Book Details

Applied Mathematics

Applied Mathematics

Published by uLektz

Course Code : ULZPT0062
Author : uLektz
University : General for All University
Regulation : 2015
Categories : Engineering
Format : ico_bookePUB3 (DRM Protected)
Type :

eBook

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Description :Applied Mathematics of ULZPT0062 covers the latest syllabus prescribed by General for All University for regulation 2015. Author: uLektz, Published by uLektz Learning Solutions Private Limited.

Note : No printed book. Only ebook. Access eBook using uLektz apps for Android, iOS and Windows Desktop PC.

Topics
UNIT I PROBABILITY DISTRIBUTION-I

1.1 RANDOM VARIABLE: Definition of Random variable – Types –Probability function – Probability density function. Simple Problems.

1.2 MATHEMATICAL EXPECTATION: Mathematical Expectation of discrete random variable, mean and variance. Simple Problems.

1.3 BINOMIAL DISTRIBUTION: Definition Binomial distribution P (X = x) = nCx px qn–x where x = 0, 1, 2, ......... Statement only. Expression for mean and variance. Simple Problems.

UNIT II PROBABILITY DISTRIBUTION II

2.1 Poisson distribution: Definition of poisson distribution

2.2 Normal Distribution: Definition of Normal and Standard normal distribution-statement only. Constants of normal distribution (results only) - Properties of normal distribution -Simple problems using the table of standard normal distribution.

2.3 Curve fitting: Fitting of straight line using least square method (results only simple problems.

UNIT III APPLICATION OF DIFFERENTIATION

3.1 VELOCITY AND ACCELERATION

3.2 TANGENT AND NORMAL: Tangent and Normal – Simple Problems.

3.3 MAXIMA AND MINIMA: Definition of increasing and decreasing functions and turning points. Maxima and Minima of single variable only – Simple Problems.

UNIT IV APPLICATION OF Integration-I

4.1 AREA AND VOLUME

4.2 First Order Differential Equation: Solution of first order variable separable type differential equation – Simple problems.

4.3 Linear Type Differential Equation: Solution of linear differential equation – Simple problems

UNIT V APPLICATION OF INTEGRATION-II

5.1 Solution of second order differential equations

5.2 SECOND ORDER DIFFERENTIAL EQUATION – II: Solution of second order differential equations

5.3 SECOND ORDER DIFFERENTIAL EQUATION – III: Solution of second order differential equations

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