COURSE INFORMATION

Course Code: M201

Course Name: Mathematics-II

Contacts: 3L+1T

Credits: 4

COURSE OUTCOME

At the end of this course, the incumbent will be able to:

1. Remembering: Recall the earlier mathematical thoughts, such as idea of derivative, integration, ordinary differential equations.
2. Understanding: Exhibit the idea of ordinary differential equation of first and higher order. Recognize the concept of graph theory and Laplace transform.
3. Applying: Apply the knowledge of Laplace transform to reduce the complexity of differential equation. Use different graphical algorithm to find optimal solutions.
4. Analyzing: Analyze the ideas of mentioned mathematical tools so that it can be implemented to real time engineering problems
5. Evaluating: Justify and make gradation of above mentioned mathematical tools and determine the right approach to solve multidisciplinary engineering problems.
6. Creating: Build up logical and analytical skills to create a new idea appreciated by academics, research & emerging trends in industry.

PREREQUISITES

To understand this course, the incumbentmust have idea of:

§  Elementary concepts of improper integrals

§  Basic ideas on differential equation.

SYLLABI

BEYOND SYLLABI COVERAGE

Difference between 1st order 1st degree linear and non-linear equations should be highlighted.

Classification of different forms of higher order higher degree linear equations should be included in Module II.

LECTURE PLAN

M201

LECTURE NOTE

LECTURE  NOTE  BEYOND SYLLABUS

Lecture Note(Beyond  Syllabus)

HOMEWORK/ASSIGNMENT

TEXT

1.      Graph Theory: N. Deo (Prentice-Hall of India)

2.      Advanced Engineering Mathematics, Erwin Kreyszig, (Wiley Eastern)

3.      Calculus: Strauss, Bradley and Smith (3PrdP edition, Pearson Education)

4.      An Introduction to Differential Equations, R.K. Ghosh and K.C.Maity ( New Central Book Agency )

1. Engineering Mathematics, Volume -1 by B.K.PAL & K.DAS (U.N.DHAR)

REFERENCE

1.      A first course at Graph Theory: J. Clark and D. A. Holton (Allied Publishers LTD)

2.      Graph Theory: V. K. Balakrishnan, (Schaum’s Outline, TMH)

3.      Engineering Mathematics: B.S. Grewal (S. Chand & Co.)

1. Engineering Mathematics by S.KAR & S. KARMAKAR (Tata McGraw Hill)