CHC301: Applied Mathematics-III Syllabus for CH 3rd Sem 2017 Pattern Mumbai University

Applied Mathematics-III detailed syllabus scheme for Chemical Engineering (CH), 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 Chemical Engineering 3rd Sem Syllabus 2017 Pattern, do visit CH 3rd Sem 2017 Pattern Scheme. The detailed syllabus scheme for applied mathematics-iii is as follows.

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

Prerequisites:

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

• To enable students to solve initial value ODE problems using L-transforms.
• To strengthen the knowledge of students in Linear Algebra.
• To study the basics of statistics and Probability.
• To study the basics of Complex Variable.

Course Outcomes:

• The student will be able to apply Laplace Transform techniques for solving initial value problems.
• Identify the Analytic function and Harmonic function and to apply Bilinear Transformation.
• Understanding and apply the concept of Probability distribution and Sampling theory to engineering problems.

Module 1

Laplace transform:

1. Introduction, Definition of Laplace transform, Laplace transform of constant, trigonometrical, exponential functions.
2. Important properties of Laplace transform: First shifting theorem, Laplace transform of (follow the equation from pdf) , without proof.
3. Unit step function, Heavi side function, Second shifting theorem, Dirac-delta function, Periodic function and their Laplace transforms without proof.
4. Inverse Laplace transform with Partial fraction and Convolution theorem. (without proof)
5. Application to solve initial and boundary value problem involving ordinary differential equations with one dependent variable and constant coefficients. 10

Module 2

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Module 3

Probability:

1. Random Variables:- discrete & continuous random variables, expectation, Variance, Probability Density Function & Cumulative Density Function.
2. Moments, Moment Generating Function.
3. Probability distribution: binomial distribution, Poisson & normal distribution. 07

Module 4

Sampling Theory:

1. Test of Hypothesis, Level of significance, Critical region, One Tailed and two Tailed test, Test of significant for Large Samples:-Means of the samples and test of significant of means of two large samples.
2. Test of significant of small samples:- Students t- distribution for dependent and independent samples.
3. Chi square test:- Test of goodness of fit and independence of attributes, Contingency table.

Correlation:

1. Karl Pearsons coefficient of correlation, covariance, Spearmans Rank correlation.
2. Regression Lines. 07

Module 5

Complex Variable:

1. Functions of a complex variable, Analytic functions, Cauchy-Riemann equations in Cartesian co-ordinates, Polar coordinates. (without proof)
2. Harmonic functions, Analytic method and Milne Thomson methods to find fz, Orthogonal trajectories. (without proof)

Mapping

1. Conformal Mapping, Linear, Bilinear transformations, Cross ratio, fixed points and standard transformation such as rotation and magnification, invertion, translation.

Term work

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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Assessment

Internal

• Assessment consists of average of two tests which should be conducted at proper interval.

End Semester Theory Examination

• Question paper will comprise of 6 questions, each carrying 20 marks.
• Total 4 questions need to be solved.
• Question No.1 will be compulsory and based on entire syllabus wherein sub questions can be asked.
• Remaining questions will be randomly selected from all the modules.
• Weightage of marks should be proportional to number of hours assigned to each Module.

Reference Books:

1. Higher Engineering Mathematics by Dr. B. S. Grewal 42th edition, Khanna Publication.
2. Advanced Engineering Mathematics by Kreyszig E. 9th edition, John Wiley.
3. A Text Book of Applied Mathematics Vol. II by P.N.Wartilar & J.N.Wartikar, Pune, Vidyarthi Griha Prakashan., Pune.
4. Advanced Engg. Mathematics by C. Ray Wylie & Louis Barrett. TMH International Edition.
5. Mathematical Methods of Science and Engineering by Kanti B. Datta, Cengage Learning.
6. Laplace Transforms by Murry R. Spieget, Schaunsout line series-McGraw Hill Publication.
7. Theory And Problems of Statistics by Murry R. Spieget, Schaunsout line series- McGraw Hill Publication.
8. Fundamentals Of Mathematical Statistics by S. C. Gupta, V. K. Kapoor, Sultan Chand & Sons -2003

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