First Day of School

First Day of School

Day 1 8/19/2013Objectives:• Go over the classroom rules

and regulations. • Go over the syllabus. • Discuss expectations and

answer questions .

Assignment • Homework • Finish the hand out review

section 1.1.

Section 1.2 Functions and Graphs

Day 2 8/20/2013Objectives:• 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 hand out

questions.• Go over concepts of 1.2. Homework Page 19 # 1,5,7, 17, 21, 23, 25,

29, 31,39,41,43.

Section 1.2 Functions and Graphs

Day 3 8/21/2013Objectives:• 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 trigonometry

problems. • Lessons on section 1.2Homework Finish yesterday’s homework.

Section 1.5 Functions and Logarithmic

Day 4 8/22/2013Objectives:• . 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 • Page 21 # 57-62 all( 15 min)• • Go over examples of

inverse functions.

Homework • Page 44-45 # 3, 11, 13, 19,

33, 35, 37, 43, 47, 51* .

Section 1.5 Trigonometric Functions

Day 5 23/8/2013Objectives:• Identify the periodicity

and even-odd properties of the trigonometric functions.

• Generate the graph of the trigonometric functions and explore various transformations.

Assignment Class work

Warm-up page 45 # 52-57 all.

Write the examples for graphs of trigonometric functions.

Solve problems written on the board.

Homework:

Page 52 # 1-4 all, 9 11, 14, 17, 19, 27-35 odd,37, 39, 41, 42.

Chapter 1 Review

Day 6 8/26/2013Objectives:• . Determine the domain the range and

the graph of Logarithmic function. • Solve problems using properties of

logs and logarithmic function• 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• Block schedule

Assignment Class work Page 54 # 50-55 all• Page 56-57 #

15,23,33,35,39,41, 61, 63 a and b, 69.

Section 2.1 Rates of change and Limits

Day 7 8/28/2013

• 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, 49,51,53.

Section 2.1 Rates of change and Limits

Day 8 8/30/2013

• 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.• Block Schedule

Assignment Class Work • Go over the test Homework:Page 66-67 # 1,3, 5, 11, 15, 19-

27 odd 37, 38, 39, 49,51,53.

Section 2.2 Limits involving Infinity

Day 9 9/3/2013Objectives:• 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.

• Block Schedule

Assignment Class Work • Go over homework

questions. Work on problems page 68 #

65-70 all. Homework • Page 76- 77 # 11, 13, 15, 19,

21, 23, 27, 33, 35-38 all, 39, 43, 53, 55.

Section 2.2 Limits involving Infinity

Day 10 9/5/2013Objectives:• 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.

• Block Schedule


questions. Finish the handout Homework Read the examples of section 2.3.

Section 2.3 Continuity

Day 14 9/9/2013Objectives:• 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,

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 Continuity

Day 15 9/10/2013 • Objectives:• Understand continuity at a





Assignment Class Work • Go over the homework

questions. • Work on page 85 # 54-59

all. Homework:• Hand- out

Section 2.3 Quiz

Day 16 9/11/2013• Objectives:• Understand continuity at a





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 Rate of Change and Tangent Lines

Day 17 9/12/2013• Objectives:• Understand tangent to a

curve.• Slope of the tangent to a

curve. • Understand normal to a

curve.

Assignment Class Work Go over Page 85 # 54-59 all • Go over the Quiz. Go over examples of the slope of the curve. Homework:Page 93 # 17,19, 23-31 odd, 33

(a-c, only).35-40 all.

Chapter 2 Review

Day 18 9/13/2013

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.

Section 3.1 Derivative of a function

Day 19 9/16/2013 • 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 • Go over the homework. • 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 20 9/17/2013 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 homework. • 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 21 9/18/2013Objectives:• Use differentiation rules to

find the derivative.

Assignment Class Work/Homework Go over examples of

differentiation Rules. • Page 115 # 40,41,42,44,45.• Page 124 # 7, 14, 18, 24, 30,

34, 38, 53-58 all. Homework • Study for the quiz.

Section 3.3 Rules of Differentiation

Day 22 9/19/2013 Objectives:• Use differentiation rules to

find the derivative. • Practice AP Questions.

Assignment Class Work • Page 124 # 2,4,8,14,24,28.• Page 125 # 53-58 all.• Page 126 Quick Quiz all.

Section 3.5 Derivatives of trigonometric functions.

Day 23 9/20/2013

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.

Section 3.6 Chain Rule

Day 24 9/23/2013

Objectives:• Find the derivatives of

composed functions. • Use Chain Rule to find the

derivative analytically.

Assignment Class Work Go over examples on

derivatives and chain rule .Homework Page 153 # 1- 31 odd.

Review Sections 3.5-3.6

Day 25 9/24/2013 Objectives:• Find the derivative of sin(x),

cos(x), tan(x), cot(x), sec (x), csc(x).

