First Day of School Day 1 8/19/2013 Assignment Objectives: Go over the classroom rules and regulations. Go over the syllabus. Discuss expectations and answer questions . Homework Finish the hand out review section 1.1.
Section 1.2 Functions and Graphs Day 2 8/20/2013 Assignment 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. 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 8/21/2013 Assignment 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. 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 Assignment Objectives: . Determine the domain the range and the graph of Logarithmic function. Solve problems using properties of logs and logarithmic function 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 Assignment 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 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 Assignment Class work 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 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 Assignment 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. 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 Assignment 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 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 9/3/2013 Assignment 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 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 Assignment 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 Class Work Go over homework questions. Finish the hand- out Homework Read the examples of section 2.3.
Section 2.3 Continuity Day 14 9/9/2013 Assignment Objectives: Understand continuity at a point. Understand continuous functions. Understand continuity and composite functions. Understand the Intermediate Value Theorem for Continuous Functions. 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 Assignment Objectives: Understand continuity at a point. Understand continuous functions. Understand continuity and composite functions. Understand the Intermediate Value Theorem for Continuous Functions. 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 Assignment Objectives: Understand continuity at a point. Understand continuous functions. Understand continuity and composite functions. Understand the Intermediate Value Theorem for Continuous Functions. 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 Assignment Objectives: Understand tangent to a curve. Slope of the tangent to a curve. Understand normal to a curve. 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 Assignment Objectives: Review: Properties of limit. Day 18 9/13/2013 Assignment Objectives: Review: Properties of limit. Continuous functions. Intermediate Value Theorem Tangent to a curve. Normal to a curve. 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 Assignment 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 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 Assignment 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. 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 Assignment Objectives: Use differentiation rules to find the derivative. 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 Assignment Objectives: Use differentiation rules to find the derivative. Practice AP Questions. 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 Assignment Objectives: Find the derivative of sin(x), cos(x), tan(x), cot(x), sec (x0, csc(x). 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 Assignment Objectives: Day 24 9/23/2013 Assignment Objectives: Find the derivatives of composed functions. Use Chain Rule to find the derivative analytically. 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 Assignment 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. 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 Assignment Objectives: Find the instantaneous rate of change. Find motion along a line. Find the sensitivity to change and use derivatives in economics. 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 Assignment 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. Class Work Go over homework questions. Practice AP Question. Worksheet.
Sections 3.1-3.6 Quiz Day 28 9/27/2013 Assignment 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. Class Work Quiz .
Section 3.7 Implicit Differentiation Day 29 9/30/2013 Assignment Objectives: Implicitly defined functions. Implicit differentiation process 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 Assignment Objectives: Derivatives of inverse trigonometric functions. Derivatives of exponential and logarithmic functions. 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 Assignment Objectives: Derivatives of inverse trigonometric functions. Derivatives of exponential and logarithmic functions. 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 Assignment Objectives: Derivatives of inverse trigonometric functions. Derivatives of exponential and logarithmic functions. 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 Day 33 10/4/2103 Assignment Objectives: Implicitly defined functions. Implicit differentiation process Derivatives of inverse trigonometric functions. Derivatives of exponential and logarithmic functions. Class Work Quiz
Chapter 3 Review Day 34 10/7/2013 Assignment Objectives: Implicitly defined functions. Implicit differentiation process Derivatives of inverse trigonometric functions. Derivatives of exponential and logarithmic functions. Class Work Go over the Quiz. Start working on the worksheet. Homework Finish the worksheet .
Chapter 3 Review Day 35 10/8/2013 Assignment Objectives: Implicitly defined functions. Implicit differentiation process Derivatives of inverse trigonometric functions. Derivatives of exponential and logarithmic functions. Class Work Start working on the worksheet. Homework Finish the worksheet .
