Advanced Linear Algebra, Complex Analysis & PDE
24MAP301 · S3 · 5 credits
5 modules · Practice & PYQs ready
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Why:2 high-weightage exam questions · Foundation module
Why:2 high-weightage exam questions
Why:1 high-weightage exam question
Why:1 high-weightage exam question
Why:Standard exam coverage
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M1: (Vector space)
Define a vector space and give an example
Determine if a set of vectors is linearly independent
M2: (Inner Product)
State the Cauchy-Schwarz inequality
Apply Gram-Schmidt to find an orthogonal basis
M3: (Complex differentiation)
State the Cauchy-Riemann equations
Determine if a function is analytic
M4: (Complex Integration)
State Cauchy's integral formula
Use residues to evaluate real integrals
M5: (Partial Differential Equations)
Form a PDE by eliminating arbitrary constants
Solve using Lagrange's method
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What this module covers
≈ 4h of curated content available across this subject.