• Find the derivatives of composed functions.

• Use Chain Rule to find the derivative analytically.


questions. Class work • Page 154 # 56 and 58.

Section 3.4 Velocity and Other Rates of Change.

Day 26 9/25/2013 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 the homework. • Go over problems involving

velocity and other rates of change.

Homework:Page 135-136 # 3, 9, 11, 19,21,

23,27.







questions. • Practice AP Question.

Worksheet.

Sections 3.1-3.6 Quiz





Assignment Class Work • Quiz .

Section 3.7 Implicit Differentiation

Day 29 9/30/2013 Objectives:1. Implicitly defined

functions. 2. Implicit differentiation

process

Assignment Class WorkGo over the Quiz. 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 30 10/1 /2013 • Objectives:• Derivatives of inverse

trigonometric functions.• Derivatives of exponential

and logarithmic functions.

Assignment Class Work Page 164 # 59-64 all. • Review differentiations

rules for inverse trig functions.

Class work /Homework • Page 170 # 3, 9, 13, 15, 21,

27, 31, 35-40 all.

Section 3.8-3.9 Derivatives of Logarithmic and Exponential Functions

Day 31 10/2/2013 • Objectives:• Derivatives of inverse



Assignment Class Work • Work on problems page 171

# 35-40 all. • Go over the homework• Review differentiations

rules for logarithmic and exponential functions.

Class work /Homework Page 178# 5, 11, 19, 21, 25,

31, 37, 39, 43, 51.

Section 3.8-3.9 Derivatives of Logarithmic and Exponential Functions

Day 32 10/3/2013 • Objectives:• Derivatives of inverse



Assignment Class Work • Work on problems page 179

57-62 all. • Go over the homework• Review differentiations

rules for logarithmic and exponential functions.

Sections 3.7-3.9 Quiz



process • Derivatives of inverse



Assignment Class Work • Quiz

Chapter 3 Review






Assignment Class Work • Go over the Quiz. • Start working on the

worksheet. HomeworkFinish the worksheet .

Chapter 3 Review






Assignment

Class Work • Start working on the

worksheet. HomeworkFinish the worksheet .

Chapter 3 Riview






Assignment Class Work Go over AP questions on

derivatives. Work on the Worksheet.Homework Study for the chapter Test.

Chapter 3 Test






Assignment Class Work Go over AP questions on

derivatives. Work on the Worksheet.Homework Study for the chapter Test.

Section 4.1 Extreme Values of Functions

Day 38 10/11/2013

• 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 39 10/14/2013 • Objectives:• Find absolute extreme




Assignment Class WorkGo over the Test • Go over Mean Value

Theorem # 12 page 202 and # 40 a) and b) 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.






Assignment Class WorkGo over the Test • Go over Mean Value Theorem #

12 page 202 and # 40 a) and b) 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.

• Finish the homework students did not understand the problems.






Assignment Class Work Practice AP Questions

Section 4.4 Modeling and Optimization

Day 42 10/17/2013

Objectives:• Use the derivatives to so

solve optimization problems.

Assignment Class work Worksheet


Day 43 10/18/2013



Assignment Class work G over homework questions. Go over Theorem 6 and 7

page 223.Go over examples.

HomeworkPage 226 # 1, 3, 7, 19, 23, 25.


Day 44 10/21/2013



Assignment Class work Go over the homework Page 230 # 51-56 all. Homework Study for the quiz

Section 4.1- 4.4 Quiz

Day 45 10/22/2013



Assignment Class work Quiz

Section 4.5 Linearization and Newton’s Method

Day 46 10/23/2013Objectives:• 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 47 10/24/2013Objectives:• 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.

10/25/2013

Teacher’s Planning Day

Section 4.6 Related Rates

Day 49 10/28/2013

Objectives:Model rates of change,

including related rates problems.

Block Schedule.

Assignment Class Work Go over the homework

questions. Go over example of related

rates. Homework Page 251 # 9, 13, 19, 29, 34. • And worksheet.

Chapter 4 Review

Day 50 10/30/2013 Objectives:• Review • First and second derivative

test. • Optimization problems.• Linearization and

differentials. • Related rate problems.


questions. • Work on problems. Page 256 # 13, 17, 27, 32, 33,

35, 37, 39, 43, 49, 53 70*, 71*, and 72*.

Chapter 4 TEST

Day 51 10/31/2013 Objectives:• Review • First and second derivative

test. • Optimization problems.• Linearization and

differentials. • Related rate problems.

Assignment Class Work • TEST

Section 5.2 Antiderivatives

Day 52 11/4/2013

Objectives:Write the general solution of e

differential equation. Use the indefinite integral

notation for Antiderivatives.Find the particular solution of

a differential equation.

Assignment Class Work Chapter test 60 min.• Worksheet.


