This course is administered through Canvas. This page serves as a backup for course notes and recorded lectures.

Monday 5/16 Vector Calculus Review

Lecture Video
VectorCalculusReview_BeforeNotes.pdf
VecCalc_ODEsReview_AfterNotes_Complete.pdf

Wednesday 5/18 Sec 4.10 Linearity, vector spaces, inner_product spaces, orthogonal projection

Lecture Video
Sec_4.10BeforeNotes.pdf
Sec_4.10AfterNotesComplete.pdf

Monday 5/23 12.1-2: Conservation and heat transfer, derivation of the heat equation, diffusion, Fourier's law and Fick's law.

Lecture Video
Sec_12.1_and_12.2_Before_Notes-1.pdf
Sec12.1,12.2AfterNotesComplete.pdf

Wednesday 5/25 12.3-5, Boundary conditions: Dirichlet, Neumann, Robin conditions and their physical interpretations, equilibrium solutions.

Lecture Video
Sec_12.3,_12.4,12.5Before_Notes.pdf
Sec_12.3,_12.4,12.5AfterNotesincomplete.pdf

Wednesday 6/1 13.1-2, linearity, homogeneity and non-homogeneity, separation of variables, heat equation with zero-end-temperature

Lecture Video
Sec_13.1-13.2BeforeNotes.pdf
Sec_13.1-13.2_AfterNotes.pdf

Monday_6/6 13.3: Separation of variables

Lecture Video
Sec_13.3BeforeNotes.pdf
Sec_13.3AfterNotes.pdf

Wednesday 6/8 13.4: Insulated_boundaries, heat transfer on a ring, superposition with equilibrium solution.

Lecture Video
Sec_13.4BeforeNotes.pdf
Sec_13.4AfterNotes.pdf

6/13 Review Day

Lecture Video
No notes
No notes

Monday 6/20 13.5 Laplace’s equation on rectangles and disks

Lecture Video
Sec_13.5BeforeNotes.pdf
Sec_13.5AfterNotesIncomplete.pdf

Wednesday 6/22 14.1-2, Fourier series

Lecture Video
Sec_14.1-14.2BeforeNotes.pdf
Sec_14.1-14.2AfterNotes.pdf

Monday 6/27 14.3: Sine and cosine series

Lecture Video
Sec14.3BeforeNotes.pdf
Sec14.3AfterNotesComplete.pdf

Wednesday 6/29 15.1-2: Derivation of the wave Equation

Lecture Video
sec15.1-15.4BeforeNotes.pdf
sec15.1-15.2AfterNotes.pdf

Wednesday 7/6 15.3-4: Wave equation solutions

Lecture Video
sec15.1-15.4BeforeNotes-1.pdf
sec15.1-15.4AfterNotes.pdf

Monday 7/11 Review_Day

Lecture Video
no notes
no notes

Monday 7/18 16.1-2: Fourier transforms

Lecture Video
Sec_16.1-16.2BeforeNotes.pdf
Sec_16.1-16.2AfterNotes.pdf

Wednesday 7/20_16.3-4: Convolution theorem, shift theorem, Heat/diffusion kernel.

Lecture Video
Sec_16.3-16.4BeforeNotes.pdf
Sec_16.3-16.4AfterNotes.pdf

Wednesday 7/2716.4: D’Alembert’s solution to the wave equation

Lecture Video
Wave Equation on the Real Line.pdf
no notes

Monday 8/1 Review

Lecture Video
no notes
no notes

Friday 8/5 FINAL EXAM 7:30am-9:30am in our regular classroom.

Lecture Video
no notes
no notes