MMT-005 · IGNOU MSc MACS Semester 1 · 2 credits
Complex Analysis
Analytic functions and applications of analytic functions.
MMT-005 important topics
The eGyanKosh units IGNOU has examined most, from 8 past papers. Matched automatically from question wording.
- Block 1, Unit 6: Power Series ↗Asked almost every time: in 6 of 8 papers
- Block 2, Unit 7: Residues and Poles ↗Asked sometimes: in 2 of 8 papers
- Block 1, Unit 4: Complex Integration-I ↗Asked sometimes: in 2 of 8 papers
- Block 1, Unit 5: Complex Integration-II ↗Asked sometimes: in 1 of 8 papers
- Block 2, Unit 10: Applications of Harmonic Functions and Conformal Mapping of Physical Problems ↗Asked sometimes: in 1 of 8 papers
MMT-005 assignment
The latest MMT-005 assignment is valid for the January 2026 & July 2026 sessions. It carries 100 marks and 30% of your final grade. Due 31 Mar 2026 for the January 2026 session or 30 Sept 2026 for the July 2026 session.
MMT-005 previous-year question papers
Official term-end exam papers for Complex Analysis, published by IGNOU. Each one opens on IGNOU’s website.
- June 2024MMT-005 term-end exam, official PDF
- December 2023MMT-005 term-end exam, official PDF
- June 2023MMT-005 term-end exam, official PDF
- December 2022MMT-005 term-end exam, official PDF
- June 2022MMT-005 term-end exam, official PDF
- December 2021MMT-005 term-end exam, official PDF
- June 2021MMT-005 term-end exam, official PDF
- December 2020MMT-005 term-end exam, official PDF
Important Complex Analysis questions
8 questions have come in more than one MMT-005 exam. They are listed first. The text is taken from IGNOU’s official papers, so open the paper for figures and exact wording.
State, giving reasons whether the following statements are True or False: 0z = is a pole of 1/ ze.
State, giving reasons whether the following statements are True or False: C ze dz ≤∫ 2 eπ, where C is the unit circle.
State, giving reasons whether the following statements are True or False: () = Refz z is analytic everywhere.
Determine an analytic function f(z) whose real part is U(x, y) = y2 – x2.
State, giving reasons whether the following statements are True or False: The radius of convergence of any power series is positive.
State, giving reasons whether the following statements are True or False: () 0 2 ndz z ≠ −∫ for all 2n ≥ along the circle 2zr−=.
Find the harmonic conjugate of the function u(x, y) = x 3 – 3 xy 2.
Determine analytic function whose real part is cos x cosh y.
State giving reasons whether the following statements are True or False: There exists a nonconstant analytic function f (z) in a domain D such that Im (f) is constant.
Show that a Mobius transformation which has three fixed points must be an identity map.
Find all the solutions of the equations 2 ez = – 2.
Show that the zeroes of an analytic function are isolated.
Complex Analysis study material
IGNOU publishes the full MMT-005 self-learning material free on eGyanKosh: every block and unit on analytic functions and applications of analytic functions.
Open MMT-005 on eGyanKosh ↗Get ready for the MMT-005 exam
Practise the questions IGNOU asks again and again, tick off your assignment, and count down to exam day. Free, and no sign-up.
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