CHC401: Applied Mathematics-IV Syllabus for CH 4th Sem 2017 Pattern Mumbai University

Applied Mathematics-IV 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 4th Sem Syllabus 2017 Pattern, do visit CH 4th Sem 2017 Pattern Scheme. The detailed syllabus scheme for applied mathematics-iv is as follows.

Applied Mathematics-IV Syllabus for Chemical Engineering SE 4th 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:

• The Fourier Series, Fourier Transform and Partial Differential Equation
• Module does the Ground work for the techniques required to solve and find the answer for various physiochemical problems.
• To study the basics of Finite Differences.
• To study the basics of Complex Integration.
• To introduce the basics of NLPP.

Course Outcomes:

• Demonstrate the ability of using Fourier Series and Fourier Transform in solving PDE.
• Enable the students to solve boundary value Problem using Finite Differences Approximations.
• Identify the applicability of theorems and evaluate the Contour Integral.
• The students will be ready for any further course on Optimization.

Module 1

Fourier Series:

1. Orthogonal and Ortho-normal functions
2. Dirichlets conditions, Fourier series of periodic functions with period 2n and 2L. Parsevels identities (without proof).
3. Fourier series for even and odd functions.
4. Half range sine and cosine Fourier series,
5. Complex form of Fourier series.
6. Fourier Integral Representation, sine & cosine Integrals
7. Fourier Transform sine & cosine transforms, complex transforms. NO PROOFS REQUIRED. 10

Module 2

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Module 3

Finite Differences and Interpolation

1. Forward difference operator A, backward difference operator V , shift operator E, properties of operators A, V and E, relation between E and D where D = ^. 3.2Missing terms (equal Intervals),Factorial Notation
2. Assumption of interpolation, Gregory Newtons Forward Interpolation formula for equal Intervals, Gregory Newtons Backward Interpolation formula for equal Intervals
3. Interpolation with arguments at unequal Intervals-Divided Difference table Newtons Divided Difference Formula ,
4. Lagranges Interpolation Formula. 07

Module 4

Complex Integration

1. Line Integral, Cauchys Integral theorem for simply connected regions, Cauchys Integral formula(without proof)
2. Taylors and Laurents series ( without proof)
3. Zeros, poles of fz, Residues, Cauchys Residue theorem
4. Applications of Residue theorem to evaluate Integrals of the type ff ^ f(sin0, cos0)d 0, fmf xdx , 07

Module 5

Optimization (No theory)

1. Non-linear programming: Lagrange multiplier method for one and two equality constraints for 2 and 3 variables, conditions on the Hessian matrix (no proof);
2. Non-linear programming: Kuhn-Tucker conditions with at most 2 constraints with two variables. 07

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 2005.
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. Lapplace Treansforms by Murry R. Spieget, Schaunsout line series-McGraw Hill Publication.
7. Operation Research by S. D. Sharma.
8. Operation Research by ER. Prem Kumar Gupta & Dr. D. S. Hira.

For detail syllabus of all other subjects of Chemical Engineering (CH) 4th Sem 2017 regulation, visit CH 4th Sem Subjects syllabus for 2017 regulation.