| Content | MATHEMATICAL PRELIMINARIES and ERROR ANALYSIS Review of Calculus Roundoff Errors and Computer Arithmetic SOLUTIONS OF EQUATIONS IN ONE VARIABLE The Bisection Method Fixed-Point Iteration The Newton's Method The Secant Method The Method of False Position Error Analysis for Iterative Methods INTERPOLATION AND POLYNOMIAL APPROXIMATION Interpolation and the Lagrange Polynomial Data Approximation and Neville's Method Divided Differences Forward, Backward and Centered Differences NUMERICAL DIFFERENTIATION AND INTEGRATION Numerical Differentiation Richardson's Extrapolation Elements of Numerical Integration, the Trapezoidal and Simpson's Rule Newton-cotes Formulas Composite Numerical Integration |
| 2011 | |
| First Midterm | Questions - Solutions |
| Second Midterm | Questions |
| Final Exam | Questions |
| 2012 | |
| First Midterm | Questions - Solutions |
| Second Midterm | Questions - Solutions |
| Final Exam | Questions - Solutions |