BS (Mathematics) 3rd Semester
This is the third course of calculus and builds up on the concepts learned in the first two courses. Calculus 3, also called Multi-variable Calculus or Multivariate expands upon your knowledge of single-variable calculus and applies it to the 3D world. In other words, we will be exploring functions of two variables which are described in the three-dimensional coordinate systems. Most importantly, Calc 3 encompasses limits, derivatives, and integrals so all of these concepts that you previously learned in Calculus 1 and Calculus 2. First, we will begin by learning about vectors and the geometry of space, which deals with writing equations of lines and planes, operations with vectors, and quadric surfaces. We will learn how to differentiate and anti-differentiate vector functions and discover how they describe motion in space – velocity and acceleration. We will show how to find Partial Derivatives, Gradient Vectors, Directional Derivatives. Additionally, we will determine how to evaluate limits of multi-variable functions, as well as finding extrema (maximums and minimums) of various surfaces. We will learn how to evaluate multiple integrals to find area, volume, and work done by a force field or the rate of fluid flow across a surface.
- Teacher: Dawood Khan