Lecture 20 (Oct 28)
Lecture 20 (Oct 27) Green’s functions Zoom link
Partial differential equations (PDEs) play critical roles in wide areas of mathematics, science and engineering. This is an introductory course for PDEs, which is accessible to undergraduate and graduate students in mathematics and other scientific disciplines (for example, engineering, physics, and finance) who have completed the prerequisites. The course covers linear partial differential equations, including Poisson, wave and diffusion problems. The focus will be on learning analytic tools to solve these problems. This course does not cover numerical methods for PDEs.
This course is offered in the fall term, and is cross-listed as Math 126 Topics in Applied Mathematics II.
Lecture 20 (Oct 27) Green’s functions Zoom link
Lecture 19 (Oct 26) Green’s functions Zoom link
Lecture 18 (Oct 23) Weak solutions Zoom link
Lecture 17 (Oct 21) Review for Midterm. Zoom link
Lecture 16 (Oct 19) Sturm-Liuoville problem. Zoom link
Lecture 15 (Oct 16) Eigenvalue problems Zoom link
Lecture 14 (Oct 14) Laplace and Poisson equations Zoom link
Lecture 13 (Oct 12) Fourier series Zoom link
Lecture 12 (Oct 09) Separation of variables Zoom link
Midterm test Oct 22
Lecture 11 (Oct 11) Stability Zoom link
Lecture 10 (Oct 04) Diffusion equations cont’d Zoom link
Lecture 09 (Oct 02) Diffusion equations Zoom link
Lecture 08 (Sep 30) Waves with a source Zoom link
Lecture 07 (Sep 28) Homogeneous wave equations in R Zoom link
Lecture 06 (Sep 25) Well-posed problems Zoom link
Lecture 05 (Sep 23) Initial and boundary conditions, well-posed problems Zoom link
Lecture 04 (Sep 21) First-order equations Zoom link
Lecture 03 (Sep 18) Review of ODEs Zoom link
Lecture 02 (Sep 16) PDE modeling Zoom link
Lecture 01 (Sep 14) “Introduction to PDEs Zoom link
Welcome to Math 53 Partial Differential Equations/Math 126 Topics in Applied Mathematics II