Chapter 3 Riview Day 36 10/9/2013 Assignment Objectives: Implicitly defined functions. Implicit differentiation process Derivatives of inverse trigonometric functions. Derivatives of exponential and logarithmic functions. 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 Assignment Objectives: Implicitly defined functions. Implicit differentiation process Derivatives of inverse trigonometric functions. Derivatives of exponential and logarithmic functions. 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 Assignment Objectives: Find absolute extreme values and local extreme values. Apply the Mean Value Theorem. Apply derivatives to increasing and decreasing functions. 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 Assignment Objectives: Find absolute extreme values and local extreme values. Apply the Mean Value Theorem. Apply derivatives to increasing and decreasing functions. 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 Assignment Objectives: Find absolute extreme values and local extreme values. Apply the Mean Value Theorem. Apply derivatives to increasing and decreasing functions. 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 Assignment Objectives: Find absolute extreme values and local extreme values. Apply the Mean Value Theorem. Apply derivatives to increasing and decreasing functions. Class Work Practice AP Questions
Section 4.4 Modeling and Optimization Day 42 10/17/2013 Assignment Objectives: Use the derivatives to so solve optimization problems. Class work Worksheet
Section 4.4 Modeling and Optimization Day 43 10/18/2013 Assignment Objectives: Use the derivatives to so solve optimization problems. 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 Modeling and Optimization Day 44 10/21/2013 Assignment Objectives: Use the derivatives to so solve optimization problems. Class work Go over the homework Page 230 # 51-56 all. Homework Study for the quiz
Section 4.1- 4.4 Quiz Assignment Objectives: Day 45 10/22/2013 Assignment Objectives: Use the derivatives to so solve optimization problems. Class work Quiz
Section 4.5 Linearization and Newton’s Method Day 46 10/23/2013 Assignment Objectives: Use linearization to approximate a function at a given point. Use Newton’s method to find the zeros of e given function. 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 Assignment Objectives: Use differentials to estimate the Absolute change, Relative change, and Percentage change of a function. Class Work Go over differentials. Start working on the homework. Homework Page 243 # 19, 23, 25, 29. 35, 37, 41, 45, 49.
Teacher’s Planning Day 10/25/2013 Teacher’s Planning Day
Section 4.6 Related Rates Assignment Objectives: Day 49 10/28/2013 Assignment Objectives: Model rates of change, including related rates problems. Block Schedule. 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 Assignment Objectives: Review First and second derivative test. Optimization problems. Linearization and differentials. Related rate problems. 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 Assignment Objectives: Review First and second derivative test. Optimization problems. Linearization and differentials. Related rate problems. Class Work TEST
Section 5.2 Antiderivatives Day 52 11/4/2013 Assignment Objectives: Write the general solution of e differential equation. Use the indefinite integral notation for Antiderivatives. Find the particular solution of a differential equation. Class Work Chapter test 60 min. Worksheet.
Section 5.2 Antiderivatives Day 53 11/5/2013 Assignment Objectives: Write the general solution of e differential equation. Use the indefinite integral notation for Antiderivatives. Find the particular solution of a differential equation. Class Work Chapter test 60 min Make up. “6 students missed the yesterday's Test” Worksheet.
Section 5.2 Antiderivatives Day 54 11/6/2013 Assignment Objectives: Write the general solution of e differential equation. Use the indefinite integral notation for Antiderivatives. Find the particular solution of a differential equation. Class Work Go over the Chapter 4 test.
Section 5.2 Antiderivatives Day 55 11/7/2013 Assignment Objectives: Write the general solution of e differential equation. Use the indefinite integral notation for Antiderivatives. Find the particular solution of a differential equation. Class Work Worksheet Reviewing Antiderivatives
Section 5.1-5.3 Estimating with Finite Sums Definite Integrals . Day 56 11/12/2013 Assignment Objectives: Use Rectangular Approximation Method (RAM). Riemann Sum Compute definite integrals. Review and use the fundamental theorem of calculus. Review Trapezoidal Rule. 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 Assignment Objectives: Use Rectangular Approximation Method (RAM). Riemann Sum Compute definite integrals. Review and use the fundamental theorem of calculus. Review Trapezoidal Rule. Class Work Finish the worksheet.
