# Topics and Assignments

 Week-of Topics Assignments 1/20 - 1/24 Section 1.1: Modeling via Differential Equations Section 1.2: Analytic Technique: Separation of Variables Section 1.1 #4,5,7,8,9,12,13,15,17,19,21,22 Section 1.2 #2,4,7,10,15,18,26,28,32,33,35,39 Hand in Section 1.1: 5,9,12,19,22 Section 1.2: 2, 18, 32, 33, 39 DUE: February 11th. at the start of the class 1/27 - 1/31 Section 1.2: Analytic Technique: Separation of Variables Section 1.3: Qualitative Technique: Slope Fields Section 1.4: Numerical Technique: Euler's method Section 1.3: #1,2,3,10,12,13,14,15,16,17 Section 1.4: #2,6,7,8,10,11,13,15,18 Hand in Section 1.3: 10, 12, 14, 16, 17 Section 1.4: 6, 10, 11, 18 DUE: February 11th. at the start of the class 2/3 - 2/7 Section 1.5: Existence and Uniqueness of Solutions Section 1.6: Equilibria and the Phase Line Section 1.8: Linear Equations Section 1.5: #1,4,6,7,9,10,13,15 Section 1.6: #5,8,17,20,23,24,30,31,35,37 Section 1.8: #1,5,7,9,15,16,19,20,22,31 Hand in Section 1.5:4,7,10,15 Section 1.6: 5, 17, 30, 37 Section 1.8: 7,9,19,20,22 Section 1.9: 1,5,11,24 DUE: February 25th. at the start of the class No late homeworks accepted! 2/10 - 2/14 Section 1.9: Integrating Factors for Linear Equations Section 1.7: Bifurcations Section 2.1: Modeling via Systems Section 1.9: #1,5,11,24 Section 1.7: #2,7,9,12,17,22 Section 2.1: #7,8,15,16,20,21,22,23,24 Hand in Section 1.7:2,9,12,17,19 2/17 - 2/21 Section 2.2: The Geometry of Systems Section 2.3: The Damped Harmonic Oscillator Section 2.4: Additional Analytic Methods for Special Systems Section 2.2: #6,7,10,11,16,19,21,22,27 Section 2.3: #4,7,9,10 Section 2.4: #1,5,7,8,9,10 2/24 - 2/28 Section 3.1: Properties of Linear Systems and the Linearity Principle Section 3.2: Straight-Line Solutions Exam I Section 3.1: #4,6,9,10,13,16,24,28,33,34 Section 3.2: #2,5,7,8,12,16,17,18,22 Tuesday, February 25th. 3/3 - 3/7 Section 3.3: Phase Portraits for Linear Systems with Real Eigenvalues Section 3.4: Complex Eigenvalues Section 3.3: #2,5,6,10,14,19,20,21 Section 3.4: #1,3,5,9,11,15,22,24 Project I(Lab 5. page 147) DUE: March 6th. 3/10 - 3/14 Spring Break 3/17 - 3/21 Section 3.5: Special Cases: Repeated and Zero Eigenvalues Section 3.6: Second-Order Linear Equations Section 3.5: #3,7,13,15,16,19,21,22,24 Section 3.6:#7,10,12,29,34,36,40 3/24 - 3/28 Section 3.7: The Trace-Determinant Plane Section 4.1: Forced Harmonic Oscillators Exam II Section 3.7: #3,9,12,14 Section 4.1: #1,8,11,16,20,27,31,34,36,42 Tuesday March 25th. 3/31 - 4/4 Section 4.2: Sinusoidal Forcing Section 4.3: Undamped Forcing and Resonance Section 4.2: #9,11,14,15,16,17,19,23 Section 4.3: #5,6,13,14,16,21,24 4/7 - 4/11 Section 5.1: Equilibrium Point Analysis Section 5.2: Qualitative Analysis Section 5.1: #1,5,6,10,17,20 Section 5.2: #1-11 odd and 17-21 odd 4/14 - 4/18 Section 6.1: Laplace Transforms Section 6.2: Discontinuous Functions Section 6.1: #3,11,13,15,21,23,27 Section 6.2: #3,7,9,13,19 4/21 - 4/25 Section 6.3: Second-Order Equations Section 6.4: Delta Functions and Impulse Forcing Exam III Section 6.3: #5,18,29,31,32,33,34 Section 6.4: #1,3,5,6,7,9 April 22nd. (Tuesday) 4/28 -4/29 Review Final Exam : TBA