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First Day of School

First Day of School. Day 1 8/19/2013. Assignment. Homework Finish the hand out review section 1.1. Objectives: Go over the classroom rules and regulations. Go over the syllabus. Discuss expectations and answer questions.

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First Day of School

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  1. First Day of School Day 1 8/19/2013 Assignment Homework Finish the hand out review section 1.1. Objectives: • Go over the classroom rules and regulations. • Go over the syllabus. • Discuss expectations and answer questions .

  2. Section 1.2 Functions and Graphs Day 2 8/20/2013 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. 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.

  3. Section 1.2 Functions and Graphs Day 3 8/21/2013 Assignment Class work Go over trigonometry problems. Lessons on section 1.2 Homework Finish yesterday’s homework. 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.

  4. Section 1.5 Functions and Logarithmic Day 4 8/22/2013 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* . Objectives: • . Determine the domain the range and the graph of Logarithmic function. • Solve problems using properties of logs and logarithmic function

  5. Section 1.5 Trigonometric Functions Day 5 23/8/2013 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. Objectives: • Identify the periodicity and even-odd properties of the trigonometric functions. • Generate the graph of the trigonometric functions and explore various transformations.

  6. Chapter 1 Review Day 6 8/26/2013 Assignment Class work Page 54 # 50-55 all Page 56-57 # 15,23,33,35,39,41, 61, 63 a and b, 69. Objectives: • . 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

  7. Section 2.1 Rates of change and Limits Day 7 8/28/2013 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. • 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.

  8. Section 2.1 Rates of change and Limits Day 8 8/30/2013 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. • 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

  9. Section 2.2 Limits involving Infinity Day 9 9/3/2013 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. 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. • Block Schedule

  10. Section 2.2 Limits involving Infinity Day 10 9/5/2013 Assignment Class Work Go over homework questions. Finish the hand- out Homework Read the examples of section 2.3. 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. • Block Schedule

  11. Section 2.3 Continuity Day 14 9/9/2013 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, Objectives: • Understand continuity at a point. • Understand continuous functions. • Understand continuity and composite functions. • Understand the Intermediate Value Theorem for Continuous Functions.

  12. 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).

  13. Section 2.3 Continuity Day 15 9/10/2013 Assignment Class Work Go over the homework questions. Work on page 85 # 54-59 all. Homework: Hand- out • Objectives: • Understand continuity at a point. • Understand continuous functions. • Understand continuity and composite functions. • Understand the Intermediate Value Theorem for Continuous Functions.

  14. Section 2.3 Quiz Day 16 9/11/2013 Assignment Class Work: Go over homework questions. Quiz Homework Read section 2.4 Work on problems Page 92 # 5, 9 ,11, 13, 15. • Objectives: • Understand continuity at a point. • Understand continuous functions. • Understand continuity and composite functions. • Understand the Intermediate Value Theorem for Continuous Functions.

  15. Section 2.4 Rate of Change and Tangent Lines Day 17 9/12/2013 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. • Objectives: • Understand tangent to a curve. • Slope of the tangent to a curve. • Understand normal to a curve.

  16. Chapter 2 Review Day 18 9/13/2013 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. Objectives: • Review: • Properties of limit. • Continuous functions. • Intermediate Value Theorem • Tangent to a curve. • Normal to a curve.

  17. Section 3.1 Derivative of a function Day 19 9/16/2013 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. • 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

  18. Section 3.2 Differentiability Day 20 9/17/2013 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 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.

  19. Section 3.3 Rules of Differentiation Day 21 9/18/2013 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. Objectives: • Use differentiation rules to find the derivative.

  20. Section 3.3 Rules of Differentiation Day 22 9/19/2013 Assignment Class Work Page 124 # 2,4,8,14,24,28. Page 125 # 53-58 all. Page 126 Quick Quiz all. Objectives: • Use differentiation rules to find the derivative. • Practice AP Questions.

