Textbook
An Introduction to Numerical Analysis - by Endre Süli
Course Notes (PDF version)
Ch 2: Solution of Systems of Linear Equations
Ch 4: Simultaneous Iteration Method
Ch 6-10: Approximation & Integration
Polynomial Approximation Theory
Polynomial Interpolation & Chebyshev Nodes
Polynomial Projection & Quadrature Method
Integration Rules & Undetermined Coefficients
Review for Approximation & Integration
Ch 12: Numerical ODE
Euler & Trapezoidal & Runge-Kutta
Linear Multistep Methods & Stability
Note: You can download a PDF version of the notes here