Advanced Placement Calculus Assignment Log Allen Park High School 2012 2013 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, 47 2 - Coordinates and Lines 15-17 7, 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 3 25 47(a, b, f, e), 51, 56, 61 4 Shifting Graphs 32-34 1, 2, 3, 4, 6, 8, 10, 12, 17, 18, 20, 21, 29, 30, 33, 46, 49, 55, 67, 69, 79, 80 5 Trig Functions 43-45 1, 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. Email Address: Class Website: tim.brown@apps.k12.mi.us I check my email almost daily during the summer. Send me an email if you have questions. http://aphsbrown.weebly.com 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
Application of Derivatives Derivatives Limits and Continuity Chapter 1 Section and Topic Pages Problems Assigned 1.1 Rates of Change and 57-59 1-6, 9-12, 21-31, 35 Limits 1.2 Finding Limits 65-66 1-29 odd, 34(a, d), 35(a, d), 37, 39, 43, 3-45, 49, 50 1.4 Extensions of the Limit 83-85 1-5, 8, 13, 15, 21-27, 31 Concept 1.5 Continuity 95-97 1-10, 29-40, 45-50, 63, 65, 67 1.6 Tangent Lines 101-1, 2, 5-20, 23, 26 102 Chapter 1 Chapter 1 Test Chapter 2 Section and Topic Pages Problems Assigned 2.1 Derivative of a Function 117 1-8, 10, 13, 17, 20, 23, 24, 39-44 2.1 continued 118-120 27-34, 38-49, 51, 52 2.2 Differentiation Rules 129-130 1-14 2.2 continued 129-130 15-36, 39-48, 2.3 Rates of Change 139-141 1-4, 7, 10, 11, 17, 18 2.3 continued 140-141 20, 21, 23, 24, 28 2.4 Derivatives of Trig 152 1-30 Functions 2.4 continued 152-153 33-49, 53, 54, 58, 59, 63, 64 Mid-Chapter Mid-Chapter 2 Test 2.5 The Chain Rule 160-162 1-4, 9-14, 19-29, 39, 43, 44, 49, 55, 59, 69 2.5 continued 161-162 15-18, 27-29, 39, 43, 44, 49, 55, 59, 69 2.6 Implicit Differentiation 170 1-11, 13, 15, 21, 25, 28, 30 2.6 continued 170-171 33, 36, 37, 40, 43, 46-48, 58, 60, 63, 66 2.7 Rates of Change 176-177 1-4, 8, 11-15, 17, 18 2.7 continued 178-179 21, 23, 29, 31, 32 Related Rates Worksheets Chapter 2 181-183 1, 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 195 1-7, 10, 13, 14, 16, 19, 23, 25, 27 3.2 The Mean Value 203-204 1-6, 10, 11(a), 31-37 Theorem 3.3 The First Derivative 208-209 1, 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, 56 3.4 continued 218-219 63-68, 72, 77, 84 3.5 Limits as x, and 230-231 1, 4, 7-9, 11, 12, 15, 35, 36, 39, 40 Asymptotes 3.6 Optimization 242-244 4-7, 14, 15, 17, 21, 27 Chapter 3 270-271 49, 51, 52, 55, 59, 63, 66 Worksheets Chapter 3 Test
Applications of Integration Integration Chapter 4 Section and Topic Pages Problems Assigned 4.1 Indefinite Integrals 280-281 1, 4, 8, 11, 12, 20, 28, 31, 40, 47, 49-51, 53 4.2 Differential Equations 288 1-13, 16, 18, 20 4.2 continued 289-290 21, 23-35, 37, 38, 51, 53,55, teach curve sketching 4.3 Integration by 296-297 1, 2, 5, 8, 10, 11, 15-30, 33, 36 Substitution 4.3 continued 297 33-36, 44-48, 51, 54, 59, 60 Chapter 4 Practice Exercises 358 15, 16, 23-4.1 to 4.3 Worksheets Mid-Chapter 4 Test 4.4 Estimating Sums: 305 1-6 Midpoint, Left- & Right- Hand Approximations 4.5 Riemann Sums 320-321 1-7, 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, 90 4.6 Mean Value Theorem 330-331 1-23 4.6 continued 331 24-38 4.7 The Fundamental Thm 338-339 1-32 4.7 continued 339 33-44, 46, 47, 51, 53 4.7 continued 339-340 48-50, 52, 56 & Worksheet from Peterson s AP P. 271 4.8 Substitution 344-345 6-14, 21, 25-28, 35, 36 Worksheet Chapter 4 Test 357 23-61 and worksheet Chapter 4 Test Chapter 5 Section and Topic Pages Problems Assigned 5.1 Area Between Curves 371-372 1-12 5.1 continued 372-373 13-18, 23, 35, 41, 45, 46, 48, 51-54 5.2 Finding Volumes 377-378 1-8 5.3 Volumes of Solids of 385 1-14 Revolution 5.3 continued 385 19-30 5.3 continued 386 31-42 5.3 Worksheet 5.4 Cylindrical Shells 392 1-14 5.4 continued 392-393 15-26 5.4 continued 392-393 28, 29, 31, 32, 37, 38 5.10 Modeling Applications 441-442 1-4, 9-11 Ch 5 Worksheets Chapter 5 Test
AP Exam Techniques of Integration Transcendental Functions Chapter 6 Section and Topic Pages Problems Assigned 6.1 Inverse Functions and 454-455 1-24, 2003 FRQ AB1 Their Derivatives 6.1 continued 456 25-29, 31-34, 38 6.2 Natural Logarithms 465 2-36 even 6.2 continued 465-466 38, 48, 50, 51-67 odds, 6.2 continued 466 52-68 evens 6.3 The Exponential 472 1-22, FRQ 2008 AB6 Function 6.3 continued 472-473 35-50 6.3 continued 473 51-63, 67, 68 Expon. Functions x 6.4 a and loga x 480-481 1-38 6.4 continued 481 39-58 6.4 continued 481 59-64, 71-76 6.5 Growth and Decay 488-489 1-4, 7, 10 6.5 continued 489-490 11, 13, 14, 21-23 Mid- Chapter 6 Mid-Chapter 6 Test, 2008 FRQ AB1 6.6 L Hôpital s Rule 496 2-28 even, 37, 38, 41, 42 6.8 Inverse Trigonometric 510-511 1-16 Functions 6.8 continued 511-512 18-44 even, 49-53 Worksheets 6.9 Derivatives of Inverse 518 1, 2, 10, 14, 23-47 odd Trig functions 6.9 continued 518 24-42 even, 50, 54, 56 6.9 continued 518 49, 51-53, 55, 57-64 Chapter 6 Test Chapter 6 Test Chapter 7 Section and Topic Pages Problems Assigned 7.1 Basic Integration 560 1-9, 17-33 Formulas 7.1 continued 560-34-38, 41-43, 48, 51, 53, 57, 63-69 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
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, 19-22 7.2 continued 567-569 3, 4, 11-18, 23, 24 7.2 continued 567-269 30, 31, 34, 36 Quiz 7.3 Partial Fractions 576-578 1-24 7.3 continued 576-578 29-45 Parametric Derivatives Quiz Exam Exam