MA1115 Multi Variable Calculus

Vector algebra and calculus, directional derivative, gradient, polar coordinates and parametric equations, functions of several independent variables, limits, continuity, partial derivatives, chain rule, maxima and minima, double and triple integrals, cylindrical and spherical coordinate systems. Taught at the rate of nine hours per week for five weeks.

Prerequisite

MA1114

Lecture Hours

4

Lab Hours

0

Course Learning Outcomes

• Demonstrate the ability to analyze and visualize curves, surfaces, and regions in 2 and 3 dimensions, in Cartesian, polar, cylindrical, and spherical coordinate systems.
• Perform vector operations, determine equations of lines and planes, parametrize 2D & 3D curves.
• Perform calculus operations on vector-valued functions including limits, derivatives, integrals, curvature, and the description of motion in space.
• Perform calculus operations on functions of several variables including limits, partial derivatives, directional derivatives, and multiple integrals.
• Apply the computational and conceptual principles of calculus to solve various scientific problems.