# Previous year question paper for Math (Diploma Electronics and Communication Engineering 1st-2nd)

## Applied Mathematics

### Previous year question paper with solutions for Applied Mathematics from 2014 to 2018

Our website provides solved previous year question paper for Applied Mathematics from 2014 to 2018. Doing preparation from the previous year question paper helps you to get good marks in exams. From our Math question paper bank, students can download solved previous year question paper. The solutions to these previous year question paper are very easy to understand.

1. Differential Calculus (30 hrs)

1.1 Definition of function; Concept of limits. Lt x

n

- a

n

, Four standard limits x → a ---------- x - a

Lt Sin x Lt a

x

- 1 Lt (1+x)1/x

x → 0 -------- , x→ 0 --------, x→

0

x x

1.2 Differentiation by definition of xn

, sin x, cos x, tan x, ex

, logax only

1.3 Differentiation of sum, product and quotient of functions. Differentiation of

function of a function.

1.4 Differentiation of inverse trigonometrical functions, Logarithmic

differentiation, Exponential differentiation, Successive differentiation (upto

third order only).

1.5 Applications:

(a) Maxima and minima

(b) Equation of tangent and normal to a curve (for explicit functions only) – Simple problems only

2. Integral Calculus (25 hrs)

2.1 Integration as inverse operation of differentiation

2.2 Simple standard integrals and related problems

2.3 Simple integration by substitution, by parts and by partial fractions (for

45

linear factors only)

2.4 Evaluation of definite integrals (simple problems)- ï° /2 ï° /2 ï° /2

Evaluation of ïƒ² Sinn x dx, ïƒ² Cosn x dx , ïƒ² Sinm

x Cosn x dx

0 0 0

using formulae without proof (m and n being positive integers only)

2.5 Numerical integration by Simpson’s Rule and Trapezoidal Rule

(simple problems only)

3 Ordinary Differential Equations (10 hrs)

3.1. Definition, order, degree, linear and non-linear differential equations

3.2 Formation of differential equations (upto second order)

3.3. Solution of first order differential equations by variable separable method only

4. Statistics (15hrs)

4.1 Measures of Central Tendency: Mean, Median, Mode

4.2 Measures of Dispersion: Mean deviation, Standard deviation

4.3 Co-efficient of rank correlation

2018
2017
2016
2015
2014