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แบบฝึกหัด/การบ้าน
เนื้อหา
| Week | Topics | Handouts | Activities | Links |
|---|---|---|---|---|
| 1 | Introduction, Propositions, Quantifiers | handout1 handout2 |
ex-1-1, ex-1-2 | |
| 2 | Inference rules, Proof techniques 1 | handout3 handout4 |
ex-2-1, ex-2-2 | |
| 3 | Proof techniques 2, Induction 1 | handout1 handout2 |
ex-3-1, ex-3-2 | |
| 4 | Induction 2, Counting 1 | handout1 handout2 handout3 |
ex-4-1, ex-4-2 | |
| 5 | Counting 2, Counting 3 | handout1 handout2 |
ex-5-1, ex-5-2 | |
| 6 | Counting 4, The pigeonhole principle and the birthday problem, Binomial Coefficients 1 | handout1 handout2 handout3 handout4 |
ex-6-1 | |
| 7 | Binomial Coefficients 2, Fibonacci sequence | handout1 handout2 extra handout (not cover in class) |
ex-7-1, ex-7-2 | |
| 8 | Linear algebra 1: introduction | notebooks | ||
| 9 | Linear algebra 2: vector spaces | notebooks | ||
| 10 | Linear algebra 3: bases | ex-8-1,ex-8-2 | ||
| 11 | Linear algebra 4: matrices and linear transformation | ex-9-1 | ||
| 12 | Linear algebra 5: eigensystems | notebooks | ||
| 13 | Primality testing, Modular arithmetic | ex-10-1, notebook1 | ||
| 14 | Polynomials | (no class/midterm2) | ||
| 15 | Modular multiplicative inverses, RSA | notebook2, notebook3 |
ลิงก์เพิ่มเติม
- รายวิชานี้เมื่อปีการศึกษา 2558
- CS70: Discrete mathematics and probability theoryat Berkeley
- Mathematics for Computer Science at MIT OCW.
- Lovasz, Pelikan, Vesztergombi. Discrete Mathematics: Elementary and Beyond. Springer, 2003. See Lovasz and Vesztergombi's lecture notes (dmbook.ps)
- Matousek and Nestril. Invitation to Discrete Mathematics. 2nd Edition. Oxford Press, 2008.
- Rosen. Discrete Mathematics and Its Applications. Mcgraw-Hill.
