| Course Status : | Ongoing |
| Course Type : | Core |
| Duration : | |
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| Level : | None |
PART-A
Unit 1: Linear Algebra
Concepts of Groups
Concepts of Ring and Fields
Vector Space
Linear Transformations
Linear Algebra
Matrix of Linear Transformation
Inverse of Matrix
Rank of Matrix
Unit 2: Linear Equations
Solution of System of Linear Equations
Homogeneous Linear Equations
Non-Homogeneous Linear Equations
Consistency theorem.
Unit 3: Eigen Values & Triangularization
Characteristic roots and Vectors
Clayey-Hamilton Theorem
Minimal Polynomial of a Matrix
Orthogonal Matrices
Normal and Unitary Matrices
Diagonalization of a Matrix.
PART-B
Unit 4: Elements of Statistics
4.1 Measures of Central Tendency
4.2 Measures of Variations Covariance
4.3 Correlation and Coefficient of Correlation
4.4 Regression
4.5 Regression lines
4.6 Probability
4.7 Binomial Distribution
4.8 Poisson Distribution
4.9 Normal Distribution
4.10 Fitting of Normal distribution to given data
Unit 5: Sampling
5.1 Concept of Sampling
5.2 Level of Significance
5.3 Critical Region
5.4 Test of Significance for large Samples
5.5 Sampling with small Samples
5.6 χ2 - Distribution
Unit 6: Linear Programming & Transportation
6.1 Linear Programming
6.2 Graphical Method to solve LPP
6.3 Simplex Method
6.4 Artificial variables and degeneracy in Simplex Method
6.4 Transportation Problems and their optimal basic solutions
6.5 Unbalanced Transportation Problems.
1. Babu Ram, 2014, Engineering Mathematics, Volume II, Pearson Education
2. Glyn James, 2010, Advanced Modern Engineering Mathematics, Pearson Education
3. Bruce Cooperstein, 2015, Advanced Linear Algebra, Chapman and Hall Publication.
4. Kaare Brandt Petersen, 2012, Michael Syskind Pedersen, The Matrix Cookbook, Technical University of Denmark.
I am working as an Associate Professor, at the Centre for Online and Distance Education, Manav Rachna, Haryana, India. My qualifications are Ph.D. (Management), MPhil (Management), MBA (HRM), M.Sc. (Mathematics), B.Sc. (Non-Medical). and B.Ed. I obtained a doctoral program in (Human Resource Management) from MRIU, Haryana in 2016. I qualified UGC- NET (Management) in the year 2010. My area of expertise includes Business Management, Business Statistics, and Applied Mathematics. I have published 24 research papers in various reputed National and International journals with high impact factors and presented 08 research papers at conferences of repute. I have penned down two books ‘Principles of Management, Manav Rachna Publishing House, Faridabad, and ‘Stress among BPO Employees, Lambert Academic Publishing House, USA and Edited one book on “Impact of Artificial Intelligence in Organizational Transformation” with WILEY Publications. I have published four chapters in reputed books (Scopus, Springer, and Wiley publications) as well. I have published one Indian patent and one International (Australian) patent so far. I am associated with the All India Management Association (AIMA) as a member. I have been collaborating with various international and national researchers and learning continuously through online learning platforms. I am a hardcore researcher in the field of interdisciplinary domain with five research scholars doing Ph.D. under me.
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