Exam Instructions for MATH-2400, Introduction to Differential Equations
## MATH-2400, INTRODUCTION TO
DIFFERENTIAL EQUATIONS

# EXAMS

**Instructor:** Gregor Kovacic

**Office:** 420 Amos Eaton

**Phone:** 276-6908

**E-mail:** kovacg@rpi.edu

### Exam 1

Will be given in class on Friday,
October 5, 2018.
It will cover the following material:
first-order linear and separable differential equations; general, implicit, and explicit solutions;
word problems with applications of linear first-order equations; population dynamics and graphical solution
of autonomous first-order equations; second-order linear homogeneous equations with constant coefficients,
solutions corresponding to real, complex, and double real roots of the characteristic equation.
It will cover problems 1 through 34 on the
suggested homework list.

### Exam 2

Will be given in class on Friday, November 2, 2018.
It will cover the following material:
Method of undetermined coefficients, mechanical oscillations (free, damped, overdamped, resonantly
forced, driven and damped, steady solutions), Euler's equation, variation of parameters. It will cover problems 35 through 45, 49 through 64
on the
suggested homework list.
For this test, you can also use this
table in addition to the crib sheet.

### Exam 3

Will be given in class on Tuesday, December 4, 2018.
It will cover the following material: 2x2 systems of linear 1st order differential equations with constant
coefficients, general solutions for distinct real eigenvalues and for complex-conjugate eigenvalues, particular
solutions for given initial points, plotting trajectories (phase portraits) in the phase plane, sources, sinks,
saddles, centers, spiral sources, spiral sinks,
stability type, Fourier series, Fourier coefficients,
series for odd and even functions, odd and even extensions and half-range sine and cosine series,
eigenvalue and eigenfunction problems. It will cover
problems 101 through 109 and 65 through 81 on the
suggested homework list.

You are allowed one, two-sided, handwritten sheet (8.5 by 11 inches) of notes.
No other aids (books, notes, calculators, laptops, cell phones, etc.) are allowed.

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