
• Derive the length of a curve
formula from distance
formula.
• Find the length of the curve
for curves that have vertical
tangents or corners in their
graphs.
Lengths of Curves
Assignment
Class Work
• Finish the hand out
Homework
• Review chapter 1-7
Chapter 7 Review
Day 81
1/7/2013
Objectives:
• Find the Volume as an
integral.
• Find the volume as a cross
section.
• Use circular cross sections
to find the volume.
• Use length of a curve
formula to find the arc
length.
Assignment
Class Work
Page 430-431 # 1, 5, 17, 21, 24,
27, 55.
Day 82
1/8/2013
Chapter 7 Test
Section 8.2 L’Hopital’s Rules.
Day 83
1/9/2013
Objectives:
• Use L’Hopital’s Rules
to find the limit.
• Indeterminate forms 0/0,
and ∞/∞.
Assignment
Class Work
Examples of L’Hopital’s Rules.
Show examples for which
L’Hopital’s Rules does not
work.
Homework
Page 450 # 9-25 odd, 33, 39,
45, 51.
Section 8.3 Relative Rates of Growth
Day 84
1/10/2013
Objectives:
Compare Rates of Growth.
Use L’Hopital’s Rues to find
Rates of Growth.
Assignment
Class Work
Go over the Test
Go over Definition Faster,
Slower, Same-Rate of
Change .
Homework
Page 457 #1-27 odd.
Sections 8.2-8.3 Review
Day 85
1/11/2013
Objectives:
• Use L’Hopital’s Rules to find
the limit.
• Compare Rates of Growth.
• Use L’Hopital’s Rues to find
Rates of Growth.
Assignment
Class Work
• Page 451 # 62-69 all, Page
452 # 1-3 all.
• Page 458 # 46-51 all.
Due in the end of the class
Section 8.4
Day 87
1/15/2013
Objectives:
• Evaluate integrals with
infinite limit of integration.
• Evaluate integrals with a
infinite discontinuity .
• Test of convergence and
divergence.
Block schedule
Improper Integrals
Assignment
Class Work
• Go over examples 1-6 of all
forms of improper integrals.
• Page 467 # 1-13 odd, 19,
23, 25, 29, 31, 33, 35, 41.
Section 8.4
Day 90
1/17/2013
Objectives:
• Evaluate integrals with
infinite limit of integration.
• Evaluate integrals with a
infinite discontinuity .
• Test of convergence and
divergence.
Improper Integrals
Assignment
Class Work
Page 468 # 48-53 all.
Chapter 8 Review
Day 91
1/22/2013
Objectives:
• Use L’Hopital’s Rules to find
the limit.
• Evaluate integrals with
infinite limit of integration.
• Evaluate integrals with a
infinite discontinuity .
• Test of convergence and
divergence.
Assignment
Class Work
Go over the warm up
• Finish the hand-out
• Chapter Test
Chapter 8 Test Free
Day 93
1/24/2013
Objectives:
• Use L’Hopital’s Rules to find
the limit.
• Evaluate integrals with
infinite limit of integration.
• Evaluate integrals with a
infinite discontinuity .
• Test of convergence and
divergence.
Assignment
• Class Work
Test
Chapter 8 Test Free Response
Day 94
1/25/2013
Objectives:
• Use L’Hopital’s Rules to find
the limit.
• Evaluate integrals with
infinite limit of integration.
• Evaluate integrals with a
infinite discontinuity .
• Test of convergence and
divergence.
Class Work
• Finish the free response
questions.
Section 9.1
Day 95
1/28/2013
Objectives:
• List the terms of an
sequence.
• Determine if a sequence
converges or diverges.
• Write a formula of the n-th
term.
Sequences.
Assignment
Class Work
• Go over the definition of
the limit of a sequence.
• Go over theorem 9.1-9.5.
• Homework
Section 9.2
Series and
Convergence
Day 96
1/29/2013
Objectives:
• Understand the
convergence of infinite
series.
• Use the properties of
infinite geometric series.
• Use the n-th term test for
Divergence on an infinite
series.
Assignment
Class Work
• Go over the definition of
Convergent and Divergent
series.
• Go over geometric series.
Homework
• Page 614 # 1,5, 9-23
odd,25,27, 29*
Review Sections
Day 97
1/30/2013
• Objectives.
• Determine if a sequence
converges or diverges.
• Write a formula of the n-th term.
• Understand the convergence of
infinite series.
• Use the properties of infinite
geometric series.
• Use the n-th term test for
Divergence on an infinite series.
Assignment
Class Work
• Hand out
9.1-9.2
Quiz Sections 9.1-9.2
Day 97
1/31/2013
Objectives.
• Determine if a sequence
converges or diverges.
• Write a formula of the n-th term.
• Understand the convergence of
infinite series.
• Use the properties of infinite
geometric series.
• Use the n-th term test for
Divergence on an infinite series.
•
•
•
•
Assignment
Class Work
Quiz
Homework
Read the examples of the
next section.