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 # 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. Assignments Class work Warm-up page 45 # all. LCD Power Point presentation. Go over examples 3, 4, 7, and 8. Homework: Page 52 # 1-4 all, 9 11, 14, 17, 19, odd,37, 39, 41, 42.
Chapter 1 Review Day 6 (8/28/2012) Objectives: Review concepts of sections Assignments Class work Page 54 # 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 # 1,3, 5, 11, 15, 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 # even, 52, 55, 62. Homework Page # all, 51,53, 59, 61, 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 # 11, 13, 15, 19, 21, 23, 27, 33, 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 # all, Quick Quiz 1- 4 all. Go over the quiz. Go over definition of continuity and examples. Homework Page # 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 # all. Homework: Hand- out
Answers of even # on page 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< a) yes, b) yes, c) No d) No, 14. every were on [-1, 3) except for x = 0, 1, yes, assign the value 0 to f(3).
Section 2.3 Quiz Day 13 (9/7/2012) Objectives: Assignment Class Work: Go over homework questions. Quiz Homework Read section 2.4 Work on problems Page 92 # 5, 9,11, 13, 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, odd, 33 (a-c, only) 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 all. Quick Quiz on page all. Homework Page # 3, 9, odd, 25, 29, 33, 41, 43, 47, 49, 53.
Chapter 2 Review Day 16 9/12/2012 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. 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, 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 # 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, 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 # 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, all. Homework Page 146 # 5, 7, 10, 15, 21, 23, 27,
Review Sections Day 23 (9/24/2012) Objectives: Review differentiation rules and derivatives of trigonometric functions. Assignment Class Work Go over the warm up Hand-out Homework 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, 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 Work Go over the Chain Rule examples. Go over page 162 # 10, 12, 18, 54. Homework Page 162 # 9, 11, 13, 17, 23, 25,33, 49*, all.
Section 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, 27, 31, all. Page 178# 5, 11, 19, 21, 25, 31, 37, 39, 43, 51.
Chapter 3 Review Day 28 (10/2/2012) Objectives: Use all differentiation rules to find the derivative. Use the derivative concept to solve application problems. Assignment Class Work/ Homework Hand –out
Chapter 3 Review Day 29 10/2/2012 Objectives: Use all differentiation rules to find the derivative. Use the derivative concept to solve application problems. Assignment Class Work/ Homework Hand –out
Chapter 3 Review Day 30 10/4/2012 Objectives: Use all differentiation rules to find the derivative. Use the derivative concept to solve application problems. Assignment Class Work/ Homework Hand –out AP- Questions
Day 31 10/5/2012 Chapter 3 Test
Section 4.1 Extreme Values of Functions Day 32 10/ 8/2012 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 Mean Value Theorem and Connecting f with f’ and f”. Day 33 10/9/2012 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 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 4.4 Modeling and Optimization Day 34 10/11/2012 Objectives: Use the derivatives to so solve optimization problems. Assignment Class work Solve page 218 # G over homework questions. Go over Theorem 6 and 7 page 223. Homework Page 226 1, 3, 7, 19, 23, 25.
Section Quiz Day 35 10/11/ 2012 Objectives: Review and test concepts of sections Assignment Class work Go over homework questions. 30 min Quiz
Section 4.4 Modeling and Optimization Day 36 10/12/ 2012 Objectives:. Use the derivatives to so solve optimization problems. Assignment Class Work Go over the Quiz Check the Examples of section 4.4 and solve the following problems. Page 226 # 1, 3, 7, 19, 23, 25 And page 226 # 9, 18.
Section 4.5 Linearization and Newton’s Method Day 37 10/15/ 2012 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 38 10/16/ 2012 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, , 37, 41, 45, 49.
Section 4.6 Related Rates Day 39 10/17/ 2012 Objectives: Model rates of change, including related rates problems. Assignment Class Work Go over example of related rates. Homework Page 251 # 9, 13, 19, 29, 34.
