ISC301: Applied Mathematics-III Syllabus for IS 3rd Sem 2017 Pattern Mumbai University

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

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

Course Objectives:

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Course Outcomes:

The students will be able to –

1. Demonstrate basic knowledge of Laplace Transform.
2. Obtain the time response of systems using inverse Laplace transform.
3. Find the Fourier series, Complex form of Fourier series, Fourier Integral and Fourier transform of the functions.
4. Study the differential vector algebra and its properties.
5. Study vector line integral and theorems in plane and surface.
6. Check for analytical functions and find the analytical function and study the mapping.

Prerequisites:

Knowledge of Matrix algebra, Differentiation, Integration, Probability, and Series expansion.

Module 1

Laplace Transform Laplace Transform (LT) of Standard Functions: Definition of Laplace transform, Condition of Existence of Laplace transform, Laplace transform of (Follow the equation from pdf)(No Proof of formulas), Heaviside unit step function, Dirac-delta function (No Proof of formula), Laplace transform of Periodic function (Proof of formula) Properties of Laplace Transform: Linearity, first shifting theorem, second shifting theorem multiplication by tn, Division by t, Laplace Transform of derivatives and integrals, change of scale, convolution theorem, Evaluation of integrals using Laplace transform. (No proof of any property. 8 CO1

Module 2

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Module 3

Fourier Series Introduction: orthogonal and orthonormal set of functions, Definition, Dirichlets conditions, Eulers formulae Fourier Series of Functions: Exponential, trigonometric functions of any period =2L, even and odd functions, half range sine and cosine series Complex form of Fourier series, Fourier integral representation, Fourier Transform and Inverse Fourier transform of constant and Exponential function, Fourier sine and cosine transform of Exponential, sine and cosine function 12 CO3

Module 4

Vector Algebra Scalar and Vector Product: Scalar and vector product of three and four vectors and their properties (Only introduction, No question to be asked) Vector Differentiation: Gradient of scalar point function, divergence and curl of vector point function Properties: Solenoidal and irrotational vector fields, conservative vector field 7 CO4

Module 5

Vector Integral: Line integral Greens theorem in a plane (Verification question can be asked), Gauss divergence theorem and Stokes theorem (No question on Verification to be asked. 6 CO5

Module 6

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Internal Assessment:

Internal Assessment consists of two tests out of which, one should be compulsory class test (on minimum 02 Modules) and the other is either a class test or assignment on live problems or course project.

Theory Examination:

1. Question paper will comprise of 6 questions, each carrying 20 Marks.
2. Total 4 questions need to be solved.
3. Question No. 1 will be compulsory and based on entire syllabus wherein sub questions of 4 to 5 marks will be asked.
4. Remaining questions will be mixed in nature.
5. In question paper weightage of each module will be proportional to number of respective lecture hours as mentioned in the syllabus.

Term Work: Term work shall consist of minimum three simulations and four tutorials from the above list. The distribution of marks for term work shall be as follows: Laboratory work (Tutorials. : 10 Marks Laboratory work (programs / journal) : 10 Marks Attendance : 5 Marks The final certification and acceptance of term work ensures the satisfactory performance of laboratory work and minimum passing in the term work.

Text Books:

1. H.K. Das, Advanced engineering mathematics,S . chand , 2008
2. A. Datta, Mathematical Methods in Science and Engineering, 2012
3. B.S. Grewal, Higher Engineering Mathematics, Khanna Publication

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