1.2

Separation of Variables

1 – 3, 5 – 9, 14, 15, 20, 25, 26, 31, 33-37 (turn in #34)

1.3

Direction Fields

1 – 3, 7-9, 11-16, 24

1.4

Euler’s Method

1, 2,5, 6, 12, 20

1.5

Existence & Uniqueness

1, 3- 7, 10, 13, 16, 18

1.6

Equilibria & The Phase Line

1, 2, 6, 7, 9, 10, 14, 15, 22, 23, 31, 32, 35, 37, 39-41,45-47 (turn in #45-47)

1.7

Bifurcations

1, 3, 5, 7 – 11, 17 (turn in #8)

1.8

Linear Differential Equations

1, 3, 6, 8, 9, 12, 16, 17, 19, 21, 25

Chapter 2: First Order Systems

2.1

Modeling Via Systems

1 – 19, 20 (a, b, c), 21 – 23, 25 – 30 (turn in #8)

2.2

The Geometry of Systems

1, 5, 7, 9 – 12, 15, 17 – 29

2.3

Analytic Methods for Special Systems

1, 3, 7, 9, 11, 13, 15, 19

2.4

Euler’s Method for Systems

1 – 11(odd), 8

3.1

The Linearity Principle

1 – 9, 11, 13, 16, 17, 20 – 23, 25 – 29

3.2

Straight-Line Solutions

1 – 23(odd), 16

3.3

Phase Planes, Real Eigenvalues

1 – 25 (odd), 20, 24, 26 (turn in #24 or #26)

3.4

Complex Eigenvalues

1 – 15(odd), 16, 23

3.5

Repeated and Zero Eigenvalues

1 – 11(odd), 10, 15, 17, 19

3.6

Second-Order Linear Equations

1 – 17 (odd), 22 (turn in #17 & #22)

3.7

The Trace-Determinant Plane

1, 2, 3, 5, 6, 9

4.1

Forced Harmonic Oscillators

1 – 39 (odd), read the result from #34 (turn in #40)

4.2

Sinusoidal Forcing

1 – 15 (odd), 16 – 21

4.3

Undamped Forcing & Resonance

1 – 17 (odd), 16, 18

5.1

Equilibrium Point Analysis

1, 3 – 7, 9 – 25 (odd), 18, 26 (turn in #26)

5.2

Qualitative Analysis

1 – 19 (odd), 4, 16, 18