1 Rio Hondo College Math 190: Calculus I Fall Semester, 2008 Prerequisite: Math 180 with a grade of C or better , or appropriate assessment. Time and Place: Monday and Wednesday 1:00 PM to 3:05 PM. Room: Sc 329 Ticket number: 0855 Instructor: George Wang Office: S320Q, telephone: 562.463.7569 e-mail: gwang@riohondo.edu Office hours: Monday and Wednesday: 8:40 AM to 9:40 AM, 11:45 AM to 12:15 PM., Tuesday and Thursday: 8:40 AM to 9:00 AM and by appointment. Text: Calculus, Early Transcendentals, 6-th edition, James Stewarts, Brooks/Cole 2008. ISBN 0-495-38343-0 (text alone) Student solution manual is recommended. Calculator: TI-83/84 (Plus), Calculators with symbolic differentiation and integration such as TI-89 or TI-92 are not allowed. Other electronic devices such as cellular phone or pager are not allowed to be used during a quiz or test. Course Objective: This course is a semester course designed primarily for those students planning to pursue programs in the engineering, mathematics, computer science, and physical science areas. We will study the differential and integral calculus of one variable. Topics covered are limits, continuity, differentiation of algebraic and trigonometric functions, applications of derivative, definite and indefinite integrals, fundamental theorem of calculus, application of definite integral, analytic geometry and area between curves. Student Learning Outcomes: Given a situation involving an optimization problem, the student will use the situation to set up an optimization problem, using the derivatives to find a solution to the problem, and interpret the solution in the context of the original situation. Grading Policy: (1) Class Attendance & Performance: Attendance is mandatory. Make sure you will come to the class on time and stay for the whole class period. 2 (2) Homework Assignment(10%): Make sure we will finish our homework on time. We have to practice in order to master mathematics. You have to present your work clearly. (3) Quizzes(10%): No make-up quizzes. (4) Tests (60%) : We will have 4 tests. The dates will be announced in class. (5) Comprehensive Final Exam(20%): Monday, December 18, 2008. 12:50 PM to 2:50 PM. Grade: A: 90-100% B: 80-89% C: 70-79% D: 60-69% F: below 60% Math 190: Calculus I (Tentative Schedule) Week 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Dates 8/25-8/27 9/3 9/8-9/10 9/15-9/17 9/22-9/24 9/29-10/1 10/6-10/8 10/13-10/15 10/20-10/22 10/27-10/29 11/3-11/5 11/12 11/17-11/19 11/24-11/26 12/1-12/3 12/8 Topics Actual dates 2.1, 2.2, 2.3, 2.4 2.4, 2.5 2.6, 2.7, 2.8, 2.9 Review, Test 1 3.1, 3.2, 3.3, 3.4 3.5, 3.6, 3.7, 3.8 3.9, 3.10, 3.11, Review Test 2, 4.1, 4.2 4.3, 4.4, 4.5, 4.7 4.8, 4.9, Review Test 3, 5.1, 5.2 5.3, 5.4 5.5, Review, Test 4 Test 4, 6.1 Review Final Exam: Monday, 12:50 PM -2:50 PM Tentative test dates are the following: (These dates may be changed.) Test 1: 9-17-2008 Test 2: 10-13-2008 Test 3: 11-3-2008 Test 4: 11-24-2008 Final Exam: 12-8-2008 Note : Any student with a disability, who believes that he/she may need accommodations in this class, is encouraged to contact the Disabled Student Program and Services as soon as possible to ensure that such accommodations are implemented in a timely manner. The office is located in room S205 and the telephone number is 562.908.3420. Important Dates: 9-3-2008: Last day to add. 9-25-2008: Last day to petition CR/NR; Last day to drop without a W 11-13-2008: Last day to drop semester length classes 3 Math 190: Calculus I Homework Assignment Text book: Calculus: Early Transcendentals, James Stewart 6e ISBN 0-495-38343-0 Review: You should review Chapter 1 on your own. Note: You have to present your work, do not just give the answer. Chapter 2: Limits and Derivatives Section 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 Review Page 87 96 106 117 133 140 150 162 167 Numbers Note 1, 3, 5 4, 5, 7, 12, 15, 17, 19, 21, 24, 25, 27, 29, 31, 34 1, 2, 4, 7, 8, 11, 15, 17, 20, 21, 23, 27, 33, 37, 41, 43, 49 1, 2, 3, 4 3, 4, 7, 10, 13, 15, 17, 31, 33, 37, 43, 47, 49 3, 4, 5, 7, 13, 14, 15-36, 39, 41, 