Linear Algebra and Partial Differential Equations detail syllabus for Electronics & Communication Engineering (E&Tc), 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 e&tc 3rd sem syllabus for be 2017 regulation anna univ you can visit E&TC 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
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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
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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 E&Tc, 2017 regulation do visit E&Tc 3rd Sem syllabus for 2017 Regulation.
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