COMPUTER MATHEMATICS SYLLABUS

THIRD SEMESTER COMPUTER SCIENCE SYLLABUS 

DIPLOMA COMPUTER SCIENCE COMPUTER  MATHEMATICS REVISION-06 SYLLABUS

UNIT-1

1.UNDERSTANDING MATRIX AND SOLUTIONS OF LINEAR SIMULTANEOUS EQUATIONS

*Illustrate the solution to find Rank of Matrix

*Illustrate inverse of matrix

*Illustrate crout’s method

*Illustrate Back Substitution method

*Illustrate Gauss Elimination method

*Illustrate Gauss-Jordan Elimination method

*Illustrate Gauss Jacobi iteration method

*Illustrate Gauss Seidel iteration method

*Illustrate relaxation method

UNIT-2

1.UNDERSTANDING EIGEN VALUES AND EIGEN VECTORS

*Explain Eigen values and Eigen vectors

*Illustrate iterative methods for determining biggest eigen value

*Illustrate Jacobi’s Method

2.UNDERSTANDING ALGEBRAIC AND TRANSCENDENTAL EQUATIONS

*Explain Error in numerical computation

*Illustrate iteration method

*Illustrate  Bisection method

*Illustrate  Regula-falsi method

*Illustrate Newton raphson method

*Illustrate Homer’s method

UNIT-3

1.UNDERSTANDING ORDINARY DIFFERENTIAL EQUATIONS

*Illustrate Tayler’s series  method

*Illustrate Picard’s methods

*Illustrate Euler’s method

*Illustrate Modified Euler’s method

*Illustrate Runga Kutta method

UNIT-4

1.UNDERSTANDING SET & GRAPH THEORY

*Explain sets

*Discuss Venn diagram

*Discuss Operation on sets

*Explain Properties of set operation

*Explain Basic laws of set algebra

*Discuss Venn diagram of set operation

*Define and explain Relations

*Explain Properties of relation

*Understanding Operation on relation

*Discuss Equivalences relations

*Explain Representation of relations

*Define and explain Functions

*Discuss Types of Functions

*Discuss Inverse functions

*Explain Composition of functions

2.UNDERSTANDING GRAPH

*Discuss basic terminology

*Understand Incidents and degree

*Explain Paths,reachability and connectedness

*Explain Vertex connectivity

*Discuss Special graph

*Explain Matrix  representation of graph

*Explain Undirected and Directed graph

*Understand Incidents  matrix

*Explain Path matrix

*Understand incidence matrix of digraph

UNIT-5

UNDERSTANDING GRAPH OPERATION

*Discuss deleting a vertex

*Discuss deleting an edge

*Discuss complement a graph

*Discuss Union of two graph

*Explain Inter section of graph

*Explain Fusion

*Explain planarity

*Explain Eulerian graph

*Discuss Hamiltonian graph

*Discuss Chromatic numbers

UNDERSTANDING TREE

*Understand Trees and their properties

*Understand spnning tree

*Understand BFS algorithms

*Understand DFS alogorithm

*Explain Minimal spanning tree

*Illustrate Kruskal’s algorithm

*Discuss Tree traversal-pre-order,in-order,post-order.

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