Day 40 10/18/ 2012 Quiz Sections
Chapter 4 Review Day 41 10/19/2012 Objectives: Review First and second derivative test. Optimization problems. Linearization and differentials. Related rate problems. Assignment Class Work Go over the quiz Start the homework Homework Page 256 # 13, 17, 27, 32, 33, 35, 37, 39, 43, 49, 53.
Chapter 4 Review Day 42 10/22/2012 Objectives: Review First and second derivative test. Optimization problems. Linearization and differentials. Related rate problems. Assignment Class Work Chapter 4 AP Questions Hand out.
Chapter 4 Review Day 43 10/23/2012 Objectives: Review First and second derivative test. Optimization problems. Linearization and differentials. Related rate problems. Assignment Class Work AP Questions Hand Out Homework Finish the Hand Out
Day 43 10/24/2012 Chapter 4 Test
Section 5.1 Estimating with Finite Sums. Day 44 10/25/2012 Objectives. Use Rectangular Approximation Method (RAM). To find area under the curve and volume of a solid. Assignment Class Work Read Examples 1 and 4 on page Homework Page 270 # 1, 3, 15, 17.
Day 45 10/26/2012 NO School Teachers Planning Day
Section Estimating with Finite Sums Definite Integrals. Day 47 10/30/2012 Objectives: Use Rectangular Approximation Method (RAM). Riemann Sum Compute definite integrals. (Block Schedule) Assignment Class Work Review RAM and the definition of definite integral. Page 127 # 3, 17. Page 273 # all. Page 282 # 1-6 all. 29, 31, page 283 # all. Page 290 # 1, 3, 11, 15, 19, 21, 27.
Section Fundamental Theorem of Calculus And Trapezoidal Rule DAY 49 11/1/2012 Objectives: Review and use the fundamental theorem of calculus. Review Trapezoidal Rule. Assignment Class Work Review the fundamental theorem of Calculus Page 292 # all Page 293 # 1-4 all. Page 302 # 3, 9, 11, 19,21, 23, odd and 57. Page 312 # 7. (Block Schedule)
Chapter 5 Review Day 51 11/5/2012 Objectives: Use Rectangular Approximation Method (RAM). Riemann Sum Review and use the fundamental theorem of calculus. Review Trapezoidal Rule. Assignment Class work Page 314 # all. Page 315 Quick Quiz 1-4 all. Page # 9, 12, 13, 15, 19, 23,27, 33, 39, 40, 46, 54.
Day 52 11/7/2012 Chapter 5 Test
Section 6.2 Antidifferentiation by substitution. Day 53 11/8/2012 Objectives: Use substitution method to evaluate indefinite and definite integrals. Assignment Go over examples of integration by substitution. Class Work/Homework Page 338 # odd, 25, 27, 29, 33, 39, 47, 49, 53, 55, 61, 65.
Section 6.1 Slope Fields and Euler’s Method Day 54 11/9/2012 Objectives: Differential Equations Slope Fields Euler’s Method Assignment Class Work Go over definition of differential equations and slope fields. Class Work/ Homework Page 327 # 5, 9, 11, 17, 21*, 23, 25, 29, 31, 35, 37, 41, 43.
Section 6.2 Antidifferentiation by Substitution Day 55 11/13/2012 Objectives: Use substitution method to evaluate indefinite and definite integrals. Assignment Class Work Go over Chapter 5 test. Go over homework questions. Hand out Due on 11/14/2012
Section 6.3 Antidifferentiation by Parts Day 56 11/14/2012 Objectives: Use product Rule to derive Integration by Parts Method. Solve for the unknown Integral. Assignment Class Work Go over integration by parts method. Go over examples of integration by parts. Homework Finish the hand out.
Section 6.3 Antidifferentiation by Parts Day 57 11/15/2012 Objectives: Use product Rule to derive Integration by Parts Method. Solve for the unknown Integral. Assignment Class Work Go over integration by parts method. Go over examples of integration by parts. Homework Page 346 # 1-23 odd.
