- Lecture 1 – Review of prerequisite concepts
- Lecture 2 – Derivation of the heat equation
- Lecture 3 – Boundary conditions and equilibrium solutions
- Lecture 4 – Method of Separation of Variables I
- Lecture 5 – Method of Separation of Variables II
- Lecture 6 – Method of Separation of Variables III
- Lecture 7 – Fourier Series I
- Lecture 8 – Fourier Series II
- Lecture 9 – Additional Problems
- Lecture 10 – The Wave Equation
- Lecture 11 – Sturm-Liouville Theory I
- Lecture 12 – Sturm-Liouville Theory II
- Lecture 12 – Sturm-Liouville Theory II – Additional exercise
- Lecture 13 – Higher Dimensional PDEs I (Introduction)
- Lecture 14 – Higher Dimensional PDEs II (Helmholtz Equation and Generalities)
- Lecture 14 – Higher Dimensional PDEs II (Typed)
- Lecture 15 – Higher Dimensional PDEs III (Bessel Functions)
- Lecture 16 – Higher Dimensional PDEs IV (Modified Bessel Functions)
- Lecture 17 – Higher Dimensional PDEs V (Spherical Harmonics)
- Lecture 18 – Nonhomogeneous Problems I
- Lecture 19 – Nonhomogeneous Problems II
- Lecture 20 – Nonhomogeneous Problems III (Poisson Equation)
- Lecture 21 – Fourier transform and linear PDEs
- Previous exams problems corresponding to Midterm 1
- solutions to additional problems 1,3,4,5,9,10, Solution problem 16
- Math 241 – Section 002 – Midterm 1 – Practice exam – Spring 2020
- Math 241 – Section 002 – Midterm 1 – Practice exam – Solutions – Spring 2020
- Math 241 – Section 002 – Midterm 1 – Spring 2020
- Math 241 – Section 002 – Midterm 1 – Spring 2020 – Solutions
- Math 241 – Section 002 – Midterm 2 – Practice exam – Spring 2020
- Math 241 – Section 002 – Midterm 2 – Practice exam – Spring 2020 – Solutions
- Math 241 – Section 002 – Midterm 2 – Spring 2020
- Math 241 – Section 002 – Midterm 2 – Spring 2020 – Solutions and Rubric
- Homework1
- Homework1 – Solutions
- Homework2
- Homework2 – Solutions
- Homework3
- Homework3 – Solutions
- Homework4
- Homework5
- Homework6
- Homework7
- Homework8
Eduardo García-Juárez 