| Paavan Parekh: | Th 2-3 pm, Fr 1-2 pm | pmparekh |
| Vir Pathak: | MoWe 10-11 am | vpathak |
| Ethan Recientes: | Tu 2-3 pm, Th 12:30-1:30 pm | erecientes |
A continuation of CSE 113 covering the mathematical foundations of computer science. Topics include counting techniques, graph theory, and finite automata.
CSE 113
Students will develop proficiency in advanced counting techniques, graph theory algorithms, and formal language theory. They will gain the ability to apply mathematical reasoning to analyze computational problems and understand the theoretical foundations of computer science.
The grading will be based on the following examinations and assignments:
Note the following:
Section numbers come from Discrete Mathematics with Applications by Susanna Epp.
| Week | Date | Topic | Reading (Epp) |
|---|---|---|---|
| 1 | Jan 28 | Introduction to Probability; Possibility Trees and the Multiplication Rule | Secs. 9.1-9.2 |
| 2 | Feb 02, Feb 04 | Counting Elements of Disjoint Sets: The Addition Rule; The Pigeonhole Principle | Secs. 9.3-9.4 |
| 3 | Feb 09, Feb 11 | Counting Subsets of a Set: Combinations; r-Combinations with Repetition Allowed | Secs. 9.5-9.6 |
| 4 | Feb 16, Feb 18 | Pascal’s Formula and the Binomial Theorem | Sec. 9.7 |
| 5 | Feb 23, Feb 25 | Probability Axioms and Expected Value | Sec. 9.8 |
| 6 | Mar 02 | Midterm 1 | - |
| Mar 04 | Conditional Probability, Bayes’ Formula, and Independent Events | Sec. 9.9 | |
| 7 | Mar 09, Mar 11 | Trails, Paths, and Circuits | Sec. 10.1 |
| 8 | Mar 16 - Mar 22 | Spring Recess | - |
| 9 | Mar 23, Mar 25 | Matrix Representations of Graphs | Sec. 10.2 |
| 10 | Mar 30 | Isomorphisms of Graphs | Sec. 10.3 |
| Apr 01 | Midterm 2 | - | |
| 11 | Apr 06, Apr 08 | Trees: Examples and Basic Properties; Rooted Trees | Secs. 10.4-10.5 |
| 12 | Apr 13, Apr 15 | Spanning Trees and a Shortest Path Algorithm | Sec. 10.6 |
| 13 | Apr 20, Apr 22 | Formal Languages and Regular Expressions | Sec. 12.1 |
| 14 | Apr 27, Apr 29 | Finite-State Automata | Sec. 12.2 |
| 15 | May 04, May 06 | Simplifying Automata, Context Free Grammars | §12.3, Ch. 2 (Sip) |
| - | May 15 | Final Exam, 11:15 AM to 1:45 PM, venue TBD | - |
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