Homework
MATH 2552
Date Chapter/Topics or Page/Problems
M Jan 7 Calculus Review Review
T 8 Lecture 1: What is an ODE?
Introduction 1.1-2
W 9 1.1.1,4,15 Due W Jan 16 (HW 1)
1.2.4,12 Due W Jan 16
Th 10 Lecture 2: Some ODEs we can solve.
Separable and First Order Linear ODE
(mentioned autonomous ODE and modeling)
1.3, 2.1-2
M 14 1.3.2,5,11 Due W Jan 16
2.1.3,9,30 Due W Jan 16
2.2.2,3,17 Due W Jan 16
T 15 Lecture 3: More on autonomous ODE
Review: y' = f(x,y)
Transition x' = f(t,x)
Autonomous ODE: equilibrium points; stability
(mentioned modeling, existence and uniqueness)
2.3-4
W 16 2.3.2,3,16 Due W Jan 23 (HW 2)
2.4.10,11,16 Due W Jan 23
Th 17 Lecture 4: The logistic equation
limits and finite time blow-up
Existence and Uniqueness for Linear ODE
2.4-6 (reading)
M 21 (no recitation)
2.5.10,11,12 Due W Jan 23 (autonomous ODE)
T 22 Lecture 5: slope fields and numerical packages
W 23 2.6.10,11,12 Due W Jan 30 (HW 3)
Th 24 Lecture 6: Exact Equations (2.6)
(and a mixing problem; end of chapter 2)
M 28 2.7.5,15 Due W Jan 30
2.5.1 Due W Jan 30
2.4.4,7 Due W Jan 30
2.3.4,6 Due W Jan 30
T 29 a winter weather event (?)
W 30 3.2.2,4,8,10,16 Due W Feb 6 (HW 4)
2.4.8,10 Due W Feb 6
Th 31 Lecture 7: Nonlinear existence and uniquness
Linear systems (3.2)
Topics to cover:
1. A bit on numerics
2. A bit on systems
3. Existence and uniqueness for nonlinear ODE
M Feb 4 3.3.2,4,6 Due W Feb 6
T 5 Lecture 8: More on linear systems (3.3)
Existence and Uniqueness (2.4, 3.6 Thm. 3.6.1
6.2 Thm. 6.2.1)
Notes F
Notes L
W 6 2.1.5 Due W Feb 13 (HW 5)
2.2.19 Due W Feb 13
2.3.1,5 Due W Feb 13
2.4.5,9,14,17 Due W Feb 13
3.2.22,26 Due W Feb 13
Th 7 Lecture 9: Constant coefficient linear systems
(with a basis of eigenvectors)
Notes F
Notes L
M 11 3.2.27,30 Due W Feb 13
3.3.3,4 Due W Feb 13
T 12 Lecture 10: Inhomogeneities/equilibria
(for constant coefficient linear systems)
Notes F
Notes L
W 13 3.2.3,4,15,16 Due W Feb 20 (HW 6)
3.3.5,6,12 Due W Feb 20
Th 14 Exam 1 Grades F sections
Grades L sections
M 18 3.2.6,12,21 Due W Feb 20
3.3.25,26 Due W Feb 20
T 19 Lecture 11: Numerics and complex eigenvalues
W 20 3.4.2,6,8,21 Due W Feb 27 (HW 7)
8.1.1,2,6,11 Due W Feb 27
Th 21 Lecture 12: Numerics and complex eigenvalues
M 25 3.5.2,10 Due W Feb 27
8.3.2,8 Due W Feb 27
T 26 Lecture 13: Numerics, complex eigenvalues and Jordan form
W 27 3.6.1,2,3,13 Due W Mar 6 (HW 8)
8.3.3 Due W Mar 6
3.6.1,2,3,13 Due W Mar 6
Th 28 Lecture 14: Numerics and nonlinear systems
M Mar 4 7.1.1 Due W Mar 6
7.2.1 Due W Mar 6
T 5 Lecture 15: Nonlinear systems
W 6 4.1.1-5,8,14 Due W Mar 13 (HW 9)
Th 7 Lecture 16: Simple pendulum
M 11 4.2.10,12,15,16,22,24 Due W Mar 13
T 12 Lecture 17: pendulum and second order linear equations (L section)
W 13 8.4.1,2 Due W Mar 27 (HW 10)
4.3.32,33,34,44 Due W Mar 27
4.4.8,9 Due W Mar 27
4.5.17,18,19,20 Due W Mar 27
Th 14 Lecture 18: second order linear equations (both sections)
M 18 no classes this week
T 19 no classes this week
W 20 no classes this week
Th 21 no classes this week
M 25 4.6.9 (determine the period of the beats),10,11 Due W April 3 (HW 11)
6.1.4,10 Due W April 3
6.2.1,3,5,7 Due W April 3
T 26 Lecture 19: oscillators
W 27 7.1.19,20 Due W April 10 (HW 12)
7.2.23 Due W April 10
7.3.2,3 Due W April 10
7.4.2,3 Due W April 10
Th 28 Lecture 20: Exam review/oscillators
M April 1
T 2 Exam 2 Grades
W 3
Th 4 Lecture 22: F sections Oscillators
L sections Difference Equations Project
M 8
T 9 Lecture 23: F sections Damping Project
L sections Laplace Transforms
W 10 5.1.2,4,7,14,18 Due W April 17 (HW 13)
Th 11 Lecture 24: Oscillators/Laplace Transforms
M 15 5.2.1,11,12,14,20 Due W April 17
T 16 Lecture 25: Laplace Transforms
W 17 5.2.23,24,26,28 (extra problems---do not turn in)
5.3.2,4,8,10,12,14 (HW 14---do them, but do not turn them in)
Th 18 Lecture 26: Laplace Transforms
M 22 5.4.2,7,8,10 (do them, but do not turn them in)
5.5.3,8,22,23 (extra problems---do not turn in)
5.6.1,2,13,18 (do them, but do not turn them in)
T 23 Lecture 27: Laplace Transforms
W 24 5.7.1,3,5,16,17,18 (HW 15---do them, but do not turn them in)
Th 25 Final Exam Week
M 29
T 30 Final Exam L Sections (2:40-5:30)
W May 1
Th 2 Final Exam F Sections (11:00-2:10)
All Final Exam Grades