Math 302. Differential Equations - Fall 14 - Hans Lindblad
Announcements:

Instructor: Hans Lindblad. lindblad@math.jhu.edu Office hour MWF 2.30-3 in Krieger 406. Teaching Assistants:
Po-Yao Chang. pchang@math.jhu.edu Office hour W 3.30-4.30 Th 1-2 in Krieger 200. In Help room T 3-5
Alexander Grounds. aground1@math.jhu.edu Office hour F 3.30-4.30 in Krieger 211. In Help room W 1-3
Cong Ma. cma@math.jhu.edu Office hour Th 4-6 in Krieger 200. In Help room F 3-5.
Xing Wang. xwang@math.jhu.edu Office hour Th 2-4 in Krieger 201. In Help room T 5-7.
Help Room M-Th 9-9 and F 9-5 in Krieger 213
Text: Boyce & Diprima, 'Differential Equations with Boundary Problems' 10th ed. 2012 (Hopkins ed.).
Alternative Reading: Blanchard, Devaney & Hall, 'Differential Equations'
Extra Reading: Hirsh, Smale & Devaney, Differential Equations, Dynamical Systems & an introduction to Chaos'
Online ODE Solvers: onlinesciencetools, zweigmedia, dfield, JOde (may requrire firefox)
Lectures MWF 12.00-12.50 or 1.30-2.20 in Krieger 205. Preliminary schedule:
wk  date  Monday  Wednesday  Friday
  0  8/25  No class  No class  1.1 Direction field. Solution
  1  9/1  Holiday 1.2-3 Differential Equation Types  2.1 Linear Eq. Integrating factor
  2  9/8  2.2 Separable eq, 2.6 Exact eq  2.3 First order models, more 2.6  2.4 Nonlinear Equations 2.8 Exist
  3  9/15  2.5 Population Dynamics  3.1 Second ord linear const coeff  3.2 Fundamental Solution set
  4  9/22  3.3 Complex roots  3.4 Repeated roots Reduct order  3.5 Undetermind coefficinets
  5  9/29  3.6 Variation of Parameters  3.7-8 Forced and Free vibrations  Review
  6  10/6  Midterm I,  6.1-2 Laplace transform  6.2 Solving ODE with Laplace
  7  10/13  6.3-4 Step funct.-Discont.forcing  6.5-6 Impulse funct.-Convolution  Th 2.7 Numerics 2.8 Existence
  8  10/20  7.1-2 Systems ODE-Matrix mult.  7.2-3 Algebraic Systems  7.3 Eingenvector 7.5
  9  10/27  7.5 Distinct eigenvalues  7.6 Complex eigenvalues  7.8 Repeated eigenvalues
10  11/3  7.7 Exponential matrix  7.9 Inhomogeneous systems  Review
11  11/10  Midterm II  9.1-3 Nonlinear systems Stability  9.1 Linear Systems Phase Portrait
12  11/17  9.2-3 Linear Approximation  9.2-3 Trajectories. Pendulum    9.6 Liapunov functions. Energy  
13  11/24  No class  No class  No class
14  12/1  9.4 Competing spicies    9.5 Predator-Prey    Review Old Finals
wk  due  Homework (preliminary) Due in class on Mondays. TBA=to be announced, i.e. more to come  Solution
  1  9/8  1.1:4,8,12,20,24, 1.2:2,4,7,18, 1.3:5,6,7,17,  
  2  9/15  2.1:1,6,12,13,15,17,27, 2.2:3,4,8,12,21,23,28, 2.3:2,4,10,13,14,  
  3  9/22  2.4:3,4,10,14,23, 2.5:3,7,10,20,24, 2.6:1,4,5,6,10,  
  4  9/29  3.1:3,5,10,12,17,22, 3.2:3,4,8,14,22,38, 3.3:2,5,10,18,22,25,  
  5  10/6  3.4:4,12,21,24, 3.5:2,10,18,29,35, 3.6:4,7,14,21,23, 3.7:3,6,11, 3.8:1,9,10  
  6  10/13  6.1:5a,6,9,15,19, 6.2:3,6,12,22,29,  
  7  10/20  6.3:12,15,22,27, 6.4:5,10,15, 6.5:1,5,25, 6.6:4,9,15,  
  8  10/27  2.7:1,9,16, 2.8:2,4,8, 7.1:2,6,16,22, 7.2:4,8,10,16,20,22,25  
  9  11/3  7.3:2,10,16,20,22,26, 7.4: 7.5: 2,7,14,18,25,27, 7.6:2,8,9,14,18,  
10  11/10  7.6:, 7.7:3,11,15,16,18, 7.8:1,2,5,6,7,15,17, 7.9:1,3,7,17,  
11  11/17  9.1:1,2,5,15,20,21,22,  
12  11/24  No Homework  
13  12/1  9.2:2,10abc,15abc,19,21,23,26, 9.3:1,5,14,20,22,26,  
14  12/5  9.4:2,4,5,8,16 9.5:2,3,9,11, 9.6:1,3,6,7  
Grades: 20% each midterm, 50% final and 10% homework (no late homeworks but the lowest 2 scores are dropped)