My Profile
Active Members
TodayLast 7 Days
more...
Awards & Gifts
Online Exams
Fresher Jobs
Our fresher job section is exclusively for fresh graduates! Find jobs for freshers in major Indian
cities including Bangalore, Chennai, Hyderabad, Pune or Kochi
Resources
Find educational articles, blogs, discussion threads and other resources.
Colleges
Find details about any college in India or search for courses.
|
Resources » Articles/Knowledge Sharing » Education »
IETE - Syllabi DIPIETE Examination - DC23/DE23 MATHEMATICS - II
|
1. Complex Numbers 10 hours
1.1 Complex numbers.
1.2 Representation of complex numbers in two dimensions (Argand diagram).
1.3 Concept of i and usual notation for complex number (z = a + ib, , a, b reals).
1.4 Real and imaginary parts of a complex number.
1.5 Conjugate of a complex number.
1.6 Integral powers of complex number.
1.7 Representation of complex number in Cartesian, polar and exponential form.
1.8 Conversion of one form of complex numbers to another form.
1.9 Addition, subtractions, multiplication and division of complex numbers.
1.10 Modulus and argument of complex number.
1.11 De Movire’s theorem and roots of complex number.
I [10] OR II [2]
2. Vector Algebra 10 hours
2.1 Concept of a vector.
2.2 Representation of a point by a vector.
2.3 Vectors in Cartesian and polar form.
2.4 Arithmetic operations on vectors : addition, subtractions, scalar multiplication.
2.5 Scalar and vector product of two vectors.
2.6 Applications of vectors in mechanics and electromagnetism.
I [1] OR II [4]
3. Matrices and Determinants 16 hours
3.1 Determinants (upto 3rd order only).
3.2 Sarus’ diagram.
3.3 Row and Column expansion.
3.4 Properties of determinant.
3.5 Application of determinants to solutions of linear equations.
3.6 Cramer’s rule.
3.7 Matrices.
3.8 Algebraic structures on matrices.
3.9 Properties of addition, multiplication and scalar multiplication of matrices.
3.10 Some special matrices Symmetric, skew symmetric, hermitian and skew hermitian matrices.
3.11 Solution of linear equations by matrix method.
3.12 Elementary matrices.
3.13 Reduction of a matrix to triangular form.
3.14 Adjoints and inverses.
3.15 Characteristic equation.
3.16 Cayley Hamilton Theorem (without proof).
3.17 Application of Cayley Hamilton theorem in computing inverse of a square matrix.
I [2, 3] OR II [7]
4. Introduction to Fourier Series 8 hours
4.1 Periodic functions.
4.2 Convergence of Fourier series.
4.3 Even and Odd functions.
4.4 Equation of waves.
4.5 Determination of Fourier coefficients of periodic functions.
I [9]
5. Laplace transform 8 hours
5.1 Introduction to Laplace transform.
5.2 Elementary Laplace transforms.
5.3 Inverse Laplace transform.
I [8] OR II [11]
6. Differential equations of Second order 8 hours
6.1 Solutions of differential equations of second order having Sin ax, Cos ax on the right hand side of the equation.
6.2 Homogeneous linear equations with constant coefficients.
6.3 Applications of Laplace transforms in solving second order differential equations.
I [7] OR II [9]
Text Book
I. H K Dass, ‘ Applied Mathematics for Polytechnics’, CBS Publishers & Distributors.
OR
II. R S L Srivastava, ‘Engineering Mathematics’, Vol-I, Tata McGraw-Hill Public Co.Ltd.,
Reference Book
1. B S Grewal, ‘Elementary Engineering Mathematics’ Khanna Publishers.
|
Responses
|
No responses found. Be the first to respond and make money from revenue sharing program.
|
|
Advertise Here
Watch TV Channels
|