Syllabus: The information contained in the following syllabus is subject to change.
- Textbook: James Stewart, ``Calculus (Fifth Edition)'', Thomson 2003.
- Class Notes: Page 1, Page 2, Page 3, Page 4, Page 5, Page 6, Page 7, Page 8, Page 9, Page 10, Page 11, Page 12, Page 13, Page 14, Page 15, Page 16, Page 17, Page 18, Page 19, Page 20, Page 21, Page 22, Page 23, Page 24, Page 25, Page 26, Page 27, Page 28, Page 29, Page 30, Page 31, Page 32, Page 33, Page 34, Page 35, Page 36, Page 37
- Homework Assignments and Mock Exams:
- Section 1.2 (Mon Jun 25): #1, #2, #3, #4, #5, #6, #7.
- Section 1.3 (Mon Jun 25): #1, #3, #5, #7, #9, #11, #13, #15, #17, #19, #21, #23, #27, #29, #31, #33, #35, #37, #39, #41, #43, #45, #47, #49, #51, #53, #55, #63, #64.
- Section 2.1 (Wed Jun 27): #1, #3, #5, #7, #9.
- Section 2.2 (Wed Jun 27): #1, #2, #3, #4, #5, #6, #7, #9, #11, #13, #23, #24, #25, #27, #29, #31, #38.
- Section 2.3 (Thu Jul 5): #1, #2, #3, #5, #7, #8, #9, #10, #11, #13, #15, #17, #19, #20, #21, #23, #25, #27, #29, #35, #37, #39, #41, #43, #44, #45, #47, #48, #49, #51, #52, #53, #54, #55, #56, #57, #58, #59, #60.
- Section 2.4 (Wed Jun 27): #1, #3, #5, #15, #17, #19, #21, #23, #25, #27, #29, #31, #33, #37, #39, #41, #43, #44. The green numbers are problems only for math majors and advanced students, and will not be given in quizzes or exams. Try them if you have enough time and are interested in the precise definitions of limits. Solving them makes the notion of limits clear to you. Especially, if you are planning to become a math major, it is recommended to try them.
- Section 2.5 (Thu Jul 5): #1, #2, #3, #4, #5, #6, #7, #9, #11, #13, #15, #17, #19, #21, #23, #25, #27, #29, #30, #31, #32, #33, #35, #37, #38, #39, #41, #42, #43, #44, #45, #47, #49, #52, #53, #54, #55, #56, #57, #58, #59, #60, #61.
- Section 2.6 (Thu Jul 5): #1, #2, #3, #5, #7, #9, #11, #13, #15, #17, #19.
- True-False Quiz of Chapter 2 (p.122) (Thu Jul 5): #1, #2, #3, #4, #5, #6, #7, #8, #9, #10, #11, #12, #13, #14.
- Section 3.1 (Thu Jul 5): #1, #2, #3, #4, #5, #7, #9, #10, #13, #15, #17, #19, #21, #23, #25, #27, #31, #35, #36.
- Section 3.2 (Thu Jul 5): #1, #4, #7, #13, #15, #19, #21, #23, #25, #27, #29, #31, #35, #39, #41, #43, #44, #45.
- Section 3.3 (Thu Jul 5): #1, #3, #5, #7, #9, #11, #13, #15, #17, #19, #21, #22, #23, #25, #27, #29, #31, #33, #35, #37, #39, #41, #43, #45, #47, #51, #53, #55, #56, #57, #59, #61, #64, #65, #67, #69, #70, #71, #72, #73, #74, #75, #77, #79, #80, #81, #82, #83, #84, #85, #86, #87, #88.
- Section 3.4 (Thu Jul 5): #1, #3, #5, #7, #9, #15, #19, #21, #25, #26, #28, #31, #33, #35.
- Section 3.5 (Thu Jul 5): #1, #3, #5, #7, #9, #11, #13, #15, #21, #23, #29, #31, #33, #35, #37, #39, #41, #43, #45, #46, #47.
- Section 3.6 (Mon Jul 9): #1, #3, #5, #7, #9, #11, #13, #15, #17, #19, #21, #23, #25, #27, #29, #31, #33, #35, #37, #39, #41, #43, #45, #51, #53, #55, #57, #61, #63, #65, #66, #71, #72, #73, #74, #75, #76, #77.
- Section 3.7 (Mon Jul 9): #1, #3, #5, #7, #9, #11, #13, #15, #17, #19, #21, #23, #25, #27, #29, #35, #36, #37, #38, #39, #41, #45, #47, #49, #51, #53.
- Section 3.8 (Mon Jul 9): #1, #3, #5, #7, #9, #11, #13, #15, #17, #19, #21, #23, #25, #27, #29, #31, #33, #35, #37, #39, #41, #43, #45, #47, #49, #51, #52, #53, #55, #57, #59, #61, #63, #64, #65, #66.
