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Linear Algebra and Partial Differential Equations

Description

  • To introduce the basic notions of groups, rings, fields which will then be used to solve related problems.
  • To understand the concepts of vector space, linear transformations and diagonalization.
  • To apply the concept of inner product spaces in orthogonalization.
  • To understand the procedure to solve partial differential equations.
  • To give an integrated approach to number theory and abstract algebra, and provide a firm basis for further reading and study in the subject.

What Will I Learn?

  • Explain the fundamental concepts of advanced algebra and their role in modern mathematics and applied contexts.
  • Demonstrate accurate and efficient use of advanced algebraic techniques.
  • Demonstrate their mastery by solving non - trivial problems related to the concepts and by proving simple theorems about the statements proven by the text.
  • Able to solve various types of partial differential equations. Able to solve engineering problems using Fourier series.

Topics for this course

5 Lessons50h

LINEAR ALGEBRA AND PARTIAL DIFFERENTIAL EQUATIONS

Lesson 1-VECTOR SPACES
Lesson 2-LINEAR TRANSFORMATION AND DIAGONALIZATION
Lesson 3-INNER PRODUCT SPACES
Lesson 4-PARTIAL DIFFERENTIAL EQUATIONS
Lesson 5-FOURIER SERIES SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS

About the instructor

SA

super admin

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518 Courses

3 students

Free

Material Includes

  • Grewal B.S., ―Higher Engineering Mathematics‖, Khanna Publishers, New Delhi, 43rd Edition, 2014.
  • Friedberg, A.H., Insel, A.J. and Spence, L., ―Linear Algebra‖, Prentice Hall of India, New Delhi, 2004.

Requirements

  • B.E/Diploma Students Can Pursue this Course

Target Audience

  • All Engineering Students Can Participate