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MTH165 — Mathematics For Engineers

Practice

Course Overview

MTH165 4 Credits L:3 T:1 P:0 Core
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This course develops engineering mathematics skills in matrix methods and linear systems, differential and integral calculus, multivariable differentiation and integration, optimization, and Fourier series. Students apply these methods to solve mathematical and engineering problems involving systems of equations, derivatives, integrals, area, volume, and periodic functions.

Study Units

Unit 1

Matrix methods and linear systems

Notes MCQ Subjective
Unit 2

Differential calculus and its applications

Notes MCQ Subjective
Unit 3

Fundamentals of integral calculus

Notes MCQ Subjective
Unit 4

Multivariate differentiation

Notes MCQ Subjective
Unit 5

Multivariable integration and applications

Notes MCQ Subjective
Unit 6

Introduction to Fourier series

Notes MCQ Subjective

Continuous Assessment

3 components

Test 1 50%

Review of matrices, elementary matrix operations, rank, linear dependence and independence of vectors, linear systems, inverse matrices, eigenvalues and eigenvectors, Cayley-Hamilton theorem, differentiation of standard, parametric and implicit functions, logarithmic and higher-order differentiation, Rolle’s and mean value theorems, Taylor and Maclaurin theorems, L'Hospital's rule, and maxima and minima.

Week 5 / 6

Rubric
To analyze the understanding of the concepts of the students related to linear algebra and basic calculus

Test 2 50%

Limits and continuity, partial derivatives and total derivative, chain rule, Euler's theorem for homogeneous functions, maxima and minima for a function of two variables, and Lagrange method of multiplier.

Week 8 / 9

Rubric
Develop students' understanding of multivariable calculus and problem-solving skills for engineering and real-world applications.

Test 3 50%

Subjective test covering syllabus from CA1 and CA2

Week 11 / 12

Rubric
To test the subjective knowledge of the students and provide the opportunity to improve their CA performance in case of low marks or any missed CA

Exams & Practice

Mid Term Examination

Mid-semester comprehensive evaluation

20%
Coming Soon

End Term Examination

Final semester comprehensive evaluation

50%

Type: Examination

Coming Soon

MTH165 - FAQs

How many units are in MTH165?

MTH165 has 6 units. Each unit includes detailed notes and MCQ practice questions.

What exam resources are available for MTH165?

Unit-wise notes and MCQ practice are available. Exam resources coming soon.

How to prepare for MTH165 exams?

Study each unit's notes thoroughly, practice MCQs to test understanding, and attempt mock tests before exams. Focus on important topics and previous year questions.