ผลต่างระหว่างรุ่นของ "01204211-61"

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แถว 13: แถว 13:
 
| 2 || Inference rules, Proof techniques 1 || [https://github.com/jittat/01204211-discrete-math-slides/raw/master/03-proofs-inference.handout.pdf handout3]<br>[https://github.com/jittat/01204211-discrete-math-slides/raw/master/04-proof-techniques1.handout.pdf handout4] || [https://theory.cpe.ku.ac.th/wiki/images/01204211-exercises-2-1.pdf ex-2-1], [https://theory.cpe.ku.ac.th/wiki/images/01204211-exercises-2-2.pdf ex-2-2]  ||
 
| 2 || Inference rules, Proof techniques 1 || [https://github.com/jittat/01204211-discrete-math-slides/raw/master/03-proofs-inference.handout.pdf handout3]<br>[https://github.com/jittat/01204211-discrete-math-slides/raw/master/04-proof-techniques1.handout.pdf handout4] || [https://theory.cpe.ku.ac.th/wiki/images/01204211-exercises-2-1.pdf ex-2-1], [https://theory.cpe.ku.ac.th/wiki/images/01204211-exercises-2-2.pdf ex-2-2]  ||
 
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| 3 || Proof techniques 2, Induction 1 || [https://github.com/jittat/01204211-discrete-math-slides/raw/master/04-proof-techniques2.handout.pdf handout1]<br>[https://github.com/jittat/01204211-discrete-math-slides/raw/master/06-induction1.handout.pdf handout2] ||  ||
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| 3 || Proof techniques 2, Induction 1 || [https://github.com/jittat/01204211-discrete-math-slides/raw/master/05-proof-techniques2.handout.pdf handout1]<br>[https://github.com/jittat/01204211-discrete-math-slides/raw/master/06-induction1.handout.pdf handout2] ||  ||
 
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| 4 || Induction 2, Counting 1  || [https://github.com/jittat/01204211-discrete-math-slides/raw/master/07-induction2.handout.pdf handout1]<br>[https://github.com/jittat/01204211-discrete-math-slides/raw/master/08-induction3.handout.pdf handout2]<br>[https://github.com/jittat/01204211-discrete-math-slides/raw/master/09-counting1.handout.pdf handout3] ||  ||
 
| 4 || Induction 2, Counting 1  || [https://github.com/jittat/01204211-discrete-math-slides/raw/master/07-induction2.handout.pdf handout1]<br>[https://github.com/jittat/01204211-discrete-math-slides/raw/master/08-induction3.handout.pdf handout2]<br>[https://github.com/jittat/01204211-discrete-math-slides/raw/master/09-counting1.handout.pdf handout3] ||  ||

รุ่นแก้ไขเมื่อ 23:07, 27 สิงหาคม 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
4 Induction 2, Counting 1 handout1
handout2
handout3
5 Counting 2
6 The pigeonhole principle and the birthday problem, Binomial Coefficients, Fibonacci sequence
7 Primality testing
8 Modular arithmetic
9 Polynomials
10 Graphs 1
11 Graphs 2
12 Linear algebra 1: vector spaces
13 Linear algebra 2: matrices and linear systems, linear transformations
14 Linear algebra 4: solutions of linear transformations
15 Linear algebra 5: eigensystems

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.