ðŸ’¥ Instructors

# ðŸ“œ 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.

# ðŸŽ¯ 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.

ðŸ“š Textbook and References