Weekly examlets will be given in class on Thursdays, starting in the third week of classes.
Before the first examlet, you must read the exam instructions and the exam logistics information. These instructions will NOT be reprinted with each examlet.
The listed chapters and skills are the new skills for each examlet. The examlet will focus on these new skills. However, be aware that you're still expected to remember concepts from earlier in the term.
Study problems should be done before the corresponding examlet. You do not need to turn in your solutions. Write up your answers, as if you planned to turn them in. Then check your work against the annotated solutions. Actually writing up the answers is important, since it forces you to work through the details and practice composing a polished proof.
You are encouraged to compare study problem solutions with your classmates, bring them into office hours to consult with course staff, etc. High-level discussion on Piazza is ok, as is discussion of very specific issues and possible bugs. However, significant pieces of solutions should be posted only privately to the course staff.
The information (e.g. skills list, study problem) for each examlet should be viewed as tentative until a week before the examlet date. We don't expect large changes but there might be small ones.
Examlet | Date | Textbook sections | Skills list | Study Problems | 9:30 sitting | Examlet | Solutions |
---|---|---|---|---|---|---|---|
#1: Prerequisites and Logic | 13 Sept | Chapters 1 and 2 excluding 1.5-1.6 |
Examlet 1 |
math prerequisites logic |
Group 1 | A sheet
B sheet |
A sheet
B sheet |
#2: Number theory | 20 Sept | Chapters 3 and 4 excluding 4.12-4.14 |
Examlet 2 |
proofs
number theory |
Group 1 | A sheet
B sheet |
A sheet
B sheet |
#3: Modular arithmetic Set theory |
27 Sept | 4.12-4.14, Chapter 5 | Examlet 3 |
modular arithmetic set theory |
Group 1 | A sheet
B sheet |
A sheet
B sheet |
#4: Relations | 4 Oct | Chapter 6 | Examlet 4 | relations | Group 1 | A sheet
B sheet |
A sheet
B sheet |
#5: Functions | 11 Oct | Chapters 7 and 8 | Examlet 5 | functions | Group 1 | A sheet
B sheet |
A sheet
B sheet |
#6: Graphs | 18 Oct | Chapter 9 | Examlet 6 | graphs | Group 1 | A sheet
B sheet |
A sheet
B sheet |
#7: Two-way bounding Easy Induction |
25 Oct | 1.5, Chapter 10, 11.1-11.7 | Examlet 7 |
two-way bounding
easy induction |
Group 2 | A sheet
B sheet |
A sheet
B sheet |
#8: Induction Recursive Definition |
1 Nov | Chapters 11 and 12 | Examlet 8 |
unrolling induction |
Group 2 | A sheet
B sheet |
A sheet
B sheet |
#9: Trees, Grammars | 8 Nov | 1.6, Chapter 13 excluding 13.6, 13.7 |
Examlet 9 | tree induction | Group 2 | A sheet
B sheet |
A sheet
B sheet |
#10: Big-O Recursion Trees |
15 Nov | 13.6, 13.7, Chapter 14 | Examlet 10 |
recursion trees inequality induction |
Group 2 | A sheet
B sheet |
A sheet
B sheet |
#11: Algorithms, NP | 29 Nov | Chapters 15, 16 | Examlet 11 | algorithms | Group 2 | A sheet
B sheet |
A sheet
B sheet |
#12: Contradiction Collections of Sets |
6 Dec | Chapters 17, 18 | Examlet 12 |
contradiction
collections of sets |
Group 1 | A sheet
B sheet |
A sheet
B sheet |
Final: State Diagrams Countability |
Wednesday 19 Dec 8:00-11:00am |
Chapters 19, 20 | Final examlet |
state diagrams countability |
N/A | version 1 | version 1 |