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CSE - Centurion University

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THIRD SEMESTER<br />

BSMA2201 MATHEMATICS-III (3-1-0)<br />

MODULE-I (15 Hours)<br />

Partial Differential Equation of First Order, Linear and Non-linear Partial Differential Equations,<br />

Charpit’s Method, Homogeneous and Non-homogeneous Linear Partial Differential Equations with<br />

Constant Coefficients, Cauchy Type Differential Equation, Solution of Second Order Partial<br />

Differential Equation.<br />

MODULE-II (15 Hours)<br />

Complex Analysis: Analytic Function , Cauchy-Riemann Equations, Laplace Equation, Harmonic<br />

Function, Linear Fractional Transformation , Line Integral in the Complex plane, Cauchy’s Integral<br />

Theorem, Cauchy’s Integral Formula, Derivatives of Analytic Function.<br />

MODULE-III (10 Hours)<br />

Power Series,Taylor’s Series, Maclaurin Series, Laurent’s Series, Singularities and Zeroes, Residue<br />

Theorem, Residue Integration Method, Evaluation of Real Integrals.<br />

Text Books:<br />

1) Higher Engineering Mathematics by B.V. Raman<br />

Publisher: TMH<br />

Chapters : 18(18.1 to 18.8, 18.10)<br />

2) Advanced Engineering Mathematics by E. Kreyszig<br />

Publisher: Johnwilley & Sons Inc-8 th Edition<br />

Chapters : 12 (12.1 to 12.4, 12.9) ; 13, 14 (14.2,14.4) & 15.<br />

Reference Books:<br />

1) Advanced Engineering Mathematics by P.V. O’Neil<br />

Publisher: Thomson<br />

2) Fundamentals of Complex Analysis(with Applications to Engineering and Science) by E.B.<br />

Saff & A.D. Snider<br />

Publisher: Pearson<br />

PCCS2102 DATABASE MANAGEMENT SYSTEM (3-1-0)<br />

Module1: (12 Hrs)<br />

Introduction to database Systems, Basic concepts &Definitions, Data Dictionary, DBA, Fileoriented<br />

system vs. Database System, Database Language.<br />

Database System Architecture-Schemas, Sub Schemas & Instances, 3-level database<br />

architecture, Data Abstraction, Data Independence, Mappings, Structure, Components &<br />

functions of DBMS, Data models, Mapping E-R model to Relational, Network and Object<br />

Oriented Data models, types of Database systems.<br />

3

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