# MATH 246: Homework

## Spring 2015, Section 01XX, Professor Ron Lipsman

## General Remarks

Repeating the words from the main page concerning the problems found in the Class Notes: "These
may be solved either with paper and pencil or with *MATLAB*, at
your discretion. Only the *MATLAB* homework will be collected and graded! No specific problems from the Notes are assigned. You are free to do as many or few as you wish. However, it is recommended that you work at least 2-3 problems from each of the sections in the problem sets. Solutions are provided to every problem. Naturally, you are encouraged to attempt to work a problem before consulting the solution."
In general, **NODE** contains many more than
one problem of each type. You should do as many problems of each type
as it takes to convince yourself that you have mastered the skill.
Problems on exams will be written in a way that assumes you have
acquired all the basic skills.

In the weekly assignments that follow, the section numbers in the Class Notes are indicated and any **HOLR** problems that are assigned for that week are noted.
The latter are to be turned in by the corresponding
**due date**. They must be solved using *MATLAB*. For more information see the MATLAB info page.

**Note**: In Problem E13 (see Week 8 below), you will find a *Hint* for Part (c) in **HOLR**. Please take the hint regarding the use of the
command **simplify**, but you are advised to ignore the hint regarding the command **factor**. A similar comment applies to Problem E18.

## Week 1.

### Due Date: Feb 2

**Problem Set A**

Sections 0, I.1 & I.2

## Week 2.

### Due Date: Feb 9

**Problem Set B, Problems: ***2, 7*

Sections I.3 & I.4

## Week 3.

### Due Date: Feb 16

**Problem Set B, Problems: ***11, 19*

**Problem Set C: Problem ***1*

Sections I.5 & I.6

## Week 4.

### Due Date: Feb 23

**Problem Set C: Problems: ***6, 11, 18*

Sections I.7 & I.8

## Week 5.

### MATLAB Presentation: *Numerical and Graphical Methods for 1st
Order Eqns*, Tuesday, Feb 24

## First Exam: Thursday, Feb 26

## Week 6.

### Due Date: Mar 9

**Problem Set D, Problems: ***2, 7*

Sections II.1, II.2 & II.3

## Week 7.

### Due Date: Mar 23

**Problem Set D, Problems: ***12, 15*

Section II.4, II.5,

## Week 8.

### Due Date: Mar 30

**Problem Set E, Problem: ***12*

Sections II.6, II.7

## Week 9.

### Due Date: Apr 6

**Problem Set E, Problem: ***13*

Section II.8

## Second Exam: Thursday, Apr 2

## Week 10.

### Due Date: Apr 13

**Problem Set E, Problems: ***18, 19*

Section II.9

Section III.1 & III.2

## Week 11.

### Due Date: Apr 20

**Problem Set F, Problem ***2*

Sections III.3-III.5

## Week 12.

### Due Date: Apr 27

**Problem Set F, Problem ***7*

Section III.6

### MATLAB Presentation: *Homogeneous Linear Planar Systems with Constant Coefficients*, Thursday, Apr 23

## Week 13.

## Third Exam: Tuesday, April 28

### Due Date: May 4

**Problem Set F, Problems: ***8, 9, 10*. You may do any TWO of these three problems. If you do all THREE, you may earn an extra 10 points on your total MATLAB grade.

Section III.7

## Week 14.

Sections III.8 &III.9

## Week 15.

### MATLAB Presentation: *Phase Portraits and Vector Fields for Systems that Arise from Population Models *, Tuesday, May 12

Final Exam Review Session on the afternoon of Wednesday, May 13

Final Exam: *Thursday, May 14, 1:30-3:30; Location To Be Announced*