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课程介绍
课程目录
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  • 学会某些技巧(或思路)

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  • 课程详情

               The course offers an introduction to discrete mathematics oriented toward computer science and engineering. Its coverage divides roughly into thirds: fundamental concepts of mathematics,discrete structures, and discrete probability theory. Focus on educating students to explain and apply the basic methods of discrete (noncontinuous) mathematics in computer science. The students will be able to use these methods in subsequent courses in the design and analysis of algorithms, computability theory, software engineering, and computer systems. 
     
    LEC # TOPICS
    1 Introduction and proofs
    2 Induction
    3 Strong induction
    4 Number theory I
    5 Number theory II
    6 Graph theory and coloring
    7 Matching problems
    8 Graph theory II: minimum spanning trees
    9 Communication networks
    10 Graph theory III
    11 Relations, partial orders, and scheduling
    12 Sums
    13 Sums and asymptotics
    14 Divide and conquer recurrences
      Midterm
    15 Linear recurrences
    16 Counting rules I
    17 Counting rules II
    18 Probability introduction
    19 Conditional probability
    20 Independence
    21 Random variables
    22 Expectation I
    23 Expectation II
    24 Large deviations
    25 Random walks
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