McGill University Department of Mathematics & Statistics Intermediate Calculus MATH 262, Winter 2017 Course Outline Prerequisite: MATH 141, MATH 133 or equivalent. Good familiarity with differentiation and integration of a single variable function, basic operations on vectors (e.g., inner product, exterior product), expressing planes and lines in 3-space and finding eigenvalues and eigenvectors of a matrix is assumed. Restrictions: Open only to students in the Faculty of Engineering. Not open to students who are taking or have taken MATH 151, MATH 152, OR MATH 222. Book: Calculus, a Complete Course, 8 th or any previous edition by Robert A. Adams and Christopher Essex, Pearson Addison-Wesley. Syllabus: 1. 2. 3. 4. 5. 6. Series and power series, including Taylor's theorem. Brief review of vector geometry. Vector functions and curves. Partial differentiation and differential calculus for vector valued functions. Unconstrained and constrained extremal problems. Multiple integrals including surface area and change of variables. This corresponds to chapters 9 thru 14 of the book inclusive. Assessment: 0.15a + 0.2t + 0.65f, where a, t and f are percentage marks for the assignments, midterm tests and final examination respectively. The final examination will be of 3 hours duration. It will contain a multiple choice component. There is no "additional work" option and the grade of incomplete will not be given. Assignments: There will about 5 assignments during the semester delivered on-line using the Webwork system. Mid terms: There will be two midterms, one written, the other multiple choice. Webwork assignment site: http://msr02.math.mcgill.ca/webwork2/MATH262_WINTER2017/ Exam Viewing: The instructor reserves the right to set a specific time or times for the purpose of exam viewing. If such times are set, they will be announced on the course webpage. Note: In the event of extraordinary circumstances beyond the University's control, the content and/or evaluation scheme in this course is subject to change. Note: 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. Academic Integrity: 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).
