Section 1.2 Functions and Graphs
Day 2 (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 hand-
out.Homework Read section 1.3
Section 1.2 Functions and Graphs
Day 3 (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.
Day 4 (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 Functions and Logarithmic
Section 1.5 Trigonometric Functions
Day 5 (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, 19-
27 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 # 20-
28 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) 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.
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.
Section 2.3 Continuity
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.
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 Continuity
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.
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 Quiz
Day 13 (9/7/2012)Objectives:
AssignmentClass Work:Go over homework questions. Quiz Homework Read section 2.4 Work on problems Page 92 # 5,
9 ,11, 13, 15.
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.
Section 2.4 Rate of Change and Tangent Lines
Day 14 (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 Review
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.
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 Review
Day 16 9/12/2012Objectives:• Review:
1. Properties of limit.
2. Continuous functions.
3. Intermediate Value Theorem
4. Tangent to a curve.
5. Normal to a curve.
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 Derivative of a function
Day 18 (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 Differentiability
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.
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 3.1-3.5
Day 23 (9/24/2012)Objectives:• Review differentiation rules
and derivatives of trigonometric functions.
Assignment Class Work Go over the warm up Hand-outHomework 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 Chain Rule
Day 25 (9/27/2012)Objectives:• Find the derivatives of
composed functions. • Use Chain Rule to find the
derivative analytically.
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 WorkGo 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 Review
Day 28 (10/2/2012)Objectives: • Use all differentiation rules
to find the derivative. • Use the derivative concept
to solve application problems.
Assignment Class Work/ Homework • Hand –out
Chapter 3 Review
Day 29 10/2/2012
Objectives: • Use all differentiation rules
to find the derivative. • Use the derivative concept
to solve application problems.
Assignment Class Work/ Homework • Hand –out
Chapter 3 Review
Day 30 10/4/2012
Objectives: • Use all differentiation rules
to find the derivative. • Use the derivative concept
to solve application problems.
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.HomeworkPage 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 WorkGo 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 Modeling and Optimization
Day 34 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. HomeworkPage 226 1, 3, 7, 19, 23, 25.
Section 4.1- 4.4 Quiz
Day 35 10/11/ 2012 Objectives:• Review and test concepts of
sections 4.1- 4.4
Assignment Class work • Go over homework
questions. • 30 min Quiz
Section 4.4 Modeling and Optimization
Day 36 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, 25And 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. HomeworkPage 243 # 19, 23, 25, 29. 35,
37, 41, 45, 49.
Section 4.6 Related Rates
Day 39 10/17/ 2012 Objectives:Model rates of change,
including related rates problems.
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 10/19/2012Objectives:• Review • First and second derivative
test. • Optimization problems.• Linearization and
differentials. • Related rate problems.
AssignmentClass 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 10/23/2012Objectives:• Review • First and second derivative
test. • Optimization problems.• Linearization and
differentials. • Related rate problems.
Assignment Class Work • AP Questions Hand OutHomework • Finish the Hand Out
Day 43 10/24/2012
Chapter 4 Test
Section 5.1 Estimating with Finite Sums.
Day 44 10/25/2012Objectives. • 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 10/30/2012Objectives:• 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.
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.
(Block Schedule)
Chapter 5 Review
Day 51 11/5/2012Objectives:• 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.
Day 53 11/8/2012Objectives:• Use substitution method to
evaluate indefinite and definite integrals.
Assignment
• 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 11/14/2012Objectives:• 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 Antidifferentiation by Parts
Day 57 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 Antidifferentiation by Parts
Day 58 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 11/19/2012Objectives: • 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/ 26/2012Objectives:• 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 11/27/2012Objectives:• 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 11/28/2012Objectives:• 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 Logistical Growth
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.
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 Logistical Growth
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.
Assignment Class work • Go over examples page 365-
366 # 4 and 5 Page 370 # 35.
Homework Page 369 # 23-31 odd.
Section 6.5 Logistical Growth
Day 67 12/4/2012Objectives:• Integrate partial fractions
with two and three factors. • Use log division and partial
fractions to Integrate • Logistic Differential
Equation.
Assignment Class Work Page 370 # 39-44 all.Quick Review page 372 # 1-4
all.
Chapter 6 Review
Day 68 12/ 5/ 2012Objectives:• 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 12/7/2012Objectives: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 379-
384.
Section 7.1 Integral As Net Change
Day 71 12/10/2012
Objectives:Use integration as a net
change. Solve problems involving
motion and consumption.
Assignment Class work• Go over net change
examples. HomeworkPage 386 # 3, 7, 9, 11, 19,
21,27.
Section 7.2 Area in the Plane
Day 72 12/11/2012Objectives:Find the area between two
curves. Integrating with respect to y. Use geometric formulas t find
the area under the curve.
Assignment Class Work • Go over examples # 1,3 ,4.Homework:Page 395 # 3, 5, 13, 33, 35,
37,41.
Sections 7.1-7.2 Practice
Day 73 12/12/2012Objectives:Find the area between two
curves. Integrating with respect to y. Use geometric formulas t find
the area under the curve.
Assignment Class Work • Page 388 # 31-36 all, Page
397 # 50- 55 all.
Answers Page 388-397
• Page 388 Page 397• 31.F 50.T• 32.T 51.F • 33.C 52.A• 34.D 53.E• 35.B 54.B• 36.A 55.A
Section 7.3 Volumes
Day 74 12/13/2013Objectives:Find the Volume as an integral. Find the volume as a cross
section. Use circular cross sections to
find the volume.
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 Volumes
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.
Assignment Class workGo 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 VolumesDay 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.
Assignment Class Work • Finish the hand out
Section 7.4 Lengths of Curves
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.
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 Lengths of Curves
Day 79 12/20/2012Objectives:• 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.
Assignment Class WorkGo over the warm up Class Work Page 416 # 24, page 417 3 32-
37 all. Homework• Hand out
Section 7.4 Lengths of Curves
Day 80 12/21/2012Objectives:• 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.
Assignment Class Work • Finish the hand outHomework• Review chapter 1-7
Chapter 7 Review
Day 81 1/7/2013Objectives:• 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 WorkPage 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 Improper Integrals
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
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 Improper Integrals
Day 90 1/17/2013
Objectives:• Evaluate integrals with
infinite limit of integration. • Evaluate integrals with a
infinite discontinuity .• Test of convergence and
divergence.
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 Sequences.
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.
AssignmentClass 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 9.1-9.2
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.
AssignmentClass Work • Hand out
Quiz Sections 9.1-9.2
Day 97 1/31/2013Objectives.• 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.