Elementary Differential Equations I Spring session
MA 215S

Summer 2014
Math 215 Practice Problems for Exam I Solutions are posted on the web page. 1. Let v = 2i + 2k and w = 2i + j + k. (a) Find v. (b) Find the unit vector with the same direction as v. (c) Find v w. (d) State a formula for the angle between two vectors. (e
Elementary Differential Equations I Spring session
MA 215S

Summer 2014
FINAL EXAM TOPICS: MATH 215 APRIL 2014
Note: The nal exam is cumulative. Any topic from any part of the course could be tested either
individually or in combination with other course topics. The topics you are responsible for are outlined
below, organized
Elementary Differential Equations I Spring session
MA 215S

Summer 2014
SOLUTIONS TO PRACTICE PROBLEMS FOR EXAM I
1 1 1. (a) 2 2; (b) , 0, ; (c) 6; (e) ; 6 2 2 3 (f) 4, 1, 3 ; (g) ; (h) 1.5, 0, 1.5 ; (i) 1.5, 0, 1.5 + 0.5, 1, 0.5 ; 2 (j) 2, 2, 2 . 2. A B is the area of the parallelogram spanned by A and B. A(B C) is th
Elementary Differential Equations I Spring session
MA 215S

Summer 2014
TEST ONE TOPICS: MATH 215 JANUARY 2014
First Order Dierential Equations
Identify linear, nonlinear and separable equations, and understand order of an ODE.
Understand solutions in algebraic, integral and graphical forms.
Understand slope elds for rst o
Elementary Differential Equations I Spring session
MA 215S

Summer 2014
TEST THREE TOPICS: MATH 215 MARCH 2014
Note: This midterm is cumulative, in that any topic from the rst or second midterm could be required.
We will not be asking questions specically to test that material. However, those techniques or ideas are
likely to
Elementary Differential Equations I Spring session
MA 215S

Summer 2014
TEST TWO TOPICS: MATH 215 FEBRUARY 2014
Note: This midterm is cumulative, in that any topic from the rst midterm could be required. We will
not be asking questions specically to test that material. However, those techniques or ideas could be needed
to sol
Elementary Differential Equations I Spring session
MA 215S

Summer 2014
Math 215 First Midterm
October 22, 2009
Name: Instructor: 1. Do not open this exam until you are told to do so. 2. This exam has 9 pages including this cover. There are 8 problems. Note that the problems are not of equal diculty, so you may want to skip o
Elementary Differential Equations I Spring session
MA 215S

Summer 2014
Name: Lab Section:
MATH 215 Fall 2004 FIRST EXAM
This Exam contains 6 problems on 8 sheets of paper, including this front cover. The problems are worth a total of 100 points. Do all of your work in this booklet and WRITE YOUR ANSWER IN THE CORRESPONDING B