CORE

Advanced Linear Algebra and Transforms

24MAP300 · S3 · 4 credits

5 modules · Practice & PYQs ready

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PRIORITY A
I: (Vector space)

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PRIORITY A
I: (Inner Product)

Why:1 high-weightage exam question

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PRIORITY B
I: (Linear Transformations)

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PRIORITY B
V: (Laplace transforms)

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PRIORITY C
V: (Fourier series)

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Modules
5 modules
01
I: (Vector space)
8 topics·2 questions
02
I: (Linear Transformations)
7 topics·2 questions
03
I: (Inner Product)
7 topics·2 questions
04
V: (Laplace transforms)
7 topics·2 questions
05
V: (Fourier series)
7 topics·2 questions
PYQs · 10 questionsFull bank →
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M1I: (Vector space)

high

Define a vector space and give an example

high

Determine if a set of vectors is linearly independent

M2I: (Linear Transformations)

medium

Find the kernel of a linear transformation

medium

Find the image of a linear transformation

M3I: (Inner Product)

high

State the Cauchy-Schwarz inequality

medium

Apply Gram-Schmidt to find an orthogonal basis

M4V: (Laplace transforms)

medium

Compute Laplace transform of basic functions

medium

Use convolution to solve ODEs

M5V: (Fourier series)

medium

Find Fourier series of a given function

medium

Apply Fourier transform to solve PDEs

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Module overview

What this module covers

What it's about
Vector spaces, subspaces, linear independence, basis and dimension
Why it matters in exams
Foundation for all subsequent topics in linear algebra and analysis
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