Section 6.3 Antidifferentiation by Parts Day 58 11/16/2012 Objectives: Use product Rule to derive Integration by Parts Method. Solve for the unknown Integral. Assignment Class Work Go over homework questions. Page 346 # 2-28 even Page 347 # all.
Section 6.1 Slope Fields and Euler’s Method Day 59 11/19/2012 Objectives: Differential Equations Slope Fields Euler’s Method Assignment Class Work Go over definition of differential equations and slope fields. Class Work/ Homework Page 327 # 5, 9, 11, 17, 21*, 23, ,43.
Day 60 11/20/2012 Quiz Sections
Section 6.4 Exponential Growth and Decay Day 61 11/ 26/2012 Objectives: Find the solution of e differential equation by separating variables. Low of exponential change. Exponential growth and Decay Assignment Class Work Go over the Quiz Questions. Solve differential equations by separation variables. Homework: Page 357 # 1-9 odd, all. 19, 21, 23, 25.
Section 6.4 Exponential Growth and Decay Day 62 11/27/2012 Objectives: Find the solution of e differential equation by separating variables. Low of exponential change. Exponential growth and Decay Assignment Class Work Go over the Quiz Questions. Solve differential equations by separation variables. Hand out Homework: Finish the hand out.
Section 6.5 Logistical Growth Day 63 11/28/2012 Objectives: Integrate partial fractions with two and three factors. Use log divizion and partial fractions to Integrate Assignment Class Work Go over the warm up page all. Go over Homework questions. Homework: Page 369 # 1-17 odd.
Section 6.5 Logistical Growth Day 64 11/29/2012 Objectives: Integrate partial fractions with two and three factors. Use log divizion and partial fractions to Integrate Logistic Differential Equation. Assignment Class Work: Go over Homework Questions. Page 369 # 6-14 even. Page 357 # 8, 31.
Day 65 11/30/2012 Quiz Sections
Section 6.5 Logistical Growth Day 66 12/3/2012 Objectives: Integrate partial fractions with two and three factors. Use log division and partial fractions to Integrate Logistic Differential Equation. Assignment Class work Go over examples page # 4 and 5 Page 370 # 35. Homework Page 369 # odd.
Section 6.5 Logistical Growth Day 67 12/4/2012 Objectives: Integrate partial fractions with two and three factors. Use log division and partial fractions to Integrate Logistic Differential Equation. Assignment Class Work Page 370 # all. Quick Review page 372 # 1-4 all.
Chapter 6 Review Day 68 12/ 5/ 2012 Objectives: Review Euler’s Method Slope fields. Integration by substitution and by parts. Exponential growth and Decay. Logistical Equation Assignment Class Work Check this week homework ask questions. Page 373 # 5, 7, 11, 13, 21, 23,33, 39,41,51, 53.
Day 69 12/6/2012 Chapter 6 Test
Section 7.1 Integral As Net Change Day 70 12/7/2012 Objectives: Use integration as a net change. Solve problems involving motion and consumption. Assignment Class Work Go over the chapter 6 test Homework Read examples 1-6 page
Section 7.1 Integral As Net Change Day 71 12/10/2012 Objectives: Use integration as a net change. Solve problems involving motion and consumption. Assignment Class work Go over net change examples. Homework Page 386 # 3, 7, 9, 11, 19, 21,27.
Section 7.2 Area in the Plane Day 72 12/11/2012 Objectives: Find the area between two curves. Integrating with respect to y. Use geometric formulas t find the area under the curve. Assignment Class Work Go over examples # 1,3,4. Homework: Page 395 # 3, 5, 13, 33, 35, 37,41.
Sections Practice Day 73 12/12/2012 Objectives: Find the area between two curves. Integrating with respect to y. Use geometric formulas t find the area under the curve. Assignment Class Work Page 388 # all, Page 397 # all.
Answers Page Page 388 Page F 50.T 32.T 51.F 33.C 52.A 34.D 53.E 35.B 54.B 36.A 55.A
Section 7.3 Volumes Day 74 12/13/2013 Objectives: Find the Volume as an integral. Find the volume as a cross section. Use circular cross sections to find the volume. Assignment Class Work. Check the answers of yesterday’s class work. Read problems #8, 10, 2 a, b page 406 Homework Page # 1, 7, 9, 23, 39, 33.
