Maths 3 MCQ’s
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Maths 3 MCQ's
 Laplace Transform (All Branches)
 Complex Variable and Conformal Mapping (All Branches )
 Fourier Series (Comps.Mech/Civil,EXTC/Electrical/Electronic)
 Correlation and Regressions (Comps , Mech/Civil/Automobile/Production)
 Curve Fitting (Comps , Mech/Civil/Automobile/Production)
 Complex Integration (Mech/Civil/Automobile/Production)
 Laurent Series (Mech/Civil/Automobile/Production)
 Fourier Transform (EXTC/Electrical/Electronic)
 Vector Differentiation (EXTC/Electrical/Electronic)
 Vector Integration (EXTC/Electrical/Electronic)
 Set Theory ( IT )
 Functions ( IT )
 Permutation and Combination ( IT )
Engineering Maths 3 MCQ’s
Engineering Maths 3 is the semester 3 subject of computer engineering in Mumbai University. Course objectives for the subject Applied MathematicsIII to understand the concept of complex variables, CR equations, harmonic functions and its conjugate and mapping in complex plane.
To learn the complex mapping, standard mappings, cross ratios and fixed point. To learn the Laplace Transform, Inverse Laplace Transform of various functions, its application and Ztransform. To understand the concept of Fourier series, its complex form and enhance the problem solving skill. Course outcomes for the subject Applied MathematicsIII On successful completion of course learner will be able to understand complex variable theory, application of harmonic conjugate to get orthogonal trajectories and analytic function. Plot the image of the curve by a complex transformation from zplane to wplane. Expand the periodic function by using Fourier series and complex form of Fourier series. Understand the concept of Laplace transform and inverse Laplace transform of various functions and its application to solve ordinary differential equations. Apply the concept of Z transformation and its inverse of the given sequence. Apply the concept of Correlation and Regression to the engineering problems.
Module Laplace Transform consists of the following subtopic Laplace Transform of Standard Functions: Introduction, Definition of Laplace transform, Laplace transform of at 1, e n sin(at), cos(at),sinh(at),cosh(at),t erf (t), Heaviside unit step, diracdelta function, LT of periodic function. Properties of Laplace Transform: Linearity, first shifting property, second shifting property, multiplication by n t, division by t , Laplace Transform of derivatives and integrals, change of scale property. Module Inverse Laplace Transform consists of the following subtopic Inverse Laplace Transform by Partial fraction method, Convolution theorem. Application to solve initial and boundary value problem involving ordinary differential equations with one dependent variable and constant coefficients. Module Fourier Series consists of the following subtopic Dirichlet‟s conditions, Fourier series of periodic functions with period 2p and 2L, Fourier series for even and odd functions. Half range sine and cosine Fourier series, Parsevel‟s identities. Complex form of Fourier series, Orthogonal and Orthonormal set of functions. Module Complex Variable & mapping consists of the following subtopic Functions of a complex variable, Analytic functions, Cauchy Riemann equations in Cartesian coordinates & Polar coordinates. Harmonic functions, Analytic method and Milne Thomson methods to find f(z), Orthogonal trajectories. Mapping: Conformal mapping, bilinear transformations, cross ratio, fixed points, bilinear transformation of straight lines and circles. Module Ztransform consists of the following subtopic Ztransform of standard functions such as Z(an ), Z(n p ).Properties of Ztransform :Linearity, Change of scale, Shifting property, Multiplication of K, Initial and final value, Convolution theorem. Inverse Z transform: Binomial Expansion and Method of Partial fraction. Module Correlation & regression, Curve Fitting consists of the following subtopic Scattered diagrams, Karl Pearson‟s coefficient of correlation, covariance, Spearman‟s Rank correlation(nonrepeated and repeated ranks). Regression coefficient & Lines of Regression. Fitting of curves: Least square method. Fitting of the straight line y = a + bx ,parabolic curve 2 y = a + bx + cx ,& exponential curve x y = ab.
Suggested texts books for the subject Applied MathematicsIII by Mumbai university is as follows Higher Engineering Mathematics by Grewal B. S. 38th edition, Khanna Publication 2005. Advanced Engineering Mathematics by Kreyszig E. 9th edition, John Wiley. A Text Book of Applied Mathematics Vol. I & II by P.N.Wartilar & J.N.Wartikar, Pune, Vidyarthi Griha Prakashan., Pune. Suggested reference books for the subject Applied MathematicsIII by Mumbai university is as follows Advanced Engg. Mathematics by C. Ray Wylie & Louis Barrett.TMH International Edition. Mathematical Methods of Science and Engineering by Kanti B. Datta, Cengage Learning. Integral Transforms and their Engineering Applications by Dr. B. B. Singh, Synergy Knowledgewar. Laplace Transforms by Murry R. Spieget, Schaun‟s out line seriesMcGraw Hill Publication.
Branches Covered ( Comps , Mechanical , Civil , EXTC , Electrical , Electronics , IT )
Handmade Notes : Notes are Brilliant , Easy Language , East to understand ( Student Feedback )
Exam ke Pehle Notes ek baar Dekhlo revision aise hi ho jata hai
 This series include
1) Laplace transform
2) inverse Laplace Transform
3) Complex Variable
3) Fourier Series
5) Conformal Mapping
6) Correlation  7) Z transform
8) Regression  9)Partial Differentiation
 10)Complex Integration
 11) Vectors
 12)Probability
 13) Set theory
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Course Features
 Lectures 13
 Quizzes 0
 Duration 50 hours
 Skill level All levels
 Language English
 Students 61
 Certificate No
 Assessments Yes