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MATH2160/M21B Analysis and Mathematical Methods II

Course Name: 
Analysis and Mathematical Methods II
Course Code: 
MATH2160/M21B
Course Credits: 
4 Credits
Level: 
II
Prerequisites: 
MATH1140/M10A, MATH1150/M10B
Course Description: 

Ordinary linear differential equations: existence and uniqueness theorems (no proofs), Wronskians; solution in series for first and second order non-singular and regular singular equations; methods of Frobenius.

Fourier series: two-dimensional separable linear partial differential equations; solutions by separation of variables and Fourier series.

Functions of a single complex variable: continuity, differentiability, Cauchy-Riemann equations; analyticity, power series; Cauchy's Theorem and applications to evaluation of integrals.

Assessment: 
One 2-hour written paper 80% One in-course test 20%
Categoryofcourses: 
Semester: 
II
coursedegree: 
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