# Courses

## Math 2700 - TH 12:30-1:45 (15996) and MWF 10:10-11 (31849)

Syllabus for 15996

Syllabus for 31849

Office Hours (633 Boyd):  Monday 11:30-12:30; Tuesday 10-11, and Wednesday 9-10.

Homework:

(1) Section 1.1: 2, 4, 6, 7, 10, 12; Section 1.2: 6, 14, 18, 22, 30, 34, 42
Due at the beginning of class on (31849) Wednesday 8/24; (15996) Thursday 8/25.
Solutions to Homework 1

(2) Section 1.3: 6 (skip parts b and c), 14, 16, 20, 22; Section 1.4: 5, 6, 14, 18; Section 1.5: 2, 4, 15, 18 (use interval 0<=t<=pi and step size =pi/12)
Solutions to Homework 2

(3) Section 1.6: 4, 16, 22, 24, 28; Section 1.7: 4, 10, 20.
Due at the beginning of class on (31849) Friday 9/9; (15996) Thursday 9/8.
Solutions to Homework 3

(4) Section 1.8: 2, 12, 23, 30; Section 1.9: 2, 10, 14, 20, 24
Quiz on Thursday/Friday: solving a linear ODE.

(5) Section 2.1: 2, 3, 4, 19, 20, 22; Section 2.2: 4 (skip c), 10, 11; Section 2.4: 1, 4, 7, 13; Section 1.8: 33
To turn in: 1.9: 24; 2.1: 20, 22; 2.4: 1, 4.
Due in class Tuesday 10/04 or Wednesday 10/05.
Solutions to Homework 4
Remark: Error on Section 1.9 #24 on integration step. The term 30 should be replaced with 30t which affects the following numbers in the computation as well.

(6) Section 2.5: 2, 8; Section 3.1: 16, 18, 24, 26, 34

(7) Study guide for Exam 2: 1.8 #2; 1.9 # 2, 10; Ch. 1 Review Exercises #54; 2.4 #7, 2.5 # 8; 3.1 #16, 26.

(8) Green-square problem on exam 2. No partial credit. 3.2 # 10 (for part (c), plot corresponding straight-line solutions and direction vectors at following 4 points: p1 = (3, 1), p2 = (-1, 1), p3=(-3, -1), p4 = (1, -1)). #14(skip part c).
Due at the beginning of class on (31849) Wednesday 10/26; (15996) Thursday 10/27.

(9) Suggested Exercises: 3.2 #2, 8, 15, 22; 3.3# 2, 6, 3.4 #4 (skip e), #10

(10) Suggested Exercises: 3.6: #10, 14, 22, 39; Trace-Determinant plane: Use the TD plane to determine the type of system (sink, source, saddle, spiral sink, spiral source, periodic) given in 3.2#3, 6 and 3.4 #5, 9; 4.1:#3,6, 4.2: #6, 23.

(11) Study guide for Exam 3:

1. For the systems 3.2 #3, 7, (a) find the general solution (b) sketch the phase portrait
2. For the system 3.4 #5, 9, Use the TD plane to determine the type of system (sink, source, saddle, spiral sink, spiral source, periodic). If spiral or periodic, determine direction of oscillation: clockwise or counterclockwise.
3. For 3.6 #15, (a) write the second order differential equation, (b) find general solution y(t) (DON'T change to system and solve system.) (c) classify oscillator: overdamped, underdamped, critically damped, or undamped.
4. Find the general solution for 4.1 #5, 4.3 #1
5. Think about it: does linearity principle hold for a non-homogeneous second order linear equation?

(12) Optional homework to replace lowest homework grade. 6.1 #16, 18; 6.2 #10; 6.3 #28; Will not be accepted after 4pm on 12/07. You may turn it in in class, my office, or slip under office door if I'm not present.

(13) Study guide for Final Exam:

1. 1.3 #22 (a) solve using separation of variables (b) solve using Laplace transform
2. 1.5 #9; 1.6 #7, 19; 1.7 #19; 1.8 #11
3. 3.2 #11; 3.3 #7; 3.4 #11
4. 4.3 #9 (a) solve using guessing (b) solve using Laplace transform

Exams - you may use a scientific calculator; no graphing calculators.

T/Th: Review for exam 1, 9/13 (Bring questions!); Exam 1, 9/15.
Review for exam 2, 10/11; Exam 2, 10/13.
Review for exam 3, 11/15; Exam 3, 11/17.
Final Exam: 12:00 - 3:00 pm, Thur., Dec. 8.

MWF: Review for exam 1, 9/14 (Bring questions!); Exam 1, 9/16.
Review for exam 2, 10/12; Exam 2, 10/14.
Review for exam 3, 11/16; Exam 3, 11/18.
Final Exam: 8:00 - 11:00 am, Mon., Dec. 12.

If you have a final exam conflict or three exams scheduled within a 24 hour period, here's the protocall to get things rescheduled:
https://curriculumsystems.uga.edu/curriculum/final-examination-schedule-conflicts