Learning outcomes
- Solve non-linear equations via different numerical methods.
- Solve large systems of linear equations via different methods.
- Approximate different functions and data (via polynomial and rational interpolation or polynomial and rational least squares approximation).
- Solve different systems of ordinary differential equations.
- Evaluate definite integrals by different numerical quadrature methods.
- Numerically determine eigen values and eigen vectors for very large matrices using different methods.
So, I’ll go through the learning outcomes, learn them, and then type some notes on where difficulties may arise. I’ll be starting these before the classes start, so there isn’t any specific order for which I’ll complete the learning outcomes; instead, they will be done arbitrarily.
Prerequisites
- Calculus I.
- Calculus III (Vector calculus).
- Advanced Linear Algebra.
- Basic understanding of infinite series and power series.
- Matrix analysis.
- Algorithms and mathematical computing.
These are some very loose prerequisites which I will update after I’ve gone through everything.