Course Outline |
Winter 2016
Dec 17, 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. - 604 - MATH 314 - 001 |
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Associated Term: Winter 2016
Downtown Campus Lecture Schedule Type Lecture Instructional Method Topics: Instructor: Charles Roth Office: Burnside Hall, Room 1227 Telephone: 514-398-3839 E-Mail: roth@math.mcgill.ca Office Hours: TBA 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. Gamma and beta functions. 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. IV. Introduction to Partial Differential Equations: Use of the divergence theorem to derive partial differential equations in fluid flow and the diffusion of heat. Uniqueness theorems. Fourier series and their use in solving simple boundary value problems involving the diffusion, wave and Laplace’s equation. V. Differential Calculus of Functions of Several Variables: Implicit differentiation and the implicit function theorem. Leibinz’s rule of differentiating integrals, as time permits. Midterm Exam: The midterm exam will take place on Thursday March 10 from 6 p.m. to 9 p.m. in ADAMS AUD The url for Webwork is: http://msr02.math.mcgill.ca/webwork2/MATH314_WINTER2016/ HOW to assure your success in MATH 314 1. Be willing and able to attend lectures regularly. 2. Have a strong background knowledge of Calculus I, II and III. 3. Love mathematics. 4. Like applications particularly to physics. 5. Be willing to work consistently, persistently with enthusiasm on this course. 6. Enjoy the challenge and experience of working on problems, relishing the satisfaction of solving them, but not being unduly disappointed if you are occasionally stuck. Detailed solutions will be given to all the problems. Right to submit in English or French: 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: Texts 1. Calculus of Several Variables by R.A. Adams (Eighth edition, Pearson) 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% Written Assignments 12% + Webwork Assigments 3% + Midterm Exam 25% + Final Exam 60% whichever yields the higher mark Course URL: Office Hours:
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