Engineering Mathematics-III detail syllabus for Computer Science & Engineering (Cse), 2017 scheme is taken from VTU official website and presented for VTU students. The course code (17MAT31), and for exam duration, Teaching Hr/week, Practical Hr/week, Total Marks, internal marks, theory marks, duration and credits do visit complete sem subjects post given below.
For all other cse 3rd sem syllabus for be 2017 scheme vtu you can visit CSE 3rd Sem syllabus for BE 2017 Scheme VTU Subjects. The detail syllabus for engineering mathematics-iii is as follows.
Module 1
Fourier Series: Periodic functions, Dirichlet’s condition, Fourier Series of periodic functions with period 2n and with arbitrary period 2c. Fourier series of even and odd functions. Half range Fourier Series, practical harmonic analysis-Illustrative examples from engineering field.
Module 2
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Module 3
Statistical Methods: Review of measures of central tendency and dispersion. Correlation-Karl Pearson’s coefficient of correlation-problems. Regression analysis- lines of regression (without proof) -problems Curve Fitting: Curve fitting by the method of least squares- fitting of the curves of the form, y = ax + b, y = ax2 + bx + c and y = aebx. Numerical Methods: Numerical solution of algebraic and transcendental equations by Regula- Falsi Method and Newton-Raphson method.
Module 4
Finite differences: Forward and backward differences, Newton’s forward and backward interpolation formulae. Divided differences- Newton’s divided difference formula. Lagrange’s interpolation formula and inverse interpolation formula (all formulae without proof)-Problems. Numerical integration: Simpson’s (1/3)th and (3/8)th rules, Weddle’s rule (without proof ) -Problems.
Module 5
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Course Outcomes:
After Studying this course, students will be able to
- Know the use of periodic signals and Fourier series to analyze circuits and system communications.
- Explain the general linear system theory for continuous-time signals and digital signal processing using the Fourier Transform and z-transform.
- Employ appropriate numerical methods to solve algebraic and transcendental equations.
- Apply Green’s Theorem, Divergence Theorem and Stokes’ theorem in various applications in the field of electro-magnetic and gravitational fields and fluid flow problems.
- Determine the extremals of functionals and solve the simple problems of the calculus of variations.
- The question paper will have ten questions.
- There will be 2 questions from each module.
- Each question will have questions covering all the topics under a module.
- The students will have to answer 5 full questions, selecting one full question from each module.
Question paper pattern:
Text Books:
- B. S. Grewal, ” Higher Engineering Mathematics”, Khanna publishers, 42nd edition, 2013.
- B.V. Ramana “Higher Engineering Mathematics” Tata McGraw-Hill, 2006.
Reference Books:
- N. P. Bali and Manish Goyal, “A text book of Engineering mathematics”, Laxmi publications, latest edition.
- Kreyszig, “Advanced Engineering Mathematics ” – 9th edition, Wiley.
- H. K Dass and Er. Rajnish Verma, “Higher Engineering Mathematics”, S. Chand, 1st ed.
For detail syllabus of all other subjects of BE Cse, 2017 scheme do visit Cse 3rd Sem syllabus for 2017 scheme.
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