ผลต่างระหว่างรุ่นของ "01204211-61"
ไปยังการนำทาง
ไปยังการค้นหา
Jittat (คุย | มีส่วนร่วม) |
Jittat (คุย | มีส่วนร่วม) |
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| แถว 33: | แถว 33: | ||
| 12 || Linear algebra 5: eigensystems || || [https://theory.cpe.ku.ac.th/~jittat/courses/211/lin1/ notebooks] || | | 12 || Linear algebra 5: eigensystems || || [https://theory.cpe.ku.ac.th/~jittat/courses/211/lin1/ notebooks] || | ||
|- | |- | ||
| − | | 13 || Primality testing, Modular arithmetic || || || | + | | 13 || Primality testing, Modular arithmetic || || [notebook1 https://colab.research.google.com/drive/1gSs8g2YLACJ5qXiWCvbnYbihXC-sQWqa] || |
|- | |- | ||
| 14 || Polynomials || || || | | 14 || Polynomials || || || | ||
|- | |- | ||
| − | | 15 || Modular multiplicative inverses, RSA || || | + | | 15 || Modular multiplicative inverses, RSA || || [notebook2 https://colab.research.google.com/drive/1OCN8kBUCOxtXGfRIBIbVz4wg6ysd2vaN], [notebook3 https://colab.research.google.com/drive/1xERtIPpPH4VfKK65AjomuxQoXm2nREpq] || |
|} | |} | ||
รุ่นแก้ไขเมื่อ 03:43, 17 ธันวาคม 2561
ประกาศ
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 | [notebook1 https://colab.research.google.com/drive/1gSs8g2YLACJ5qXiWCvbnYbihXC-sQWqa] | ||
| 14 | Polynomials | |||
| 15 | Modular multiplicative inverses, RSA | [notebook2 https://colab.research.google.com/drive/1OCN8kBUCOxtXGfRIBIbVz4wg6ysd2vaN], [notebook3 https://colab.research.google.com/drive/1xERtIPpPH4VfKK65AjomuxQoXm2nREpq] |
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.
