Bharathiar university syllabus for mathematics
Bharathiar University was set up at Coimbatore through the Government of Tamilnadu in February, 1982 under the provision of the Bharathiar University Act, 1981 (Act 1 of 1982). In May, 1985 the University received the recognition from University Grants Commission (UGC) New Delhi for the purpose of grants. The Postgraduate Centre of the University of Madras, which was functioning in Coimbatore before 1982 organized the core of the Bharathiar University.
Bharathiar university syllabus for mathematics
(Teaching Techniques In Applied Mathematics)
UNIT 1
Methods & Techniques of Teaching Large Group Techniques: Lecture, Modified lecture, seminar, symposium, panel discussion, Team Teaching, Project Approach & workshop. Small group techniques: Group discussion, Simulation, Role playing, Buzz Technique, Brain Stroming, case discussion and assignment.
Unit II
Educational Computing Instructional Applications of computer-Computer Assisted Instruction(CAI)-CAI programmes – Basic Assumptions, Advantages &Limitations of CAI-Role of the Teacher in CAI – e learning-What is e learning-Levels of e learning -Important features of elearning-Benefits & pitfills in e learning-Electronic journals-Innovative Instructional Software-steganography and Educational Applications.
UNIT III
Dimensional analysis and scaling
Dimensional analysis – The program of Applied Mathematics – Dimensional
Methods – The Buckingham Pi theorem – Formulation – Application to a Diffusion Problem –Proof of the Pi theorem – Scaling – Characteristic Scales – A Chemical Reactor Problem – The Projectile Problem – Population Models.
UNIT IV
Regular Perturbation Method
The Perturbation Method – Motion in a Nonlinear Resistive Medium – A Non linear
Oscillator – The Poincare-Lindsted Method – Asymptotics.
UNIT V
Singular Perturbation and boundary-layer analysis
Failure of Regular Perturbation – Inner and outer approximations – Algebraic equations
and Balancing – The inner approximation – Matching – Uniform approximations – Worked example – Boundary Layer Phenomena
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Bharathiar University,
Coimbatore – 641 046.
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