  21. Section 3.5 Derivatives of trigonometric functions. Day 23 9/20/2013 Assignment Class Work Page 139 # 34, 37-46 all. Homework Page 146 # 5, 7, 10, 15, 21, 23, 27, 29. 31. Objectives: • Find the derivative of sin(x), cos(x), tan(x), cot(x), sec (x0, csc(x).

  22. Section 3.6 Chain Rule Day 24 9/23/2013 Assignment Class Work Go over examples on derivatives and chain rule . Homework Page 153 # 1- 31 odd. Objectives: • Find the derivatives of composed functions. • Use Chain Rule to find the derivative analytically.

  23. Review Sections 3.5-3.6 Day 25 9/24/2013 Assignment Class Work Go over homework questions. Class work Page 154 # 56 and 58. 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.

  24. Section 3.4 Velocity and Other Rates of Change. Day 26 9/25/2013 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. Objectives: • Find the instantaneous rate of change. • Find motion along a line. Find the sensitivity to change and use derivatives in economics.

  25. Review Sections 3.5-3.6 Day 27 9/26/2013 Assignment Class Work Go over homework questions. Practice AP Question. Worksheet. 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.

  26. Sections 3.1-3.6 Quiz Day 28 9/27/2013 Assignment Class Work Quiz . 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.

  27. Section 3.7 Implicit Differentiation Day 29 9/30/2013 Assignment Class Work Go 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. Objectives: • Implicitly defined functions. • Implicit differentiation process

  28. Section 3.8-3.9 Derivatives of Inverse Trigonometric Functions. Day 30 10/1 /2013 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. • Objectives: • Derivatives of inverse trigonometric functions. • Derivatives of exponential and logarithmic functions.

  29. Section 3.8-3.9 Derivatives of Logarithmic and Exponential Functions Day 31 10/2/2013 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. • Objectives: • Derivatives of inverse trigonometric functions. • Derivatives of exponential and logarithmic functions.

  30. Section 3.8-3.9 Derivatives of Logarithmic and Exponential Functions Day 32 10/3/2013 Assignment Class Work Work on problems page 179 57-62 all. Go over the homework Review differentiations rules for logarithmic and exponential functions. • Objectives: • Derivatives of inverse trigonometric functions. • Derivatives of exponential and logarithmic functions.

  31. Sections 3.7-3.9 Quiz Day 33 10/4/2103 Assignment Class Work Quiz Objectives: • Implicitly defined functions. • Implicit differentiation process • Derivatives of inverse trigonometric functions. • Derivatives of exponential and logarithmic functions.

  32. Chapter 3 Review Day 34 10/7/2013 Assignment Class Work Go over the Quiz. Start working on the worksheet. Homework Finish the worksheet . Objectives: • Implicitly defined functions. • Implicit differentiation process • Derivatives of inverse trigonometric functions. • Derivatives of exponential and logarithmic functions.

  33. Chapter 3 Review Day 35 10/8/2013 Assignment Class Work Start working on the worksheet. Homework Finish the worksheet . Objectives: • Implicitly defined functions. • Implicit differentiation process • Derivatives of inverse trigonometric functions. • Derivatives of exponential and logarithmic functions.

  34. Chapter 3 Riview Day 36 10/9/2013 Assignment Class Work Go over AP questions on derivatives. Work on the Worksheet. Homework Study for the chapter Test. Objectives: • Implicitly defined functions. • Implicit differentiation process • Derivatives of inverse trigonometric functions. • Derivatives of exponential and logarithmic functions.

  35. Chapter 3 Test Day 37 10/10/2013 Assignment Class Work Go over AP questions on derivatives. Work on the Worksheet. Homework Study for the chapter Test. Objectives: • Implicitly defined functions. • Implicit differentiation process • Derivatives of inverse trigonometric functions. • Derivatives of exponential and logarithmic functions.

