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

Monday 5/18: ODE's/Vector Calculus review

Lecture Video
VectorCalculusReview_BeforeNotes.pdf
VectorCalculusReviewAfterNotesCompleted.pdf

Wednesday 5/20: 12.1-3, derivation of heat/diffusion equation and boundary conditions

Lecture Video
Sec12.1_12.2_12.3BeforeNotes.pdf
Sec12.1,12.2,12.3AfterNotes.pdf

Friday 5/22: 12:3-5, boundary conditions, derivation of heat equation in 2-3D, polar coordinates

Lecture Video
Sec_12.4.pdf
Sec_12.4AfterNotes.pdf

Friday 5/22: 12:3-5, boundary conditions, derivation of heat equation in 2-3D, polar coordinates

Lecture Video
Sec_12.5.pdf
Sec_12.5AfterNotesComplete.pdf

Wednesday 5/27: 13.1-3, linearity, homogeneity and non-homogeneity, separation of variables, heat equation with zero-end-temperature.

Lecture Video
Sec13.1_13.2BeforeNotes.pdf
Sec_13.1-13.2AfterNotes.pdf

Wednesday 5/27: 13.1-3, linearity, homogeneity and non-homogeneity, separation of variables, heat equation with zero-end-temperature.

Lecture Video
Sec13.3BeforeNotes.pdf
Sec_13.3AfterNotesCompleted.pdf

Friday 5/29: 13.4 Separation of variables continued, insulated boundaries, heat transfer on a ring, superposition with equilibrium solution

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

Monday 6/1: 13.5 Laplace’s equation on rectangles and disks

Lecture Video
no notes
no notes

Wednesday 6/3: Review for Midterm

Lecture Video
Sec_13.5BeforeNotes.pdf
Sec_13.5AfterNotesComplete.pdf

Monday 6/8: 4.10 Inner product spaces

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

Wednesday 6/10: 14.1-3 Fourier series, sine and cosine series

Lecture Video
Sec_14.1-14.3BeforeNotes.pdf
Sec_14.1-14.3AfterNotesCompleted.pdf

Friday 6/12: 15.1-4 Wave Equation

Lecture Video
Sec15.1_15.4BeforeNotes.pdf
sec15.1-15.4AfterNotesComplete.pdf

Monday 6/15: Fourier transforms for solving PDEs

Lecture Video
FourierTransformsBeforeNotes.pdf
Fourier_Transforms_chop_up_of_chap_16)AfterNotesCompleted.pdf

Wednesday 6/17: wave equation solution on the real line

Lecture Video
Wave_Equation_on_the_Real_lineBeforeNotes.pdf
Wave_Equation_on_the_Real_lineAfterNotes.pdf

Friday 6/19: Review for Final Exam

Lecture Video
no notes
no notes

Monday 6/22: Review for Final Exam

Lecture Video
PracticeFinalM3150su15.pdf
PracticeFinalsSolutions.pdf