Biju Patnaik University of Technology, Odisha, Computer Engineering Semester 1, Mathematics-I Syllabus

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Unit - 1 Partial differentiation

Module 1

Partial differentiation

1.1 Asymptote

1.2 Curvature Cartesian and polar

1.3 Gamma Beta function

1.4 Partial differentiation

1.5 Maxima and Minima for function of two variables

Unit - 2 Differential Equation

Module – 2

Differential Equation

2.1 First order differential equations

2.2 Exact differential equation

2.3 Linear differential equation

2.4 Bernoulli’s equation application to Electrical circuits

Unit - 3 Linear differential equation

3.1 ATOMIC EXCITATION AND ENERGY STATES

3.2 INTERACTION OF EXTERNAL ENERGY WITH ATOMIC ENERGY STATES

3.3 ABSORPTION SPONTANEOUS EMISSION AND STIMULATED EMISSION

3.4 POPULATION INVERSION

3.5 PUMPING MECHANISM OPTICAL PUMPING ELECTRICAL PUMPING

3.6 COMPONENTS OF LASER SYSTEM ACTIVE MEDIUM POPULATION INVERSION

3.7 RUBY LASER

3.8 HELIUMNEON LASER

3.9 SEMICONDUCTOR LASER BASIC CONCEPTS AND ENGINEERING APPLICATION ONLY

3.10 STRUCTURE OF OPTICAL FIBRE PRINCIPLE OF PROPAGATION

3.11 NUMERICAL APERTURE AND ACCEPTANCE ANGLE

3.12 CLASSIFICATION OF OPTICAL FIBRE SINGLE MODE AND MULTIMODE SIN AND GRIN

3.13 FOCL FIBER OPTIC COMMUNICATION LINK

3.14 SOLID STATE PHYSICS CRYSTALLINE AND AMORPHOUS SOLID

3.15 UNIT CELL LATTICE PARAMETER

3.16 MILLER INDICES

3.17 RECIPROCAL LATTICE ONLY CONCEPT

3.18 BRAGG’S LAW

3.19 CONCEPT OF FERMIONS AND BOSONS AND THEIR DISTRIBUTION FUNCTIONS

3.20 BAND THEORY OF SOLIDS QUALITATIVE

3.21 CLASSIFICATION OF MATERIALS METALS SEMICONDUCTOR AND INSULATOR IN TERMS OF BAND THEORY.

Unit - 4 Differential equations

Unit – 4

Differential equations

4.1 Series solution of differential equations

4.2 Power series method

4.3 Legendre equation and Legendre polynomial

4.4 Bessel’s function and its properties

Unit - 5 Laplace transformation

Module – 5

Laplace transformation

5.1 Laplace transformation and its use in getting solution to differential equations

5.2 Convolution

5.3 Integral Equations

Download CSE Sem 1 syllabus pdf
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Other Subjects of Semester-1
Physics
Chemistry
Communicative english
Basic civil engineering
Basic electrical engineering
Basic mechanical engineering
Basic electronics engineering
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