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The table below is a rough guideline for the content of course lectures. Professors may reorder their lectures as necessary/desired. Section and page numbers below are from the textbook, Elementary Differential Equations and Boundary Value Problems, Boyce and DiPrima, 10^{th} ed.
Week 1:
Mar.711 
1  Introduction, Directional Fields 
2 
Chapter 2. First Order Differential Equations §2.2: Separable equations (also homogeneous equations  see #30 on page 49). §2.1: Linear equations; Method of integrating factors. 

Week 2:
Mar.1418 
3 
§2.3: Modeling with first order equations (tank problems). 
4 
§2.4: Differences between linear and nonlinear equations (existence and uniqueness theorems). §2.6: Exact equations and integrating factors. 

Week 3:
Mar.2125 
5 
Chapter 7. Systems of First Order Linear Equations §7.1: Introduction. §7.2: Review of matrices. 
6 
§7.3: Systems of linear algebraic equations; Linear independence, eigenvalues, eigenvectors. 

Week 4:
Mar.28Apr.1 
7 
§7.4: Basic theory of systems of first order linear equations. §7.5: Homogeneous linear systems with constant coefficients. 
8 
§7.5: Homogeneous linear systems with constant coefficients (continued). §7.6: Complex eigenvalues. 

Week 5:
Apr.48 
9 
§7.7: Fundamental matrices. 
10 
§7.8: Repeated eigenvalues. §7.9: Nonhomogeneous linear systems (variation of parameters only). 

Week 6:
Apr.1115 
11 
Chapter 4. Higher Order Linear Equations §4.1: General theory of n^{th} order linear equations. 
12 
§4.2: Homogeneous equations with constant coefficients. 

Week 7:
Apr.1822 
13 
Chapter 3. Second Order Linear Equations §3.2: Linear independence and the Wronskian. 
14 
§3.3: Complex roots of the characteristic equation. 

Week 8:
Apr.2529 
15 
§3.4: Repeated roots; Reduction of order. 
16 
§3.5: Nonhomogeneous equations; Method of undetermined coefficients. 

HOLIDAY: MonWed, 24 April  
Week 9:
May 913 
17 
§4.3: The method of undetermined coefficients. 
18 
§3.6: Variation of parameters. 

Week 10:
May 1620 
19 
§3.7: Mechanical and electrical vibrations. 
20 
§3.8: Forced Vibrations. 

Holiday: Thursday, 19 May  
Week 11:
May 2327 
21 
Chapter 6. The Laplace Transform §6.1: Definition of the Laplace transform. §6.2: Solution of initial value problems. 
22 
§6.3: Step functions. 

Week 12:
May 30June 3 
23 
§6.4: Differential equations with discontinuous forcing functions. 
24 
§6.5: Impulse functions. §6.6: The convolution integral. 

Week 13:
June 610 
25 
Chapter 10. Partial Differential Equations and Fourier Series §10.A: Derivation of the Heat Conduction Equation. §10.1: Twopoint boundary value problems. 
26 
§10.2: Fourier series. §10.3: The Fourier convergence theorem (briefly). 

Week 14:
June 1317 
27 
§10.4: Even and odd functions. 
28 
§10.5: Separation of variables, heat conduction in a rod. 

FINAL EXAMS: 20 June  2 July 