Harmonic Functions and Orthogonal Trajectories
Curriculum and historical examination lineage for Harmonic Functions and Orthogonal Trajectories under Unit 4 (Analytic Functions) of Advanced Calculus and Complex Analysis (21MAB102T) at SRMIST.
Historical appearance distribution across SRMIST Formative Tests (CT1, CT2) and University End Semester examinations.
Factual marks weightage of questions asked on this topic in historical examinations.
Question templates that recur across multiple examination cycles with similar conceptual stems.
“\text{Find the bilinear transformation which maps the points } z = 0, z = 1 \text{ and } z = \infty...”
“31b. \text{Find the analytic function } w = u + iv \text{ where } u = e^x(x \sin y + y \cos y)...”
“Real and imaginary parts of an analytic functions are (A) holomorphic functions (B) harmonic...”
“Verify whether the function \frac{1}{2} \log(x^2 + y^2) is harmonic. Find the harmonic conjugate....”
Representative historical questions extracted directly from SRMIST examination papers.
\text{Find the bilinear transformation which maps the points } z = 0, z = 1 \text{ and } z = \infty \text{ into the point } w = i, w = 1 \text{ and } w = -1. --- OR --- 31b....
31b. \text{Find the analytic function } w = u + iv \text{ where } u = e^x(x \sin y + y \cos y) \text{ and hence find the harmonic conjugate } v.
Real and imaginary parts of an analytic functions are (A) holomorphic functions (B) harmonic functions (C) convex functions (D) concave functions
Verify whether the function \frac{1}{2} \log(x^2 + y^2) is harmonic. Find the harmonic conjugate. Also find f(z). --- OR --- 31. Find the images of the infinite strips (A) 1/4 < y...
Examinations where questions for Harmonic Functions and Orthogonal Trajectories have appeared.
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