  36. Section 4.1 Extreme Values of Functions Day 38 10/11/2013 Assignment Class work Go over the extreme value theorem. Go over Example # 5 page 191 and 1,2, 3, on page 193. Homework Page 194 # 5, 7, 9, 13, 15, 17, 23, 39,. • Objectives: • Find absolute extreme values and local extreme values. • Apply the Mean Value Theorem. • Apply derivatives to increasing and decreasing functions.

  37. Section 4.2-4.3 Mean Value Theorem and Connecting f with f’ and f”. Day 39 10/14/2013 Assignment Class Work Go 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. • Objectives: • Find absolute extreme values and local extreme values. • Apply the Mean Value Theorem. • Apply derivatives to increasing and decreasing functions.

  38. Section 4.2-4.3 Mean Value Theorem and Connecting f with f’ and f”. Day 40 10/15/2013 Assignment Class Work Go 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. • Objectives: • Find absolute extreme values and local extreme values. • Apply the Mean Value Theorem. • Apply derivatives to increasing and decreasing functions.

  39. Section 4.2-4.3 Mean Value Theorem and Connecting f with f’ and f”. Day 41 10/16/2013 Assignment Class Work Practice AP Questions • Objectives: • Find absolute extreme values and local extreme values. • Apply the Mean Value Theorem. • Apply derivatives to increasing and decreasing functions.

  40. Section 4.4 Modeling and Optimization Day 42 10/17/2013 Assignment Class work Worksheet Objectives: • Use the derivatives to so solve optimization problems.

  41. Section 4.4 Modeling and Optimization Day 43 10/18/2013 Assignment Class work G over homework questions. Go over Theorem 6 and 7 page 223.Go over examples. Homework Page 226 # 1, 3, 7, 19, 23, 25. Objectives: • Use the derivatives to so solve optimization problems.

  42. Section 4.4 Modeling and Optimization Day 44 10/21/2013 Assignment Class work Go over the homework Page 230 # 51-56 all. Homework Study for the quiz Objectives: • Use the derivatives to so solve optimization problems.

  43. Section 4.1- 4.4 Quiz Day 45 10/22/2013 Assignment Class work Quiz Objectives: • Use the derivatives to so solve optimization problems.

  44. Section 4.5 Linearization and Newton’s Method Day 46 10/23/2013 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. Objectives: • Use linearization to approximate a function at a given point. • Use Newton’s method to find the zeros of e given function.

  45. Section 4.5 Linearization and Newton’s Method Day 47 10/24/2013 Assignment Class Work Go over differentials. Start working on the homework. Homework Page 243 # 19, 23, 25, 29. 35, 37, 41, 45, 49. Objectives: • Use differentials to estimate the Absolute change, Relative change, and Percentage change of a function.

  46. 10/25/2013 Teacher’s Planning Day

  47. Section 4.6 Related Rates Day 49 10/28/2013 Assignment Class Work Go over the homework questions. Go over example of related rates. Homework Page 251 # 9, 13, 19, 29, 34. And worksheet. Objectives: Model rates of change, including related rates problems. Block Schedule.

  48. Chapter 4 Review Day 50 10/30/2013 Assignment Class Work Go over the homework questions. Work on problems. Page 256 # 13, 17, 27, 32, 33, 35, 37, 39, 43, 49, 53 70*, 71*, and 72*. Objectives: • Review • First and second derivative test. • Optimization problems. • Linearization and differentials. • Related rate problems.

  49. Chapter 4 TEST Day 51 10/31/2013 Assignment Class Work TEST Objectives: • Review • First and second derivative test. • Optimization problems. • Linearization and differentials. • Related rate problems.

  50. Section 5.2 Antiderivatives Day 52 11/4/2013 Assignment Class Work Chapter test 60 min. Worksheet. Objectives: Write the general solution of e differential equation. Use the indefinite integral notation for Antiderivatives. Find the particular solution of a differential equation.

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