Engineering Mathematics-IV detail syllabus for Computer Science & Engineering (Cse), 2017 scheme is taken from VTU official website and presented for VTU students. The course code (17MAT41), 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 4th sem syllabus for be 2017 scheme vtu you can visit CSE 4th Sem syllabus for BE 2017 Scheme VTU Subjects. The detail syllabus for engineering mathematics-iv is as follows.
Module 1
Numerical Methods: Numerical solution of ordinary differential equations of first order and first degree, Taylor’s series method, modified Euler’s method. Runge – Kutta method of fourth order, Milne’s and Adams-Bashforth predictor and corrector methods (No derivations of formulae-single step computation only).
Module 2
For complete syllabus and results, class timetable and more pls download iStudy. Its a light weight, easy to use, no images, no pdfs platform to make students life easier.
Module 3
Complex Variables: Review of a function of a complex variable, limits, continuity, differentiability. Analytic functions-Cauchy-Riemann equations in cartesian and polar forms. Properties and construction of analytic functions. Complex line integrals-Cauchy’s theorem and Cauchy’s integral formula, Residue, poles, Cauchy’s Residue theorem ( without proof) and problems. Transformations: Conformal transformations-Discussion of transformations: w = z2, w =ez, w = z + (1/z) (z 0), Bilinear transformations-problems.
Module 4
Probability Distributions: Random variables (discrete and continuous), probability functions. Poisson distributions, geometric distribution, uniform distribution, exponential and normal distributions, Problems. Joint probability distribution: Joint Probability distribution for two variables, expectation, covariance, correlation coefficient.
Module 5
For complete syllabus and results, class timetable and more pls download iStudy. Its a light weight, easy to use, no images, no pdfs platform to make students life easier.
Course Outcomes:
After studying this course, students will be able to:
- Solve first and second order ordinary differential equation arising in flow problems using single step and multistep numerical methods. Illustrate problems of potential theory, quantum mechanics and heat conduction by employing notions and properties of Bessel’s functions and Legendre’s polynomials. Explain the concepts of analytic functions, residues, poles of complex potentials and describe conformal and Bilinear transformation arising in field theory and signal processing.
- Develop probability distribution of discrete, continuous random variables and joint probability distribution occurring in digital signal processing, information theory and design engineering.
- Demonstrate testing of hypothesis of sampling distributions and illustrate examples of Markov chains related to discrete parameter stochastic process.
- 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.V.Ramana “Higher Engineering Mathematics” Tata McGraw-Hill, 2006.
- B. S. Grewal, Higher Engineering Mathematics, Khanna publishers, 42nd edition, 2013.
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, 2013.
- H. K Dass and Er. RajnishVerma, “Higher Engineering Mathematics”, S. Chand, 1st ed, 2011.
For detail syllabus of all other subjects of BE Cse, 2017 scheme do visit Cse 4th Sem syllabus for 2017 scheme.
Dont forget to download iStudy for latest syllabus and results, class timetable and more.