How to study Calculus II — Semester III, Pokhara University BECE
What it covers
Advanced calculus for engineers: infinite series, functions of several variables and partial derivatives, multiple integrals, vector calculus, and higher-order differential equations.
Topics worth extra time
- Infinite series and tests of convergence
- Functions of several variables: partial derivatives, Jacobians and extreme values
- Multiple integrals: double and triple integrals and changing the order of integration
- Vector calculus: gradient, divergence and curl; line, surface and volume integrals
- Green’s, Stokes’ and Gauss’ theorems
How to study it
Sketch the region of integration for every multiple-integral problem; it makes setting the limits much easier. Learn the vector theorems through worked examples that verify them, which also builds the calculation skills the exam needs.
In the exam
Show limits of integration and the region clearly, and state which convergence test or theorem you are using. Long calculations benefit from neat, step-by-step working where an examiner can follow and award partial marks.