Course curriculum

  • 1

    Module 1(Arun Kumar Chatterjee)

    • First order first degree equations with examples - Lecture -7
    • First order first degree equations with examples - Lecture -8
    • Bernoulli's Equation - Lecture -9
    • Exact Eqns,meaning- Lecture -10
    • Integrating Factors for Inexact Eqns- Lecture -11
    • Integrating factors for Inexact eqns - Lecture -12
    • Integrating Factors - Lecture -13
    • Summary of Integrating Factors..ALL FIVE FORMS - Lecture -14
    • DIFFERENTIAL EQUATIONS - Lecture -15
    • Linear and non linear equations- Lecture -16
    • Non linear equations - Lecture -17
    • Equations solvable for p, x & y - Lecture -18
    • COMPLETE SOLUTION...The CF & PI - Lecture -19
    • Variation of Parameters for finding the PI - Lecture -20
    • Variation of Parameters (Examples) - Lecture -21
    • The Cauchy - Euler Equation (Theory)- Lecture -22
    • The Cauchy Euler Equation (Example) - Lecture -23
    • D-OPERATOR Method to find Particular Integral - Lecture -24
    • D-OPERATOR Method to find Particular Integral - Lecture -25
    • D-OPERATOR and Inverse D-OPERATOR - Lecture -26
    • D-OPERATOR Method (Examples) - Lecture -27
    • D-Operator Examples (Cont)- Lecture -28
    • D-Operator on Polynomials - Lecture -29
    • D-Operator on Polynomials (Examples) - Lecture -30
    • Green's Theorem in the plane - Lecture -31
    • Green's Th(Cont) & Intro to Double Integrals- Lecture -32
    • DOUBLE INTEGRALS (Cont) - Lecture -33
    • Double Integration- Application to find Area - Lecture -34
    • Green's Theorem- Verification (Examples) - Lecture -35
    • D-OPERATOR Methods(Examples) - Lecture -36
    • QUESTION BOOKLET 1
    • ANSWER BOOKLET 1
  • 2

    Module 2(Arun Kumar CHatterjee)

    • 1.Mathematical modelling of physical problems
    • 2.Mathematical Modelling Of Physical Problems Newtons Law of Cooling
    • 3.Mathematical Modelling Of Physical Problems Newtons Law of Cooling Problem
    • 4.Mathematical Modelling Of Physical Problems Radio active decay with example
    • 7.Mathematical modelling Of Physical problems Isogonal Trajectories
    • 8.Mathematical modelling Of Physical problems Motion in a resisting Medium
    • 9. Sub-tangents & sub normals
    • 10.Sub-tangents & sub normals
    • 11.sub-tangents & sub normals in polar co-ordinates with example
    • 12.Motion in a Resisting medium
    • 13.Lec-1 part 1 Motion in a Resisting medium with a exam
    • 14.Lec-1 part 2 Motion in a Resisting medium with a exam
    • 15.Sub-tangents & Sub normals
    • 16.Motion in a resisting medium
    • 17.Drag force proportional to the square of the velocity
    • 18.The Brine Problem
    • 19.Application of Differential equations the R-C circuit charging 1
    • 20.Application of Differential equations the R-C circuit charging 2
    • 21.Application of Differential equations the R-C Discharging circuit
    • 22.Application of Differential Equation L-R circuits
    • QUESTION BOOKLET : QUIZ 1
    • ANSWER BOOKLET : QUIZ 1