Advanced Placement Calculus Assignment Log

Transcription

1 Advanced Placement Calculus Assignment Log Allen Park High School Summer Assignment #1: Pre-Calculus Chapter Section and Topic Pages Problems Assigned Preliminaries 1 Real Numbers 7 3(e, f, g, h), 5, 10, 16, 18, 25, 33, 35, 40, 42, 43, Coordinates and Lines , 15, 22, 23, 24, 27, 29, 36, 39, 47, 49, 52, 53, 56 3 Functions 25 1, 2, 8, 9, 10, 14, 16, 17, 27-36, 43, 45(a, e) Continue section (a, b, f, e), 51, 56, 61 4 Shifting Graphs , 2, 3, 4, 6, 8, 10, 12, 17, 18, 20, 21, 29, 30, 33, 46, 49, 55, 67, 69, 79, 80 5 Trig Functions , 2, 5, 9, 14, 31-34, 37, 39-42, 45, 47-50, 51, 55, 58, 46 Summer Assignment #2: AB Calculus Introduction Packet This information comes from an AP Calculus AB preparation manual that I purchased. There are a few errors in the packet for which I not able to edit. When I find errors as I redo the assignment, I will post them on the class discussion board. This assignment will give you a basic understanding of the derivative and what we will begin studying in the fall. I will expect most of your discussion board questions to come from this packet. There is a lot of problem solving and is not indicative of how the daily workings of the class will be (not until we review for the AP Exam), so do not become frustrated. Summer Assignment #3: Discussion Board Posts 3 posts/responses are required to earn a C on this assignment, 4 a B, and 6 for an A. Anything less than 3 will result in zero points for the assignment. All students are required to post a question about the summer assignment or questions about the course in general. You must post at least twice by August 15th, and the remaining must be complete by midnight on Labor Day. You may pose a question, respond to another student s post, or respond to one of my posts to earn credit. You must provide your first and last name to every post in order to receive credit. A post of one or two words and meaningless comments do not count. I agree or You are correct are appropriate comments, but will not suffice to earn credit. These types of comments should be followed by a justification and/or a clarifying statement of why you agree or why they are correct. I will keep track as the summer moves on. Good luck. Address: Class Website: tim.brown@apps.k12.mi.us I check my almost daily during the summer. Send me an if you have questions. I will be continually updating my website in preparation for the next school year. I will be adding all worksheets and answer keys that are appropriate for the course throughout that will be needed throughout the year. I also check the discussion board almost daily during the summer so post your questions there. Good Luck! Mr. Brown

2 Application of Derivatives Derivatives Limits and Continuity Chapter 1 Section and Topic Pages Problems Assigned 1.1 Rates of Change and , 9-12, 21-31, 35 Limits 1.2 Finding Limits odd, 34(a, d), 35(a, d), 37, 39, 43, 3-45, 49, Extensions of the Limit , 8, 13, 15, 21-27, 31 Concept 1.5 Continuity , 29-40, 45-50, 63, 65, Tangent Lines 101-1, 2, 5-20, 23, Chapter 1 Chapter 1 Test Chapter 2 Section and Topic Pages Problems Assigned 2.1 Derivative of a Function , 10, 13, 17, 20, 23, 24, continued , 38-49, 51, Differentiation Rules continued , 39-48, 2.3 Rates of Change , 7, 10, 11, 17, continued , 21, 23, 24, Derivatives of Trig Functions 2.4 continued , 53, 54, 58, 59, 63, 64 Mid-Chapter Mid-Chapter 2 Test 2.5 The Chain Rule , 9-14, 19-29, 39, 43, 44, 49, 55, 59, continued , 27-29, 39, 43, 44, 49, 55, 59, Implicit Differentiation , 13, 15, 21, 25, 28, continued , 36, 37, 40, 43, 46-48, 58, 60, 63, Rates of Change , 8, 11-15, 17, continued , 23, 29, 31, 32 Related Rates Worksheets Chapter , 4, 8, 11-15, 17, 18, 21, 23, 24, 29, 31, 32 for Test Chapter 2 Test Chapter 3 Section and Topic Pages Problems Assigned 3.1 Extreme Values , 10, 13, 14, 16, 19, 23, 25, The Mean Value , 10, 11(a), Theorem 3.3 The First Derivative , 2, 4, 5, 9, 11, 17, 18, 29, 30, 32, 43, 44 Test 3.1 to 3.3 Worksheet 3.4 Graphing with y and y 217 1, 2, 4, 9, 11, 14, 18, 30, 41, 42, continued , 72, 77, Limits as x, and , 4, 7-9, 11, 12, 15, 35, 36, 39, 40 Asymptotes 3.6 Optimization , 14, 15, 17, 21, 27 Chapter , 51, 52, 55, 59, 63, 66 Worksheets Chapter 3 Test

