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
94
Embed
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.
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
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.
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,