💥 Instructors
📜 Course Description
Floating-point arithmetic and error analysis. Solution of non-linear equations. Polynomial interpolation. Numerical integration and differentiation. Data fitting. Solution of linear algebraic systems. Initial and boundary value problems of ordinary differential equations.
🎯 Student Learning Outcomes:
After completion of the course, the students should be able to:
- Use Taylor Series to approximate functions, evaluate the approximation errors and estimate their upper bounds.
- Understand and program algorithms to locate the approximate roots of equations.
- Understand and program algorithms to numerically solve linear systems of equations.
- Learn how to smooth collected engineering data using the least squares method.
- Use polynomials to interpolate collected precise (Note: Interpolation applies to precise data while the least-squares method applies to data exhibiting a significant degree of error or scatter.) engineering data or approximate function.
- Understand and program algorithms to evaluate the derivative or the integral of a given function, evaluate the approximation error involved and estimate its upper bound.
- Understand and program algorithms to solve engineering ordinary differential equations (ODEs) or partial differential equations (PDEs).
- Understand relationships among methods, algorithms, and computer errors.
- Apply numerical and computer programming tools to solve common engineering problems.
📚 Textbook and References