Calculus for science and engineering III (Lecture C)

Fall 2013

Lectures: M-W-F 12:00 PM--12:50 PM Centr 101
Office Hour: M-F 1:00 PM--2:00 PM APM 7230

W 2:00 PM--3:00 PM APM 7230

Discussion sessions information:

C01   T 5:00 PM--5:50 PM   SOLIS 110   Brian Longo   blongoucsd edu
C02   T 6:00 PM--6:50 PM   SOLIS 110   Brian Longo   blongoucsd edu
C03   T 7:00 PM--7:50 PM   SOLIS 110   Brian Longo   blongoucsd edu
C04   T 8:00 PM--8:50 PM   SOLIS 110   Brian Longo   blongoucsd edu
C05   T 5:00 PM--5:50 PM   SEQUO 147   Eric Evert   eevertucsd edu
C06   T 6:00 PM--6:50 PM   SEQUO 147   Eric Evert   eevertucsd edu
C07   T 7:00 PM--7:50 PM   SEQUO 147   Samuel Lind   swlinducsd edu
C08   T 8:00 PM--8:50 PM   SEQUO 147   Samuel Lind   swlinducsd edu

TA's office hours information:

Brian Longo M 10am-12pm APM 6434
Brian Longo     W 10am-12pm     The calc lab
Eric Evert     Th 2pm-3pm     The calc lab
Eric Evert     F 10am-11am     APM 6414
Samuel Lind     T 2pm-3pm     The calc lab
Samuel Lind     T 3pm-4pm     APM 6414

General information     Book     Calendar     Homework     Grade     Regrade     Exams     Assignment
General information

  • Title: Calculus for Science and Engineering.
  • Credit Hours: 4 (2 credits if taken after Math 10C).
  • Prerequisite: AP Calculus BC score of 3, 4, or 5; or, Math 20B with a grade of C- or better.
  • Catalog Description: Vector geometry, vector functions and their derivatives. Partial differentiation. Maxima and minima. Double integration.
Book

  • Jon Rogawski, Calculus: early transcendentals (2nd edition), Published by W.H.Freeman and Company, 2012.
  • If you do not already have the above textbook, the multivariable portion suffices: Multivariable calculus: early transendentals.
  • The Student Solutions Manual (available in the Bookstore) is optional. It has complete solutions for odd-numbered problems in the text.
  • We will cover parts of Chapters 11-15 of the text.
Schedule

This is a tentative schedule for the course. If necessary, it may change.

Homework

  • Homework will be assigned in the assignment section of this page.
  • Homework assignments are due on Wednesdays at 5:00 pm. You should drop your homework assignments in the homework drop-box in the basement of the AP&M building.
  • Late homework is not accepted.
  • There will be 9 problem sets. Your cumulative homework grade will be based on the best 8 of the 9.
  • Selected problems on the each assignment will be graded.
  • Style:
    • A messy and disorganized homework might get no points.
    • The upper right corner of each assignment must include:
      1. Your name (last name first).
      2. Your discussion session (e.g. C01,etc.).
      3. Homework assignment number.
    • Full-sized notebook papers should be used.
    • All pages should be stapled together.
    • Problems should be written in the same order as the assignment list. Omitted problems should still appear in the correct order.
  • A good portion of the exams will be based on the weekly problem sets. So it is extremely important for you to make sure that you understand each one of them.
  • You can work on the problems with your classmates, but you have to write down your own version. Copying from other's solutions is not accepted and is considered cheating.
  • In addition to the discussion section and your TA's and instructor's office hours, you can get help with the homework assignments in the Calculus Tutoring Lab (AP&M B402A).
  • Reading the sections of the textbook corresponding to the assigned homework exercises is considered part of the homework assignment. You are responsible for material in the assigned reading whether or not it is discussed in the lecture.
  • Homework will be returned in the discussion sections.
Grade