Section 7.3 Volumes Day 76 12/17/2012 Objectives: Find the Volume as an integral. Find the volume as a cross section. Use circular cross sections to find the volume. Assignment Class work Go over examples on revolution and cross section volumes. Page all. Page all. Due in the end of the class. Homework: Hand out
Section 7.3 Volumes Day 77 12/18/2012 Objectives: Find the Volume as an integral. Find the volume as a cross section. Use circular cross sections to find the volume. Assignment Class Work Finish the hand out
Section 7.4 Lengths of Curves Day 78 12/19/2012 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. Assignment Class Work Go over length of the curve formula. Go over example # 3-4 page 415. Homework Page 416 # 3,7, 9, 11, 13, 19, 21.
Section 7.4 Lengths of Curves Day 79 12/20/2012 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. Assignment Class Work Go over the warm up Class Work Page 416 # 24, page all. Homework Hand out
Section 7.4 Lengths of Curves Day 80 12/21/2012 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. Assignment Class Work Finish the hand out Homework Review chapter 1-7
Chapter 7 Review Day 81 1/7/2013 Objectives: Find the Volume as an integral. Find the volume as a cross section. Use circular cross sections to find the volume. Use length of a curve formula to find the arc length. Assignment Class Work Page # 1, 5, 17, 21, 24, 27, 55.
Day 82 1/8/2013 Chapter 7 Test
Section 8.2 L’Hopital’s Rules. Day 83 1/9/2013 Objectives: Use L’Hopital’s Rules to find the limit. Indeterminate forms 0/0, and ∞/∞. Assignment Class Work Examples of L’Hopital’s Rules. Show examples for which L’Hopital’s Rules does not work. Homework Page 450 # 9-25 odd, 33, 39, 45, 51.
Section 8.3 Relative Rates of Growth Day 84 1/10/2013 Objectives: Compare Rates of Growth. Use L’Hopital’s Rues to find Rates of Growth. Assignment Class Work Go over the Test Go over Definition Faster, Slower, Same-Rate of Change. Homework Page 457 #1-27 odd.
Sections Review Day 85 1/11/2013 Objectives: Use L’Hopital’s Rules to find the limit. Compare Rates of Growth. Use L’Hopital’s Rues to find Rates of Growth. Assignment Class Work Page 451 # all, Page 452 # 1-3 all. Page 458 # all. Due in the end of the class
Section 8.4 Improper Integrals Day 87 1/15/2013 Objectives: Evaluate integrals with infinite limit of integration. Evaluate integrals with a infinite discontinuity. Test of convergence and divergence. Block schedule Assignment Class Work Go over examples 1-6 of all forms of improper integrals. Page 467 # 1-13 odd, 19, 23, 25, 29, 31, 33, 35, 41.
Section 8.4 Improper Integrals Day 90 1/17/2013 Objectives: Evaluate integrals with infinite limit of integration. Evaluate integrals with a infinite discontinuity. Test of convergence and divergence. Assignment Class Work Page 468 # all.
Chapter 8 Review Day 91 1/22/2013 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. Assignment Class Work Go over the warm up Finish the hand-out Chapter Test
Chapter 8 Test Free Day 93 1/24/2013 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. Assignment Class Work Test
Chapter 8 Test Free Response Day 94 1/25/2013 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 Finish the free response questions.
Section 9.1 Sequences. Day 95 1/28/2013 Objectives: List the terms of an sequence. Determine if a sequence converges or diverges. Write a formula of the n-th term. Assignment Class Work Go over the definition of the limit of a sequence. Go over theorem Homework Page 604 # 1,5,23,45-59 odd.
Section 9.2 Series and Convergence Day 96 1/29/2013 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. Assignment Class Work Go over the definition of Convergent and Divergent series. Go over geometric series. Homework Page 614 # 1,5, 9-23 odd,25,27, 37,53,61, 69, 71, 103*.
