CSCI 243. Discrete Mathematics and Functional Programming


Fall 2021
Thomas VanDrunen



Meeting time: MWF 2:15pm-3:25pm.
Meeting place: Meyer (SCI) 131

Office hours: Drop-in 3:30-4:30 MWF; also schedule through Calendly
Contact: Meyer (SCI) 163 Science; 752-5692; Thomas.VanDrunen@wheaton.edu


Syllabus

ML programming guide

Programming assignment turn-in page.

Frequently asked questions.




Final exam: Thurs, Dec 16, 10:30am-12:30pm


Moon's dayWoden' s dayFrigga's day

Aug 23

NO CLASS

Aug 25

Sets. Sets and elements. 1.(1 & 2)
Slides

Supplemental videos:
Video for course introduction
Video for sections 1.1-3

Aug 27

Set operations; visual verification (3-5)
Slides

Supplemental videos:
Video for section 1.4
Video for section 1.5

Aug 30

Intro to ML; cardinality and Cartesian products. 1.(6-9).
Slides

Supplemental videos:
Video for section 1.6
Video for sections 1.(8 & 9)

Sept 1

Making things in ML. 1.(10-13).
Slides

Supplemental videos:
Video for sections 1.(10 & 11)
Video for sections 1.(12)

Sept 3

More about functions in ML. 1.(11-13); List. Introduction to lists. 2.(1 & 2)
Slides

Supplemental videos:
Video for section 2.1
Video for Section 2.2

Sept 6

NO CLASS

Sept 8

More about lists; powersets. 2.(3 & 4)
Slides

Supplemental videos:
Video for Section 2.4

Sept 10

A language processor. 2.(5 & 6)
Slides

Sept 13

Proposition. Propositional forms; boolean values; logical equivalence. 3.(1-4)
Slides

Sept 15

Conditionals. 3.(5-7)
Slides

Sept 17

Arguments. 3.(8 & 9)
Slides

Sept 20

Predicates; quantification. 3.(10-13)
Slides

Sept 22

Quantification and arguments. 3.14
Slides

Sept 24

Review
Slides

Sept 27

TEST

Sept 29

Proof. Introduction to proofs; subset proofs. 4.(1 & 2)
Slides

Oct 1

Set equality proofs; set emptiness proofs. 4.(3 & 4)
Slides

Oct 4

Conditional proofs. 4.(5-8)
Slides

Oct 6

Powersets. 4.9
Slides

Oct 8

From theorems to algorithms. 4.(10 & 11)
Slides

Oct 11

Relation. Introduction. 5.(1-3)
Slides

Oct 13

Properties of relations, part 1. 5.(4&5)
Slides

Oct 15

Properties of relations, part 2. 5.(4&5)

Oct 18

NO CLASS

Oct 20

NO CLASS

Oct 22

Transitive closure. 5.(6 & 7)
Slides

Oct 25

Partial order relations; topological sort. 5.(8 & 9)
Slides

Oct 27

Review

Oct 29

TEST

Nov 1

Self Reference. Recursive types. 6.(1-3)
Slides

Nov 3

Structural induction. 6.4
Slides

Nov 5

Mathematical induction. 6.(5 & 6)
Slides

Nov 8

Loop invariants, part 1. 6.(9 & 10)
Slides

Nov 10

Loop invariants, part 2. 6.(9 & 10)

Nov 12

Function. Introduction. 7.(1-3)
Slides

Nov 15

Images and inverse images. 7.(4 & 5)
Slides

Nov 17

Map and filter; function properties; inverse functions; composition. 7.(5-8)
Slides

Nov 19

Cardinality. 7.9
Slides

Nov 22

No-credit quiz. Countability. 7.15
Slides

Nov 24

NO CLASS

Nov 26

NO CLASS

Nov 29

Review
Slides

Dec 1

TEST

Dec 3

Map and foldl; modeling functions. 7.(5 & 14)
Slides

Dec 6

Fixed-point iteration. 7.(12 & 13)
Slides

Dec 8

Huffman encoding. 6.12
Slides

Dec 10

Review