Section 5.4-5.5 Fundamental Theorem of Calculus And Trapezoidal Rule Day 58 11/14/2013 Assignment Review and use the fundamental theorem of calculus. Review Trapezoidal Rule. Class Work Worksheet
Chapter 5 Review Day 59 11/15/2013 Assignment Objectives: Use Rectangular Approximation Method (RAM). Riemann Sum Review and use the fundamental theorem of calculus. Review Trapezoidal Rule. 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 Assignment Objectives Review and use the fundamental theorem of calculus. Review Trapezoidal Rule. 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 Assignment Objectives Review and use the fundamental theorem of calculus. Review Trapezoidal Rule. 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 Assignment Objectives: Day 62 11/20/2013 Assignment Objectives: Use Rectangular Approximation Method (RAM). Riemann Sum Review and use the fundamental theorem of calculus. Review Trapezoidal Rule. 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 Assignment Objectives: Use Rectangular Approximation Method (RAM). Riemann Sum Review and use the fundamental theorem of calculus. Review Trapezoidal Rule. Class Work Test
Section 6.1 Slope Fields and Euler’s Method Day 64 11/21/2013 Assignment Objectives: Differential Equations Slope Fields Euler’s Method 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 Assignment Objectives: Differential Equations Slope Fields Euler’s Method 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 Assignment Objectives: Differential Equations Slope Fields Euler’s Method 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 Assignment Objectives. Find the solution of e differential equation by separating variables. Low of exponential change. Exponential growth and Decay Class Work Finish the Worksheet
Section 6.2 Antidifferentiation by Substitution Day 68 12/3/2013 Assignment Objectives: Use substitution method to evaluate indefinite and definite integrals. 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 Assignment Objectives: Use product Rule to derive Integration by Parts Method. Solve for the unknown Integral. 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 Assignment Objectives: Use substitution method to evaluate indefinite and definite integrals. Use product Rule to derive Integration by Parts Method. Solve for the unknown Integral. Class Work Work on the worksheet Study for the quiz Tomorrow.
Review Sections 6.2-6.3 Day 71 12/6/2013 Assignment Objectives: Use substitution method to evaluate indefinite and definite integrals. Use product Rule to derive Integration by Parts Method. Solve for the unknown Integral. Class Work Quiz
Section 6.5 Logistical Growth Day 72 12/9/2013 Assignment Objectives: Integrate partial fractions with two and three factors. Use log division and partial fractions to Integrate 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 Assignment Objectives: Integrate partial fractions with two and three factors. Use log division and partial fractions to Integrate 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 Assignment Objectives: Integrate partial fractions with two and three factors. Use log division and partial fractions to Integrate Class Work Go over the homework questions. Go over logistical growth examples. Homework Worksheet
Section 6.5 Logistical Growth Day 75 12/12/2013 Assignment Objectives: Integrate partial fractions with two and three factors. Use log division and partial fractions to Integrate Class Work Go over the homework questions. Go over logistical growth examples. Homework Worksheet
Chapter 6 Review Day 76 12/13/2013 Assignment Class Work Worksheet 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. Class Work Worksheet “I will be out of the school. Let students to work with each other”
Chapter 6 Review Day 77 12/16/2013 Assignment 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. Class Work Go over questions from the Friday’s worksheet. Review of chapter 6 Page 373 # 1, 7, 13, 15, 21, 27, 33.
Chapter 6 Review Day 78 12/17/2013 Assignment 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. Class Work Go over questions from the Friday’s worksheet. Review of chapter 6 Page 375 # 43, 59, 61, 67-69.
Chapter 6 Test Day 79 12/18/2013 Assignment Class Work Chapter 6 Test 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. Class Work Chapter 6 Test
Section 7.1 Integral As Net Change Day 80 12/19/2013 Assignment Objectives: Use integration as a net change. Solve problems involving motion and consumption. Class Work Go over net change examples. Work on problems 11-16 all. Homework Page 388# 31-36 all.
