Practice Problems
These represent problems that emphasize topics that we believe are important and that may be similar to problems that you will see on tests.
Matlab Examples and Problems
- MacLaurin Series example: maclaurin.m, maclaurin2.m
- Bisection algorithm: find_root_bisection.m
- False position algorithm: find_root_false_position.m
- Newton Raphson algorithm: find_root_newtonraphson.m
- Polynomial regression: polynomial_fit.m
- Motion of a Projectile: Problem (Solution; trajectory.m)
- Exponential Growth and Decay: Problem (Solution; expGD.m)
- Golden Section Search Optimization Algorithm: gold_section_search.m
Floating Point Numbers
Taylor Series and Error
Root Finding Algorithms
- Graphical Root Finding (Bisection, False-Position, and Newton-Raphson): Problem (Solution)
- Numerical Root Finding Problem 1 (False-Position and Newton-Raphson): Problem (Solution)
- Numerical Root Finding Problem 2 (False-Position and Newton-Raphson): Problem (Solution)
- More problems and information about root finding can be found in the section on interactive learning tools for numerical methods.
Curve Fitting and Interpolation
- Fitting a Curve and Examining Data: Problem (Solution)
- Derivation of straight line equations: Problem (Solution)
- Gain a better insight into straight-line curve fitting, correlation, and polynomial curve fitting using the interactive learning tools for numerical methods.