M21A - Analysis and Mathematical Methods I

This course uses the following course codes:

Number of credits: 4

This course has the following prerequisites:

This course has no corequisites.

The assessment for the course is as follows:

This course has coursework assessment.

In course assignments weight: 30%

Final exam: 70%

Convergence of series of real terms
Tests for convergence of positive series Comparison, quotient, ratio, nth root, integral tests Absolute convergence The alternating series test Power series Radius and interval of convergence

Functions of two (or more) real variables
limits, continuity, partial derivatives, differentiability, stationary points language multipliers, Riemann double integral, change of cariables and the Jacobian polar, spherical and cylindrical coordinates, vector calculus, line, surface and volume integrals