3rd Semester Engineering Mathematics Syllabus of CTEVT Diploma

3rd Semester Engineering Mathematics Syllabus of CTEVT Diploma : 

Engineering Mathematics-III 3rd Semester Syllabus of CTEVT Diploma , Diploma in Computer Engineering (DCOM) Syllabus of Engineering Math PDF of third Semester.

This course consists of Partial derivative, Differential equations, Infinite series, Fourier series, and Elementary group theory necessary to develop mathematical background. 

3rd Semester Engineering Mathematics Syllabus of CTEVT Diploma : 

Unit 1 : Partial Derivatives [8 Hours]

1.1 Functions of more than one variables 

1.2 Partial derivative, partial differential coefficient. 

1.3 Partial derivative of first and higher order. 

1.4 Homogeneous function and Euler's Theorem on homogeneous functions. 

1.5 Composite function, 

1.6 Derivative of composite functions.(Total differential coefficient)

Unit 2 : Differential Equations [10 Hours]

2.1 Ordinary Differential Equations  

     -  Differential Equation and its order and degree.

      -  Differential Equations of first order and first degree, 

      - Differential Equations with separate variables,  

      - Homogeneous and exacted differential Equations

2.2  Partial Differential Equations 

     - Basic concepts, definition and formation  

     - General solution of linear PDF of first order (Pp + Qq = R                 form)

Unit 3 : Infinite Series [11 Hours]

     - Definitions of sequence and infinite series, 

     - Condition for convergence of an infinite series, 

     - Geometric series. 

     - Test of convergence. (p-test, D' alembert's ratio test, Cauchy              radical test or root test) 

     -Power series and its interval of convergence, 

     - Expansion of functions using Taylor's and Maclaurin's                       theorems.

Unit 4 : Fourier Series [8 Hours]

4.1 Periodic function, 

4.2 Even and odd function 

4.3 Trigonometric series 

4.4 Fourier series of the functions of period 2π, 

4.5 Euler's formula

Unit 5 : Elementary Group Theorem : 

Binary operation, Binary operation on sets and their properties. 

     - Definition of group 

    - Group whose elements are not number  

    - Finite, Infinite group and Abelian group 

    - Elementary properties of group. 

3rd Semester Engineering Mathematics Reference Book of CTEVT Diploma : 

1. Thomas and Finney, Calculus and Analytical Geometry, Narosa Publishing House, New Delhi, 1990. 2. E. Kreyszig, Advanced Engineering Mathematics, Wiley-Easter Publication, New Delhi, 1990. 

3. Chandrika Prasad, Mathematics for Engineer, Prasad Mudranalaya, Allahabad, 1996. 

4. E. Kreyszig,Advanced Engineering Mathematics, Wiley-Easter Publication, New Delhi, 1990. 

5. A.V. Oppenheim, Discrete-Time Signal Processing, Prentice Hall, India Limited, 1990. 

6. K. Ogata, Discrete-Time Control System, Prentice Hall, India Limited, 1993.