### MA 205 – COMPLEX ANALYSIS

**Instructor:** Prof. U. K. Anandavardhanan

**Session:** 2019-2020

**Prerequisites:** MA 105

**Course content and structure:**

Deﬁnition and properties of analytic functions.Cauchy-Riemann equations, harmonic functions.Power series and their properties.Elementary functions. Cauchy’s theorem and its applications.Taylor series ans Laurent expansions.Residues and the Cauchy residue formula.Evaluation of improper integrals.Conformal mappings.Inversion of Laplace transforms

**Feedback on lectures:**

The lectures were well-planned and delivered excellently. The content of the course was covered in time. There was the 80% attendance criteria.

**Feedback on tutorials and exams:**

Weekly tutorials were conducted, not much difficult if you follow up the lectures.

2 MCQ quizzes were conducted each of 10 marks and of 30 minutes duration. The quizzes had 5 questions each and were easy. Each question required choosing an answer and its justification.

The endsem was of 30 marks and had 6 questions. Most of the questions were included in the lecture’s slides, so it was fruitful going to lectures.

**Difficulty (on a scale of 1 being very easy to 5 being very hard):** 3

**Textbooks & References:** E. Kreyszig, Advanced engineering mathematics (8th Edition), John Wiley (1999)

**Grading Statistics:**

Grading was lenient:

AA 19 AB 58 AP 1 BB 63 BC 23 CC 10 CD 9 DD 12 FR 9 II 4 Total 208

**Additional comments & what you learnt from the course:** Attend the lectures. Solve the tutorials and problems at the end of slides.

Reviewed by – **Prakhar Diwan** (prakhardiwan2000@gmail.com)