FEC201: Engineering Mathematics-II Syllabus for BM 2nd Sem 2016 Pattern Mumbai University

Engineering Mathematics-II detailed syllabus scheme for Biomedical Engineering (BM), 2016 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 Biomedical Engineering 2nd Sem Syllabus 2016 Pattern, do visit BM 2nd Sem 2016 Pattern Scheme. The detailed syllabus scheme for engineering mathematics-ii is as follows.

Engineering Mathematics-II Syllabus for Biomedical Engineering 1st Year 2nd Sem 2016 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:

Students will be able to..

1. Apply the concepts of First Order and first degree Differential equation to the problems in the field of engineering.
2. Apply the concepts of Higher Order Linear Differential equation to the engineering problems.
3. Apply concepts of Beta and Gamma function to solve improper integrals.
4. Apply concepts of Double integral of different coordinate systems to the engineering problems like area and mass.
5. Apply concepts of triple integral of different coordinate systems to the engineering problems and problems based on volume of solids.
6. Solve differential equations and integrations numerically using SCILAB software to experimental aspect of applied mathematics.

01. Differential Equations of First Order and First Degree

1. Exact differential Equations, Equations reducible to exact form by using integrating factors.
2. Linear differential equations (Review), equation reducible to linear form, Bernoullis equation. # Self learning topics: Simple application of differential equation of first order and first degree to electricaland Mechanical Engineering problem 4 2

02. Linear Differential Equations With Constant Coefficients and Variable Coefficients Of Higher Order

1. Linear Differential Equation with constant coefficient- complementary function, particular integrals of differential equation of the type f(D)y = X where X is e^ax, sin(ax+b), cos(ax+b), x^n, e^axV, xV.
2. Method of variation of parameters. 4 2# Self learning topics: Cauchys homogeneous linear differential equation and Legendres differential equation, Applications of Higher order differential equation.

03. Beta and Gamma Function, Differentiation under Integral sign and Rectification

For the complete Syllabus, results, class timetable, and many other features kindly download the iStudy App
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04. Multiple Integration-1

1. Double integration-definition, Evaluation of Double Integrals.(Cartesian & Polar)
2. Evaluation of double integrals by changing the order of integration.
3. Evaluation of integrals over the given region.(Cartesian & Polar)# Self learning topics:Application of double integrals to compute Area, Mass. 2 2 2

05. Multiple Integration-2

1. Evaluation of double integrals by changing to polar coordinates.
2. Application of double integrals to compute Area
3. Triple integration definition and evaluation (Cartesian, cylindrical and spherical polar coordinates).# Self learning topics: Application of triple integral to compute volume. 2 2 2

06. Numerical solution of ordinary differential equations of first order and first degree, and , Numerical Integration

1. Numerical solution of ordinary differential equation using
   1. Eulers method
   2. Modified Euler method,
   3. Runge-Kutta fourth order method
2. Numerical integration- by
   1. Trapezoidal
   2. Simpsons 1/3rd
   3. Simpsons 3/8th rule (all with proof).# Self learning topics:Numerical solution of ordinary differential equation using Taylor series method. 3 3

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 Test: 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 35% syllabus is completed. Duration of each test shall be one hour. End Semester Theory Examination:

1. Question paper will comprise of total 06 questions, each carrying 20 marks.
2. Total 04 questions need to be solved.
3. Question No: 01 will be compulsory and based on entire syllabus wherein 4 subquestions of 5 marks each will be asked.
4. Remaining questions will be randomly selected from all the modules.
5. Weightage of each module will be proportional to number of respective lecture hrs as mentioned in the syllabus.

Reference Books:

1. Higher Engineering Mathematics, Dr.B.S.Grewal, Khanna Publication
2. Advanced Engineering Mathematics, Erwin Kreyszig, Wiley EasternLimited, 9thEd.
3. Engineering Mathematics by Srimanta Pal and SubodhBhunia, Oxford University Press
4. Applied Numerical Methods with MATLABfor Engineers and Scientists by Steven Chapra, McGraw Hill
5. Elementary Linear Algebra with Application by Howard Anton and Christ Rorres. 6th edition.
6. John Wiley & Sons,INC.

For detail syllabus of all other subjects of Biomedical Engineering (BM) 2nd Sem 2016 regulation, visit BM 2nd Sem Subjects syllabus for 2016 regulation.