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Winter 2015
Nov 03, 2025
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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 Academic Integrity for more information).

L'université McGill attache une haute importance à l’honnêteté académique. Il incombe par conséquent à tous les étudiants de comprendre ce que l'on entend par tricherie, plagiat et autres infractions académiques, ainsi que les conséquences que peuvent avoir de telles actions, selon le Code de conduite de l'étudiant et des procédures disciplinaires (pour de plus amples renseignements, veuillez consulter le site Academic Integrity.

Syllabus Information
Calculus 3. - 596 - MATH 222 - 001

Associated Term: Winter 2015
Downtown Campus
Lecture Schedule Type
Lecture Instructional Method

Topics:

Instructor: Dr. Gantumur Tsogtgerel
Office: Burnside Hall 1123
Office hours:
Email: gantumur.tsogtgerel@mcgill.ca
Phone: (514) 398-2510


Prerequisite: MATH 141 (Calculus 2)
Corequisite: MATH 133 (Linear algebra and geometry)
Corequisite substitute: Familiarity with vector geometry

Restriction: Not open to students who have taken CEGEP course 201-303 or MATH 150, MATH 151 or MATH 227


Calendar description: Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of two or three variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
  • Sequences and series, Taylor's theorem
  • Parametric curves and multivariate functions
  • Directional and partial derivatives
  • Extrema of multivariate functions, Lagrange multipliers
  • Multiple integrals, curvilinear coordinate systems

    Midterm: Before the study break, in class

    Exams and Homework Assignments: There will be a midterm exam and a final exam. We will have at least one written homework assignment, and the rest of the assignments will be on WeBWorK. All homework assignments will count towards the final grade. Late homework will not be accepted.

    McGill policies and disclaimers

    In accord with McGill University's Charter of Students' Rights, students in this course have the right to submit in English or in French any written work that is to be graded.

    In the event of extraordinary circumstances beyond the University's control, the content and/or evaluation scheme in this course is subject to change.

    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 www.mcgill.ca/integrity for more information). Additional policies governing academic issues which affect students can be found at www.mcgill.ca/secretariat/policies/students.


    Required Readings & Materials: Please choose one of the following options.
  • Any edition of any of the calculus texts by James Stewart, so long as it contains the multivariate calculus and sequences/series chapters. For example, James Stewart, Calculus: Early transcendentals, or James Stewart, Multivariate calculus: Early transcendentals will do.
  • An alternative is David Massey, Worldwide multivariable calculus, although this book does not cover sequences and series, which is a small but important part of our course. This can be remedied by using the textbook Worldwide integral calculus by the same author, or relying on any of the online resources suggested below.

    Online resources
  • Paul's online math notes
  • Calculus textbooks by David Guichard
  • Calculus textbook by Gilbert Strang
  • Calculus textbooks by Jerrold Marsden and Alan Weinstein
  • Vector calculus textbook by Michael Corral

    Method of Evaluation:

    Webwork 15% + Written assignment 15% + Midterm 15% + Final 55%


    Course URL: click

    Office Hours:
    Time Days Where Contact Dates

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