You should not consult any solutions manual in preparing your assignments. Additional time will only be given if requested before the due date and if appropriate for the circumstances. Homework may be submitted in class or at my office, but it should be completed by the posted due date. Typical assignments will include some exercises that are to be turned in as well as additional practice problems. Homework: Homework will be posted on the course website and will be due approximately weekly. Singular Sensations - Steve Strogatz in the New York Times Calculus of vector fields curl and divergence of vector fields Green’s Theorem, Stokes’ Theorem, and the Divergence Theorem.Integration over surfaces in R 3 by parameterization - flux integrals, surface area, and applications.Integration over curves in R 2 and R 3 by parameterization work integrals, and applications.Integration over regions in R 2 and R 3 and their applications, using Cartesian, polar, cylindrical, and spherical coordinates.Optimization - unconstrained and constrained.Functions of several variables - limits, continuity, and differentiabilty partial derivatives, gradients, linear approximation, directional derivatives, Chain Rule.Parameterized curves and surfaces in R 2 and R 3 velocity and acceleration vectors tangent vectors arclength.Vectors and vector algebra in R 2 and R 3 dot product, cross product, projection, equations of lines and planes.Mega-List of Math 18.02 techniques Math 18.02 Useful FactsĬondensed Syllabus: (See the Calendar for day-by-day details and assignments, updated as the course proceeds.) Arthur Mattuck of the MIT Mathematics Department. Supplementary Notes: 18.02 Notes authored by Prof. Text: Multivariable Calculus, 6th Edition by Edwards & Penney (ISBN 0130339679 for softcover edition). Mathlet (Java applet) for Curves and Surfaces (may be helpful for P-sets) Office hours: Tues, Thurs 2:00-3:00pm and at other times to be determined Topics and Assignments are posted in the Course Calendar. Robert WintersĪ variant of this course is now offered at the Harvard University Extension School (Math E-21a).Įmail: for Concourse Math 18.02 Printable syllabus (PDF) Any academic program, including any MIT Freshman Learning Community, should aspire to greater things. However, I don't at all miss working an an oppressive environment with an incompetent and vengeful Assistant Director and a Director who values only blind obedience and who would gladly throw under the bus anyone whose independence in any way threatened her personal insecurities. I miss the students more than I can put into words. I treasure all of my relationships with students built up over 9 years working in Concourse as well as the absolute joy of sharing an office for most of my time there with a truly wonderful teacher of Chemistry and mentor of students. That said, you could probably randomly pick 50 MIT freshmen and make it work as long as good teachers were in the program who actively engaged students. Those who teach in Concourse actually have very little say in how the program operates, and the program has largely been on auto-pilot for some time. Those of us who were simply very good at teaching our courses (and greatly appreciated by our students) and who did our best to actually integrate science and the humanities or, in my case, civic responsibility, have never been valued by the directors of the program. Themes like justice and truth and knowledge are presented to its students, but what has come to define Concourse are the need for control and enforcing obedience and taking care of the selfish needs of the administrators of the program. The Concourse Program, in contrast, is built on a foundation of hypocrisy. The students of Concourse are much the same as virtually all MIT students - curious, smart, and a pleasure to know. Concourse has sold that false bill of goods simply to justify its continued existence as an MIT Freshman Learning Community. I imagine that some version of the course will continue within the remnants of the Concourse Program, a program that billed itself as "integrating science and the humanities" but which made no effort to actually do so for at least the last 8 years. CC.1802) that ran for 9 years from Fall 2011 through Fall 2019. This is the site of the Concourse 18.02 course (a.k.a. 12 - Vectors, Curves, and Surfaces in Space Multivariable Calculus, 6th Edition by Edwards & Penney (ISBN 0130339679 for softcover edition) Concourse Math 18.02 - Multivariable Calculus - Fall 2019
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