Section 7.1 Integral As Net Change Day 81 12/20/2013 Assignment Objectives: Use integration as a net change. Solve problems involving motion and consumption. Class Work Go over homework questions. Start working with Worksheet.
Section 7.1 Integral As Net Change Day 82 1/6/2013 Assignment Objectives: Use integration as a net change. Solve problems involving motion and consumption. Class Work Go over homework questions. Start working with Worksheet.
Section 7.2 Area in the Plane Day 83 1/7/2014 Assignment Objectives: Find the area between two curves. Integrating with respect to y. Use geometric formulas t find the area under the curve Class Work Go over examples # 1,3 ,4. Class Work /Homework Page 395 # 3, 5, 13, 33, 35, ,41, 50-55 all.
Section 7.2 Area in the Plane Day 84 1/8/2014 Assignment Objectives: Find the area between two curves. Integrating with respect to y. Use geometric formulas t find the area under the curve Class Work Go over homework questions. Class Work /Homework Worksheet
Section 7.3 Volumes Day 85 1/9/2014 Assignment Objectives: Find the Volume as an integral. Find the volume as a cross section. Use circular cross sections to find the volume. Class Work. Go over homework questions. go over examples of volume as a surface of revolution Go over # 1 on page 406 Homework Page 406-407 # 1, 7, 9, 23, 39, 33.
Section 7.3 Volumes Day 86 1/10/2014 Assignment Objectives: Find the Volume as an integral. Find the volume as a cross section. Use circular cross sections to find the volume. Class Work. Go over homework questions Class Work/ Homework Worksheet
Section 7.3 Volumes Day 87 1/13/2014 Assignment Objectives: Find the Volume as an integral. Find the volume as a cross section. Use circular cross sections to find the volume. Class Work. Go over homework questions. Finish the Worksheet.
Section 7.4 Lengths of Curves Chapter Review Day 88 1/14/2014 Assignment 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. Block Schedule Class Work Go over length of the curve formula. Go over example # 3-4 page 415. Work on Page 416 # 3,7, 9, 11, 13, 19, 21. Page 430 # 3, 5, 17, 21,29, 53, 54, and 55.
Chapter 7 Test Assignment Class Work Chapter 7 Test Day 89 1/16/2014 Objectives: Find the Volume as an integral. Find the volume as a cross section. Use circular cross sections to find the volume. 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. Class Work Chapter 7 Test
Section 8.3-8.4 L’Hopital’s Rules and Improper Integrals Day 90 1/21/2014 Assignment 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. Block Schedule Class work Go over the warm-up Go over definitions and examples. Work on page 451 # 62-67 all. And page 467 # 1-33 odd.
Warm-up
Section 8.3-8.4 L’Hopital’s Rules and Improper Integrals Day 90 1/23/2014 Assignment 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. Block Schedule Class work Go over the warm-up Go over homework questions. Finish the worksheet.
Section 8.3-8.4 L’Hopital’s Rules and Improper Integrals Review Day 91 1/27/2014 Assignment 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. Block Schedule Class work Go over questions from the worksheet . Chapter Review Page 470 Quick quiz 1-4 all. Chapter Review page 471 # 9, 17, 25, 27, 37, 41, 45, 47*, Free Response 56,57,and 58.
Chapter Test Day 92 1/29/2014 Assignment Class work Chapter 8 Test 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 Chapter 8 Test
Chapter Test Day 93 1/30/2014 Assignment 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 Go over Chapter 8 Test
Section 9.5 Testing Convergence of series and sequences . Day 94 1/31/2014 Assignment Objectives: List the terms of an sequence. Determine if a sequence converges or diverges. Write a formula of the n-th term. Class Work Go over the definition of the limit of a sequence. Go over theorem 9.1-9.5. Homework Page 604 # 1-13 odd,23,45-59 odd.
