Math 1215 First Project Due October 2, 2013
The Excel parts of this project need to be done in Excel or Open Oce and printed and attached
to the rest of your work. The rest of the project may be typed or hand-written, in a neat and legible
way (messy work
Math 1215 Second Project Due November 6, 2012
General Instructions This project must be typed or written neatly and legibly by hand. (Messy
work can cost up to 5 points.) Projects consisting of more than one page need to be stapled! You
need to give the q
Simulating a dierential equation with Eulers Method
In these notes I will demonstrate how we can use Eulers Method to approximate the solution to a dierential equation. I will also discuss using a
spreadsheet program to implement the method. For a general
Math 1215 Third Project Due November 27, 2013 by 5 pm
General Instructions This project is to be typed or hand-written, in a neat and legible way. (Messy
work can cost you up to 5 points.) Projects consisting of more than one page need to be stapled - uns
Cobweb plots for the Discrete Logistic Map Here I will show some cobweb diagrams for the discrete logistic map I discussed in class. Recall the map is given by yn+1 = ryn (1 yn ) . First we consider r = 2. We solve for the steady-states: 2y(1 y) = y , 2y
Math 1215 - Life Sciences Calculus
Section 7.2 - November 20
Practice Problems: p. 532, # 1-10, 15, 16, 18-20, 30.
Section 7.2. Equilibrium and Display of Autonomous Dierential Equations.
Question 7.21 What would you do to algebraically nd the equilibrium
Math 1215
Practice Exam
Note: The actual nal will start with a multiple choice or true/false section.
1. Find the following limits
(x + h)2 x2
h0
h
2
(b) lim 2x + x + 4
(a) lim
x2
x2 4x
x0
x
2x3 + 4x + 3
(d) lim
x
x3 + 1
(c) lim
Solution:
(a) We rst expan
Math 1215 - Life Sciences Calculus
Section 7.4 - November 25
Practice Problems: p. 550, # 3-9, 14-16, 39, 40.
Section 7.4. Separable Dierential Equations.
Denition 7.41 A separable dierential equation is a dierential equation that can be written
in the fo
Math 1215 - Life Sciences Calculus
Section 7.5 - November 27
Practice Problems: p. 561, # 7-12.
Section 7.5. Systems of Dierential Equations; Predator-Prey Model.
Question 7.51 List the assumptions if a population has exponential growth rate. Are these
as
MATH 1215 - Fall 2013
Practice Midterm Exam (& Solutions)
1
READ THIS FIRST! All work must be your own. No books or notes allowed, except one side of a 8 2
11 sheet. Use of basic or scientic calculator is permitted. Points will be distributed among the