BTECH IN ELECTRONICS AND COMMUNICATION ENGINEERINGcoretheorySem 3
ENGINEERING MATHEMATICS-III
MAT 2122
Syllabus
- 01Systems of Linear Equations
- 02Matrices
- 03Solving Systems of Linear Equations
- 04Vector Spaces
- 05Linear Independence
- 06Basis and Rank
- 07Linear Mappings
- 08Affine Spaces
- 09Norms
- 10Inner Products
- 11Lengths and Distances
- 12Angles and Orthogonality
- 13Orthonormal Basis
- 14Orthogonal Complement
- 15Inner Product of Functions
- 16Orthogonal Projections
- 17Rotations
- 18Determinant and Trace
- 19Eigenvalues and Eigenvectors
- 20Cholesky Decomposition
- 21Eigen decomposition and Diagonalization
- 22Singular Value Decomposition
- 23Matrix approximation
- 24Periodic function
- 25Fourier Series expansion
- 26even and odd functions
- 27functions with arbitrary periods
- 28Half range expansions
- 29Fourier transform
- 30basic properties
- 31Parseval's identity and applications
References
- Marc Peter Deisenroth, A. Aldo Faisal, Cheng Soon Ong, “Mathematics for Machine Learning”, Cambridge University Press, 2020
- Grewal B.S. – “Higher Engineering Mathematics”, Khanna Publishers, 43rd edition, 2015
- Stephen H. Friedberg Lawrence E Spence, Arnold J Insel, Elementary Linear Algebra: “A Matrix Approach Introduction to Linear Algebra”, Second Edition, 2019
- David Lay, Steven Lay, Judi McDonald, “Linear Algebra and Its Applications, Pearson”, 2019
- Gilbert Strang, “Introduction to Linear Algebra”, Fifth Edition, Wellesley-Cambridge Press, 2016
- Mordechai Ben-Ari, “Mathematical Logic for Computer Science”, Third Edition, Springer, 2012
- Narayanan, Ramaniah and Manicavachagom Pillay, “Advanced Engineering Mathematics”, Vol 2 and 3, Vishwanthan Publishers Pvt Ltd, 1998
- Erwin Kreyszig, Advanced Engineering Mathematics, 5th edn., Wiley Eastern, 1985
Credits Structure
2Lecture
1Tutorial
0Practical
3Total