MA1115 Multi Variable Calculus

This course is a review of vector algebra and calculus, functions of several independent variables, limits, continuity, partial derivatives, directional derivative, gradient, 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

1

Course Learning Outcomes

• Perform basic vector operations (addition, multiplication by scalar, dot product and cross product) and utilize them in geometric and physical applications.

• Find equations of lines, planes, and quadric surfaces in three-dimensional space.
• Parametrize curves in two and three dimensions.
• Compute limits, derivatives, integrals, and curvature of vector-valued functions to describe motion in space.
• Visualize and analyze curves, surfaces, and regions using Cartesian, polar, cylindrical, and spherical coordinate systems.
• Apply partial differentiation to solve optimization problems, including unconstrained extrema and Lagrange multipliers.
• Evaluate double and triple integrals using various coordinate systems to compute area, volume, and mass.