1/10 Examples of plots of solution curves (transparencies)
1/12: Non-linear systems: classification, vector fields
1/17:Sketches of vector fields and solution curves on the plane; examples
1/19:solution curves, the local E/U theorem, vector fields on the line
1/22: a Predator/prey system with periodic solutions (Lotka-Volterra)
1/24 Potential motion on the half-line: phase space, conserved quantities, bounded/unbounded motions
1/26 Motion under central force fields: reduction of the phase space
1/29 Motion under central force fields: Kepler's laws
1/31 Review of part I
2/2 Exam 1
6.1 Graphical representation
of systems
1(e)(f) (hand sketches)
2(b)(g) (hand/computer)
4(b)(c) (computer plot of vector fields)
HW1 1/22
6.2 Basic existence
theorems (proofs omitted)
Vector fields on the real line
6.3 A predator/prey system
(example)
4
HW2 1/29
6.5 Mechanical systems with one
degree of freedom
2,3,7,9
HW2 1/29
(Analysis of "bead sliding on wire": not needed)
6.7 Central force fields
1(a)(b)(c) , 4, 5(a)
Exam 1 2/2
Sections 6.4 and 6.6 will not be covered in class (except
for
"central forces" in 6.6), but should be read individually
for completeness.