ITC301: Applied Mathematics III Syllabus for IT 3rd Sem 2017 Pattern Mumbai University

Applied Mathematics III detailed syllabus scheme for Information Technology (IT), 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 Information Technology 3rd Sem Syllabus 2017 Pattern, do visit IT 3rd Sem 2017 Pattern Scheme. The detailed syllabus scheme for applied mathematics iii is as follows.

Applied Mathematics III Syllabus for Information Technology SE 3rd Sem 2017 Pattern Mumbai University

Course Objectives:

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Course Outcomes:

Students will able to:

1. Apply the Set theory and Relation concepts.
2. Apply the Functions and define the recursive functions.
3. Apply Laplace transform to different applications.
4. Apply Inverse Laplace transform to different applications.
5. Identify the permutations and combinations.
6. Define variable and also identify the mapping.

Prerequisites:

Applied Mathematics I, Applied Mathematics II

Module I

Set Theory Set Theory: Definition of Sets, Venn Diagrams, complements, cartesian products, power sets, counting principle, cardinality and countability (Countable and Uncountable sets), proofs of some general identities on sets, pigeonhole principle. 08 CO1

Module II

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Module III

Laplace Transform Introduction, Definition of Laplace transforms Laplace transform of constant, trigonometrical, exponential functions. Important properties of Laplace transform: First shifting theorem, Laplace (follow the equation from pdf) (all without proof ). Unit step function, Heavi side function, Dirac-delta function, Periodic function and their Laplace transforms, Second shifting theorem. 08 CO3

Module IV

Inverse Laplace Transform Inverse Laplace transform with Partial fraction and Convolution theorem (without proof). Application to solve initial and boundary value problem involving ordinary differential equations with one dependent variable and constant coefficients. 08 CO4

Module V

Complex Variable & mapping Functions of a complex variable, Analytic functions, Cauchy-Riemann equations in Cartesian coordinates, Polar co-ordinates. Harmonic functions, Analytic method and Milne Thomson methods to find fz, Orthogonal trajectories. Conformal Mapping, Linear, Bilinear transformations, Cross ratio, fixed points and standard transformation such as rotation and magnification, inversion, translation. 10 CO6

Module VI

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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Text Books:

1. Higher Engineering Mathematics by Grewal B. S. 38th edition, Khanna Publication 2005.
2. Advanced Engineering Mathematics by Kreyszig E. 9th edition, John Wiley.
3. A Text Book of Applied Mathematics Vol. I & II by P.N.Wartilar & J.N.Wartikar, Pune, Vidyarthi Griha Prakashan, Pune.
4. Modern Digital Electronics by R. P. Jain 8th edition, Tata Mcgraw Hill
5. C. L. Liu and D. P. Mohapatra, Elements of Discrete Mathematics, SiE Edition, TataMcGraw-Hill.

Reference Books:

1. Advanced Engineering Mathematics by C. Ray Wylie & Louis Barrett, TMH International Edition.
2. Mathematical Methods of Science and Engineering by Kanti B. Datta, Cengage Learning.
3. Lapplace Transforms by Murray R. Spiegel, Schauns out line series-McGraw Hill Publication.

Assessment:

Internal Assessment for 20 marks: Consisting of Two Compulsory Class Tests Approximately 40% to 50% of syllabus content must be covered in First test and remaining 40% to 50% of syllabus contents must be covered in second test. End Semester Theory Examination: Some guidelines for setting the question papers are as:

• Weightage of each module in end semester examination is expected to be/will be proportional to number of respective lecture hours mentioned in the syllabus.
• Question paper will comprise of total six questions, each carrying 20 marks.
• Q.1 will be compulsory and should cover maximum contents of the syllabus.
• Remaining question will be mixed in nature (for example if Q.2 has part
1. from module 3 then part
2. will be from any other module. (Randomly selected from all the modules)
• Total four questions need to be solved.

For detail syllabus of all other subjects of Information Technology (IT) 3rd Sem 2017 regulation, visit IT 3rd Sem Subjects syllabus for 2017 regulation.