  • Your weighted score is the best of
    • Homework 20%+ midterm exam I 20%+ midterm exam II 20%+ Final 40%
    • Homework 20%+ The best of midterm exams 20%+ Final 60%
  • You must pass the final examination in order to pass the course.
  • Your letter grade is determined by your weighted score using the best of the following methods:
    • A+ A A- B+ B B- C+ C C-
      97 93 90 87 83 80 77 73 70
    •  Based on a curve where the median corresponds to the cut-off B-/C+.
  • If more than 90% of the students fill out the CAPE questioner at the end of the quarter, all the students get one additional point towards their weighted score.
Regrade
  • Homework and midterm exams will be returned in the discussion sections.
  • If you wish to have your homework or exam regraded, you must return it immediately to your TA.
  • Regrade requests will not be considered once the homework or exam leaves the room.
  • If you do not retrieve your homework or exam during discussion section, you must arrange to pick it up from your TA within one week after it was returned in order for any regrade request to be considered.
Further information
  • There is no make-up exam.
  • Keep all of your returned homework and exams. If there is any mistake in the recording of your scores, you will need the original assignment in order for us to make a change.
  • No notes, textbooks, calculators and electronic devices are allowed during exams.
  • You must bring a blue book to the exam.
  • Calculus Tutoring Lab: A tutoring lab for Calculus students will generally be open Monday through Friday, 9:00am - 5:00pm in APM B402; There will usually be at least 2 tutors and/or TAs available to help with homework, calculators, and coursework. We strongly recommend that you make use of the Calculus Tutoring Lab.
  • For homework, you may use any handheld graphing calculator. The TI-83 Plus, TI-84 Plus or similar calculators are suitable. More powerful calculators with a built-in CAS, such as a TI-89, should only be purchased if you expect to need it for your future work. Please Note: Calculators will not be allowed on exams.
  • Academic Dishonesty: Academic dishonesty is considered a serious offense at UCSD. Students caught cheating will face an administrative sanction which may include suspension or expulsion from the university. It is in your best interest to maintain your academic integrity.
Exams.

  • The first exam:
    • Topics: All the topics that are discussed in the class and in the book about Sections 12.1-12.5, 11.1 and 13.1-13.3.
    • Questions are fairly similar to the homework assignments and the examples discussed in the class. Make sure that you know how to solve anyone of them.
    • Practice: besides going through your homework assignments, examples presented in the class and problems in the relevant chapters of your book, you can use the following practice exams:
    • You will need a blue book.
    • Here is the first exam.
  • The second exam:
    • Rule 1: You may bring one 8.5 by 11 inch sheet of notes (which may be written on both sides) with you to the final examination.
    • Rule 2: No calculators will be allowed during the final examination.
    • Topics: All the topics that are discussed in the class and in the book about Sections 11.1, 11.2, 12.1-12.5, 13.1-13.3, 13.5, 14.1-14.6 (with an emphasis on Sections 13.5 and 14.1-14.6).
    • Questions are fairly similar to the homework assignments and the examples discussed in the class. Make sure that you know how to solve anyone of them.
    • Practice: besides going through your homework assignments, examples presented in the class and problems in the relevant chapters of your book, you can use the following practice exams:
    • You will need a blue book.
    • Here is the second exam.
  • The final exam:
    • Time: December 12, 11:30am-2:30pm.
    • Location: Center hall 101 if you are not in C01; Center hall 222 if you are in C01.
    • Rule 1: It is your responsibility to ensure that you do not have a schedule conflict involving the final examination. You should not enroll in this class if you cannot sit for the final examination at its scheduled time.
    • Rule 2: You may bring one 8.5 by 11 inch sheet of notes (which may be written on both sides) with you to the final examination.
    • Rule 3: No calculators will be allowed during the final examination.
    • Topics: All the topics that are discussed in the class and in the book. [Triple integral is NOT part of the exam.
    • Questions are fairly similar to the homework assignments and the examples discussed in the class. Make sure that you know how to solve anyone of them.
    • Practice: besides going through your homework assignments, examples presented in the class and problems in the relevant chapters of your book, you can use the following practice exams:
    • You will need a blue book.
    • As it is stated above, in the worst case scenario the median of the weighted scores corresponds to the B-/C+ cut-off.
Lectures
Sometimes I put the summary of the lectures here. These are just the headlines of the topics that we discussed in the class, and you should read your book to understand the covered topics.
  • First week: here is a summary of the first week's lectures.
  • Second week: here is a summary of the second week's lectures.
  • Third week: here is a summary of the third week's lectures.
  • Fourth week: here is a summary of the fourth week's lectures.
  • Fifth week: here is a summary of the fifth week's lectures.
  • Sixth and seventh weeks: here is a summary of the sixth and the seventh weeks's lectures.
  • Eighth, ninth and tenth weeks: here is a summary of the last three weeks's lectures.
Assignments
The list of homework assignments are subject to revision during the quarter. Please check this page regularly for updates. (Do not forget to refresh your page!)
  • Homework 1 (Due October 9)
    • Section 12.1: 6, 25, 38, 39, 42, 56, 58.
    • Section 12.2: 14, 24, 34, 36, 42, 43, 50.

