VECTOR CALCULUS II(LECTURE IN ENGLISH)

This course extends the basic ideas of calculus to the context of functions of several variables and vector-valued functions. Topics include partial derivatives, tangent planes, and Lagrange multipliers. The study of curves in two- and three-space will focus on curvature, torsion, and the TNB-frame. Topics in vector analysis include multiple integrals, vector fields, Green’s Theorem, the Divergence Theorem and Stokes’ Theorem. Additionally, the course may cover the basics of differential equations.

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.

Attendance is mandatory. Refer to ATTENDANCE.pdf for more information on the ATTENDANCE portion of your grade. Every student should submit homeworks, and take exams. Participation during class time will be checked. Please write [Vector Calculus II] in the subject of any emails you send to me.

Vector Calculus I

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.