CSC301: Applied Mathematics -III Syllabus for CS 3rd Sem 2017 Pattern Mumbai University

Applied Mathematics -III detailed syllabus scheme for Computer Engineering (CS), 2017 regulation has been taken from the University of Mumbai official website and presented for the Bachelor of Engineering students. For Course Code, Course Title, Test 1, Test 2, Avg, End Sem Exam, Team Work, Practical, Oral, Total, and other information, do visit full semester subjects post given below.

For all other Mumbai University Computer Engineering 3rd Sem Syllabus 2017 Pattern, do visit CS 3rd Sem 2017 Pattern Scheme. The detailed syllabus scheme for applied mathematics -iii is as follows.

Applied Mathematics -III Syllabus for Computer Engineering SE 3rd Sem 2017 Pattern Mumbai University

Course Objectives:

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
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Course Outcomes:

On successful completion of course learner will be able to:

1. Understand complex variable theory, application of harmonic conjugate to get orthogonal trajectories and analytic function.
2. Plot the image of the curve by a complex transformation from z-plane to w-plane.
3. Expand the periodic function by using Fourier series and complex form of Fourier series.
4. Understand the concept of Laplace transform and inverse Laplace transform of various functions and its application to solve ordinary differential equations.
5. Apply the concept of Z- transformation and its inverse of the given sequence.
6. Apply the concept of Correlation and Regression to the engineering problems.

Module 1

Laplace Transform 09

1. Laplace Transform of Standard Functions: Introduction, Definition of Laplace transform, Laplace transform of (Follow the equation from pdf) Heavi-side unit step, dirac-delta function, LT of periodic function.
2. Properties of Laplace Transform: Linearity, first shifting property, second shifting property, multiplication by tn , division by t, Laplace Transform of derivatives and integrals, change of scale property. (without proof.

Module 2

Inverse Laplace Transform 08

1. Inverse Laplace Transform by Partial fraction method, Convolution theorem
2. Application to solve initial and boundary value problem involving ordinary differential equations with one dependent variable and constant coefficients.

Module 3

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdf platform to make students’s lives easier.
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Module 4

Complex Variable & mapping 09

1. Functions of a complex variable, Analytic functions, Cauchy-Riemann equations in Cartesian co-ordinates & Polar co-ordinates.
2. Harmonic functions, Analytic method and Milne Thomson methods to find fz, Orthogonal trajectories.
3. Mapping: Conformal mapping, bilinear transformations, cross ratio, fixed points, bilinear transformation of straight lines and circles.

Module 5

Z-transform 06

1. Z-transform of standard functions such as Z(an), Z(np).
2. Properties of Z-transform :Linearity, Change of scale, Shifting property, Multiplication of K, Initial and final value, Convolution theorem ( without proof.
3. Inverse Z transform: Binomial Expansion and Method of Partial fraction

Module 6

Correlation & regression, Curve Fitting 10

1. Scattered diagrams, Karl Pearsons coefficient of correlation, covariance, Spearmans Rank correlation(non-repeated and repeated ranks.
2. Regression coefficient & Lines of Regression.
3. Fitting of curves: Least square method. Fitting of the straight line y = a + bx ,parabolic curve y = a + bx + cx2 ,& exponential curve y = abx

Text Books:

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
It is a lightweight, easy to use, no images, and no pdf platform to make students’s lives easier.
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Reference Books:

1. Advanced Engg. Mathematics by C. Ray Wylie & Louis Barrett.TMH International Edition.
2. Mathematical Methods of Science and Engineering by Kanti B. Datta, Cengage Learning.
3. Integral Transforms and their Engineering Applications by Dr. B. B. Singh, Synergy Knowledgewar.
4. Laplace Transforms by Murry R. Spieget, Schauns out line series-McGraw Hill Publication.

Assessment:

Internal Assessment Assessment consists of two class tests of 20 marks each. The first class test is to be conducted when approx. 40% syllabus is completed and second class test when additional 40% syllabus is completed. Duration of each test shall be one hour. End Semester Theory Examination:

1. Question paper will comprise of 6 questions, each carrying 20 marks.
2. The students need to solve total 4 questions.
3. Question No.1 will be compulsory and based on entire syllabus.
4. Remaining question (Q.2 to Q.6) will be selected from all the modules.

For detail syllabus of all other subjects of Computer Engineering (CS) 3rd Sem 2017 regulation, visit CS 3rd Sem Subjects syllabus for 2017 regulation.