In some instances there are a lot of problems of the similar type, some of them
you have already seen in the homework. The main goal of the practice is to know how to do these different types of problems. If you are having trouble with 
a particular integral, or something similar, don't worry about it too much. I plan to give you easier functions on the test, to check your familiriaty with 
concepts and methods, not your skills in subtlties of calculus, per se.
<br><br>
Chapter 2. Graphical analysis of 1-dim systems
(vector fields, fixed points, stability, typical solutions vs. time). 
Stability of fixed points
analytically (derivative). POtentials.
<br>
2.2.1-2.2.6, 2.2.9, 2.4.1-2.4.8, 2.7.1-2.7.6
<br><br>
Chapter 3. Different vector fields for different parameter values. Identify
bifurcation. Sketch bifurcation diagram. Determine bifurcation type
analytically (Taylor's expansion) 
<br>
 3.1.1-3.1.4, 3.2.1-3.2.4, 3.4.1-3.4.8
<br><br>
Chapter 4. Vector field on a circle. Bifurcations of this vector field. Phase diference equation for uniform oscillators. Computing period of oscillation. 
<br>
4.1.2-4.1.7, 4.2.1, 4.2.2b), 4.2.3, 4.3.3-4.3.8  
<br><br>
Chapter 5. Linear 2-dim systems. Matrix notation. Classification of fixed points. Notions of stability in 2d.
<br>
5.2.3-5.2.10, 5.2.13a)b)
<br><br>
Chapter 6. Phase planes, nullclines, vector fields, fixed points, classification
of fixed points, phase portrait. Index theory.
<br>
6.1.1-6.1.6, 6.3.1-6.3.6, 6.8.1, 6.8.6, 6.8.7
<br><br>
Chapter 7. POincare-Bendixon theorem. Relaxation oscillators and time-scale separation.
<br>
7.3.1, 7.3.3, 7.3.5,
7.5.3, 7.5.4, 7.5.5