Section 9.5 Testing Convergence of series and sequences . Day 95 2/3/2014 Assignment Objectives: List the terms of an sequence. Determine if a sequence converges or diverges. Write a formula of the n-th term. Class Work Go over the definition of the limit of a sequence. Go over theorem 9.1-9.5. Homework Go over the examples.
Section 9.5 Series and Convergence Day 96 2/4/2014 Assignment 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. Class Work Go over converging and diverging series examples . Go over geometric series ,n-nth term test, and telescopic series. Homework In your worksheet find and solve problems that require the above tests to solve.
Sections 9.5 The Integral Test and p-Series Day 97 2/5/2014 Assignment Objectives. Use the integral test to determine whether the infinite series converges or diverges . Use properties of p-series. Class Work Go over the examples of p-series and cooperation test. Homework In your worksheet find and solve problems that require the above tests to solve.
Sections 9.5 Limit comparison and alternating series test. Day 98 2/6/2014 Assignment Objectives. Use the integral test to determine whether the infinite series converges or diverges . Use properties of p-series. Class Work Go over the examples of Limit comparison and alternating series test. Homework In your worksheet find and solve problems that require the above tests to solve.
Section 9.5 Absolute Convergence, Ration and Root Test Day 99 2/10/2014 Assignment Objectives: Use Absolute Convergence , Ration and Root Test to find out if a series converges or diverges. Class Work Go over examples of Absolute Convergence, Ration and Root Test. Homework In your worksheet find and solve problems that require the above tests to solve.
Section 9.5 Absolute Convergence, Ration and Root Test Day 100 2/11/2014 Assignment Objectives: Use Absolute Convergence , Ration and Root Test to find out if a series converges or diverges. Class Work Go over examples of Absolute Convergence, Ration and Root Test. Homework In your worksheet find and solve problems that require the above tests to solve.
Section 9.5 Use all convergence test to prove convergence of a series. Day 101 2/12/2014 Assignment Objectives. Use the integral test to determine whether the infinite series converges or diverges . Use properties of p-series. Use Absolute Convergence , Ration and Root Test to find out if a series converges or diverges. Use Absolute Convergence , Ration and Root Test to find out if a series converges or diverges Class Work Go over the Questions . Practice the convergence tests
Section 9.5 Use all convergence test to prove convergence of a series. Day 103 2/13/2014 Assignment Objectives. Use the integral test to determine whether the infinite series converges or diverges . Use properties of p-series. Use Absolute Convergence , Ration and Root Test to find out if a series converges or diverges. Use Absolute Convergence , Ration and Root Test to find out if a series converges or diverges Class Work Go over the Questions . Practice the convergence tests. Finish the worksheet.
Section 9.5 Use all convergence test to prove convergence of a series. Day 104 2/14/2014 Assignment Objectives. Use the integral test to determine whether the infinite series converges or diverges . Use properties of p-series. Use Absolute Convergence , Ration and Root Test to find out if a series converges or diverges. Use Absolute Convergence , Ration and Root Test to find out if a series converges or diverges Class Work Go over the Questions . Practice AP Questions. Finish the worksheet.
Section 9.5 Use all convergence test to prove convergence of a series. Day 104 2/18/2014 Assignment Objectives. Use the integral test to determine whether the infinite series converges or diverges . Use properties of p-series. Use Absolute Convergence , Ration and Root Test to find out if a series converges or diverges. Use Absolute Convergence , Ration and Root Test to find out if a series converges or diverges Class Work Quiz
Section 9.5 Use all convergence test to prove convergence of a series. Day 105 2/19/2014 Assignment Objectives. Use the integral test to determine whether the infinite series converges or diverges . Use properties of p-series. Use Absolute Convergence , Ration and Root Test to find out if a series converges or diverges. Use Absolute Convergence , Ration and Root Test to find out if a series converges or diverges Class Work Work on page 523 # 7-22 all.
Section 9.5 Use all convergence test to prove convergence of a series. Day 106 2/20/2014 Assignment Objectives. Use the integral test to determine whether the infinite series converges or diverges . Use properties of p-series. Use Absolute Convergence , Ration and Root Test to find out if a series converges or diverges. Use Absolute Convergence , Ration and Root Test to find out if a series converges or diverges Class Work Go over the quiz and the class work on page 523.
