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INTRODUCTORY MATHEMATICS-II (UMA006) Dr. A.K Lal Date: 31/03/2020
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CALCULUS-1 (UMA015) Dr. A.K Lal Date: 31/03/2020
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Measure Theory and Integration (PMA204) Dr. Jatinderdeep Kaur Date: 22/05/2020
1. Lebesgue Integral of bounded functions
2. Relation between Riemann integral and Lebesgue Integral
3. Relation between measurable functions and Lebesgue integral
4. Bounded convergence theorem
5. Fatou’s lemma
6. Monotone convergence theorem
7. General Lebesgue integral
8. Lebesgue dominated convergence Theorem
9. Dini derivatives
10. Bounded variation
11. Jordon Decomposition theorem
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Mathematics-II (UMA004) Dr. Jatinderdeep Kaur Date: 22/05/2020
1. Unit step functions
2. Dirac Delta functions
3. Convolution Theorems
4. Fourier series of periodic functions
5. Convergence of Fourier series
6. Applications of Fourier series
7. Row-Reduced Echelon form
8. Eigen values and Eigen vectors
9. Vector space and Subspace
10. Span and LI/LD
11. Basis and Dimensions
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Mathematics-II (UMA004) Date: 22/05/2020
Dr. Pramod, Dr. Jatinderdeep Kaur, Dr. Kavita, Dr. Satish Sharma, Dr. Ankush Pathania
First two units:
1. Ordinary differential equations
2. Laplace transform
Last two units:
3. Fourier Series
4. Linear Algebra
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Optimisation techniques (UMA031) Dr. Isha Dhiman Date: 22/05/2020
1. Sensitivity Analysis
2. Transportation Problem
3. Assignment Problem
4. Integer linear programming
5. Project Management
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Complex analysis Dr. Amrik sen Date: 22/05/2020
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Optimization Techniques (UMA035) Dr. Meenakshi Rana Date: 22/05/2020
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Optimization Techniques (UMA034) Dr. Meenakshi Rana Date: 22/05/2020
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Number Theory (PMA401) Dr. Meenakshi Rana Date: 22/05/2020
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Optimization Techniques (UMA035) Dr. Harish Garg Date: 22/05/2020
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Optimization Techniques (UMA034) Dr. Harish Garg Date: 22/05/2020
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Operations Research (PMC208) Dr. Harish Garg Date: 22/05/2020
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Probability & Statistics (PMC306) Dr. Harish Garg Date: 22/05/2020
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Research Methodology (DMC007) Dr. Harish Garg Date: 22/05/2020
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Research Methodology (PMA102) Dr. Harish Garg Date: 22/05/2020
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Statistical Methods & Algorithms (PCL105) Dr. Harish Garg Date: 22/05/2020
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Optimization Techniques (UMA031) Dr. Navdeep Kailey Date: 22/05/2020
1. Duality Theory
2. Sensitivity Analysis
3. Transportation Problem
4. Assignment Problem
5. Integer Linear Programming Problems
6. Network Analysis
7. Game Theory
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Graph theory and applications (UMA066) Dr. Satish kumar sharma Date: 22/05/2020
1. Planar garphs
2. Homeomorphic graphs, coloring in graphs
3. Chromatic partitioning, chromatic polynomial
4. 5-coloring theorem
5. Floyd-warshal algorithm
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Functional Analysis (PMC401) Dr. Sumit Chandok Date: 22/05/2020
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