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计科数学上
2023-12-04 21:57课程 人已围观
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