Section 9.5 Use all convergence test to prove convergence of a series. Day 107 2/21/2014 Assignment Objectives. Use the integral test to determine whether the infinite series converges or diverges . Use properties of p-series. Use Absolute Convergence , Ration and Root Test to find out if a series converges or diverges. Use Absolute Convergence , Ration and Root Test to find out if a series converges or diverges I will be out of school. Class Work Finis the worksheet.
Section 9.7 Taylor Polynomials and Approximations Day 108 2/24/2014 Assignment Objectives: Find polynomial approximations of elementary functions and compare them with the elementary function. Find Taylor and Maclaurin polynomial approximations of functions. Use the remainder of a Taylor polynomial. Class Work Go over the quiz . Go over examples of the worksheet. Homework Page
Section 9.7 Taylor Polynomials and Approximations Day 109 2/25/2014 Assignment Objectives: Find polynomial approximations of elementary functions and compare them with the elementary function. Find Taylor and Maclaurin polynomial approximations of functions. Use the remainder of a Taylor polynomial. Class Work Go over homework Question. Go over examples of the worksheet. Homework Worksheet
Section 9.8 Power Series Day 110 2/26/2014 Assignments Objectives: Understand the definition of a power series. Find the radius of convergence of a power series. Determine the end point convergence of power series. Class Work Go over definition of power series . Go over examples or radius of convergence. Homework Finish the Worksheet
Section 9.8 Power Series Day 111 2/27/2014 Assignments Objectives: Understand the definition of a power series. Find the radius of convergence of a power series. Determine the end point convergence of power series. Class Work Go over definition of power series . Go over examples or radius of convergence. Homework Finish the Worksheet
Quiz Section 9.7-9.8 Day 112 2/28/2014 Assignments Class Work Quiz Objectives: Understand the definition of a power series. Find the radius of convergence of a power series. Determine the end point convergence of power series. Class Work Quiz
Section 9.8 Power Series Assignment Objectives: Day 113 3/3/2014 Assignment Objectives: Understand the definition of a power series. Find the radius of convergence of a power series. Determine the end point convergence of power series. Class Work Finish the worksheet examples. Quiz Tomorrow
Quiz Section 9.7-9.8 Assignment Objectives: Day 114 3/4/2014 Assignment Objectives: Understand the definition of a power series. Find the radius of convergence of a power series. Determine the end point convergence of power series. Class Work Go over the warm-up Finish the worksheet
Warm-up
Key
Section 9.4-9.5 Power Series and Geometric Series Day 115 3/5/2014 Assignment Objectives: Understand the definition of a power series. Find the radius of convergence of a power series. Determine the end point convergence of power series. Class Work Go over the examples from the worksheet. Homework Finish the Worksheet.
Section 9.4-9.5 Power Series and Geometric Series Day 116 3/6/2014 Assignment Objectives: Understand the definition of a power series. Find the radius of convergence of a power series. Determine the end point convergence of power series. Class Work Go over the examples from the worksheet. Homework Finish the Worksheet.
Section 9.4-9.5 Power Series and Geometric Series Day 117 3/7/2014 Assignment Objectives: Understand the definition of a power series. Find the radius of convergence of a power series. Determine the end point convergence of power series. Class Work Go over the examples from the worksheet. Homework Finish the Worksheet.
Section 9.4-9.5 Power Series and Lagrange Error Day 118 3/10/2014 Assignment Objectives: Understand the definition of a power series. Find the radius of convergence of a power series. Determine the end point convergence of power series. Find the Lagrange Error. Class Work Go over homework questions. Go over the examples from the worksheet. Homework Finish the Worksheet.
Section 9.4-9.5 Power Series and Lagrange Error Day 119 3/11/2014 Assignment Objectives: Understand the definition of a power series. Find the radius of convergence of a power series. Determine the end point convergence of power series. Find the Lagrange Error. Class Work Go over homework questions. Go over the examples from the worksheet. Homework Finish the Worksheet.
