# Numerical methods for Computer Engineering (2710210)

## Teaching Scheme (in Hours)

Theory Tutorial Practical Total
3 2 4

Subject Credit :  4

Theory
ESE (E)
Theory
PA (M)
Practical
ESE Viva (V)
Practical
PA (I)
Total
0

## Syllabus Content

###### Unit-1:  Unit-1

Modeling, Computers and error analysis : Mathematical modeling and engineering problem solving. Role of computers and software. Approximations and errors. Significant figures, accuracy and precision, Errors, round-off and truncation errors, error propagation.

###### Unit-2:  Unit-2

Roots of Equations : Mathematical background, Bisection, Regula Falsi ,NR method,Secant , Successive approximation method, Budan’s Theorem, Barristow’s method, case studies.

###### Unit-3:  Unit-3

Systems of linear algebraic equations: Mathematical background, Gauss elimination; pitfalls and techniques for improvement, matrix inversion and Gauss-Seidel methods, III Conditional equations,Predictor-Corrector methods,case studies.

###### Unit-4:  Unit-4

Curve Fitting: Mathematical background, Least squares linear and polynomial regression, Lagrange interpolating polynomials. Spline interpolation, Case studies.

###### Unit-5:  Unit-5

Numerical Integration : Newton-Cotes integration formulas; trapezoidal rule and Simpson’s rules: Interpolation, case studies.

###### Unit-6:  Unit-6

Ordinary differential equations: Euler’s method, Runge-Kutta methods. General methods for boundary value problems,Automatic error monitoring and change of step size stability of solution. Case studies.

###### Unit-7:  Unit-7

Frequency distributions, Data analysis, Expectations and moments, Co-relation and regression, Trend analysis, Seasonal effects, Cyclical fluctuation, Moving average, MSE, Predictions.

## Reference Books

Sr. Title Author Publication Amazon Link
1 Numerical Methods for engineers S C Chapra and R P Canale McGrow Hill International Edition
2 Numerical Methods for Scientific & Engineering Computation M. K. Jain, S.R.K.
3 Introduction to Numerical Analysis S. S. Sastry. PHI
4 Numerical Methods in Science & Engineering Prog. Dr. B. S. Grawal Khanna Pub.
5 Computer Oriented Numerical Methods R. S. Salaria Khanna Publisher
6 Miller & Freund’s Probability and Statistics for Engineers Richard A Johnson PHI

## Course Outcome

After learning the course the students should be able to:

• Apply Mathematical Modeling and for Engineering Problem Solving.
• Solve Mathematical Equations by various methods.
• Solve system of linear equations.
• Find Best Curve fitting for given data.
• Apply Numerical Integration.
• Solve Differential Equations.
• Understand Statistical Methods for Data Analysis.

### ME (CE) ⇒ Semester: 1

Darshan Institute of Engineering & Technology is a leading institute offering undergraduate (B.E.), postgraduate (M.E.) and Diploma programs in engineering.

## Our Contacts

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