Engineering Mathematics III

Engineering Maths III Bachelor of Engineering(BE) videos According to syllabus of Institute of Engineering(IoE), Tribhuwan University (TU)

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Last updated Thu, 19-May-2022 Nepali
What will I learn?
  • After Completion of this Course, Students will get complete knowledge of Engineering Maths III, based on syllabus of IoE and will be able to secure good score in IoE exam.

Curriculum for this course
183 Lessons 23h 2m
0. Course Introduction & Mark Distribution
1 Lessons 3m
  • Marking Scheme 3 Minutes Free
  • 1.1-The Properties Of Determinants
    • 1.Determinants And Matrices- Properties of Determinant 5 Minutes Free
    • 2.Ex-1 Q.N.1i and 2i 13 Minutes Free
    • 3.Ex-1- Q.N.5 &6 5 Minutes
    • 4.Ex.1- Q.N.7 &10 14 Minutes
    • 5.Ex.1- Q.N.15 & 18 6 Minutes
    • 6.Properties of Det- Exercise-1- Q.N.16 8 Minutes
    • 7.Ex-1- Q.N.20 6 Minutes
    • 8.Ex.-1- Q.N.22 4 Minutes
    • 9.Ex-1- Q.N.24 5 Minutes
    • 10.Ex.-1- Q.N.27 4 Minutes
    • 11.Ex-1- Q.N.30 6 Minutes
    • 12.Example-1- BE-Question & Answer 6 Minutes
    • 13.Example-2- BE-Question & Answer 4 Minutes
    • 14.Properties of Determinant- Example-10 6 Minutes
    • 15.Properties of det.- Example-17 6 Minutes
    • 16.Properties of Det.- Example-19 7 Minutes
    1.2-Solutions of system of Linear Equation
    • 1.Ex-2- Q.N.1-i 6 Minutes
    • 2.Ex-2-QN.-x 5 Minutes
    • 3.Ex-2-QN.1-xvi 3 Minutes
    • 4.Ex-2-Q.N.3 4 Minutes
    1.3-Algebra of matrices
    • 1.Ex-3- Q.N.1-i & vi 3 Minutes
    • 2.Ex.-3-Q.N.6 3 Minutes
    • 3.Ex. Q.N.9 & 16 4 Minutes
    • 4.Algebra of matrices- Exercise-3-Q.N.15 1 Minutes
    • 5.Ex-3- Q.N.19 3 Minutes
    1.4-Special types of matrices
    • 1.Special types of matrices- Theorem 1 9 Minutes
    • 2.Theorems-2 & 3 9 Minutes
    • 3.Theorem-4 3 Minutes
    • 4.Special type of matrix- Theorem-5- Proof 3 Minutes
    • 5.Exercise-4- Q.N.1 4 Minutes
    • 6.Special type of Matrix- Exercise-4-Q.N.-9-ii 4 Minutes
    • 7.Exercise-4-QN-10 3 Minutes
    • 8.Exercise-4- Q.N.13 & 15 4 Minutes
    • 9.Exercise-4- Q.N.17 3 Minutes
    1.5-Rank of matrices
    • 1.Rank of matrix 4 Minutes
    • 2.Exercise-5- Q.N.1;4 &6 10 Minutes
    • 3.Exercise-5- Q.N.8 6 Minutes
    • 4.Exercise-5- Q.N.14 6 Minutes
    • 5.Exercise-5- Q.N.16 2 Minutes
    • 6.Exercise-5- Q.N.17 7 Minutes
    • 7.Exercise-5-Q.n.19 3 Minutes
    • 8.Exercise-5-Q.N.20-ii 3 Minutes
    • 9.Exercise-5- Q.N.20-ix 4 Minutes
    • 10.Rank of matrix- Example-8 7 Minutes
    1.6-Cayley- Hamilton Theorem
    • 1.Cayley Hamilton Theorem- Eigen values & Eigen vectors 4 Minutes
    • 2.Exercise-6- Q.N.1- i & iv 9 Minutes
    • 3.Exercise-6-Q.N.2 3 Minutes
    • 4.Caley Hamilton Th- Exercise-6- Q.N.3 2 Minutes
    • 5.Exercise-6- Q.N.7-iii 14 Minutes
    • 6.Caley Hamilton Th- Exercise-6-Q.N.7-vii 10 Minutes
    • 7.Exercise-6-Q.N.7-xi 8 Minutes
    • 8.Exercise-6-Q.N.8-ii 10 Minutes
    • 9.Exercise-6-Q.N.8-iv 6 Minutes
    • 10.Caley Hamilton Th- Exercise-6-Q.N.10-v 9 Minutes
    • 11.Exercise-6- Q.N.10- i 9 Minutes
    2.1 Line Integral & Definition
    • 1.Chapter-2-Line surface & Volume Integrals- definitions 3 Minutes
    • 2.Exercise-7-Q.N.1-Vii 10 Minutes
    • 3.Exercise-7-Q.N.6 6 Minutes
    • 4.Exercise-7-Q.N.7 5 Minutes
    • 5.Line Integral- Example-7-i 6 Minutes
    • 6.Line Integral- Exercise-7- Q.N.2i, 4 & 9 15 Minutes
    • 7.Example-BE Exam-Question& Answer 6 Minutes
    2.2 Surface Integrals
    • 1.Surface Integral- Introduction 3 Minutes
    • 2.Exercise-8-Q.N.2 8 Minutes
    • 3.Exercise-8- Q.N.3-ii 9 Minutes
    • 4.Exercise-8-Q.N.4 8 Minutes
    • 5.Surface Integral- Exercise-8- Q.N.8 12 Minutes
    2.3 Integral Transformation Theorems
