Linear Algebra and Partial Differential Equations detail syllabus for Medical Electronics (Med Ele), 2017 regulation is taken from Anna University official website and presented for students of Anna University. The details of the course are: course code (MA8352), Category (BS), Contact Periods/week (4), Teaching hours/week (4), Practical Hours/week (0). The total course credits are given in combined syllabus.
For all other med ele 3rd sem syllabus for be 2017 regulation anna univ you can visit Med Ele 3rd Sem syllabus for BE 2017 regulation Anna Univ Subjects. The detail syllabus for linear algebra and partial differential equations is as follows.”
Course Objective:
- 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
Unit I
For complete syllabus and results, class timetable and more pls download iStudy. Its a light weight, easy to use, no images, no pdfs platform to make students life easier.
Unit II
Linear Transformation and Diagonalization
Linear transformation – Null spaces and ranges – Dimension theorem – Matrix representation of a linear transformations – Eigenvalues and eigenvectors – Diagonalizability.
Unit III
Inner Product Spaces
Inner product, norms – Gram Schmidt orthogonalization process – Adjoint of linear operations -Least square approximation.
Unit IV
For complete syllabus and results, class timetable and more pls download iStudy. Its a light weight, easy to use, no images, no pdfs platform to make students life easier.
Unit V
Fourier Series Solutions of Partial Differential Equations
Dirichlets conditions – General Fourier series – Half range sine and cosine series – Method of separation of variables – Solutions of one dimensional wave equation and one-dimensional heat equation – Steady state solution of two-dimensional heat equation – Fourier series solutions in Cartesian coordinates.
Course Outcome:
Upon successful completion of the course, students should be able to:
- 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
Text Books:
- 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.
References:
- Burden, R.L. and Faires, J.D, “Numerical Analysis”, 9th Edition, Cengage Learning, 2016.
- James, G. Advanced Modern Engineering Mathematics, Pearson Education, 2007.
- Kolman, B. Hill, D.R., Introductory Linear Algebra, Pearson Education, New Delhi, First Reprint, 2009.
- Kumaresan, S., Linear Algebra – A Geometric Approach, Prentice – Hall of India, New Delhi, Reprint, 2010.
- Lay, D.C., Linear Algebra and its Applications, 5th Edition, Pearson Education, 2015.
- ONeil, P.V., Advanced Engineering Mathematics, Cengage Learning, 2007.
- Strang, G., Linear Algebra and its applications, Thomson (Brooks/Cole), New Delhi, 2005.
- Sundarapandian, V. Numerical Linear Algebra, Prentice Hall of India, New Delhi, 2008.
For detail syllabus of all other subjects of BE Med Ele, 2017 regulation do visit Med Ele 3rd Sem syllabus for 2017 Regulation.
Dont forget to download iStudy for latest syllabus and results, class timetable and more.