- Section 3.9 (Mon Jul 9): #1, #3, #5, #8, #11, #15, #21, #23, #27, #28, #29, #31, #33, #37.
- Section 3.10 (Mon Jul 9): #5, #7, #9, #11, #13, #15, #17, #19, #21, #23, #25, #27, #29, #31, #33, #35, #37, #38, #39, #44, #45, #46, #47.
- True-False Quiz of Chapter 3 (pp.213-214) (Mon Jul 9): ALL PROBLEMS.
- MIDTERM EVALUATION is now activated. This is to reflect students' opinions on class before the session ends. For participation 5 points will be credited to your course grade. This is handled by Teaching, Learning & Technology Center, and your answer is totally anonymous, and there is no way for the instructor to connect your answer with your name. So please answer honestly. Please log in to MyEEE with your UCInetID and UCInetID password, and click the ``Evaluate'' link associated with this course, and complete by Monday, July 16, 2007 at 11pm.
109 out of 124 students participated.
- Mock Midterm Exam (Tue Jul 10) (pdf file) dvi file ps file (The Midterm Exam will cover Chapters 1, 2, and 3.)
- Section 4.1 (Thu Jul 12): #1, #2, #3, #4, #5, #6, #7, #8, #9, #10, #11, #12, #13, #14, #15, #17, #19, #21, #23, #25, #27, #29, #31, #33, #35, #37, #39, #41, #43, #45, #47, #49, #51, #53, #55, #57, #58, #59, #61, #64, #68, #69, #70, #71, #72.
- Section 4.2 (Thu Jul 12): #1, #3, #5, #7, #8, #11, #13, #15, #17, #19, #21, #22, #23, #24, #25, #26, #27, #28, #29, #30, #31, #32, #33, #34.
- Section 4.3 (Wed Aug 31): #1, #2, #3, #4, #5, #6, #7, #8, #9, #10, #11, #13, #15, #17, #19, #20, #21, #23, #25, #27, #28, #29, #31, #33, #35, #37, #39, #41, #42, #43, #44, #47, #48, #49, #50, #51, #52, #53, #54, #55, #56, #57, #58, #59, #60, #61, #62.
- Section 4.4 (Mon Sep 5): #1, #2, #3, #4, #7, #9, #11, #13, #15, #17, #19, #21, #23, #25, #27, #29, #31, #33, #35, #37, #39, #41, #43, #45, #47, #49, #51, #53, #55, #56, #57, #58, #59, #65, #66, #67, #68, #69, #70.
- Section 4.5 (Thu Jul 26): #1, #3, #5, #7, #9, #11, #13, #15, #17, #19, #21, #23, #25, #27, #29, #31, #33, #35, #37, #39, #41, #42, #43, #45, #47, #49, #51, #53, #55, #56, #57, #58.
- Section 4.7 (Thu Jul 26): #11, #14, #15, #20, #28, #31, #43, #44, #51, #57.
- Section 4.8 (Thu Jul 26): #1, #2, #3, #4, #5, #9, #12, #15, #19.
- Section 4.9 (Thu Jul 26): #1, #2, #3, #4, #5, #7, #28, #29, #31, #32.
- Section 4.10 (Thu Jul 26): #1, #3, #5, #7, #9, #11, #13, #15, #17, #19, #21, #23, #25, #27, #29, #31, #33, #35, #37, #39, #40, #41, #42, #43, #47, #48, #53, #55, #57, #59, #60, #61, #63, #65, #67, #69, #71, #73.
- Concept Check of Chapter 4 (p.308) (Thu Jul 26): ALL PROBLEMS.
- True-False Quiz of Chapter 4 (p.308) (Thu Jul 26): ALL PROBLEMS.
- Mock Final Exam (Thu Jul 26) (pdf file) dvi file ps file (The points for #2 and #3 will be high.)
