Syllabus for the 17301 Applied Mathematics

Topic-1 Applications of Derivative
Specific objectives :
¾ Find slope, curvature, maximum and minimum value of functions
related to different engineering applications.
---- Examples for finding slope , equations of tangent and normal to
the curve
---- Maxima and minima.
---- Radius of curvature.

Topic-2 Integral Calculus
2.1 Integration ------------------------- 20
Specific objectives :
¾ Integrate function using different method.
---- Definition of integration as anti derivative, rules of integration.
---- Integration of standard functions
---- Methods of integration
Integration by substitution.
Integration by partial fractions.
Integration by parts and generalized rule by parts.

2.2 Definite Integrals ---------------------------------- 16
Specific objectives :
¾ Solve problems on definite integrals using the properties.
---- Definite integral- Definition, examples.
---- Properties of definite integrals without proof and simple
examples.

2.3 Application of Definite Integrals -----------------------08
Specific objectives :
¾ Find area.
---- Area under a curve.
---- Area between two curves.

Topic 3 - Differential Equation.
3.1 Differential equation
Specific objectives :
¾ Solve the differential equation of first order and first degree
¾ Solve different engineering problems using differential equation
---- Differential equation- Definition, order and degree of a
differential equation. Formation of differential equation
containing single constant.
---- Solution of differential equation of first order and first degree
for following types
Variable separable form,
Equation reducible to variable separable form.
Linear differential equation.
Homogeneous differential equation.
Exact differential equation.

Topic 4 - Probability
4.1 Probability
Specific objectives : ---------------------------- 08
¾ Solve different engineering problems related to probability process.
---- Definition of random experiment, sample space, event,
occurrence of event and types of event (impossible, mutually
exclusive, exhaustive, equally likely)
---- Definition of probability, addition and multiplication theorems of
probability.

4.2 Probability Distribution ---------------------- 12
---- Binomial distribution
---- Poisson’s Distribution
---- Normal distribution