Building upon the foundation laid in MATH4006-7, which focused on Calculus of functions with a single real variable, Multivariable Calculus (MATH4008-9) delves into the principles and applications of multivariable calculus, particularly in the context of 2- and 3-variable functions. This course serves as a crucial cornerstone for various disciplines in Science and Engineering.

Key topics include
1. Partial Derivatives
2. Continuous and Differentiable Functions in Multivariables
3. Chain Rule and Directional Derivatives:
4. Second Derivative Test and Lagrange Multipliers
5. Double and Triple Integrations
6. Curvilinear Coordinates

In this course, definitions are thoroughly discussed, and key theorems are derived during lectures to foster logical deduction and analytical skills among students. Practical applications of calculus are highlighted to establish a meaningful connection between theoretical concepts and their relevance to various scientific and engineering fields. To enhance students' proficiency in calculus, TA classes are incorporated into the course. Here, students have the opportunity to refine their calculation skills under the guidance of experienced teaching assistants. These sessions aim to reinforce theoretical concepts and provide practical insights into problem-solving techniques.