    • 1.Greeen & Stokes Theorem- Statements 3 Minutes
    • 2.Exercise-9- Q.N.1 9 Minutes
    • 3.Integral transformation Theorem -Exercise-9-Q.N.-7 6 Minutes
    • 4.Integral Transformation Th- Exercise-9-Q.n.-9-iii 4 Minutes
    • 5.Integral Transformation Th- Exercise-9-Q.N.14 8 Minutes
    • 6.Integral Transformation Th- Exercise-9- Q.N.15-ii 5 Minutes
    • 7.Exercise-9- Q.N.12 11 Minutes
    • 8.Example-1- BE Question & solution 12 Minutes
    • 9.Example-2- BE Question & Answer 6 Minutes
    2.4 Volume Integral
    • 1.Volume Integral & Exercise-10-Q.N.1 5 Minutes
    • 2.Exercise-10-Q.N.2 9 Minutes
    • 3.Exercise-10-Q.N.4-vi 2 Minutes
    • 4.Exercise-10-Q.N.5 10 Minutes
    • 5.Exercise-10- Q.N.8 5 Minutes
    • 6.Exercise-10-Q.N.9 6 Minutes
    • 7.Exercise-10- Q.N.10 16 Minutes
    • 8.Exmaple-BE Question &Answer 5 Minutes
    • 9.Example-5 13 Minutes
    3.1 Laplace Transformation - Definition & Introduction
    • 1.Laplace Transforms- Definition & Formulae 7 Minutes
    • 2.Exercise-11- Q.N-1- i,vi &viii 8 Minutes
    • 3.Exercise-11- Q.N.-1- xi & xv 4 Minutes
    • 4.Exercise-11-Q.N.-2- vi,vii & ix 10 Minutes
    • 5.Exercise-11-Q.N.2.xii & xiii 6 Minutes
    • 6.Exercise-11- Q.N.2-xv & xvi 4 Minutes
    • 7.Exercise-11-Q.N.2-xvii 5 Minutes
    • 8.Ex-11-Q.N.3.-ii & iii 7 Minutes
    • 9.Exeecise-11-Q.N.3i & Q.N.4-i 5 Minutes
    • 10.Exercise-11-Q.N.7.i 3 Minutes
    • 11.Example-2-ii & 3-a) & b) 10 Minutes
    • 12.Example-4-i,ii & iii 8 Minutes
    • 13.Example-5-i & ii 4 Minutes
    3.2 Inverse Laplace Transform
    • 1.Inverse Laplace transform 4 Minutes
    • 2.Exercise-12-Q.N.1,6 &7 11 Minutes
    • 3.Exercise-12-Q.N.11,17,& 24 15 Minutes
    • 4.Exercise-12-Q.N.31 &32 8 Minutes
    • 5.Example-2-i & ii 2 Minutes
    • 6.Example-4-ii 7 Minutes
    3.3 Theorems on Inverse L.T
    • 1.Theorems On Inverse L.T. And Exercise-13-Q.N.1 &7 9 Minutes
    • 2.Exercise-13-Q.N.11, 18 & 19 12 Minutes
    • 3.Exercise-13- Q.N.25 &28 8 Minutes
    • 4.Exercise-13-Q.N.26 4 Minutes
    • 5.Exercise-13-Q.N.30 3 Minutes
    • 6.Example-2-iii & 3-i & 4-ii 11 Minutes
    3.4 Application of Laplace Transform
    • 1.Exercise-14-Q.N.4 6 Minutes
    • 2.Exercise-14-Q.N.10 9 Minutes
    • 3.Exercise-14-Q.N.12 9 Minutes
    • 4.Exercise-14- Q.N.16 4 Minutes
    • 5.Example-6 7 Minutes
    • 6.Example-7 6 Minutes
    • 7.Example-8 7 Minutes
  • 1.LPP- Introduction & Definitions 8 Minutes
  • 2.Exercise-15-Q.N.2.i 8 Minutes
  • 3.LPP- Ex-15-Q.N.3-i 9 Minutes
  • 4.Exercise-15-Q.N.3-iv 8 Minutes
  • 5.Exercise-15-Q.N.3-xii 11 Minutes
  • 6.Exercise-16- Q.N.2-i 14 Minutes
  • 7.Exercise-16-Q.N.3-ii 19 Minutes
  • 8.Exercise-16-Q.n.4-i 16 Minutes
  • 9.Example-4-(a)- LPP 8 Minutes
  • 10.Example-4-(b)-LPP 14 Minutes
  • 11.Example-8 -LPP 12 Minutes
  • 1.Fourier Series- Formulae 7 Minutes
  • 2.Exercise-17- Q.N.1 16 Minutes
  • 3.Exercise-17- Q.N.4 9 Minutes
  • 4.Exercise-17-Q.N.6 8 Minutes
  • 5.Exercise-17- Q.N.15 12 Minutes
  • 6.Exercise-17- Q.N.17 12 Minutes
  • 7.Fourier Series-Half range Fourier Series- Formulae 5 Minutes
  • 8.Exercise-18-Q.N.2 9 Minutes
  • 9.Exercise-18-Q.N.6 8 Minutes
  • 10.Exercise-18-Q.N.10 6 Minutes
  • 11.Exercise-18- Q.N.14 4 Minutes
  • 12.Exercise-18-Q.N.15 7 Minutes
  • 13.Example-1- BE Question & Answer 5 Minutes
  • 14.Example-2- BE- Question & Answer 8 Minutes
  • 15.Example-2- Fourier Series 11 Minutes
  • 16.Example-5- Half Range Fourier Series 9 Minutes
  • 17.Example-8- Half Range Fourier Series 5 Minutes
  • Requirements
    • Students are required to have knowledge of Engineering Maths III, based on syllabus of IoE
    Description

    Engineering Mathematics III

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