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MTH166 Units

Practice

DIFFERENTIAL EQUATIONS AND VECTOR CALCULUS

MTH166 4 Credits L:3 T:1 P:0

This course focuses on the definitions, distinctions, and solution methods for various differential equations, including partial differential equations like heat, wave, and Laplace equations. Additionally, it covers vector calculus concepts such as derivatives of vector fields, gradient, divergence, curl, and the computation of line, surface, and volume integrals.

Study Units

Unit 1

Ordinary differential equations

Notes MCQ Subjective
Unit 2

Differential equations of higher order

Notes MCQ Subjective
Unit 3

Linear Differential Equations

Notes MCQ Subjective
Unit 4

Partial Differential Equation

Notes MCQ Subjective
Unit 5

Vector Calculus I

Notes MCQ Subjective
Unit 6

Vector calculus II

Notes MCQ Subjective

Continuous Assessment

2 components

Test 50%

exact equations, equations reducible to exact equations, equations of the first order and higher degree, Clairaut's equation. introduction to linear differential equation, Solution of linear differential equation, LD/LI, method of solution of LDE, solution of second and higher order homogeneous linear differential equations with constant coefficient.

Week 5 / 6
Test- Situation based problem solving 50%

introduction to partial differential equation, method of Separation of Variables, solution of wave equation, solution of heat equation, solution of Laplace equation. limit, continuity and differentiability of vector functions, length of space curve, motion of a body or particle on a curve.

Week 11 / 12

Exams & Practice

Mid Term Examination

Mid-semester comprehensive evaluation

20%
Coming Soon

End Term Examination

Final semester comprehensive evaluation

50%

Type: Examination

Coming Soon

MTH166 - FAQs

How many units are in MTH166?

MTH166 has 6 units. Each unit includes detailed notes and MCQ practice questions.

What exam resources are available for MTH166?

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

How to prepare for MTH166 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.