Section 9.4-9.5 Power Series and Lagrange Error Day 120 3/12/2014 Assignment Objectives: Understand the definition of a power series. Find the radius of convergence of a power series. Determine the end point convergence of power series. Find the Lagrange Error. Class Work Go over homework questions. Go over the examples from the worksheet. Homework Finish the Worksheet.
Section 9.4-9.5 Power Series and Lagrange Error Day 121 3/13/2014 Assignment Objectives: Understand the definition of a power series. Find the radius of convergence of a power series. Determine the end point convergence of power series. Find the Lagrange Error. Class Work . Practice AP Free response Questions. Finish the worksheet.
Section 9.4-9.5 Power Series and Lagrange Error Day 122 3/14/2014 Assignment Objectives: Understand the definition of a power series. Find the radius of convergence of a power series. Determine the end point convergence of power series. Find the Lagrange Error. Class Work . Practice AP Free response Questions. Finish the Worksheet.
Chapter 9 Review Day 123 3/16/2014 Assignment Objectives: Find the geometric power series that represent a function. Construct a power series using series operation Find the Taylor or the Maclaurin series for the given function. Find the binomial series. Class Work Go over the warm-up. Finney –Kennedy text book. All Standardized Test Questions of sections 9.1-9.5
Warm-up
Warm-up
Sections 9.1-9.5 Review Answers Pg 483 Pg 493 Pg 501 Pg 512 Pg524 66 F 37 T 38 F 55 T 66 T 67 F 38 F 39 T 56 F 67 T 68 C 39 E 40 D 57 B 68 B 69 A 40 A 42 B 58 C 69 A 70 E 41 C 43 A 59 E 70 E 71 D 42 A 60 D 71 C
Chapter 9 Review Day 124 3/17/2014 Assignment Objectives: Find the geometric power series that represent a function. Construct a power series using series operation Find the Taylor or the Maclaurin series for the given function. Find the binomial series. Class Work/Homework Page 526 1, 3, 19, 21, 33, 41, 45, 49 , 55 and 59.
Chapter 9 Review Day 121 3/18/2014 Assignment Objectives: Find the geometric power series that represent a function. Construct a power series using series operation Find the Taylor or the Maclaurin series for the given function. Find the binomial series. Class Work Practice AP Free Response Questions.
Chapter 9 Test Day 121 3/18/2014 Assignment Objectives: Find the geometric power series that represent a function. Construct a power series using series operation Find the Taylor or the Maclaurin series for the given function. Find the binomial series. Class Work Chapter 9 Test
Chapter 9 Test Day 122 3/31/2014 Assignment Objectives: Find the geometric power series that represent a function. Construct a power series using series operation Find the Taylor or the Maclaurin series for the given function. Find the binomial series. Class Work Go over the Test
Section 10.1 Plane Curves and Parametric Equations Day 122 4/1/2014 Assignment Objectives: Sketch the graph of the curve given by a set of parametric equations. Eliminate the parameter in a set of parametrical equations. Find a set of parametric equations to represent a curve. Class Work Go over the definition and examples of parametrical equation. Homework Start working on the handout.
Warm-up
Section 10.1 Plane Curves and Parametric Equations Day 123 4/2/2014 Assignment Objectives: Sketch the graph of the curve given by a set of parametric equations. Eliminate the parameter in a set of parametrical equations. Find a set of parametric equations to represent a curve. Class Work Go over the definition and examples of parametrical equation. Find the derivative of parametric equations . Homework Page 535 # 7,11,15,17,19, 23.
Section 10.2 Vectors in the Plane. Day 124 4/3/2014 Assignment Objectives: Review definition of vector and operation with vectors. Find the velocity, acceleration, and speed in vector form. Find displacement and distance travelled in vector form. Class Work Go over Page 536 # 45-50 all. Go over definition of vectors and operations with vectors examples. Homework Page 545 # 1-23 odd.
