Bilinear Transformations and Cross-Ratio
Curriculum and historical examination lineage for Bilinear Transformations and Cross-Ratio 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.
“Find the bilinear transformation which maps the points 1, i, -1 of z-plane onto the points 0, 1,...”
“If \(f(z) = u + iv\) is analytic find \(f(z)\) and \(v\) if \(u = \frac{\sin 2x}{\cos 2x + \cosh...”
“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 transformation which maps the points \(z = -2, 0, 2\) into the points \(w = 0, i,...”
“Find the bilinear transform which maps the points z_{1}=1, z_{2}=i, z_{3}=-1 into the points...”
Representative historical questions extracted directly from SRMIST examination papers.
If \(f(z) = u + iv\) is analytic find \(f(z)\) and \(v\) if \(u = \frac{\sin 2x}{\cos 2x + \cosh 2y}\). (a) If \(f(z) = u + iv\) is analytic find \(f(z)\) and \(v\) if \(u =...
Find the bilinear transformation which maps the points \(z = -2, 0, 2\) into the points \(\omega = 0, i, -i\) respectively. (b) Find the bilinear transformation which maps the...
Determine the analytic function f(z) = u+iv such that u-v = e^x(\cos y - \sin y). (a) Determine the analytic function f(z) = u+iv such that u-v = e^x(\cos y - \sin y). --- OR ---...
Find the bilinear transformation which maps the points 1, i, -1 of z-plane onto the points 0, 1, \infty of w-plane. (b) Find the bilinear transformation which maps the points 1,...
If \(f(z) = u + iv\) is analytic find \(f(z)\) and \(v = \frac{\sin 2x}{\cos 2x + \cosh 2y}\). --- OR --- 24. Find the bilinear transformation which maps the points \(z = -2, 0,...
Examinations where questions for Bilinear Transformations and Cross-Ratio have appeared.
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