## Mathematical Modeling & Graph Theory Notes PDF

Date: 3rd Feb 2023

In these “Mathematical Modeling & Graph Theory Notes PDF”, we will study how to model physical problems using differential equations and solve them. Also, the use of Computer Algebra Systems (CAS) by which the listed problems can be solved both numerically and analytically.

We have provided multiple complete Mathematical Modeling & Graph Theory Notes PDF for any university student of BCA, MCA, B.Sc, B.Tech CSE, M.Tech branch to enhance more knowledge about the subject and to score better marks in the exam. Students can easily make use of all these Mathematical Modeling & Graph Theory Notes PDF by downloading them.

Topics in our Mathematical Modeling & Graph Theory Notes PDF

The topics we will cover in these Mathematical Modeling & Graph Theory Notes PDF will be taken from the following list:

Power Series Solutions: Power series solution of a differential equation about an ordinary point, Solution about a regular singular point, The method of Frobenius, Legendre’s, and Bessel’s equations.

Laplace Transforms: Laplace transform and inverse transform, Application to initial value problem up to second order.

Monte Carlo Simulation: Monte Carlo simulation modeling: Simulating deterministic behavior (area under a curve, volume under a surface); Generating random numbers: Middle square method, Linear congruence; Queuing models: Harbor system, Morning rush hour; Overview of optimization modeling; Linear programming model: Geometric solution, Algebraic solution, Simplex method, Sensitivity analysis.

Graph Theory: Graphs, Diagraphs, Networks and subgraphs, Vertex degree, Paths and cycles, Regular and bipartite graphs, Four cube problem, Social networks, Exploring and traveling, Eulerian and Hamiltonian graphs, Applications to dominoes, Diagram tracing puzzles, Knight’s tour problem, Gray codes. Mathematical Modeling & Graph Theory Notes
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### Mathematical Modeling & Graph Theory Reference Books List

We have listed the best Mathematical Modeling & Graph Theory Reference Books that can help in your Mathematical Modeling & Graph Theory exam preparation:

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### Maths Notes PDF

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Author: Delhi University

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