See Our team

Wondering how we keep quality?

Got unsolved questions?

Ask Questions

Engineering
GATE
CBSE
NCERT
Psychology
English
Computer
Constitution
Astrology
Yoga
Economics
Physics
Biology
Electronics
Microprocessor
Career
Interview
Anatomy
Botany

You are here:Open notes-->Syllabus-->VTU-syllabus-2010-Mathematics-common-to-all-branches-10MAT31-Engineering

**VTU syllabus 2010 [Mathematics] common to all branches [10MAT31] Engineering**

**ENGINEERING MATHEMATICS – III**

**CODE: 10 MAT 31 IA Marks: 25**

**Hrs/Week: 04 Exam Hrs: 03**

**Total Hrs: 52 Exam**

**Marks:100**

**PART-A**

Unit-I: FOURIER SERIES

Convergence and divergence of infinite series of positive terms,

definition and illustrative examples*

Periodic functions, Dirichlet’s conditions, Fourier series of

periodic functions of period and arbitrary period, half range

Fourier series. Complex form of Fourier Series. Practical

harmonic analysis. [7 hours]

Unit-II: FOURIER TRANSFORMS

Infinite Fourier transform, Fourier Sine and Cosine transforms,

properties, Inverse transforms

[6 hours]

Unit-III: APPLICATIONS OF PDE

Various possible solutions of one dimensional wave and heat

equations, two dimensional Laplace’s equation by the method of

separation of variables, Solution of all these equations with

specified boundary conditions. D’Alembert’s solution of one

dimensional wave equation.

[6 hours]

Unit-IV: CURVE FITTING AND OPTIMIZATION

Curve fitting by the method of least squares- Fitting of curves of

the form y = ax+b, y =a x2 + b x + c, , y

bx b

y = a e = ax

2

Optimization: Linear programming, mathematical formulation

of linear programming problem (LPP), Graphical method and

simplex method.

[7 hours]

**PART-B**

Unit-V: NUMERICAL METHODS - 1

Numerical Solution of algebraic and transcendental equations:

Regula-falsi method, Newton - Raphson method. Iterative

methods of solution of a system of equations: Gauss-seidel and

Relaxation methods. Largest eigen value and the corresponding

eigen vector by Rayleigh’s power method.

[6 hours]

Unit-VI: NUMERICAL METHODS – 2

Finite differences: Forward and backward differences, Newton’s

forward and backward interpolation formulae. Divided

differences - Newton’s divided difference formula, Lagrange’s

interpolation formula and inverse interpolation formula.

Numerical integration: Simpson’s one-third, three-eighth and

Weddle’s rules (All formulae/rules without proof)

[7 hours]

Unit-VII: NUMERICAL METHODS – 3

Numerical solutions of PDE – finite difference approximation to

derivatives, Numerical solution of two dimensional Laplace’s

equation, one dimensional heat and wave equations

[7 hours]

3

Unit-VIII: DIFFERENCE EQUATIONS AND ZTRANSFORMS

Difference equations: Basic definition; Z-transforms –

definition, standard Z-transforms, damping rule, shifting rule,

initial value and final value theorems. Inverse Z-transform.

Application of Z-transforms to solve difference equations.

[6 hours]

Note: * In the case of illustrative examples, questions are not

to be set.

**Text Books:**

1. B.S. Grewal, Higher Engineering Mathematics, Latest

edition, Khanna Publishers

2. Erwin Kreyszig, Advanced Engineering Mathematics,

Latest edition, Wiley Publications.

**Reference Book:**

1. B.V. Ramana, Higher Engineering Mathematics, Latest

edition, Tata Mc. Graw Hill Publications.

2. Peter V. O’Neil, Engineering Mathematics, CENGAGE

Learning India Pvt Ltd.Publishers

BUILDING MATERIALS AND CONSTRUCTION TECHNOLOGY

(COMMON TO CV/TR/CTM)

Sub Code : 10 CV 32 IA Marks : 25

Hrs/ Week : 04 Exam Hours : 03

Total Hrs. : 52 Exam Marks : 100

Part-A

# Previous year question paper

https://drive.google.com/file/d/0B9vIYsUygp6ETk14X0M2X3pyYUk/viewVTU engineering mathematics 3 question paper june/july 09

engineering mathematics 3 vtu previous question papers june/july_\ 08

# Notes from other sources

## Use Me ?