Sections 9.3 The Integral Test and p-Series Day 97 1/30/2013 Objectives. Use the integral test to determine whether the infinite series converges or diverges. Use properties of p-series. Assignment Class Work Go over the integral test and the convergence of p- Series. Go over examples. Homework Page 622 # 1, 5, 9, odd.25, 27, 31,33.
Quiz Sections Day 97 1/31/2013 Objectives. Determine if a sequence converges or diverges. Write a formula of the n-th term. 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. Assignment Class Work Quiz Homework Read the examples of the next section.
Day 89 1/2/2013 Teachers Planning Day
Section 9.4 Comparisons of Series Day 99 2/5/2012 Objectives: Use the direct comparison test to determine if the series converges or diverges. Use the limit comparison to determine if the series converges or diverges. Assignment Class Work Go over the quiz Go over examples of direct and limit comparison test. Homework Read all the examples of this section. Page 630 # 3-27 odd.
Section 9.4 Comparisons of Series Day 100 1/5/2013 Objectives: Use the direct comparison test to determine if the series converges or diverges. Use the limit comparison to determine if the series converges or diverges. Assignment Class Work Go over the homework Go over examples of direct and limit comparison test. Homework Page 630 # 3-27 odd and all.
Section 9.5 Alternating Series. Day 101 2/6/2013 Objectives: Use the Alternate Series Test to determine whether the series converges or diverges. Use the Alternate Series Remainder to approximate the sum. Assignment Class Work Go over the warm up Go over alternate series test examples. Homework Page odd, 29,31, 37, 39, 43, 47, 51, 53, 57.
Section 9.6 The Ratio and Root test Day 102 2/7/2013 Objectives: Use the Ratio Test to determine whether a series converges or diverges. Use the Root Test to determine if the series converges or diverges. Assignment Class Work Go over examples of Ratio and Root Test. Homework Page 647 # odd, and odd.
Quiz Sections Day 102 2/8/2013 Objectives: Use the Direct Comparison Test, Limit Comparison, Alternate Series Test, Ratio Test, and Root Test, to determine the convergence or divergence or a series. Assignment Class Work Quiz Homework Go over the examples of section 9.7
Review Sections Day 103 2/11/2013 Objectives: Use the Direct Comparison Test, Limit Comparison, Alternate Series Test, Ratio Test, and Root Test, to determine the convergence or divergence or a series Assignment Class Work Finish the Hand out.
Quiz Sections Day 104 2/12/2013 Objectives: Use the Direct Comparison Test, Limit Comparison, Alternate Series Test, Ratio Test, and Root Test, to determine the convergence or divergence or a series Assignment Class Work Quiz Homework Go over the examples of section 9.7
Section 9.7 Taylor Polynomials and Approximations Day 105 2/15/2013 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. Assignment Class Work Go over examples of polynomial approximations and Taylor’s Theorem. Homework Find Maclaurin Polynomial of n-degree for: y= sin(x), y=cos(x), y=1/(1+x), and Go over the examples of section 9.8
Section 9.7 Taylor Polynomials and Approximations Day 106 2/14/2013 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. Early Release Day Class was cancelled due to the extensive number of absent students. Assignment Class Work Go over the Remainder of Taylor’s Theorem. Go over examples # 8 and # 9 Homework Page 558 # 25, 27, 29, 41, 43, 45, 49.
Section 9.7 Taylor Polynomials and Approximations Day 108 2/19/2013 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. Assignment Class Work Go over the Remainder of Taylor’s Theorem. Go over examples # 8 and # 9 Homework Page 558 # 25, 27, 29, 41, 43, 45, 49.
Section 9.8 Power Series Day 108 2/19/2013 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. Assignment Class Work Go over definition of power series and theorem Go over examples or radius of convergence. Homework Page 668 # 1-19 odd.
Section 9.8 Power Series Day 109 2/20/2013 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. Assignment Class Work Go over theorem 9.21 and examples. Page 668 # 8,12,16,28, 45, 46, 47, 48.