Day 53 11/5/2013





Assignment Class Work Chapter test 60 min Make up. “6 students missed the

yesterday's Test” • Worksheet.


Day 54 11/6/2013





Assignment Class Work Go over the Chapter 4 test.


Day 55 11/7/2013





Assignment Class Work Worksheet Reviewing Antiderivatives

Section 5.1-5.3 Estimating with Finite Sums Definite Integrals .

Day 56 11/12/2013 Objectives:• Use Rectangular

Approximation Method (RAM).

• Riemann Sum• Compute definite integrals. • Review and use the

fundamental theorem of calculus.

• Review Trapezoidal Rule.

Assignment Class Work • Go over the homework. • Go over the handout.

Section 5.1-5.3 Estimating with Finite Sums Definite Integrals .

Day 57 11/13/2013 Objectives:• Use Rectangular


• Riemann Sum• Compute definite integrals. • Review and use the



Assignment Class Work Finish the worksheet.

Section 5.4-5.5 Fundamental Theorem of Calculus And Trapezoidal Rule

Day 58 11/14/2013

• Review and use the fundamental theorem of calculus.


Assignment Class Work • Worksheet

Chapter 5 Review

Day 59 11/15/2013Objectives:• Use Rectangular


• Riemann Sum• Review and use the



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 60 11/18/2013Objectives• Review and use the



Assignment Class workGo over the worksheet Review the fundamental

theorem of Calculus• Page 292 # 47-50 all • Page 293 # 1-4 all.


Day 61 11/19/2013Objectives• Review and use the



Assignment Class workGo over the worksheet Review the fundamental

theorem of CalculusHomework • Page 302 # 3, 9, 11, 19,21,

23, 27-39 odd and 57. • Page 312 # 7.

Chapter 5 Review

Day 62 11/20/2013

Objectives:• Use Rectangular





Assignment Class work .• Page 315 Quick Quiz 1-4 all. • Page 315-318 # 9, 12, 13,

15, 19, 23,27, 33, 39, 40, 46*, 54*.

•

Chapter 5 Test Day 63 11/21/2013 Objectives:• Use Rectangular





Assignment Class Work Test

Section 6.1 Slope Fields and Euler’s Method

Day 64 11/21/2013

Objectives: • Differential Equations• Slope Fields• Euler’s Method


differential equations and slope fields.

Class Work/ Homework Worksheet


Day 65 11/22/2013



differential equations and slope fields.

Class Work/ Homework Worksheet


Day 66 11/25/2013


Assignment Class Work • Go over Chapter 5 Test Class Work/ Homework Worksheet AP Questions

Section 6.4 Exponential Growth and Separable differential Equations

Day 67 12/2/2013

Objectives.• Find the solution of e

differential equation by separating variables.

• Low of exponential change.• Exponential growth and

Decay

Assignment Class Work • Finish the Worksheet

Section 6.2 Antidifferentiation by Substitution

Day 68 12/3/2013Objectives:• Use substitution method to

evaluate indefinite and definite integrals.

Assignment Class Work • Go over examples of

differentiation by substitution.

Homework • Page 338 # 17, 19, 21, 27,

29, 33, 39, and 41.

Section 6.3 Antidifferentiation by Parts

Day 69 12/4/2013Objectives:• Use product Rule to derive

Integration by Parts Method.

• Solve for the unknown Integral.

Assignment Class Work Class Work • Go over integration by parts

method. • Go over examples of

integration by parts. Homework Page 346 # 1-9 odd, 17 , 23,

and 36- 41 all.


Day 70 12/5/2013 Objectives: Use substitution method to evaluate indefinite and definite integrals.• Use product Rule to derive



Assignment Class Work • Work on the worksheet • Study for the quiz

Tomorrow.


Day 71 12/6/2013 Objectives: Use substitution method to evaluate indefinite and definite integrals.• Use product Rule to derive



Assignment Class Work Quiz

Section 6.5 Logistical Growth

Day 72 12/9/2013 Objectives:• Integrate partial fractions

with two and three factors. • Use log division and partial

fractions to Integrate

Assignment Class Work • Go over the quiz. • Go over partial faction

examples .Homework • Page 369 # 1-21 odd.






questions.• Go over logistical growth

examples. Homework • Page 369 #23,27, 31,33, 35.







examples. Homework • Worksheet







examples. Homework • Worksheet

Chapter 6 Review

Day 76 12/13/2013 Objectives:• Integrate partial fractions with

two and three factors. • Use log division and partial

fractions to Integrate • Use substitution method to

evaluate indefinite and definite integrals.

• Use product Rule to derive Integration by Parts Method.


Assignment Class Work Page 373 # 3,7,9,13,15,23,33,35,57 and 59. “I will be out of the school. Let students to work with each other”

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First Day of School