With the exception of the first meeting, "lectures" will be pre-recorded and made available before the regular scheduled lecture time. The regular lecture time will be replaced with structured office hours, tentatively:
Before each "lecture", you are expected to do the posted reading assignment in Perusall.
This tentative schedule is subject to change. Any major changes will be announced via Piazza.
If the AL1 lecture links do not work (i.e., the hosting website is down), the backup is here: AL1 MediaSpace channel.
If the BL1 lecture links do not work (i.e., the hosting website is down), the backup is here: BL1 MediaSpace channel.
Date | Lecture or Examlet | Readings Due | AL1 Lectures | BL1 Lectures | Homework Due | |
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June 15 | Week 1 | LIVE: Syllabus/Math Review/Logic | 00: [video] [slides] 01a: [video] [slides (annot.)] 01b: [video] [slides (annot.)] |
00: [video] [scribbles] 01a: [video] [scribbles] 01b: [video] [scribbles] |
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June 16 | Logic/Proofs |
02a: [video]
[slides (annot.)] 02b: [video] [slides (annot.)] |
02a: [video] [scribbles] 02b: [video] [scribbles] 02c: [video] [scribbles] |
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June 17 | Number Theory |
03a: [video] [slides (annot.)] 03b: [video] [slides (annot.)] 03c: [video] [slides (annot.)] |
03a: [video] [scribbles] 03b: [video] [scribbles] 03c: [video] [scribbles] |
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June 18 | Examlet 0: Syllabus/Prereqs | RD 1A, RD 1B; Syllabus | HW 1A | |||
June 22 | Week 2 | Modular Arithmetic | RD 2A | 04: [video] [slides (annot.)] | 04: [video] [scribbles] |
HW 1B |
June 23 | Sets |
05a: [video] [slides (annot.)] 05b: [video] [slides (annot.)] |
05a: [video] [scribbles] 05b: [video] [scribbles |
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June 24 | Relations |
06a: [video] [slides (annot.)] 06b: [video] [slides (annot.)] 06c: [video] [slides (annot.)] |
06a: [video] [scribbles] 06b: [video] [scribbles] |
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June 25 | Examlet 1: Logic/Proofs | RD 2B | HW 2A | |||
Skills list; Study problems: Logic, Proofs | ||||||
June 29 | Week 3 | Functions | RD 3A |
07a: [video] [slides (annot.)] 07b: [video] [slides (annot.)] 07c: [video] [slides (annot.)] |
07a: [video] [scribbles] 07b: [video] [scribbles] 07c: [video] [scribbles] 07d: [video] [scribbles] |
HW 2B |
June 30 | Graphs |
08a: [video] [slides (annot.)] 08b: [video] [slides (annot.)] 08c: [video] [slides (annot.)] |
08a: [video] [scribbles] 08b: [video] [scribbles] 08c: [video] [scribbles] |
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July 1 | Two-way bounding and proofs |
09a: [video] [slides (annot.)] 09b: [video] [slides (annot.)] 09c: [video] [slides (annot.)] |
09a: [video] [scribbles] 09b: [video] [scribbles] |
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July 2 | Examlet 2: Number Theory, Modular Arithmetic, & Sets |
RD 3B | HW 3A | |||
Skills list;
Study problems:
Number Theory, Modular Arithmetic, Sets |
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July 6 | Week 4 | Induction, Episode IV: A New Proof Technique |
RD 4A; Review 1.5 |
10a: [video] [slides (annot.)] 10b: [video] [slides (annot.)] |
10a: [video] [scribbles] 10b: [video] [scribbles] 10c: [video] [scribbles] |
HW 3B |
July 7 | Induction, Episode V: The Recursion Fairy Strikes Back |
11a: [video] [slides (annot.)] 11b: [video] [slides (annot.)] 11c: [video] [slides (annot.)] |
11a: [video] [scribbles] 11b: [video] [scribbles] |
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July 8 | Induction, Episode VI: Return of the I.H. |
