CS 220:   Applied Discrete Mathematics (Spring 2025)
Schedule
Office Hours
Resources
Writing Math
Syllabus

CS 220: Applied Discrete Mathematics (Spring 2025)🔗

Ryan Culpepper <Ryan.Culpepper@umb.edu>

Section

  

Days

  

Time

  

Room

02

  

Monday and Wednesday

  

4:00pm to 5:15pm

  

Wheatley W01-0004

Schedule🔗

Lec#

  

Date

  

Topic

  

Notes

1

  

Mon 1/27

  

Intro, Sets

  

ADM 3; BOP 1.1–1.8

2

  

Wed 1/29

  

Sets

  

3

  

Mon 2/3

  

Propositional Logic

  

ADM 1.1–1.5, 5.1–5.6; BOP 2.1–2.6

4

  

Wed 2/5

  

Predicate Logic

  

ADM 1.6–1.10; BOP 2.7–2.12

5

  

Mon 2/10

  

Predicate Logic

  

6

  

Wed 2/12

  

Relations

  

ADM 6; BOP 11

  

Mon 2/17

  

President’s Day — No class

  

7

  

Wed 2/19

  

Relations

  

8

  

Mon 2/24

  

Relations

  

9

  

Wed 2/26

  

Functions

  

ADM 4; BOP 12

10

  

Mon 3/3

  

Functions

  

11

  

Wed 3/5

  

Review

  

12

  

Mon 3/10

  

Review

  

13

  

Wed 3/12

  

Midterm Exam

  

  

Mon 3/17

  

Spring Break – No class

  

  

Wed 3/19

  

Spring Break – No class

  

14

  

Mon 3/24

  

Integers

  

ADM 9

15

  

Wed 3/26

  

Integers, Reals

  

16

  

Mon 3/31

  

Proofs

  

ADM 2; BOP 4–7

17

  

Wed 4/2

  

Proofs

  

18

  

Mon 4/7

  

Proofs

  

19

  

Wed 4/9

  

Recursion and Induction

  

ADM 8, BOP 10

20

  

Mon 4/14

  

Recursion and Induction

  

21

  

Wed 4/16

  

Computation

  

ADM 7

  

Mon 4/21

  

Patriots Day — No class

  

22

  

Wed 4/23

  

Counting

  

ADM 10, BOP 3.1–3.8, 3.9

23

  

Mon 4/28

  

Counting

  

ADM 11.1–3, BOP 3.1–3.8, 3.9

24

  

Wed 4/30

  

Probability

  

ADM 12

25

  

Mon 5/5

  

Probability

  

26

  

Wed 5/7

  

Graphs

  

ADM 13

27

  

Mon 5/12

  

Graphs

  

28

  

Wed 5/14

  

Review, Course Eval

  

  

Wed 5/21

  

Final Exam

  

Office Hours🔗

Ryan Culpepper

  

Tuesday 3:00–4:30pm in M-3-138
Wednesday 2:00–3:30pm in M-3-138

Lucas Caudill

  

Thursday 3:00-4:30pm in M-3-721 (Unix lab)

Additional times are available by appointment.

Resources🔗

Writing Math🔗

See Typesetting Math.

For formal proofs:

For informal proofs: Informal Proofs: Guidelines and Examples contains the guidelines and examples from the slides, without the constraints of slide formatting. Some examples have additional commentary.

Mathematical symbols for copy-and-paste:

Sets: ∈ ∉ ⊆ ⊂ ⊈ ⊄ 𝒫 × ∪ ∩ ∅ ℕ ℚ ℝ ℤ

Logic: ∧ ∨ ¬ ⇒ ⇔ ⊕ · ∀ ∃

Integers: ⊞ ⊟ ⊠ ≡ ⌊ ⌋ ⌈ ⌉

Misc: π Σ ≠ ≤ ≥ ↦

Syllabus🔗

See the syllabus.