Day  Topics  Notes 
22Aug2016 
Section 5.1: Power series method for variable coefficient ODEs 
Please also review Sections 1.13.3 (Review of ordinary differential equations (ODES)) 
24Aug2016 
Section 5.2: Legendre's equation and Legendre polynomials 

29Aug2016 
Section 5.2: Legendre's equation and Legendre polynomials Section 5.3: Extended power series method: Frobenius method 
Lecture notes 
31Aug2016  Section 5.4: Bessel's equation, and Bessel functions of the first kind  Lecture notes 
07Sep2016 
Section 10.1: Line integrals Section 10.2: Path independence of line integrals 

12Sep2016  No Class, but read section 10.3  
14Sep2016 
Section 10.2: Path independence of line integrals Section 10.3: Double integrals 

19Sep2016 
Section 10.4: Green's Theorem Section 10.5: Surfaces 

21Sep2016 
Section 10.6: Surface integrals Section 10.7: Triple integrals and Gauss's divergence theorem 

26Sep2016 
Section 10.7: Triple integrals and Gauss's divergence theorem Section 10.8: Applications of the divergence theorem 

28Sep2016 
Section 10.8: Applications of the divergence theorem Section 10.9: Stokes's theorem 

03Oct2016 
Section 10.9: Stokes's theorem 

05Oct2016 
Section 11.1: Fourier Series 

10Oct2016 
Review for midterm exam 

12Oct2016  Midterm exam  Chapters 5 and 10  
17Oct2016 
Section 11.2: Fourier series over arbitrary domains, etc. Section 11.3: Forced oscillations 

19Oct2016 
Section 11.3: Forced oscillations Section 11.4: Approximation by trigonometric polynomials 

24Oct2016 
Section 11.5: SturmLiouville problems Section 11.6: Orthogonal series 

26Oct2016 
Section 11.6: Orthogonal series 
Mathematica codes: FourierLegendreSeries.nb,
FourierBesselSeries.nb. Matlab codes (requires Chebfun): FourierLegendreSeries.m, FourierBesselSeries.m. 
31Oct2016 
Section 11.7: Fourier integral Section 11.8: Fourier cosine and sine transforms 

2Nov2016 
Section 11.8: Fourier cosine and sine transforms Section 11.9: Fourier transform 

Ch. 11 Lecture notes  
7Nov2016 
Section 11.9: Convolution Section 12.1: Intro to PDEs Section 12.2: Derivation of the wave equation 

9Nov2016 
Section 12.3: Solution of the wave equation 
Wave equation example 
14Nov2016 
Handout takehome midterm Section 12.4: D'Alembert's solution to the wave equations 
D'Alembert example 
16Nov2016 
Takehome midterm due Section 12.6: Heat equation: solution by Fourier series 
Heat equation example 
28Nov2016 
Section 12.6: Heat equation: solution by Fourier series 
Heat equation example 
30Nov2016 
Section 12.7: Heat equation: Fourier transform solution Section 12.12: Heat equation: Laplace transform solution 

05Dec2016 
Section 12.10: Wave equation and Laplace's equation on the disk 

07Dec2016 
Section 12.10: Wave equation and Laplace's equation on the disk Review for final exam 
Harmonics of a circular drum 
You are also encouraged to check out these suggestions from the Mathematics Department at
Harvey Mudd on
formatting homework assignments in
mathematics.
Due date  Problem set  Notes 
07SEP2016  HW01  Select solutions 
21SEP2016  HW02  Select solutions 
05OCT2016  HW03  Select solutions 
26OCT2016  HW04  Select solutions 
09NOV2016  HW05  Select solutions 
30NOV2016  HW06  Select solutions 
09DEC2016  HW07  Select solutions 