MATH 262: Intermediate Calculus. Fall 2014


COURSE PAGE:
http://www.math.mcgill.ca/jakobson/courses/math262.html
This page is under construction
INSTRUCTORS:
  • D. Jakobson (course coordinator)
    Office: McGill, Burnside Hall, 1220
    Office Hours: Tuesday, 11:30-12:30; Wednesday, 9:20-10:20; or by appointment
    Tel: 398-3828
    E-mail: jakobson AT math.mcgill.ca
  • N. Sancho
    Office: McGill, Burnside Hall, 1130
    Office Hours: Friday, 14:30 - 16:00
    Tel: 398-3823
    E-mail: sancho AT math.mcgill.ca
  • Y. Xu
    Office: McGill, Burnside Hall, 1248
    Office Hours: Wednesday, 9:20-11:20 a.m.; or by appointment
    Tel: 398-2998
    E-mail: yiyan.xu AT mail.mcgill.ca

  • LECTURES:
  • MWF 10:35-11:25, McConnell 304, Jakobson
  • MWF 11:35-12:25, McConnell 204, Xu
  • MWF 13:35-14:25, McDonald Harrington G-10, Sancho
  • Lectures start Wednesday, September 3, 2014.
  • The last lectures will be held on Dec. 4, same time and room.

  • DISCUSSION LEADERS:
  • F. Ozbek
  • C. Hong
  • O. Shu
  • J. Chan
  • V. Fang
  • R. Berrada
  • TUTORIALS:
  • Please, note that there will be no tutorials during the first week of classes.
  • Wed, 8:35 - 9:25, Strathcona Anatomy and dentistry 1/12. R. Berrada.
  • Mon, 16:35 - 17:25, Wong bldg 1020; same time and room on Dec. 4. V. Fang.
  • Fri, 12:35 - 13:25, Strathcona Anatomy and dentistry 1/12. C. Hong.
  • Mon, 12:35 - 13:25, Macdonald Engineering Building 279; same time and room on Dec. 4. J. Chan.
  • Fri, 12:35 - 13:25; Strathcona Anatomy and Dentistry 2/36 (Sep 2 - Oct 30), Leacock Building 232 (Oct 31), Strathcona Anatomy and Dentistry 2/36 (Nov 01 - Dec 04). O. Shu.
  • Fri, 14:35 - 15:25; Macdonald Engineering Building 280. F. Ozbek.

  • COURSE DESCRIPTION:
  • Series and power series, including Taylor's theorem (Adams, Chapter 9; tentatively 10 lectures).
  • Brief review of vector geometry (Adams, Chapter 10; tentatively 4 lectures).
  • Vector functions and curves (Adams, Chapter 11; tentatively 4 lectures).
  • Partial differentiation and differential calculus for vector valued functions (Adams, Chapter 12; tentatively 6 lectures).
  • Unconstrained and constrained extremal problems (Adams, Chapter 13; tentatively 5 lectures).
  • Multiple integrals including surface area and change of variables (Adams, Chapter 14; tentatively 10 lectures).
  • The exact number of lectures is approximate and may vary slightly for different sections of the course.

  • Textbook:
    Robert Adams, Christopher Essex: Calculus, a complete course, 8th ed., Pearson.
    Material covered in the lectures:
  • Wednesday, September 24: In the 10:30-11:30 section we shall finish Chapter 9.

  • Midterm:
  • There will be a midterm, covering the material in Chapters 9, 10 and 11 of Adams/Essex.
  • It will be held in the evening on November 6, 18:15-20:15, in Stewart Biology building, Rooms S113, S114, N212 and S313.
  • The midterm will cover the following material from Adams:
  • Chapter 9, sections 1, 2, 3, 4, 5, 6, 7, 8 (multinomial theorem is not covered).
  • Chapter 10, sections 2, 3, 4. Sections 5 and 6 will not be covered on the midterm, but will be useful later on in Chapters 13 and 14.
  • Chapter 11, sections 1, 3, 4, 5 (up to and including page 652).
  • Practice midterm: pdf. Solutions.
  • Midterm solutions have been posted in MyCourses.
  • For those who cannot take the midterm on November 7, because of time conflict with another class or because of a trip/conference required for your study program only there will be a make-up midterm on November, 17, see below. The material covered on that exam will be similar to the material on the regular midterm.
  • The make-up midterm will be held on Monday, November 17, 18:15-20:15, Burnside 920.

  • Final:
  • There will be a three-hour final exam. Time: December 17, 14:00-17:00. Room to be announced
  • The following material beyond the midterm will be covered on the final:
  • Chapter 12: sections 1, 2, 3, 4, 5, 6, 7, 8; Hessian in chapter 9.
  • Chapter 13: sections 1, 2, 3.
  • Chapter 14: sections 1, 2, 3, 4, 5, 6, 7 (surface area and center of mass).
  • Practice final with solutions has been posted on mycourses.

  • Grading scheme:
    Your final mark will be the largest of the following: [10% Webwork + 10% Written Assignments + 30% Midterm + 50% Final]; OR [10% Webwork + 10% Written Assignments + 80% Final].


    Assignments:
  • The course will include 4 written and 4 webwork assignments.
  • Webwork
  • Webwork Assignment 1 has been posted. Please, do any 30 problems (out of 32 problems). It is due September 29.
  • Written assignment 1. Due September 29. Problem 4 has been corrected on Tuesday, September 23.
  • Solutions to written assignment 1.
  • Webwork assignment 2 has been posted. Please, do any 20 problems. The due date is October 22. Extra questions will be credited as bonus points.
  • Written assignment 2. The due date is October 22. Extra questions will be credited as bonus points.
  • Solutions to written assignment 2.
  • There will be two webwork assignments and two written assignments before the midterm. They will cover the material in Adams, Chapters 9, 10 and 11.
  • Written assignment 3, due November 14. Extra questions will be credited as bonus points.
  • Webwork set 3 has been posted. Please, do any 25 questions. Due November 14. Extra questions will be credited as bonus points.
  • Webwork set 4 has been posted, due on December 3. Please, do any 25 problems.
  • Written assignment 4 has been posted, due December 3.

  • Web Links in Algebra, Analysis, Geometry and Differential Equations (some links may be out of date, will correct over the next few days).
    NOTICE: McGill University values academic integrity. Therefore, all students must understand the meaning and consequences of cheating, plagiarism and other academic offences under the Code of Student Conduct and Disciplinary Procedures (see McGill web page on Academic Integrity for more information).
    NOTICE: In accord with McGill University's Charter of Student Rights, students in this course have the right to submit in English or in French any work that is to be graded.
    NOTICE: In the event of extraordinary circumstances beyond the University's control, the content and/or evaluation scheme in this course is subject to change.