First Day of School Day 1 8/19/2013 Objectives: • 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 Day 2 Functions and Graphs 8/20/2013 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 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 Day 3 Functions and Graphs 8/21/2013 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 trigonometry problems. • Lessons on section 1.2 Homework Finish yesterday’s homework. Section 1.5 Functions and Logarithmic Day 4 8/22/2013 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 • 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 23/8/2013 Objectives: • 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 8/26/2013 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 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 Day 7 Rates of change and Limits 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, 1927 odd 37, 38, 39, 49,51,53. Section 2.1 Day 8 Rates of change and Limits 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, 1927 odd 37, 38, 39, 49,51,53. Section 2.2 Limits involving Infinity Day 9 9/3/2013 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 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 9/5/2013 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 Assignment Class Work • Go over homework questions. Finish the hand- out Homework Read the examples of section 2.3. Section 2.3 Day 14 9/9/2013 Objectives: • Understand continuity at a point. • Understand continuous functions. • Understand continuity and composite functions. • Understand the Intermediate Value Theorem for Continuous Functions. Continuity 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 Day 15 9/10/2013 • Objectives: • Understand continuity at a point. • Understand continuous functions. • Understand continuity and composite functions. • Understand the Intermediate Value Theorem for Continuous Functions. Continuity Assignment Class Work • Go over the homework questions. • Work on page 85 # 54-59 all. Homework: • Hand- out Section 2.3 Day 16 9/11/2013 • Objectives: • Understand continuity at a point. • Understand continuous functions. • Understand continuity and composite functions. • Understand the Intermediate Value Theorem for Continuous Functions. Quiz 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 Day 18 Review 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 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. Differentiability 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 9/18/2013 Objectives: • 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 Day 24 9/23/2013 Objectives: • Find the derivatives of composed functions. • Use Chain Rule to find the derivative analytically. Chain Rule 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. Assignment Class Work • Go over homework 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. Review Sections 3.5-3.6 Day 27 9/26/2013 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. Assignment Class Work • Go over homework questions. • Practice AP Question. Worksheet. Sections 3.1-3.6 Quiz Day 28 9/27/2013 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. 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 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. 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 trigonometric functions. • Derivatives of exponential and logarithmic functions. 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 trigonometric functions. • Derivatives of exponential and logarithmic functions. 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 Day 33 10/4/2103 Objectives: 1. Implicitly defined functions. 2. Implicit differentiation process • Derivatives of inverse trigonometric functions. • Derivatives of exponential and logarithmic functions. Quiz Assignment Class Work • Quiz Chapter 3 Review Day 34 10/7/2013 Objectives: 1. Implicitly defined functions. 2. Implicit differentiation process • Derivatives of inverse trigonometric functions. • Derivatives of exponential and logarithmic functions. Assignment Class Work • Go over the Quiz. • Start working on the worksheet. Homework Finish the worksheet . Chapter 3 Review Day 35 10/8/2013 Objectives: 1. Implicitly defined functions. 2. Implicit differentiation process • Derivatives of inverse trigonometric functions. • Derivatives of exponential and logarithmic functions. Assignment Class Work • Start working on the worksheet. Homework Finish the worksheet . Chapter 3 Riview Day 36 10/9/2013 Objectives: 1. Implicitly defined functions. 2. Implicit differentiation process • Derivatives of inverse trigonometric functions. • Derivatives of exponential and logarithmic functions. Assignment Class Work Go over AP questions on derivatives. Work on the Worksheet. Homework Study for the chapter Test. Chapter 3 Test Day 37 10/10/2013 Objectives: 1. Implicitly defined functions. 2. Implicit differentiation process • Derivatives of inverse trigonometric functions. • Derivatives of exponential and logarithmic functions. 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. Homework Page 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 values and local extreme values. • Apply the Mean Value Theorem. • Apply derivatives to increasing and decreasing functions. 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. Section 4.2-4.3 Mean Value Theorem and Connecting f with f’ and f”. Day 40 10/15/2013 • 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 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. Section 4.2-4.3 Mean Value Theorem and Connecting f with f’ and f”. Day 41 10/16/2013 • Objectives: • Find absolute extreme values and local extreme values. • Apply the Mean Value Theorem. • Apply derivatives to increasing and decreasing functions. Assignment Class Work Practice AP Questions Section 4.4 Day 42 Modeling and Optimization 10/17/2013 Objectives: • Use the derivatives to so solve optimization problems. Assignment Class work Worksheet Section 4.4 Day 43 Modeling and Optimization 10/18/2013 Objectives: • Use the derivatives to so solve optimization problems. 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. Section 4.4 Day 44 Modeling and Optimization 10/21/2013 Objectives: • Use the derivatives to so solve optimization problems. Assignment Class work Go over the homework Page 230 # 51-56 all. Homework Study for the quiz Section 4.1- 4.4 Day 45 10/22/2013 Objectives: • Use the derivatives to so solve optimization problems. Quiz Assignment Class work Quiz Section 4.5 Linearization and Newton’s Method Day 46 10/23/2013 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 47 10/24/2013 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. Homework Page 243 # 19, 23, 25, 29. 35, 37, 41, 45, 49. 10/25/2013 Teacher’s Planning Day Section 4.6 Day 49 10/28/2013 Objectives: Model rates of change, including related rates problems. Block Schedule. Related Rates 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. 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*. 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 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. Antiderivatives Assignment Class Work Chapter test 60 min. • Worksheet. Section 5.2 Day 53 11/5/2013 Objectives: Write the general solution of e differential equation. Use the indefinite integral notation for Antiderivatives. Find the particular solution of a differential equation. Antiderivatives Assignment Class Work Chapter test 60 min Make up. “6 students missed the yesterday's Test” • Worksheet. Section 5.2 Day 54 11/6/2013 Objectives: Write the general solution of e differential equation. Use the indefinite integral notation for Antiderivatives. Find the particular solution of a differential equation. Antiderivatives Assignment Class Work Go over the Chapter 4 test. Section 5.2 Day 55 11/7/2013 Objectives: Write the general solution of e differential equation. Use the indefinite integral notation for Antiderivatives. Find the particular solution of a differential equation. Antiderivatives 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 Approximation Method (RAM). • Riemann Sum • Compute definite integrals. • Review and use the fundamental theorem of calculus. • Review Trapezoidal Rule. 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. • Review Trapezoidal Rule. Assignment Class Work • Worksheet Chapter 5 Review Day 59 11/15/2013 Objectives: • 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*. Section 5.4-5.5 Fundamental Theorem of Calculus And Trapezoidal Rule Day 60 11/18/2013 Objectives • Review and use the fundamental theorem of calculus. • Review Trapezoidal Rule. Assignment Class work Go over the worksheet Review the fundamental theorem of Calculus • Page 292 # 47-50 all • Page 293 # 1-4 all. Section 5.4-5.5 Fundamental Theorem of Calculus And Trapezoidal Rule Day 61 11/19/2013 Objectives • Review and use the fundamental theorem of calculus. • Review Trapezoidal Rule. Assignment Class work Go over the worksheet Review the fundamental theorem of Calculus Homework • 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 Approximation Method (RAM). • Riemann Sum • Review and use the fundamental theorem of calculus. • Review Trapezoidal Rule. 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 Approximation Method (RAM). • Riemann Sum • Review and use the fundamental theorem of calculus. • Review Trapezoidal Rule. 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 Assignment Class Work • Go over definition of differential equations and slope fields. Class Work/ Homework Worksheet Section 6.1 Slope Fields and Euler’s Method Day 65 11/22/2013 Objectives: • Differential Equations • Slope Fields • Euler’s Method Assignment Class Work • Go over definition of differential equations and slope fields. Class Work/ Homework Worksheet Section 6.1 Slope Fields and Euler’s Method Day 66 11/25/2013 Objectives: • Differential Equations • Slope Fields • Euler’s Method 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 12/3/2013 Objectives: • 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 12/4/2013 Objectives: • 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. Review Sections 6.2-6.3 Day 70 12/5/2013 Objectives: Use substitution method to evaluate indefinite and definite integrals. • Use product Rule to derive Integration by Parts Method. • Solve for the unknown Integral. Assignment Class Work • Work on the worksheet • Study for the quiz Tomorrow. Review Sections 6.2-6.3 Day 71 12/6/2013 Objectives: Use substitution method to evaluate indefinite and definite integrals. • Use product Rule to derive Integration by Parts Method. • Solve for the unknown Integral. 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. Section 6.5 Logistical Growth Day 73 12/10/2013 Objectives: • Integrate partial fractions with two and three factors. • Use log division and partial fractions to Integrate Assignment Class Work • Go over the homework questions. • Go over logistical growth examples. Homework • Page 369 #23,27, 31,33, 35. Section 6.5 Logistical Growth Day 74 12/11/2013 Objectives: • Integrate partial fractions with two and three factors. • Use log division and partial fractions to Integrate Assignment Class Work • Go over the homework questions. • Go over logistical growth examples. Homework • Worksheet Section 6.5 Logistical Growth Day 75 12/12/2013 Objectives: • Integrate partial fractions with two and three factors. • Use log division and partial fractions to Integrate Assignment Class Work • Go over the homework questions. • Go over logistical growth 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. • Solve for the unknown Integral. 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”