Course Outline |
Winter 2016
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. |
| Advanced Calculus for Engineers. - 4286 - MATH 264 - 002 |
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Associated Term: Winter 2016
Downtown Campus Lecture Schedule Type Lecture Instructional Method Topics: Professor: Rustum Choksi Office: Burn 1110 Office Hours: Tuesdays and Thursdays 1:00 - 2:30 PM Email: rchoksi@math.mcgill.ca Prerequisites: Math151, Math152, Math222 and Math260 or Math262 Co-requisite: Math263 You should be comfortable with functions of several variables, partial derivatives, the chain rule, gradients and directional derivatives (Chapter 12 of Adams and Essex) and review of iterated and multiple integrals (Much of Chapter 14 of Adams and Essex). Restrictions: This course is not open to students who have taken Math248 or Math265 and is only open to Engineering students. Tentative schedule (1) Calculus in Several Variables (cf. Adams and Essex): (i) Differential and integral calculus of vector fields including theorems of Gauss, Green and Stokes. Chapters 15 and 16 of Adams and Essex). This consists of core material and will take several weeks. (ii) Two short topics: Differentiating integrals with parameters (Section 13.5 of Adams and Essex) and (Change of variables in multiple integrals (Section 14.6 of Adams and Essex). This will take one or two lectures. (2) Fourier series and Applications to Partial Differential Equations (cf. Chapter 10 and a little of Chapter 11 of Boyce and DiPrima) (i) Introduction to partial differential equations and boundary value problems (ii) Fourier series (iii) The method of separation of variables for solving boundary value problems. myCourses Website: All important class announcements (for both sections), and other information will be periodically posted on the McGill myCourses website: https://mycourses2.mcgill.ca/ If you miss classes, please check the website. Class Notes: I will post on the myCourses website a detailed summary of each lecture, emphasizing the main ideas, concepts and examples that were introduced and discussed. I will also attach any illustration or text I put on the DocCam during the lecture. They are not meant to replace the classes (you have the textbooks if you want to go that route); Rather, they will supplement the classes, allowing you to pay more attention to the material and less to taking complete notes. < br>Tutorials: Starting the second week of classes, there will be weekly tutorials. The names of the TAs will be announced on the website shortly. In these tutorials, the TA will cover Webwork exercises, other examples, and discuss the material introduced in class. You may also use the Math Help Desk, which is open Monday-Friday from 12:00 to 5:00 PM, in Burn 911. WebWorks and Additional Exercises: WebWorks are done online via the link on the course web page. No late assignments are accepted. For the material on Fourier Series and Separation of Variables, the WebWorks choices are not great. Thus I will give you additional problems (with solutions) for you to do. These will not be graded but it is very important you attempt them { you can expect similar questions on the exams. The Midterm: The midterm will be in class - date TBA. You must write the midterm in the section in which you are registered. Final Examination: see exam schedule. No calculators are permitted on the midterm and final examination. Terms and rights (1) In accord with McGill University Charter of Students of Rights, students in this course have the right to submit in English or in French any written work that is to be graded. (2) In the event of extraordinary circumstances beyond the University's control, the content and/or evaluation scheme in this course is subject to change. (3) 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/students/srr/honest/ for more information. Required Readings & Materials: References: The Textbook for this course is Elementary Dierential Equations and Boundary Value Problems (10th edition), by Boyce and DiPrima. I will not follow the book in order, but I'll assign in class relevant sections to read. The textbook should be use for you to see another way of approaching the material. Method of Evaluation: Final grade will be calculated as follows: 40% Quizzes + 60% Final Exam Course URL: Office Hours:
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