Class Hours: W 12:30-~14:20, F 15:00~16:50 (Fall, 2014)
Class room: 건7325
Office hour: TBA
Outline: This course continues from Vector Calculus I. In the second semester we continue studies of differential operators on vector fields, multiple integral, line integrals and the general change of variables formula, along with the Jacobi matrix. The course also cover the integral theorem's of Gauss, Green and Stokes.
Course Objective: At the conclusion of the course, students should know how to compute the multiple integrals, line integrals, and surface integrals. Also students understand Green's Theorem, Stoke's Theorem, Gauss' Theorem, and how these are used in computations and applications.
Class Rules: Classes will be held by lecture, discussion, problem solving in parallel.
Textbook: Vector Calculus, 5th Edition, by Marsden/Tromba
Evaluation and Grades: Mid term exam (40%)+Final exam (40%) +Quiz, Attendance (10%)+Homework (10%)=100%
Prerequisite: Vector Calculus I
Practical Uses of Course: Vector calculus is the primary mathematical language used in many branches of physics, engineering and science, with applications that include dynamics, fluid mechanics, electromagnetism and the study of curves and surfaces. As students learn that the gradient is the direction of steepest ascent, divergence relates to the source density and curl can be interpreted as the rotation or circulation density, this will allow more realistic simulations and game play to be developed.
Other materials: Lecture notes, sample tests, solutions of Homework, etc. will be provided in this page.
Lecture Notes