Course Outline |
Summer 2013
Oct 20, 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. |
| Advanced Calculus. - 126 - MATH 314 - 001 |
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Associated Term: Summer 2013
Downtown Campus Lecture Schedule Type Topics: Instructor: Charles Roth Office: Burnside Hall, Room 1227 Telephone: 514-398-3839 E-Mail: roth@math.mcgill.ca Office Hours: Monday, Tuesday, Wednesday, and Thursday: after class Course Outline: I. Integral Calculus of Functions of Several Variables Jacobians, change of variables in double and triple integrals with particular emphasis to cylindrical and spherical coordinates, surface area and surface integrals, applications of multiple integrals. II. Vector Calculus : Scalar and vector fields, scalar potentials, line integrals, conservative fields, vector operators, vector identities, orthogonal curvilinear coordinates. III. Integral Theorems:: Green, divergences and Stokes theorems, applications to heat flow, electrostatics and fluid flow. Use of the divergence theorem to derive partial differential equations in the diffusion of heat and fluid flow. IV.Differential Calculus of Functions of Several Variables: Review of partial differentiation, implicit functions and implicit differentiation, Jacobians, differentials, approximations, unconstrained and constrained extrema for functions of two or more variables, Leibniz’ rule for differentiating integrals Right to submit in English or French: I 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 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 http://www.mcgill.ca/integrity for more information). Required Readings & Materials: Textbooks: 1. Calculus of Several Variables by R.A. Adams (Fifth edition, Addison-Wesley) or any multivariable calculus text. 2.Advanced Calculus by R.C. Wrede and M. Spiegel (Second edition, Schaum’s) Method of Evaluation: Marking Scheme: Written Assignments 12% + Webwork Assignments 3% + Midterm 30% + Final Exam 55% OR Written Assignments 12% + Webwork Assignments 3% + Midterm 25% + Final Exam 40% Your final grade will be based on the formulas above whicherve yields the higher mark. Course URL: Office Hours:
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