University of Memphis

Dept Math Sciences

Dwiggins

Spring 2023

Course outline for MATH 2120, Differential Equations

We will cover the first eight chapters from the textbook
(see below).

Chapters 1, 2, 3 cover applications and methods of solving first order
equations.

Chapters 4 and 5 cover applications and methods of solving higher ordered equations.

Chapter 6 covers series solutions, Chapter 7 covers Laplace
Transforms, and

Chapter 8 covers systems of linear equations.

**Course
Description:**

Methods of integration, covered in Calculus II, are used to
solve first-order ordinary

differential equations, motivated by problems in physics, engineering, and
biology.

We next study linear higher-ordered equations, with in-depth
analysis of the second

order equations describing vibrational mechanics and electric (RLC) circuits.

Next, series methods (again, as covered in Calculus II) are
used to find solutions

to other equations (again, mostly motivated from electromagnetic theory), which

leads to an entire new class of functions defined as solutions to certain
differential

equations. At different times during the
semester we will also discuss methods

derived by

specific problems described above. Finally,
we look at linear systems of differential

equations, with different equations coupled in a way described by matrix
theory, and

the nature of solutions to such systems.

During each part of the course, we first analyze how the
information given by the

differential equation may be used to describe the general behavior of
solutions,

before actually trying to find the exact solutions in various cases.

** **

**Course
Prerequisite:**

MATH 1910 and 1920 (Differential and Integral Calculus, along with Sequences and Series).

**Textbook:**

A First Course in Differential Equations,
Dennis G. Zill, either the tenth or eleventh edition.

An electronic version of the 11^{th} edition is available with
WebAssign access (webassign.net).

**Instructor: **D.
P. Dwiggins (ddwiggns@memphis.edu)

BS, Physics, Southwestern at

MS, Mathematics,

PhD, Differential Equations,
Southern

**Office: **Dunn Hall, Room 368, 678-4174

**Hours: **9:00-10:00 Mondays, 11:00-1:00 Tuesdays and Thursdays,

with afternoon
hours available upon request.

**Course Evaluation:**

There will be three 100-point tests and a 100-point daily average based
on written

homework assignments (taken from the textbook).
The final exam is also worth

100 points, and may be used to replace a lower test score. The semester average

is then based on dividing this 500-point total by five. You can raise this average

using the additional homework assignments posted on WebAssign, giving a

600-point total to be divided by six.

**Grade Calculation:**

Based on the semester average, grades are assigned according to the
posted Grade Scale.

**Make-Up Policy:** Three-day
make-up (with excuse) for missed test or exam.

**Attendance Policy:** As
needed for purposes of reporting to the University.

**Class Meetings:** Dunn
Hall, Room 225, 11:30-12:25 MWF.