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KTU 2024 Scheme · Semester 1 · Group A

Mathematics for Information Science I (GAMAT101) Syllabus

Official KTU 2024 Scheme syllabus for Mathematics for Information Science I, Semester 1, 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 1, 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

GAMAT101

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

Basic knowledge in single variable calculus

Semester

Semester 1

Course Objective

To provide students with essential skills in analyzing functions of several variables, identifying extrema, and optimizing processes to prepare them to address diverse engineering applications and challenges.

Module-wise Syllabus

Module 1

9 contact hours

Limits of Function Values, Continuity at a point, Continuous Functions, Rates of Change: Derivative at a Point, Derivative as a Function, Second- and Higher-Order Derivatives, Instantaneous Rates of Change, Chain Rule, Implicit Differentiation, Tangents and Normal Lines, Linearization, Concavity: The Second Derivative Test for Concavity.

Module 2

9 contact hours

Functions of Several Variables: Domains and Ranges, Level curves of two variables, Limits for functions of two variables, Continuity for functions of two variables, Partial derivatives of a function of more than two variables, Partial derivatives and continuity, Second-Order partial derivatives, The mixed derivative theorem, The Chain Rule: Functions of two variables.

Module 3

9 contact hours

The Chain Rule: Functions of three Variables, Directional Derivatives in the Plane, Interpretation of the Directional Derivative, Gradient, Properties of the Directional Derivative, Local Extreme Values for Functions of Two Variables: Relative extrema, First derivative theorem for local extreme values, Critical point, saddle point, Second Derivative Test for Local Extreme Values, Absolute Maxima and Minima on Closed Bounded Regions.

Module 4

9 contact hours

Constrained Maxima and Minima, The Method of Lagrange Multipliers with one constraint, The Method of Lagrange Multipliers with two constraints, Method of Steepest Descent (only two variables), LPP-Formation, Solution of LPP using graphic method.

Course Outcomes

  • CO1Apply various concepts in calculus to linearize functions and to analyze concavity.
  • CO2Calculate the limits for functions of two variables and partial derivatives of multivariable functions.
  • CO3Interpret directional derivative and solve maxima and minima of multivariable functions.
  • CO4Solve constrained maxima and minima, LPP and understand the method of Steepest Descent.

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

  • Thomas' Calculus — Maurice D. Weir, Joel Hass, Christopher Heil, Przemyslaw Bogacki (Pearson, 15th edition, 2023)
  • Advanced Engineering Mathematics — Erwin Kreyszig (John Wiley & Sons, 10th edition, 2016)

Reference Books

  • Calculus — Howard Anton, Irl Bivens, Stephen Davis (Wiley, 10th edition, 2012)
  • Optimization: Algorithms and Applications — Rajesh Kumar Arora (CRC Press, 1st edition, 2015)
  • Multivariable Calculus — Ron Larson, Bruce Edwards (Brooks/Cole, Cengage Learning, 10th edition, 2014)
  • Calculus & Its Applications — Goldstein, Schneider, Lay, Asmar (Pearson, 14th edition, 2018)
  • Bird's Higher Engineering Mathematics — John Bird (Taylor & Francis, 9th edition, 2021)
  • Higher Engineering Mathematics — B. V. Ramana (McGraw-Hill Education, 39th edition, 2023)

Frequently Asked Questions

How many credits is KTU Mathematics for Information Science I (GAMAT101)?

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 GAMAT101 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 GAMAT101?

Thomas' Calculus (Maurice D. Weir, Joel Hass, Christopher Heil, Przemyslaw Bogacki); Advanced Engineering Mathematics (Erwin Kreyszig).

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

This Semester 1 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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