47, 50, 58 3,4,5,9,11, 16, 25, 33, 43 1, 3, 13, 19, 21, 23, 25 All Chapter 3: Differentiation Rules Section 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 3.10 3.11 Review Page 180 187 195 203 213 220 230 239 245 252 259 262 Numbers 3-41(Odd), 51, 54 3-25(Odd), 31, 33, 43, 45 1-17(Odd), 21, 23, 25, 39-47(Odd) 1-45(Odd), 53, 61, 63, 65 1,3,5,9,11,15,19,21,25,45,47,51,61 3-23(Odd), 27,31,33,37,43,47,49 1, 5, 9, 13, 29 1, 6, 9 7, 9, 11, 13, 15, 21, 25, 27 1, 3, 7- 23(Odd), 27 20, 21, 23, 30-47 1-61(Odd),65, 69,70, 71,73,92,106,107 5th edition Section 3.4 Section 3.5 Section 3.6 Section 3.8 Section 3.3 Exp Growth/Decay Section 3.10 Section 3.11 Section 3.9 4 Chapter 4: Applications of Differentiation Section 4.1 4.2 4.3 4.4 4.5 4.7 4.8 4.9 Page 277 285 295 304 323 328 338 345 Review 362 Numbers 3-6, 15, 22, 25, 29, 37, 41, 47, 53, 57, 59 1, 3, 5, 9, 11, 13, 15, 23 1,2,5,11,13,15,17,21,22,2527,33,39,45,47,49,66,75 1, 3, 5, 10, 14, 15, 19, 21, 29, 33, 43, 49, 51, 59, 75 5, 11, 19, 23, 41, 47, 51, 55, 59, 61, 66 9, 10, 14, 17, 19, 25, 69, 71,(53,54,55,57) 5, 7, 11,13, 17, 19 1, 5-17(Odd), 21, 23, 25, 30, 33, 39, 45, 51 5-th edition Sections 4.7 & 4.8 Section 4.9 Section 4.10 1-33(Odd), 35, 47, 61,65, 67 Chapter 5: Integrals Section 5.1 5.2 5.3 5.4 5.5 Review Page 364 376 387 397 406 409 Numbers Date 1, 2, 11, 15, 17, 21 1, 5, 7, 9,17-25(Odd), 33, 35, 41, 42, 45-49(Odd), 53, 3, 4, 5, 7, 9, 15, 23, 25, 27, 51, 59 5, 9, 10, 21, 23, 27, 37, 47, 48, 57, 59 1-43(Odd), 53, 55, 59, 63, 73, 81 1-53(Odd) Chapter 6: 6.1: Areas between Curves Section Page Numbers Date 6.1 420 1, 3, 5, 7, 13,17, 25, 27 Review 446 1-6 Note: Any student with a disability, who believes that he/she may need accommodations in this class, is encouraged to contact the Disabled Student Program and Services as soon as possible to ensure that such accommodations are implemented in a timely manner. The office is located in room S205 and the telephone number is 562.908.3420. 5 Math 190: Calculus I Homework Assignment Text book: Calculus: Early Transcendentals, James Stewart 5e ISBN 0-534-39321-7 Review: You should review Chapter 1 on your own. Note: You have to present your work, do not just give the answer. Chapter 2: Limits and Derivatives Section 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 Review Page 91 102 111 122 133 146 155 163 173 176 Numbers Date 1, 3, 5 4, 5, 7, 12, 13, 15, 19, 22, 23, 25, 27, 29, 31, 32, 34 1, 2, 4, 7, 8, 11, 15, 17, 19, 21, 23, 27, 33, 37, 41, 43, 49 3, 4, 5, 6 3, 4, 7, 10, 13, 15, 17, 31, 33, 37, 43, 47, 49 3, 4, 5, 7, 11, 12, 13-34, 37, 39, 43, 45, 54 5, 6, 9, 12, 19, 27 3, 4, 5, 7, 13, 15, 21, 23, 25, 27 1, 3, 4, 5, 7, 11, 15, 21, 23, 27 All Chapter 3: Differentiation Rules Section 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 3.10 3.11 Review Page 191 197 208 216 224 233 240 249 254 260 267 270 Numbers Date 3-35(Odd), 39, 41, 45, 50, 54 3-25(Odd), 31, 33, 35, 42 1, 9, 22, 29 1-25(Odd), 35-43(Odd) 1-41(Odd), 45, 53, 55, 57 1, 3, 5, 9, 11, 15, 19, 21, 25, 41, 43, 48, 55, 56 1, 5, 7, 15, 19, 23, 27, 29, 35, 49 3-21(Odd), 25, 27, 29, 31, 35, 41, 45, 47 21, 23, 30-41 3-11(Odd), 17, 23 4, 5, 7, 11-31(Odd), 32, 34, 35, 36, 43 All 6 Chapter 4: Applications of Differentiation Section 4.1 4.2 4.3 4.4 4.5 4.7 4.8 4.9 4.10 Review Page 285 295 304 313 323 336 346 351 358 361 Numbers Date 3-6, 15, 22, 27, 31, 39, 43, 47, 53, 57, 59 1, 3, 5, 9, 11, 13, 15, 23 1, 2, 5, 11, 15, 17, 19, 23, 24, 27, 29, 33, 39, 45, 47, 49, 62, 69 1, 3, 5, 10, 14, 15, 19, 21, 27, 31, 41, 47, 49, 57, 73 5, 11, 19, 23, 41, 47, 51, 55, 59, 61, 66 7, 8, 12, 15, 17, 23, 57, 59 5, 7, 9, 11, 15, 18 5, 7, 11, 13, 17, 19 1, 5-13(Odd), 17, 19, 21, 26, 29, 35, 41, 47 All Chapter 5: Integrals Section 5.1 5.2 5.3 5.4 5.5 Review Page 378 390 402 411 420 431 Numbers Date 1, 2, 11, 15, 17, 21 1, 5, 7, 9,17-25(Odd), 33, 35, 41, 42, 45-55(Odd), 59 3, 4, 5, 7, 9, 15, 23, 27, 29, 47, 55 5, 8, 9, 13, 17, 19, 23, 33, 43, 44, 53, 55 1-43(Odd), 51, 53, 57, 69, 73, 79 all Chapter 6: 6.1: Areas between Curves Section Page Numbers Date 6.1 442 1, 3, 5, 7, 13,17, 25, 27, 47