Section 10.2 Vectors in the Plane. Day 125 4/4/2014 Assignment Objectives: Review definition of vector and operation with vectors. Find the velocity, acceleration, and speed in vector form. Find displacement and distance travelled in vector form. Class Work Go over the homework Go over definition of vectors and operations with vectors examples. Homework Worksheet
Section 10.2 Vectors in the Plane. Day 126 4/7/2014 Assignment Objectives: Review definition of vector and operation with vectors. Find the velocity, acceleration, and speed in vector form. Find displacement and distance travelled in vector form. Class Work Go over the homework Go over definition of vectors and operations with vectors examples. Homework Worksheet
Section 10.2 Vectors in the Plane. Day 127 4/8/2014 Assignment Objectives: Review definition of vector and operation with vectors. Find the velocity, acceleration, and speed in vector form. Find displacement and distance travelled in vector form. Class Work Go over definition on page 542. and examples 7 and 8. Page 545 # 25,26. Homework Page 545 # 27, 31, 33, 35, 37, 43.
Section 10.2 Vectors in the Plane. Day 128 4/9/2014 Assignment Objectives: Review definition of vector and operation with vectors. Find the velocity, acceleration, and speed in vector form. Find displacement and distance travelled in vector form. Class Work/Homework Go over the Homework. Go over Examples. Finish the Worksheet.
Section 10.3 Polar Equation Day 130 4/10/2014 Assignment Objectives: Polar coordinates definition. Convert from rectangular to polar coordinates. Graph polar curves Class Work Go over of conversion from polar to rectangular coordinates. Graph a simple polar curve. Homework Page 558 # 1-15 odd, and 19-29, 37,and 39.
AP Review
Section 10.3 Polar Equation Day 130 4/11/2014 Assignment Objectives: Polar coordinates definition. Convert from rectangular to polar coordinates. Graph polar curves Class Work Go over of conversion from polar to rectangular coordinates. Graph a simple polar curve. Homework Worksheet
Section 10.3 Polar Equation Day 131 4/14/2014 Assignment Objectives: Polar coordinates definition. Convert from rectangular to polar coordinates. Graph polar curves. Derivatives of polar curves. Area of polar curves. “Block Schedule “ Class Work Go over AP Free response . Go over examples of area of the polar curves. Finish the worksheet.
AP Free Response
Section 10.3 Polar Equation Day 132 4/15/2014 Assignment Objectives: Polar coordinates definition. Convert from rectangular to polar coordinates. Graph polar curves. Derivatives of polar curves. Area of polar curves. Class Work Go over AP Free response . Go over the examples of polar curves. Homework Finish the worksheet.
AP Free Response
Chapter Review Day 133 4/16/2014 Assignment Objectives: Polar coordinates definition. Convert from rectangular to polar coordinates. Graph polar curves. Derivatives of polar curves. Area of polar curves. “Block Schedule “ Class Work Go over page 561 # 51-53. Chapter Test
Chapter Review Day 134 4/17/2014 Assignment Objectives: Polar coordinates definition. Convert from rectangular to polar coordinates. Graph polar curves. Derivatives of polar curves. Area of polar curves. Class Work Go over the chapter Test
Chapter Review Day 135 4/23/2014 Assignment Objectives: Polar coordinates definition. Convert from rectangular to polar coordinates. Graph polar curves. Derivatives of polar curves. Area of polar curves. “Block Schedule “ Class Work Practice AP Free Response . Review Chapter 10. Work on Page 558 # 66-66, Page 559 # 1-4 all. Page 560 # 5, 9, 11, 21, 27,29, 31, 48, and 51-53 all. Homework Start reviewing for the AP Exam.
Free Response
Chapter 10 Quiz Day 136 4/25/2014 Assignment Objectives: Polar coordinates definition. Convert from rectangular to polar coordinates. Graph polar curves. Derivatives of polar curves. Area of polar curves. Class Work Quiz on Polar Area