Description: “Mathematics III describes more advanced Engineering Mathematics topics which provide students with the relevant mathematical tools required in the analysis of problems in engineering and scientific professions. The topics covered include ordinary differential and partial differential equations and vector analysis. The mathematical skills derived from this course form a necessary base to analytical and design concepts encountered in the program.”
Curriculum
- 1 Section
- 39 Lessons
- 10 Weeks
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- Mathematics - III39
- 2.1Lecture 1: Solution of ODE of First Order and First Degree
- 2.2Lecture 2: Linear Differential Equations of the First Order
- 2.3Lecture 3: Approximate Solution of An Initial Value
- 2.4Lecture 4: Series Solution of Homogeneous Linear I
- 2.5Lecture 5: Series Solution of Homogeneous Linear II
- 2.6Lecture 6: Bessel Functions and Their Properties I
- 2.7Lecture 7: Bessel Functions And Their Properties II
- 2.8Lecture 8: Laplace Transformation I
- 2.9Lecture 9: Laplace Transformation II
- 2.10Lecture 10: Applications Of Laplace Transformation I
- 2.11Lecture 11: Applications Of Laplace Transformation II
- 2.12Lecture 12: One Dimensional Wave Equation
- 2.13Lecture 13: One Dimensional Heat Equation
- 2.14Lecture 14 – Introduction to Differential Equation
- 2.15Lecture 15 – First Order Differential Equations and Their Geometric Interpretation
- 2.16Lecture 16 – Differential Equations of First Order & Higher Degree
- 2.17Lecture 17 – Linear Differential Equation of Second Order-Part – 1
- 2.18Lecture 18 – Linear Differential Equation of Second Order-Part – 2
- 2.19Lecture 19 – Euler-Cauchy Theorem
- 2.20Lecture 20 – Higher Order Linear Differential Equations
- 2.21Lecture 21 – Higher Order Non homogeneous Linear Equations
- 2.22Lecture 22 – Boundary Value Problems
- 2.23Lecture 23 : Strum Liouville boundary Value Problem
- 2.24Lecture 24 :Fourier Series – Part – 1
- 2.25Lecture 25 – Fourier Series-Part – 2
- 2.26Lecture 26 : Convergence Of The Fourier Series
- 2.27Lecture 27: Fourier Integrals
- 2.28Lecture 28 – Fourier Transforms
- 2.29Lecture 29 – Partial Differential Equation
- 2.30Lecture 30 – First Order Partial Differential Equation
- 2.31Lecture 31 – Second Order Partial Differential Equations – I
- 2.32Lecture 32 :Second Order Partial Differential Equations – II
- 2.33Lecture 33 – Solution of One Dimensional Wave Equation
- 2.34Lecture 34 – Solution of Homogeneous&Non Homogeneous Equations
- 2.35Lecture 35 – Fourier Integra & Transform Method for Heat Equation
- 2.36Lecture 36 – Three Dimensional Laplace Equation
- 2.37Lecture 37 – Solution of Drichlet Problem
- 2.38Lecture 38 :Numerical Method for Laplace Poisson equation
- 2.39Lecture 39 – ADI Method for Laplace and Poisson Equation
