PILOT Learning for Differential Equations     Home | Problem Sets | Resources | Contacts



Problem Sets

The weekly problem sets will be updated here.


⚠️ Important!
The problem sets and solutions might contain error(s): We are trying our best to fix any as we catch them.
Please always refresh for the newest version. If you still notice any, please contact us.

📅 Weekly Problem Sets

Here are the problem sets for each week of PILOT learning.

Week Number Dates Problem Set Additional Resources
1 January 20th - January 23rd PSet 1 (Solutions) Brief Review on Series
2 January 27th - January 30th PSet 2 (Solutions) Differential Forms
3 February 3rd - February 6th PSet 3 (Solutions) A Small “Dilemma”
4 February 10th - February 13th PSet 4 (Solutions) Lipchitz Continuity
5 February 17th - February 20th PSet 5 (Solutions) Canonical Decomposition
6 February 24th - February 27th PSet 6 (Solutions) Introduction to \(L^2([0,2\pi])\) Space
Midterm 1 Resources
7 March 3rd - March 6th PSet 7 (Solutions) Deeper Topics in \(L^2([0,2\pi])\) Space
8 March 10th - March 13th PSet 8 (Solutions) Quotient Space
🌸 March 17th - March 20th No Sessions this week.
Have a nice spring break!
Preview on Linear Algebra
Matrix Exponential
9 March 24th - March 27th PSet 9 (Solutions) Polynomial Basis
10 March 31st - April 3rd PSet 10 (Solutions) Conceptual Eigenspace
11 April 7th - April 10th PSet 11 (Solutions) A Putnam Problem
Midterm 2 Resources
12 April 14th - April 17th PSet 12 (Solutions) Algebraic and Geometric Multiplicity
13 April 21st - April 24th PSet 13 (Solutions) Nonlinear Systems

📑 Review Information

For the in-class assessments, we will prepare corresponding review resources.

Assessment Number Assessment Date Practices Review Session
Midterm 1 March 4 Review Set 1 (Solution)
Review Slides
March 1 @ 12pm
Latrobe 120
Midterm 2 April 15 Review Set 2 (Solution)
Review Slides
April 12 @ 12pm
Hodson 301
Final Exam May 8 Review Set 3 (Solution)
Review Slides
May 5 @ 6pm
Ames 234



🌞
✍️