Archived Page: This semester has ended, for the most recent ones, please check on all semesters.

⚠️ 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.

• The problem sets will be updated before Monday each week, it is consisted of a problem set combined with (sometimes) additional materials, accompanied by a passcode protected solution manual.
  • We might update problem sets and solution manuals due to minor typos, so please always refresh for the latest version.
  • The solution is passcode protected to encourage attendance to PILOT sessions, ask your PILOT leader while you are attending the session for more information.
  • During the weeks when a quiz is given, the solution manual will not have a passcode for equality among all PILOT sessions that week.

⤴️ Attention on Different Contents
For this semesters, since different sections are covering different materials, there will be problems designed specifically for one section but not the other. In general, the questions labeled with S are the questions designated for Series Solutions for Second Order ODEs (Section 01-03) and the questions labeled with L are the questions designated for Laplace Transformation (Section 04-06).

• Additional resources would be tagged or linked in the resources’ column.
  • Also check out the Resources for additional notes and practices.

Week Number	Dates	Problem Set	Additional Resources
1	September 1st - September 5th	PSet 1 (Solutions)
2	September 8th - September 12th	PSet 2 (Solutions)	Differential Forms Quiz 1 Resources
3	September 15th - September 19th	PSet 3 (Solutions)	A Small “Dilemma”
4	September 22nd - September 26th	PSet 4 (Solutions)	Lipchitz Continuity
5	September 29th - October 3rd	PSet 5 (Solutions)	Canonical Decomposition Quiz 2 Resources
6	October 6th - October 10th	PSet 6 (Solutions)	Introduction to \(L^2([0,2\pi])\) Space
7	October 13th - October 15th	PSet 7 (Solutions)	Deeper Topics into \(L^2([0,2\pi])\) Space
8	October 20th - October 25th	PSet 8 (Solutions)	Review on Linear Algebra Quiz 3 Resources
9	October 27th - October 31st	PSet 9 (Solutions)	Conceptual Eigenspace
10	November 3rd - November 7th	PSet 10 (Solutions)	Algebraic and Geometric Multiplicity
11	November 10th - November 14th	PSet 11 (Solutions)	Nonlinear Systems Quiz 4 Resources
12	November 17th - November 21st	PSet 12 (Solutions)	A Case Study on Tariffs
☕️	November 24th - November 28th	Have a nice break!	A Putnam Problem Matrix Exponential
13	December 1st - December 5th	PSet 13 (Solutions)	(S) Holomorphic Functions (L) Approximation to Identity Final Exam Resources

• Unlock all solutions: Use this link to enter a specific password in order to unlock all problem set solutions.

📑 Review Information

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

• We will provide a practice set, its solutions, and a slide deck of related materials.
  • If you wish to time the practice sets, each problem shall take approximately 12.5 to 15 minutes.
• The review session information will be updated approximately a week before the assessment. As of right now, we are sure to give review sessions before the final exam, but we have not decided if we shall plan quiz reviews.

Assessment Number	Assessment Date	Practices	Review Session
Quiz 1	September 16th	Review Set 1 (Solutions) Review Slides	September 14th @ 6pm Krieger 180
Quiz 2	October 7th	Review Set 2 (Solutions) Review Slides	October 5th @ 1:30pm Hodson 311
Quiz 3	October 28th	Review Set 3 (Solutions) Review Slides	There is no Review session.
Quiz 4	November 18th	Review Set 4 (Solutions) Review Slides	There is no Review session.
Final Exam	December 15th	Final Review Set (Solutions) Review Slides	December 14th @ 6:00pm Ames 234

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