Section 9.9 Representation of Functions by Power series. Day 110 2/21/2013 Objectives: Find the geometric power series that represent a function. Construct a power series using series operation. Assignment Class Work Go over the warm-up. Go over examples of representation of functions as power series. Homework Page 676 # 1-13 odd. 17, 19, 21 and 35.
Section 9.9 Representation of Functions by Power series. Day 110 2/22/2013 Objectives: Find the geometric power series that represent a function. Construct a power series using series operation. Assignment Class Work Go over the warm-up. Go over examples of representation of functions as power series. Homework Page 676 # 1-13 odd. 17, 19, 21 and 35. Finish the homework
Section 9.10 Taylor and Maclauring Series Day 112 2/25/2013 Objectives: Find the Taylor or the Maclaurin series for the given function. Find the binomial series. Use a basic list of Taylor series to find other Taylor series. Assignment Class Work Go over the warm-up. Go over examples of theorem Homework Page 687 # 1, 7, 9, 13, 17, 21, 27, 33, 35, 41,.
Sections Review Day 113 2/26/2013 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. Assignment Class Work Hand out
Chapter 9 Review Day 114 2/27/2013 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. Assignment Class Work/Homework Finney –Kennedy text book. Go over Page 493 # page 502 # 4, page 528 # 61. All Standardized Test Questions of sections
Sections Review Answers Pg 483 Pg 493 Pg 501 Pg 512 Pg 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 115 2/28/2013 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. Assignment Class Work/Homework Finney –Kennedy text book. Go over homework questions Page 527 # 55,57,59, 61, 71, 73.
Day 116 2/28/2013 Chapter 9 Test
Day 117 3/4/2013 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. Assignment Class Work Finish the free response part of the Test.
AP Exam Practice of Chapter 9 Day 118 3/5/2013 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. Assignment Class Work Go over chapter 9 test. Homework Hand out
AP Exam Practice of Chapter 9 Day 118 3/6/2013 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. Assignment Class Work Go over chapter 9 test Free Response. Finish the hand out.
Section 10.2 Plane Curves and Parametric Equations Day 119 3/7/2013 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. Assignment Class Work Go over the definition of parametric equations and examples. Homework Page 718 # 3, 7, 17, 19, 33, 43, 45, 55. “Larson Text book”
Section 10.3 Parametric Equation and Calculus. Day 120 3/8/2013 Objectives: Find the slope of the tangent line to a curve given by a set of parametric equations. Find the arc length of the curve given by a set of parametric equations. Find the are of a surface of revolution. Assignment Class work Free Response make up. Class Work/ Homework Page 727 # 3, 5-11 odd, 27, 29, 33, 37, 39, 43, 49, 53,57.
Section 10.3 Parametric Equation and Calculus. Day 121 3/11/2013 Objectives: Find the slope of the tangent line to a curve given by a set of parametric equations. Find the arc length of the curve given by a set of parametric equations. Find the are of a surface of revolution. Assignment Class Work “Text Book Kennedy” Page 535 # 1, 3, 5, 7, 9, 15, 17, 21, 23, 27, 35, 36.
Section 10.2 Vectors in the Plane. Day 122 3/12/2013 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. Assignment Class Work Go over the warm up Page 536 # 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 123 3/13/2013 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. Assignment Class Work Go over definition on page 542. and examples 7 and 8. Homework Page 545 # 27, 31, 33, 35, 37, 43.
Sections Review Day 124 3/15/2013 Objectives: Find the slope of the tangent line to a curve given by a set of parametric equations. Find the arc length of the curve given by a set of parametric equations. Find the are of a surface of revolution. 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. Assignment Class Work Page 336 # all. Page 546 # all. Hand out “Block schedule”
Sections Review Day 125 3/18/2013 Objectives: Find the slope of the tangent line to a curve given by a set of parametric equations. Find the arc length of the curve given by a set of parametric equations. Find the are of a surface of revolution. 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. Assignment Class Work Go over the hand out questions. Page ,47, 49, # all. and 45,
Quiz Sections Day 126 3/19/2013 Objectives: Find the slope of the tangent line to a curve given by a set of parametric equations. Find the arc length of the curve given by a set of parametric equations. Find the are of a surface of revolution. 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. Assignment Class Work Quiz
Section 10.3 Polar Equation Day 127 3/20/2013 Objectives: Polar coordinates definition. Convert from rectangular to polar coordinates. Graph polar curves. Assignment 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, 37,39,45 odd.
