Applied Mathematics – II Electrical Eng 3rd Sem Syllabus for Diploma BTEUP 2017

Applied Mathematics – II detail BTEUP Diploma syllabus for Electrical Engineering, effective from 2017 is collected from BTEUP 2017 Syllabus official website and presented for diploma students. The course details such as exam duration, Teaching Hr/week, Practical Hr/week, Total Marks, internal marks, theory marks, duration and credits do visit complete sem subjects post given below. The syllabus PDFs can be downloaded from official website.

For all other electrical eng 3rd sem bteup diploma syllabus 2017 you can visit Electrical Eng 3rd Sem BTEUP Diploma Syllabus 2017 Subjects. The detail syllabus for applied mathematics – ii is as follows.

Rationale:

The study of mathematics is an important requirement for the understanding and development of concepts of Engg.The purpose of teaching mathematics to the Diploma Engg. students is to give them basic foundation and understanding of mathematics so that they can use the same for the understanding of engineering subjects and their advancements.

DETAILED CONTENTS

1. MATRICES :(12 Marks)

1. Algebra of Matrices, Inverse :

Addition, Multiplication of matrices, Null matrix and a unit matrix, Square matrix, Symmetric, Skew symmetric, Hermitian, Skew hermition, Orthagonal, Unitary, diagonal and Triangular matrix, Determinant of a matrix.
Definition and Computation of inverse of a matrix.

2. Elementry Row/Column Transformation :

Meaning and use in computing inverse and rank of a matrix.

3. Linear Dependence, Rank of a Matrix :

Linear dependence/independence of vectors, Definition and computation of a rank of matrix. Computing rank through determinants, Elementary row transformation and through the concept of a set of independent vectors,Consistency of equations.

4. Eigen Pairs, Cayley-Hamilton Theorem :

Definition and evaluation of eign values and eign vectors of a matrix of order two and three, Cayley-Hamilton theorem (without Proof) and its verification, Use in finding inverse and powers of a matrix.

2. DIFFERENTIAL CALCULUS :(10 Marks)

For complete syllabus and results, class timetable and more pls download iStudy Syllabus App. It’s a lightweight, easy to use, no images, no pdfs platform to make students life easier.

3. DIFFERENTIAL EQUATION :(10 Marks)

1. Formation, Order, Degree, Types, Solution : Formation of differential equations through physical, geometrical, mechanical and electrical considerations, Order, Degree of a differential equation, Linear, Nonlinear equation.
2. First Order Equations : Variable seperable, equations reducible to seperable forms, Homogeneous equtions, equtions reducible to homogeneous forms, Linear and Bernoulli form exact equation and their solutions.
3. Higher Order Linear Equation : Property of solution, Linear differential equation with constant coefficients (PI for X=eax, Sin ax, Cos ax, Xn, eaxV, XV.
4. Simple Applications : LCR circuit, Motion under gravity, Newton’s law of cooling, radioactive decay, Population growth, Force vibration of a mass point attached to spring with and without damping effect. Equivalence of electrical and mechanical system

4. INTEGRAL CALCULUS – II: (12 Marks)

1. Beta and Gamma Functions : Definition, Use, Relation between the two, their use in evaluating integrals.
2. Fourier Series : Fourier series of f(x),-n<x<n, Odd and even function,Half range series.
3. Laplace Transform : Definition, Basic theorem and properties, Unit step and Periodic functions, inverse laplace transform, Solution of ordinary differential equations.

5. PROBABILITY AND STATISTICS : (6 Marks)

For complete syllabus and results, class timetable and more pls download iStudy Syllabus App. It’s a lightweight, easy to use, no images, no pdfs platform to make students life easier.

For detail syllabus of all other subjects of BE Electrical Eng, effective from 2017 do visit Electrical Eng 3rd Sem BTEUP syllabus for 2017.

Dont forget to download iStudy Syllabus App for latest syllabus and results, class timetable and more.