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KTU 2024 Scheme · Semester 2 · Group A

Mathematics for Information Science II (GAMAT201) Syllabus

Official KTU 2024 Scheme syllabus for Mathematics for Information Science II, Semester 2, Group A (Computer Science and Engineering).

This page compiles APJ Abdul Kalam Technological University's officially published 2024 Scheme syllabus for Computer Science and Engineering, Semester 2, sourced directly from KTU's official website (ktu.edu.in). Learnizo is an independent online tuition platform and is not affiliated with, endorsed by, or officially connected to APJKTU. The university may revise syllabus content after this page was last updated — always cross-check with the official KTU source for the current, authoritative version.

Course Code

GAMAT201

Credits

3

Teaching Hours

3:0:0:0 (L:T:P:R)

CIE Marks

40

ESE Marks

60

Exam Duration

2 Hrs 30 Min

Prerequisites

Elementary matrix operations

Semester

Semester 2

Course Objective

To provide a comprehensive understanding of linear algebra focusing on fundamental concepts and applications, and to develop the necessary skills to effectively utilize linear algebra in advanced studies and professional practice.

Module-wise Syllabus

Module 1

9 contact hours

Linear systems of equations, solution by Gauss elimination, row echelon form and rank of a matrix, fundamental theorem for linear systems — homogeneous and non-homogeneous (without proof), eigenvalues and eigenvectors of matrices, diagonalization of matrices.

Module 2

9 contact hours

Vector Spaces: examples of vector space — Rⁿ and Mm×n only, subspaces, examples as subspaces of Rⁿ and Mm×n, linear combinations of vectors in a vector space, spanning sets, linear dependence and independence, basis for a vector space, dimension of a vector space, coordinate representation in Rⁿ, change of basis in Rⁿ (transition matrix, without proof).

Module 3

9 contact hours

Vector length and unit vector, dot product and angle between two vectors, Cauchy-Schwarz inequality, inner product (examples as Rⁿ and M2×2), properties of inner products, definitions of length/distance/angle, orthogonal projections in inner product spaces, orthogonal and orthonormal sets and bases, Gram-Schmidt orthonormalization process (without proof), the least squares problem, projection onto a subspace, solving least squares problems.

Module 4

9 contact hours

Linear Transformations: properties, linear transformation given by a matrix, rotation in R², projection in R³, kernel of a linear transformation and its basis, range of a linear transformation and its basis, rank and nullity of a linear transformation, sum of rank and nullity (without proof), matrices for linear transformations.

Course Outcomes

  • CO1Solve systems of linear equations, evaluate eigenvalues and eigenvectors of matrices, and diagonalize matrices.
  • CO2Understand the concepts of vector spaces and subspaces and apply their properties.
  • CO3Describe inner product spaces and their properties, apply the orthonormalization process and solve least squares problems.
  • CO4Understand the concept of linear transformation and apply its properties, find the rank and nullity of a linear transformation, and find the matrices of linear transformations.

Assessment Pattern (CIE: 40 marks, ESE: 60 marks)

Continuous Internal Evaluation (CIE)

Attendance5
Assignment / Microproject15
Internal Examination 1 (Written)10
Internal Examination 2 (Written)10

End Semester Examination (ESE)

Total 60 marks, 2 Hrs 30 Min. See the official KTU syllabus document for the exact Part A / Part B question pattern for this course.

Textbooks & Reference Books

Textbooks

  • Advanced Engineering Mathematics — Erwin Kreyszig (John Wiley & Sons, 10th edition, 2016)
  • Elementary Linear Algebra — Ron Larson (Cengage Learning, 8th edition, 2017)

Reference Books

  • Mathematics for Machine Learning — Marc Peter Deisenroth, A. Aldo Faisal & Cheng Soon Ong (Cambridge University Press, 1st edition, 2020)
  • Linear Algebra and Learning from Data — Gilbert Strang (Wellesley-Cambridge Press, 1st edition, 2019)
  • Elementary Linear Algebra — Stephen Andrilli & David Hecker (Academic Press Inc., 4th edition, 2010)
  • Elementary Linear Algebra — Howard Anton, Chris Rorres (Wiley, 11th edition, 2019)

Frequently Asked Questions

How many credits is KTU Mathematics for Information Science II (GAMAT201)?

3 credits, with 3:0:0:0 (L:T:P:R) teaching hours per week, under the KTU 2024 Scheme.

How many modules are in the GAMAT201 syllabus?

4 modules, 36 total contact hours.

What is the CIE and ESE mark split for this course?

CIE (Continuous Internal Evaluation): 40 marks. ESE (End Semester Examination): 60 marks, 2 Hrs 30 Min. Total: 100 marks.

What are the recommended textbooks for GAMAT201?

Advanced Engineering Mathematics (Erwin Kreyszig); Elementary Linear Algebra (Ron Larson).

Is this syllabus specific to one branch, or common to others too?

This Semester 2 course is listed under Group A at KTU under the 2024 Scheme — check the course header above for which branches it's common to.

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