Lecture meeting times: Lecture G on MW 2:00-2:50pm in Kendeda 152 and Lecture J on MW 3:30-4:20pm in Paper Tricentennial 109.
Instructor: Sal Barone
Office: Skiles 013 and https://gatech.zoom.us/my/sbarone7
Office hours: TBD (and by appointment, email me) - all office hours are in-person.
email: sbarone at math.gatech.edu
Annotated Lecture Notes from my Summer '25 Math 2551 class
Week 1 - 3D coordinate systems, cross product, lines and planes, cylinders and quadratic surfaces, curves and tangents, integrals of vector functions, tangents
Week 2 - arc length, curvature, normal vectors, functions of several variables, limits and continuity in higher dimensions
Week 3 - Exam 1, partial derivatives, the chain rule
Week 5 and 6 - double and iterated integrals over rectangles, double integrals over general regions, area by double integrals, double integrals in polar form, Exam 2
Week 7 - triple integrals in rectangular coordinates, applications, triple integrals in cylindrical and spherical coordinates, substitution in multiple integrals
Week 8 - line integrals of scalar functions, vector fields, work, circulation, and flux, path independence, conservative fields, and potential functions
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