Section 10.3 Polar Equation Day 128 3/21/2013 Objectives: Polar coordinates definition. Convert from rectangular to polar coordinates. Graph polar curves. Assignment Class Work Go over of conversion from polar to rectangular coordinates. Page 558 # 2-6 even. and 20,22,26,28
Section 10.3 Polar Equation Day 129 4/1/2013 Objectives: Polar coordinates definition. Convert from rectangular to polar coordinates. Graph polar curves. Derivatives of polar curves. Assignment Class Work Review polar coordinates and polar graphs find the derivative of polar equation. Finish the hand out
Section 10.3 Polar Equation Day 130 4/2/2013 Objectives: Polar coordinates definition. Convert from rectangular to polar coordinates. Graph polar curves. Derivatives of polar curves. Area of polar curves. Assignment Class Work Go over examples of Area between the origin and the polar curve examples. Class Work/ Homework Hand Out
Chapter 10 Review Day 131 4/3/2013 Objectives: Find the slope of the tangent line to a curve given by a set of parametric equations. Find the arc length of the curve given by a set of parametric equations. 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. Find derivative and area of polar curves. Assignment Class Work Hand out
Chapter 10 Review Day 132 4/4/2013 Objectives: Test all of the following concepts: Find the slope of the tangent line to a curve given by a set of parametric equations. Find the arc length of the curve given by a set of parametric equations. 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. Find derivative and area of polar curves. Assignment Class Work Free Response Questions Hand out.
Chapter 10 Test Day 132 4/5/2013 Objectives: Test all of the following concepts: Find the slope of the tangent line to a curve given by a set of parametric equations. Find the arc length of the curve given by a set of parametric equations. 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. Find derivative and area of polar curves. Assignment Class Work Chapter 5 Test
AP Review Day 132 4/8/2013 Objectives: Review for the AP exam Differential Equations Slope Fields Euler’s Method Assignment Class Work Hand out.
Go Over Chapter 10 Test Day 133 4/9/2013 Objectives: Find the slope of the tangent line to a curve given by a set of parametric equations. Find the arc length of the curve given by a set of parametric equations. 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. Find derivative and area of polar curves. Assignment Class Work Finish the free response. Go over the Test.
AP Review Day 134 4/10/2013 Objectives: Review for the AP exam Differential Equations Slope Fields Euler’s Method Differential equations with separable variables. Assignment Class Work Hand out
AP Review Day 136 4/11/2013 Objectives: Review for the AP exam Differential Equations Slope Fields Euler’s Method Differential equations with separable variables. Partial fractions. Assignment Class Work Hand out
AP Review Day 137 4/12/2013 Objectives: Review for the AP exam Differential Equations Slope Fields Euler’s Method Differential equations with separable variables. Partial fractions Assignment Class Work Quiz
AP Review Day 138 4/17/2013 Objectives: Review for the AP exam Differential Equations Slope Fields Euler’s Method Differential equations with separable variables. Partial fractions Logistical differential equation. “Block schedule” Assignment Class Work Hand out
AP Review Day 139 4/18/2013 Objectives: Review for the AP exam Differential Equations Slope Fields Euler’s Method Differential equations with separable variables. Partial fractions Logistical differential equation. “Block schedule” Assignment Class Work Hand out
AP Review Day 138 4/19/2013 Objectives: Review for the AP exam Differential Equations Slope Fields Euler’s Method Differential equations with separable variables. Partial fractions Logistical differential equation. Assignment Class Work Grand Bash Homework AP Review Topics 6-15