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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
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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.

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Page 1: 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.

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

Page 2: 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.

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.

Page 3: 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.

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

Page 4: 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.

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.

Page 5: 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.

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.

Page 6: 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.

Chapter 1 Test

Day 7 (8/29/2012) Assignment• Homework: Read section 2.1

Page 7: 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.

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,

Page 8: 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.

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.

Page 9: 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.

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.

Page 10: 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.

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,

Page 11: 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.

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

Page 12: 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.

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).

Page 13: 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.

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.

Page 14: 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.

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.

Page 15: 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.

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.

Page 16: 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.

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

Page 17: 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.

Day 17 (9/13/2012)

Chapter 2 Test

Page 18: 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.

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.

Page 19: 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.

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

Page 20: 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.

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

Page 21: 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.

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.

Page 22: 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.

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.

Page 23: 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.

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.

Page 24: 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.

Review Derivatives

Page 25: 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.

Day 24 (9/25/2012)

• Hand out Emergency Lesson Plans

Page 26: 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.

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.

Page 27: 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.

Solve each problem by using Chain Rule

Page 28: 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.

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.

Page 29: 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.

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.

Page 30: 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.

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

Page 31: 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.

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

Page 32: 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.

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

Page 33: 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.

Day 31 10/5/2012

Chapter 3 Test

Page 34: 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.

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,.

Page 35: 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.

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.

Page 36: 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.

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.

Page 37: 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.

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

Page 38: 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.

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.

Page 39: 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.

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.

Page 40: 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.

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.

Page 41: 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.

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.

Page 42: 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.

Day 40 10/18/ 2012

Quiz Sections 4.4-4.6

Page 43: 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.

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.

Page 44: 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.

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.

Page 45: 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.

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

Page 46: 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.

Day 43 10/24/2012

Chapter 4 Test

Page 47: 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.

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.

Page 48: 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.

Day 45 10/26/2012

• NO School Teachers Planning Day

Page 49: 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.

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.

Page 50: 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.

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)

Page 51: 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.

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.

Page 52: 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.

Day 52 11/7/2012

Chapter 5 Test

Page 53: 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.

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.

Page 54: 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.

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.

Page 55: 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.

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

Page 56: 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.

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.

Page 57: 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.

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.

Page 58: 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.

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.

Page 59: 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.

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.

Page 60: 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.

Day 60 11/20/2012

Quiz Sections 6.2-6.3

Page 61: 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.

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.

Page 62: 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.

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.

Page 63: 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.

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.

Page 64: 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.

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.

Page 65: 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.

Day 65 11/30/2012

Quiz Sections 6.4-6.6

Page 66: 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.

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.

Page 67: 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.

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.

Page 68: 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.

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.

Page 69: 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.

Day 69 12/6/2012

Chapter 6 Test

Page 70: 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.

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.

Page 71: 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.

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.

Page 72: 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.

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.

Page 73: 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.

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.

Page 74: 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.

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

Page 75: 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.

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.

Page 76: 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.

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

Page 77: 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.

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

Page 78: 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.

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.

Page 79: 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.

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

Page 80: 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.

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

Page 81: 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.

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.

Page 82: 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.

Day 82 1/8/2013

Chapter 7 Test

Page 83: 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.

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.

Page 84: 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.

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.

Page 85: 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.

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

Page 86: 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.

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.

Page 87: 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.

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.

Page 88: 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.

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

Page 89: 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.

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

Page 90: 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.

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.

Page 91: 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.

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

Page 92: 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.

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*

Page 93: 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.

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

Page 94: 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.

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.