Hydrology 510
Quantitative Methods in Hydrology
New Mexico Tech
Exam 2
Part A
October 31, 2007
PART A Short Answers (60 pts out of 100pts)
For part A there are 14 problems, each worth five points. Solve 12
correctly to get full credit of 60 points. If you
Hydrology 510
Quantitative Methods in Hydrology
New Mexico Tech
Exam 2
November 10, 2008
PART A
Solving ODEs. (Answers 10 pts. each; total 80 pts out of 100pts)
(1) Verify, by substitution, that the functions y=x3 and x5 form a basis of the equation
x2 y
Hydrology 510
Homework 1
Quantitative Methods in Hydrology
Calculus review problems from Ash and Ash,
The Calculus Tutoring Book, 1986.
The numbers (x.x.x) refer to the number problems in Ash and Ash (1986). They refer to chapter, section, and
problem. Th
Solution set for Home Assignment # 2
H2.1:
Part
Solution
(a)
Algebraic, nonlinear
(b)
Differential, nonlinear
Differential, linear
H2.2:
Solution
Equation
(i)
(a)
differential
(b)
differential
differential
(d)

(ii)
PDE
ODE
ODE

(iii)
2 order
w.r.t.
x
Hydrology 510
Quantitative Methods in Hydrology
Homework 5
More problems on numerical methods
In the problems below that are taken from Kreyszig the notation (19.1.9) represents Chapter 19, Section 3, Problem
9. Only the problem numbers are given below. S
Hydrology 510
Homework 4
Quantitative Methods in Hydrology
Introductory problems on
numerical methods; a synthesis problem
on coupled 1st order linear odes
Over the next two weeks well examine numerical solutions of first order ODEs taken from Kreyszig, S
Hydrology 510
Homework 2
Problems on general background and intro
problems on 1st order
ODEs and their solution. The latter
are from the textbook by Kreyszig.
Quantitative Methods in Hydrology
The first two questions concern general background related to
Hydrology 510
Homework 3
Problems on linear 1st order ODEs and their
solution, mostly taken from Kreyszig.
Quantitative Methods in Hydrology
These problems all concern 1st order ODEs.
From pp. 3234, linear ODEs, solve 1.5.1, 1.5.3, 1.5.11, 1.5.21, 1.5.27