ผลต่างระหว่างรุ่นของ "01204211-61"
ไปยังการนำทาง
ไปยังการค้นหา
Jittat (คุย | มีส่วนร่วม) |
Jittat (คุย | มีส่วนร่วม) |
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| แถว 21: | แถว 21: | ||
| 6 || Counting 4, The pigeonhole principle and the birthday problem, Binomial Coefficients 1 || [https://github.com/jittat/01204211-discrete-math-slides/raw/master/12-counting4.handout.pdf handout1]<br>[https://github.com/jittat/01204211-discrete-math-slides/raw/master/13-pigeonholes.handout.pdf handout2]<br>[https://github.com/jittat/01204211-discrete-math-slides/raw/master/14-binomialcoeff1.handout.pdf handout3]<br>[https://github.com/jittat/01204211-discrete-math-slides/raw/master/15-binomialcoeff2.handout.pdf handout4] || [https://theory.cpe.ku.ac.th/wiki/images/01204211-exercises-6-1.pdf ex-6-1] || | | 6 || Counting 4, The pigeonhole principle and the birthday problem, Binomial Coefficients 1 || [https://github.com/jittat/01204211-discrete-math-slides/raw/master/12-counting4.handout.pdf handout1]<br>[https://github.com/jittat/01204211-discrete-math-slides/raw/master/13-pigeonholes.handout.pdf handout2]<br>[https://github.com/jittat/01204211-discrete-math-slides/raw/master/14-binomialcoeff1.handout.pdf handout3]<br>[https://github.com/jittat/01204211-discrete-math-slides/raw/master/15-binomialcoeff2.handout.pdf handout4] || [https://theory.cpe.ku.ac.th/wiki/images/01204211-exercises-6-1.pdf ex-6-1] || | ||
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| − | | 7 || Binomial Coefficients 2, Fibonacci sequence | + | | 7 || Binomial Coefficients 2, Fibonacci sequence || [https://github.com/jittat/01204211-discrete-math-slides/raw/master/16-binomialcoeff3.handout.pdf handout1],[https://github.com/jittat/01204211-discrete-math-slides/raw/master/18-fibonacci.pdf handout2] || [https://theory.cpe.ku.ac.th/wiki/images/01204211-exercises-7-1.pdf ex-7-1], [https://theory.cpe.ku.ac.th/wiki/images/01204211-exercises-7-2.pdf ex-7-2] || |
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| − | | 8 || | + | | 8 || Linear algebra 1: vector spaces || || || |
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| − | | | + | | 9 || Linear algebra 2: matrices and linear systems, linear transformations || || || |
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| − | | | + | | 10 || Linear algebra 4: solutions of linear transformations || || || |
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| − | | | + | | 11 || Linear algebra 5: eigensystems || || || |
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| − | | 13 || | + | | 12 || Primality testing, Modular arithmetic || || || |
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| + | | 13 || Polynomials || || || | ||
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| − | | 14 || | + | | 14 || Graphs 1 || || || |
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| − | | 15 || | + | | 15 || Graphs 2 || || || |
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รุ่นแก้ไขเมื่อ 09:41, 25 กันยายน 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 | ex-7-1, ex-7-2 | |
| 8 | Linear algebra 1: vector spaces | |||
| 9 | Linear algebra 2: matrices and linear systems, linear transformations | |||
| 10 | Linear algebra 4: solutions of linear transformations | |||
| 11 | Linear algebra 5: eigensystems | |||
| 12 | Primality testing, Modular arithmetic | |||
| 13 | Polynomials | |||
| 14 | Graphs 1 | |||
| 15 | Graphs 2 |
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.