Syllabus, Math 2350, Winter 1998

Schedule and assignments
Differential Equations, Math 2350, Winter 1998

(Last modified April 3, 1998.) Watch this date, as assignments will be added during the semester.
Also, it is possible that there will be some slight modifications to this schedule.

Course information.

Tues 1/13 Sect. 1.1 Modelling Exer 1,3,13,14,18 and Lab homework 1

Thur 1/15 Sect. 1.2 Separation of variables Exer. 1,2,5,7,14,25
Sect. 1.3 Slope fields Exer. 1,2,8,11

Tues 1/20 Sect. 1.3 (cont.) Exer. 14-18

Sect. 1.4 Euler's method Exer. 5,6,10,11

Thur 1/22 Sect. 1.5 Existence and uniqueness Exer 1-3, 5-8, 10,12.

Start Lab 1.

Tues 1/27 Sect. 1.6 Equilibrium and the phase line Exer. 2,3,6,10,11,14, 23-31 odd.

Thur 1/29 Sect. 1.7 Bifurcations Exer. 1,2,3,5,7,16,17.
Lab 1 due.

Tues 2/3 Sect. 1.8 Linear equations Exer. 1,3,7,11,21.

Thur 2/5 Sect. 1.8 (cont) and review

Tues 2/10 EXAM 1

Thurs 2/12 Sect. 2.1
Sect. 2.2 Predator-prey systems
Systems Exer. 7,8,9,16,17
Exer. 1-9,11,17-20.

Tues 2/17 Sect. 2.3 Graphical representations Exer 1,3,5.    Start Lab 2.

Thur 2/19 Sect. 2.4 Harmonic oscillator Exer. 2,5,6,7,12,13,14.

Tues 2/24 Sect. 2.6 Qualitative analysis Exer. 1,3,19,20,21.

Thur 2/26 Sect. 3.1 Linear systems Exer. 5-9,16,17,27,33,34.

Tues 3/3 Sect. 3.2 Straight line solutions Exer. 1,3,9,11,17,24,37.

Lab 2 due.

Thur 3/5 Sect. 3.3 Real eigenvalues Exer. 1,3,5,7,15,17,21

Sect. 3.4 Complex eigenvalues Exer. 1-13 odd, 21, 29

Tues 3/10 Review and summary

Thur 3/12 EXAM 2

----------- ---------- SPRING BREAK ----------------------

Tues 3/24 Sect. 3.5 Repeated and zero eigenvalues Exer. 1,3,5,10,11,21

Sect. 3.6 Families of systems Exer. 29,30,31,32.    Start Lab 3.

Thur 3/26 Sect. 4.1 Equilibrium point analysis Exer. 1-4,7,14,17,21-23,27,29

Tues 3/31 Sect. 4.1 (cont.)

Thur 4/2 Sect. 4.2 Hamiltonian systems Exer. 1,2,9-18.

Tues 4/7 Sect. 4.3 Dissipative systems Exer. 1,2,3,12,13,14,20,21.    Lab 3 due.

Thur 4/9 Review of nonlinear systems

Tues 4/14 EXAM 3

Thur 4/16 Sect. 8.1 Laplace transforms Start Lab 4 .

Tues 4/21 Sect. 8.2 Second order ODEs

Thur 4/23 Sect. 8.4 Qualitative theory

Thur 4/30 FINAL EXAM (Comprehensive) 1:20 - 3:50, in 127 State Hall.    Lab 4 due.

Tues 1/13	Sect. 1.1	Modelling	Exer 1,3,13,14,18 and Lab homework 1
Thur 1/15	Sect. 1.2	Separation of variables	Exer. 1,2,5,7,14,25
	Sect. 1.3	Slope fields	Exer. 1,2,8,11
Tues 1/20	Sect. 1.3	(cont.)	Exer. 14-18
	Sect. 1.4	Euler's method	Exer. 5,6,10,11
Thur 1/22	Sect. 1.5	Existence and uniqueness	Exer 1-3, 5-8, 10,12.
			Start Lab 1.
Tues 1/27	Sect. 1.6	Equilibrium and the phase line	Exer. 2,3,6,10,11,14, 23-31 odd.
Thur 1/29	Sect. 1.7	Bifurcations	Exer. 1,2,3,5,7,16,17. Lab 1 due.
Tues 2/3	Sect. 1.8	Linear equations	Exer. 1,3,7,11,21.
Thur 2/5	Sect. 1.8	(cont) and review
Tues 2/10	EXAM 1
Thurs 2/12	Sect. 2.1 Sect. 2.2	Predator-prey systems Systems	Exer. 7,8,9,16,17 Exer. 1-9,11,17-20.
Tues 2/17	Sect. 2.3	Graphical representations	Exer 1,3,5. Start Lab 2.
Thur 2/19	Sect. 2.4	Harmonic oscillator	Exer. 2,5,6,7,12,13,14.
Tues 2/24	Sect. 2.6	Qualitative analysis	Exer. 1,3,19,20,21.
Thur 2/26	Sect. 3.1	Linear systems	Exer. 5-9,16,17,27,33,34.
Tues 3/3	Sect. 3.2	Straight line solutions	Exer. 1,3,9,11,17,24,37.
			Lab 2 due.
Thur 3/5	Sect. 3.3	Real eigenvalues	Exer. 1,3,5,7,15,17,21
	Sect. 3.4	Complex eigenvalues	Exer. 1-13 odd, 21, 29
Tues 3/10		Review and summary
Thur 3/12	EXAM 2
-----------	----------	SPRING BREAK	----------------------
Tues 3/24	Sect. 3.5	Repeated and zero eigenvalues	Exer. 1,3,5,10,11,21
	Sect. 3.6	Families of systems	Exer. 29,30,31,32. Start Lab 3.
Thur 3/26	Sect. 4.1	Equilibrium point analysis	Exer. 1-4,7,14,17,21-23,27,29
Tues 3/31	Sect. 4.1	(cont.)
Thur 4/2	Sect. 4.2	Hamiltonian systems	Exer. 1,2,9-18.
Tues 4/7	Sect. 4.3	Dissipative systems	Exer. 1,2,3,12,13,14,20,21. Lab 3 due.
Thur 4/9		Review of nonlinear systems
Tues 4/14	EXAM 3
Thur 4/16	Sect. 8.1	Laplace transforms	Start Lab 4 .
Tues 4/21	Sect. 8.2	Second order ODEs
Thur 4/23	Sect. 8.4	Qualitative theory
Thur 4/30	FINAL EXAM	(Comprehensive)	1:20 - 3:50, in 127 State Hall. Lab 4 due.