3 Applications of Integration Integration Chapter 4 Section and Topic Pages Problems Assigned 4.1 Indefinite Integrals , 4, 8, 11, 12, 20, 28, 31, 40, 47, 49-51, Differential Equations , 16, 18, continued , 23-35, 37, 38, 51, 53,55, teach curve sketching 4.3 Integration by , 2, 5, 8, 10, 11, 15-30, 33, 36 Substitution 4.3 continued , 44-48, 51, 54, 59, 60 Chapter 4 Practice Exercises , 16, to 4.3 Worksheets Mid-Chapter 4 Test 4.4 Estimating Sums: Midpoint, Left- & Right- Hand Approximations 4.5 Riemann Sums , 29, 30, 32 AP MC Practice Exam MH 2011 Test 1 #1, 3, 4, 6, 8, 10-13, 15, 16, 18, 23, 24, 78, 81, 86, 89, Mean Value Theorem continued The Fundamental Thm continued , 46, 47, 51, continued , 52, 56 & Worksheet from Peterson s AP P Substitution , 21, 25-28, 35, 36 Worksheet Chapter 4 Test and worksheet Chapter 4 Test Chapter 5 Section and Topic Pages Problems Assigned 5.1 Area Between Curves continued , 23, 35, 41, 45, 46, 48, Finding Volumes Volumes of Solids of Revolution 5.3 continued continued Worksheet 5.4 Cylindrical Shells continued continued , 29, 31, 32, 37, Modeling Applications , 9-11 Ch 5 Worksheets Chapter 5 Test

4 AP Exam Techniques of Integration Transcendental Functions Chapter 6 Section and Topic Pages Problems Assigned 6.1 Inverse Functions and , 2003 FRQ AB1 Their Derivatives 6.1 continued , 31-34, Natural Logarithms even 6.2 continued , 48, 50, odds, 6.2 continued evens 6.3 The Exponential , FRQ 2008 AB6 Function 6.3 continued continued , 67, 68 Expon. Functions x 6.4 a and loga x continued continued , Growth and Decay , 7, continued , 13, 14, Mid- Chapter 6 Mid-Chapter 6 Test, 2008 FRQ AB1 6.6 L Hôpital s Rule even, 37, 38, 41, Inverse Trigonometric Functions 6.8 continued even, Worksheets 6.9 Derivatives of Inverse 518 1, 2, 10, 14, odd Trig functions 6.9 continued even, 50, 54, continued , 51-53, 55, Chapter 6 Test Chapter 6 Test Chapter 7 Section and Topic Pages Problems Assigned 7.1 Basic Integration , Formulas 7.1 continued , 41-43, 48, 51, 53, 57, odd 561 Slope fields day 1 Slope Fields Worksheet 2 General & Specific Solutions of DE 2/slope fields wksht AP Year Type 1997 MC MC In groups 1997 MC/2000 FRQ MC/FRQ Discuss Princeton Exam 3 Full Groups 1998 MC MC 2000 FRQ FRQ 1997 MC MC

5 After AP Exam AP Exam 2001 FRQ FRQ 2002 FRQ FRQ 2003 FRQ FRQ 2004 FRQ FRQ 1993 MC MC Test over Multiple Choice 2006 FRQ FRQ 2007 FRQ FRQ 2008 FRQ FRQ Test over Free Response Questions 2009 FRQ FRQ 2003 MC MC 1998 MC MC 2010 FORM B FRQ FRQ B 2009 FORM B FRQ FRQ B 1985 MC MC 2008 FORM B FRQ FRQ B 2007 FORM B FRQ FRQ B 2003 FORM B FRQ FRQ B 2000 FORM B FRQ & MC FRQ B Final & MC 2005 FRQ FRQ 2006 FORM B? FRQ FRQ B? Repeat 2007 FORM B? FRQ FRQ B? Repeat Practice MC #2 & 3 from MC Practice Test book s 2005 FORM B FRQ FRQ B AP TEST! Take home quiz Chapter 7 Section and Topic Pages Problems Assigned 7.2 Integration by Parts 567 1, 2, 5, 6-10, continued , 4, 11-18, 23, continued , 31, 34, 36 Quiz 7.3 Partial Fractions continued Parametric Derivatives Quiz Exam Exam