- Notices:
- Be very quiet and polite in the classroom. A rowdy/rude student will be dropped and reported to the Office of the Dean of the School which the student belongs to if the student continues to be rowdy after a second warning. Also exams of rowdy/rude students as well as students suspected of cheating will be graded without generosity, i.e., no partial credit or much much less partial credits than other students will be given for an incomplete answer. This is to protect the other students' rights to study without being disturbed. In Fall 2004 one student has been reported to the Office of the Dean of the Henry Samueli School of Engineering which he belongs to. (cf. Fall 2004) (Thu Jul 5)
- Examination Policy: There will be a midterm exam and a final exam. The midterm exam will be on Monday, July 16, 1:00pm-2:50pm, and the final exam will be on Wednesday, August 1, 1:00pm-2:50pm. Both exams are held in the same rooms used for class meetings during the session, i.e., DBH 1100. All the exams are "closed book" -- no books, notes, calculators, etc. A student must bring a picture I.D. on the date of each exam. There will be no make-up exams for any reasons. However, only students with University-approved excuses will be allowed to take make-up exams only when they submit a legitimate document for a proof. A make-up exams will be much much harder than the regularly scheduled ones, and will be graded out of 70% of the whole points of the regularly scheduled ones. Finally, needless to say, do not attempt cheating. If one stands in the front of the classroom, it is obvious who are looking around and where your eyes are directed to. Usually, I find a few cheating students in each class. If I find cheating, I will check their names, and will grade their exams very very severely, i.e., no partial credit will be given at least for the suspected parts even if not whole exam is voided or I do not say explicitly ``You are cheating!''.
- Grades: Your course grade will be based on your raw scores on Quizzes, WeBWorK, the midterm exam, and the final exam; Quizzes 40, WeBWorK: 66 (prospective); Midterm Exam: 150; Final Exam: 250; Total of 506 (prospective). No quizzes will be dropped. In principle, I do not grade "on the curve". So it is you, and not the instructor, who determine your grade. Everybody could pass, and everybody could get ``A+''. However, there is no negotiation for any reasons about such an unlucky situation as having 439 points which is B+ and 1 point away from A-. SINCE THERE IS NO NEGOTIATION REGARDING YOUR COURSE GRADE, A STUDENT UNDER ACADEMIC PROBATION SHOULD NOT TAKE THIS COURSE UNLESS ONE IS EXTREMELY CONFIDENT WITH THIS SUBJECT. Those students need to get good credits by taking courses in which they are confident of success. Your course grade will be strictly determined by the following table:
| Grades | F | D- | D | D+ | C- | C | C+ | B- | B | B+ | A- | A | A+ | | Less Than | 260 | 280 | 300 | 320 | 340 | 360 | 380 | 400 | 420 | 440 | 460 | 480 | | | Equal to or Greater Than | 0 | 260 | 280 | 300 | 320 | 340 | 360 | 380 | 400 | 420 | 440 | 460 | 480 |
- Schedule of Lectures:
Read the textbook before each lecture.
| Week | # | Date | Note | Section | Topic(s) | | 1 | 1 | Mon Jun 25 | First day of instruction | 1.2; 1.3; 2.1 | Mathematical Models: A Catalog of Essential Functions; New Functions from Old Functions; The Tangent and Velocity Problems | | 2 | Wed Jun 27 | | 2.2; 2.3; 2.4; 2.5 | The Limit of a Function; Calculating Limits of a Function; The Precise Definition of a Limit; Continuity | | 3 | Fri Jun 29 | | 2.6; 3.1; 3.2 | Tangents, Velocities, and Other Rates of Change; Derivatives; The Derivative as a Function | | 2 | 4 | Mon Jul 2 | | 3.3; 3.4; 3.5 | Differentiation Formulas; Rates of Change in the Natural and Social Sciences; Derivatives of Trigonometric Functions | | | Wed Jul 4 | HOLIDAY | | | | 5 | Fri Jul 6 | Last day to enroll without a $100 late fee; Last day to apply for a full refund of course fees -- No refund after | 3.6; 3.7 | The Chain Rule; Implicit Differentiation; Higher Derivatives | | 3 | 6 | Mon Jul 9 | | 3.8; 3.9; 3.10 | Higher Derivatives; Related Rates; Linear Approximations and Differentials | | 7 | Wed Jul 11 | | 4.1; 4.2 | Maximum and Minimum Values; The Mean Value Theorem | | 8 | Fri Jul 13 | Last day to drop or change grade option without instructor's signature | | Review | | 4 | 9 | Mon Jul 16 | | | Midterm Exam, 1:00pm-2:50pm | | 10 | Wed Jul 18 | | 4.3; 4.4 | How Derivatives Affect the Shape of a Graph; Limits at Infinity; Horizontal Asymptotes | | 11 | Fri Jul 20 | Absolute deadline for any course changes with instructor's signature | 4.5; 4.7 | Summary of Curve Sketching; Optimization Problems | | 5 | 12 | Mon Jul 23 | | 4.8; 4.9 | Applications to Business and Economics; Newton's Method | | 13 | Wed Jul 25 | | 4.10; 5.1 | Antiderivatives; Areas and Distances | | 14 | Fri Jul 27 | | 5.2; 5.3 | The Definite Integral; The Fundamental Theorem of Calculus | | 6 | 15 | Mon Jul 30 | | | Review | | 16 | Wed Aug 1 | | | Final Exam, 1:00pm-2:50pm | | 7 | | Thu Aug 9 | grades available | | |
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