
Professor Alexandru I. Suciu


MATH 2351 · Ordinary Differential Equations

Spring 2013


Course Information
Course

MATH 2351 · Ordinary Differential Equations, Sec 01, Key # 30769

Instructor

Alex Suciu

Course Web Site

www.northeastern.edu/suciu/MATH2351/ode.sp13.html

Time and Place

Mon, Wed 2:504:30 pm, in 409 Robinson Hall

Office

435 Lake Hall

Phone

(617) 3733899

Email

a.suciu@neu.edu

Office Hours

Mon, Wed 2:002:40 and 4:405:20, or by appointment

Teaching Assistant

Floran Kacaku.
Email: kacaku.f@husky.neu.edu
Phone: x5534.
Office hours: Mon, Wed, Th 1:002:00pm, in 541NI.

Textbook

Differential Equations, 4th ed., by Paul Blanchard, Robert L. Devaney, and Glen R. Hall, Brooks/Cole, 2011. [Online guide]

Grading policy

50% inclass quizzes and exams, 10% homework, 40% final exam


Homework Assignments
This course features the use of ordinary differential equations to model and analyze
various scientific problems involving population growth and decay, acceleration and
velocity, and mechanical vibrations. Various methods to solve differential equations
(both qualitative and quantitative) will be studied. Linear algebra techniques will be
developed, and applied to systems of differential equations. The Laplace Transform
method will also be introduced. Homework assignments will be posted here, as the
course progresses. The problems in bold are due the week after being assigned. The
problems in parenthesis are suggested as further homework; some of them will be
discussed in class after you have a chance to work on them.

Section

Problems

Homework due date

1. FirstOrder Differential Equations

1.1. Modeling via Differential Equations

4, 11 (1, 2, 5)

January 14

1.2. Separation of Variables

6, 20, 30, 34 (5, 11, 12, 13, 24, 25, 29, 33, 35)

1.5. Existence and Uniqueness

13, 14 (1, 2, 5, 6)

January 23

1.6. Equilibria and Phase Line

4/16 (3, 11, 12, 15, 23, 24, 29, 30)

1.8. Linear Differential Equations

4, 20, 22 (3, 9, 10, 19, 21)

1.9. Integrating Factors

(3, 4, 9, 12, 13, 14, 24)

2. FirstOrder Systems

2.1. Modeling via Systems

9/10, 20 (21, 22)

February 6

2.2. The Geometry of Systems

10, 12 (7, 9, 11, 13, 16)

2.3. The Damped Harmonic Oscillator

2(b,c) (5, 6, 7, 8)

2.4. Analytic Methods for Special Systems

2 (1, 3, 4, 8, 9)

3. Linear Systems

3.1. Linearity Properties

(5, 6, 7, 10, 11, 19, 24, 25, 27, 28)

February 27

3.2. Straightline Solutions

6, 10 (3, 5, 6, 11, 12, 13, 14, 19, 21)

3.3. Phase Plane for Real Eigenvalues

4, 8 (1, 2, 3, 4, 9, 13, 19, 20)

3.4. Complex Eigenvalues

4, 6 (3, 5, 7, 8, 11, 12, 13)

3.5. Repeated and Zero Eigenvalues

6, 8 (1, 2, 5, 11, 17, 18)

March 20

3.6. Secondorder Linear Equations

14, 20 (7, 8, 15, 16, 17, 23, 24, 25)

3.7. TraceDeterminant Plane

2, 4 (3, 6, 7, 11, 12, 13)

4. Forcing and Resonance

4.1. Forced Harmonic Oscillators

18 (1, 2, 5, 6, 9, 10, 13)

April 3

4.2. Sinusoidal Forcing

18 (1, 2, 5, 11, 12, 20)

4.3. Resonance

10 (1, 2, 3, 9, 13, 21)

5. Nonlinear Systems

5.1. Equilibrium Point Analysis

12, 16, 22(a,b) (1, 2, 3, 4, 7, 8, 15, 17, 21, 23)

6. Laplace Transforms

6.1. Laplace Transforms

14 (11, 13, 15, 17, 19, 21, 23, 25)

April 17

6.2. Discontinuous Functions

12 (5, 7, 9, 10, 11, 13)

6.3. Second Order Equations

18, 28, 30 (15, 16, 17, 27, 29, 31)

6.4. Delta Functions and Impulse Forcing

4 (2, 3, 5)

Class Materials
Some practice quizzes and exams (most with solutions) can be found here.
Various Policies

Without prior notice, there will be no makeups of quizzes. In there is a legitimate reason for missing a quiz, you must contact me before the event.
On the other hand, I will drop the lowest quiz score, so one missed quiz will not count as a zero.

You are responsible for information conveyed in class (even if you are absent) or posted on the course web site.

If you have a concern about the course that cannot be resolved by speaking with me, please see the Undergraduate Math Director.

All students without legitimate conflicts (approved by the instructor) must take the final exam at the scheduled time. Do not make travel plans that conflict with the final exam.

It is University policy that no grade, including an Incomplete, can be changed after one year; exceptions must be authorized by the Academic Standing Committee.
