MATH 305/550 - Spring 2014
                                                                    Differential Equations

Syllabi:
Math 305 (doc) (pdf)
Math 550 (doc) (pdf)

A successful Math 305 students will:
1. Come prepared to every class lecture. Preparation should include reviewing notes from the previous section, and pre-reading the material to be covered in class.
2. Complete every homework assignment (whether collected or not!). This will likely require 6-9 hours outside of class every week.
3. Seek help as soon as you are having difficulty. Use office hours and peer study groups to improve your performance.

Lecture Notes:
Section 2.1 (Differential Equations and Solutions)
Section 2.2 (Solutions to Separable Equations)
Lab (Direction Fields; supplementary information can be found in Section 2.1)
Section 2.4 (Linear Equations)
Section 2.7 (Existence and Uniqueness of Solutions)
Section 4.1 & Section 4.3 (Second-Order, Linear, Homogeneous Equations)
Section 4.5 (Inhomogeneous Equations; the Method of Undetermined Coefficients)
Lab (More Harmonic Analysis)
Section 9.1 (Spectral Analysis)

Homework:
Section 1.1 (pg. 6): 1-3, 5-10
            Turn in #6 (due 1/23)
Section 2.1 (pg. 25-26): 1-6, 12-15 (no sketches/plots)
            Turn in #4 (due 1/23)
Section 1.3 (pg. 14-15): 1-28 odd (no sketches/plots)
            Turn in #20 (due 1/23)

Section 2.2 (pg. 35-36): 1-18, 33, 34
            Turn in #16 (due 1/30)

Section 2.4 (pg. 55-56): 1-11, 13, 14-17
            Turn in #13 (due 2/6)

Section 2.3 (pg. 44-45): 1-4, 8-10
            Turn in #10 (due 2/20)
Section 2.5 (pg. 61-62): 1, 2, 4, 5, 8
            Turn in #2 (due 2/20)

Section 2.7 (pg. 86-87): 1-6, 25-32
            Turn in #27 (due 2/27)
Lab (due 2/27)

Section 4.1 (pg. 145-146): 13-20, 22-30
            Turn in #26 (due 3/13)
Section 4.3 (pg. 156): 1-38
            Turn in #28 (due 3/13)

Section 4.4 (pg. 163-164): 16-19, 20a
            Turn in #18 (due 3/27)

Section 4.5 (pg. 172-173): 1-8, 14-29
            Turn in #28 (due 4/3)

Section 4.6 (pg. 177): 1-14
            Turn in #14 (due 4/10)

Lab (due 4/24)
Section 8.1 (pg. 336-337): 7-16
            Turn in #14 (due 4/24)
Section 8.4 (pg. 359-361): 7-16, 18-21, 25, 26, 28
            Turn in #20 (due 4/24)

Section 9.1 (pg. 376-378): 1-11 (odd), 13-15, 17-27 (odd), 50

Writing/Project Resources:
Guide to Writing in Mathematics
Project Guidelines
Checklist for Writing Projects

Course Project

Miscellaneous:
Khan academy