- Course Description
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.
- Course Objectives
At the conclusion of the course, students shoul 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.
- Teachnig Method
Mainly classes will be held by lecture, discussion, problem solving time in parallel.
- Textbook
- Assessment
- Requiments
Vector Calculus I
- Practical application of the course
Vector calculus is the primary mathematical language used in many branches of physics, engineering and science, with applications that inculde 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.
- Reference