FOUNDATIONS OF APPLIED MATHEMATICS
FALL 2015
LESSON 1: Units, Dimensions and Dimensional Analysis
This lesson introduces Dimensional Analysis. Supplements Chapter 1 of the text.
1
Units, Dimensions and Dimensional Analysis
1
Introduction
Applied mathemati
FOUNDATIONS OF APPLIED MATHEMATICS
FALL 2015
LESSON 2: Perturbation Methods
This lesson introduces regular and singular perturbation theory. Supplements Chapter 2 of the
text.
1
Perturbation Methods
1
Introduction
It is generally the case that mathematica
FOUNDATIONS OF APPLIED MATHEMATICS
FALL 2016
LESSON 3: Population Growth and Species Interactions
This lesson examines continuous models of population growth and of interaction among chemical
or biological species. Spatial variations are neglected and the
Foundations of Applied Mathematics F15
MATH 4700
Homework-1 Solutions
PROBLEMS
1. The thrust F (dimensions of force) developed by a ship propeller in deep water is known to depend
upon the following quantities:
The radius R and the number of revolutions p
Foundations of Applied Mathematics F15
MATH 4700
Homework-2 Solutions
NOTES
1. Writing solutions in LaTeX is strongly recommended but not required.
2. Show all work, and make all necessary arguments to justify your approach. You may use the
posted solutio