12a: [video] [slides (annot.)] 12b: [video] [slides (annot. FIXED)] 12c: [video] [slides (annot.)] |
12a: [video] [scribbles] 12b: [video] [scribbles] 12c: [video] [scribbles] |
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July 9 | Examlet 3: Relations and Functions | RD 4B | HW 4A | |||
Skills list;
Study problems:
Relations, Functions |
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July 13 | Week 5 | Trees | RD 5A |
13a: [video] [slides (annot.)] 13b: [video] [slides (annot.)] |
13a: [video] [scribbles] 13b: [video] [scribbles] |
HW 4B |
July 14 | Recursion Trees |
14a: [video] [slides (annot.)] 14b: [video] [slides (annot.)] |
14a: [video] [scribbles] 14b: [video] [scribbles] |
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July 15 | Grammar Trees |
15a: [video] [slides (annot.)] 15b: [video] [slides (annot.)] 15c: [video] [slides (annot.)] |
15a: [video] [scribbles] 15b: [video] [scribbles] 15c: [video] [scribbles] |
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July 16 | Examlet 4: Graphs, Induction, Two-way bounding |
RD 5B | HW 5A | |||
Skills list;
Study problems:
Graphs, Two-way bounding, Easy Induction |
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July 20 | Week 6 | Big-O | RD 6A |
16a: [video] [slides (annot.)] 16b: [video] [slides (annot.)] 16c: [video] [slides (annot.)] |
16a: [video] [scribbles] 16b: [video] [scribbles] |
HW 5B |
July 21 | Algorithms |
17a: [video] [slides (annot.)] 17b: [video] [slides (annot.)] 17c: [video] [slides (annot.)] |
17a: [video] [scribbles] 17b: [video] [scribbles] 17c: [video] [scribbles] |
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July 22 | NP |
18a: [video] [slides (annot.)] 18b: [video] [slides (annot.)] |
18a: [video] [scribbles] 18b: [video] [scribbles] |
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July 23 | Examlet 5: Recursive Definition and Trees |
RD 6B | HW 6A | |||
Skills list;
Study problems:
Unrolling, Induction, Trees |
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July 27 | Week 7 | Collections of Sets | RD 7A |
19a: [video] [slides (annot.)] 19b: [video] [slides (annot.)] 19c: [video] [slides (annot.)] |
19a: [video] [scribbles] 19b: [video] [scribbles] 19c: [video] [scribbles] |
HW 6B |
July 28 | Contradiction |
20a: [video] [slides (annot.)] 20b: [video] [slides (annot.)] |
20a: [video] [scribbles] 20b: [video] [scribbles] |
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July 29 | State Diagrams |
21a: [video] [slides (annot.)] 21b: [video] [slides (annot.)] 21c: [video] [slides (annot.)] |
21a: [video] [scribbles] 21b: [video] [scribbles] 21c: [video] [scribbles] |
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July 30 | Examlet 6: Algorithms, NP, and Big-O |
RD 7B | HW 7A | |||
Skills list;
Study problems:
Recursion trees, Ineq. induction, Algorithms |
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Aug 3 | Week 8 | Countability | RD 8 |
22a: [video] [slides (annot.)] 22b: [video] [slides (annot.)] |
22a: [video] [scribbles] 22b: [video] [scribbles] |
HW 7B |
Aug 4 | Special Topics |
23: [video] [slides (annot.)] |
23a: [video] [scribbles] 23b: [video] [scribbles] |
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Aug 5 | LIVE: Review Session |
24: [Zoom recording] [slides (annot.)] |
24: [Zoom recording] [scribbles] | |||
Aug 6 | ||||||
Aug 7/8 | the Monstrous Moodle Meltdown of August 5-6, 2020. See Piazza. |
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Skills list; Study problems: Contradiction, Collections of Sets, State Diagrams, Countability |
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Aug 6/7/8 | Oral Review Examlet | |||||
Skills list |