Math 272 Spring 2021

Vector fields, partial differentiation, cylindrical and spherical coordinates, multiple integrals, line integrals, the Wave and the Schrödinger equations, separation of variables method. Inner Product Spaces. Fourier Series.

I am currently teaching the Math 271/272 sequence at Colorado State University. This semester was taught completely online just like the fall 2020 semester for 271. The class had oral exams done virtually and I met with each student one-on-one.


The project for this class was to find analytical solutions to the Schrödinger equation for a central Coloumb potential. In other words, we found explicit states for electrons in a hydrogen atom.


Homework Assignments

Homework assignments were due roughly every week.

Homework 0

Homework 1

Homework 2

Homework 3

Homework 4

Homework 5

Homework 6

Homework 7

Homework 8

Homework 9

Homework 10


Here are the solutions for the above homework assignments. Please let me know if you find any errors!

Homework 0 Solutions

Homework 1 Solutions

Homework 2 Solutions

Homework 3 Solutions

Homework 4 Solutions

Homework 5 Solutions

Homework 6 Solutions

Homework 7 Solutions

Homework 8 Solutions

Homework 9 Solutions


Exams were done as take home exams with an oral component. I met with each student individually to ask for clarification on their solutions. I also asked questions about the content that they did not know before hand.

Exam 1

Exam 2

Exam 3


Quizzes were administered in class and students were given 50 minutes to complete each quiz.

Quiz 1

Quiz 2

Quiz 3

Quiz 4

Quiz 5