  • Homework 2 (Due October 16)
    • Section 12.3: 15, 24, 29, 48, 52, 53, 60, 61.
    • Section 12.4: 4, 6, 9, 14, 20, 24, 34, 41, 42.
    • Section 12.5: 3, 17, 22, 24, 26, 54.

  • Homework 3 (Due October 23)
    • (Section 11.1 is a reading assignment. And these are optional problems: Section 11.1: 12, 26, 27, 28, 37, 38.)
    • Section 13.1: 6, 16, 21, 22, 34, 36.
    • Section 13.2: 6, 10, 12, 13, 22, 27, 28, 31, 40, 45, 56.

  • Homework 4 (Due October 30)
    • (Section 11.2 is a reading assignment. And these are optional problems: Section 11.2: 1, 6, 7, 18, 19. Skip "Surface Area" (pg 623))
      • (Optional)
    • Section 13.3: 2, 3, 4, 8, 10, 23. Skip "Arc Length Parametrization" (pg 742-743)
    • Section 13.5: 3, 4, 5, 12, 14, 15, 18, 25, 26. Skip "Understanding the Acceleration Vector" (pg 759-762)

  • Homework 5 (Due November 6)
    • Section 14.1: 8, 16, 18, 19, 20, 24, 28, 32.
    • Section 14.2: 4, 8, 14, 18, 24, 26, 28.
    • Section 14.3: 4, 8, 30, 40, 42, 43, 44, 49, 51, 57, 58, 59, 76, 77, 79.

  • Homework 6 (Due November 13)
    • Section 14.4: 3, 4, 5, 8, 10, 11, 13, 16, 18.
    • Section 14.5: 1, 2, 6, 21, 22, 24, 28, 29, 31, 33, 35, 36, 37, 42, 43, 50.

  • Homework 7 (Due November 20)
    • Section 14.6: 2, 4, 10, 12, 13, 16, 21, 27, 28.

  • Homework 8 (Due November 27)
    • Section 14.7: 2, 5, 8, 14, 15, 19, 24, 35, 38, 40. Note: For 5(b), f has FOUR critical points, not three (as is stated)

  • Homework 9 (Due December 4)
    • Section 14.8: 2, 4, 5, 8, 12, 15, 24. Skip "Example 4: Lagrange Multipliers with Multiple Constraints" (pg 851)
    • Section 15.1: 2, 10, 20, 23, 24, 26, 27, 30, 34, 38, 42, 43.

  • Homework 10 (NOT Due)
    • Section 15.2: 1, 4, 8, 10, 12, 18, 24, 30, 31, 38. Note: For 12, the inequality describing the region is |x|+(1/2)|y| < 2.
    • Section 15.4: 1, 3, 7, 9, 17, 21, 23. Skip "Triple Integrals in Cylindrical Coordinates" and "Triple Integrals in Spherical Coordinates" (pg 899-904)
Acknowledgement. I would like to thank the previous instructors of Math 20C for providing their course webpages and exams available for public. The following pages were instrumental in the preparation of the materials of this page: