MATH 224 - CHECKLIST FOR TEST 1 (WEDNESDAY, SEP. 23)

A. Understanding the basics of differential equations:  
	-when a given function is a solution
	-when a given graph represents a solution
	-same for initial value problems

B. Modeling (a word problem): simple population models, mixing problems etc.
		Sample exercises: 1.1.7,8,17; 1.2.39,42; Chapter Review 48,53,54

C. Qualitative Analysis (mostly, but not exclusively, for autonomous equations):
	-finding equilibria and classifying them 	
	-sketching phase lines
		Sample exercises: 1.6.1-12
	-rough sketches of solution graphs based on phase lines
	-long term behavior of solutions
		Sample exercises: 1.6.13-27
	-rough sketches of solution graphs based on slope fields
		Sample exercises: 1.3.7-10
	-matching equations with slope fields/phase lines
		Sample exercises: 1.3:16; 1.6:37, Chapter Review 49

D. Recognizing known classes of equations (separable, linear, etc.) and solving 
	equations/initial value problems analytically, if feasible
		Sample exercises: Chapter Review 21-39

E. Checking the hypotheses of and drawing conclusions from the 
	Existence/Uniqueness theorem
		Sample exercises: 1.5:1-16