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HU Credits:
3
Degree/Cycle:
2nd degree (Master)
Responsible Department:
Agricultural Economics
Semester:
2nd Semester
Teaching Languages:
Hebrew
Campus:
Rehovot
Course/Module Coordinator:
J. Rivlin
Coordinator Office Hours:
Sunday 14:15-15:00
Teaching Staff:
Dr. Judith Rivlin
Course/Module description:
Numerical Solution of Nonlinear Equations; Interpolation; Splines ; Numerical Solution of Linear Equations; Eigenvalues and Eigenvectors. Numerical Differentiation and Integration.
Course/Module aims:
To introduce the difference between an analytical and a numerical solution of a problem. To present principal methods to solve numerically classical problems in calculus such as: Solution of a nonlinear equation, Approximation of a function by a piecewise polynom , Solution of a linear system of equations . Calculation of derivatives and integrals numerically
Learning outcomes - On successful completion of this module, students should be able to:
To solve numerically a nonlinear equation. To approximate a function by a piecewise polynom , To solve a linear system of equations . To Calculate derivatives and integrals numerically
Attendance requirements(%):
100
Teaching arrangement and method of instruction:
Lecture and exercises
Course/Module Content:
Solution of a nonlinear equation: The Bisection, Newton, Secant and Fixed Point methods.
Interpolation: The interpolation formulas of Lagrange, Hermite and Newton.
Splines.
Solution of a linear system of equations: Gaussian Elimination method, Pivoting methods. Iterative methods: Jacobi, Gauss-Seidel, S.O.R. Stabitity of a matrix.
Eigenvalues and Eigenvectors.
Numerical Differentiation. Stability.
Numerical Integration: Newton Cotes, Gauss.
Required Reading:
Lecture summaries;
Numeric methods- Rivlin, J.-
Rehovot 2015
Additional Reading Material:
Burden & Faires- Numerical Analysis-7th edition (2001).
Course/Module evaluation:
End of year written/oral examination 90 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 0 %
Assignments 10 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
Additional information:
The course is useful for anyone who solves problems with a computer. We will learn basic methods for solving various mathematical problems, including: non-linear equation solving, approximation of functions with polynomials, solving systems of linear equations and so on ...
The software used in the course is a software Maple. At same time there will be the option to work with the software MATHEMATICA or MATLAB for those who are interested.
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