Applied Mathematics-IV detailed syllabus scheme for Biotechnology (BT), 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 Biotechnology 4th Sem Syllabus 2017 Pattern, do visit BT 4th Sem 2017 Pattern Scheme. The detailed syllabus scheme for applied mathematics-iv is as follows.
Applied Mathematics-IV Syllabus for Biotechnology SE 4th Sem 2017 Pattern Mumbai University
Prerequisites:
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Course Objectives:
- The syllabus/module aims to introduce the above topics (to the Learner) so as to equip the learner with mathematic tools to effectively model, analyze and find the solution of various problems in Chemical Engineering and Biotechnology processes.
- One can use vector formation and calculus together to describe and solve many problems in two/three dimension. The Fourier Transform and PDE module does the ground work for the techniques required to solve and find the answer for various physiochemical problems.
Course Outcomes:
- It is expected that the learner will develop the proactive approach towards the selection of methods to a solution of Chemical Engineering and Biotechnology problems coming across while studying higher level of the Course. Example: Flow of Liquid through Pipes/Gases etc
Module 1
Fourier Series Expansion of functions in any interval (a, b). Half range expansion; Complex form; Parsevals identity theorem; Orthogonal and Orthonormal functions. NO PROOFS REQUIRED. 09
Module 2
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Module 3
Partial Differential Equations Elliptic, Parabolic & Hyperbolic Equations; Laplaces equation; One dimensional Heat & Wave Equation, Two Dimensional wave equation. (ONLY NUMERICAL PROBLEMS. NO PROOFS REQUIRED). 10
Module 4
Vector Integration Greens Theorem in the plain; Conservative & Solenoidal Fields. Greens Theorem in the plain; Conservative, Gauss Divergence Theorem, Stokes Theorem. (ONLY NUMERICAL PROBLEMS. NO PROOFS REQUIRED). 10
Term work
Term work shall consist of minimum eight tutorials from entire syllabus which are to be given at regular intervals Batch wise. Tutorials: 20 marks Attendance: 05 marks Total: 25 marks
Assessment
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..
Reference Books:
- Advanced Engineering Mathematics by Erwin Kreyszig, 9th Edition, Wiley India.
- Schuams outline series in Fourier series.
- Schuams outline series in partial differential equations.
- Partial differential equations Vol 1 by Rutherford Aris.
For detail syllabus of all other subjects of Biotechnology (BT) 4th Sem 2017 regulation, visit BT 4th Sem Subjects syllabus for 2017 regulation.