Analytic Functions and Cauchy-Riemann Equations
Curriculum and historical examination lineage for Analytic Functions and Cauchy-Riemann Equations 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.
“b. Find the analytic function \(f(z) = u+iv\) where \(u-v = e^x(\cos y - \sin y)\).”
“An analytic function with constant modulus is”
“\text{The function } f(z) = u + iv \text{ is analytic if} (A) u_x = v_y \text{ and } u_y = -v_x (B)...”
“If u - v = e^x (cos y - \sin y), find the analytic function in terms of z. (a) If u - v = e^x (cos...”
“Find the bilinear map which maps the points \(z=1, i, -1\) on to the point \(\omega=i, 0, -i\). ---...”
Representative historical questions extracted directly from SRMIST examination papers.
a. Find the bilinear map which maps the points \(z = 1, i, -1\) on to the point \(\omega = i, 0, -i\). --- OR --- 24.b. Find the analytic function \(f(z) = u+iv\) where \(u-v =...
b. Find the analytic function \(f(z) = u+iv\) where \(u-v = e^x(\cos y - \sin y)\).
An analytic function with constant modulus is
Find the bilinear map which maps the points \(z=1, i, -1\) on to the point \(\omega=i, 0, -i\). --- OR --- 24. Find the analytic function \(f(z)=u+iv\) where \(u-v=e^x(\cos y -...
Find the analytic function \(f(z)=u+iv\) where \(u-v=e^x(\cos y - \sin y)\).
Examinations where questions for Analytic Functions and Cauchy-Riemann Equations have appeared.
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