Schedule (subject to adjustments)
Class Number |
Date |
Topics |
Reading |
HW Assigned |
HW Due |
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1
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9/6
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Introduction,
Strassen's Matrix Multiplication |
Skim
CLRS 1-2, |
HW
1 |
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2
|
9/8 |
Asymptotic
notation |
CLRS
3 |
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3
|
9/13 |
Recurrences
|
CLRS
4 |
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4
|
9/15 |
Heapsort,
Loop invariants |
CLRS
6 |
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9/16
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HW
2 |
HW
1 |
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5
|
9/20 |
Lower
bounds for sorting, Counting Sort, Radix Sort, Deterministic Selection
|
CLRS
8.1-8.3, 9.1, 9.3 |
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6
|
9/22 |
Randomized
Analysis |
CLRS
5 |
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7
|
9/27 |
Indicator
Random Variables |
CLRS
5 |
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9/30
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HW
3 |
HW
2 |
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8
|
10/4 |
Quicksort,
Randomized Selection |
CLRS
7, 9.2 |
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9
|
10/6
|
Dynamic
Programming |
CLRS
15 |
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10
|
10/11 |
Dynamic
Programming |
CLRS
15 |
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11
|
10/13
|
Dynamic
Programming |
CLRS
15 |
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10/14
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HW
4 |
HW
3
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12
|
10/18 |
Greedy
Algorithms |
CLRS
16 |
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13
|
10/20
|
Greedy
Algorithms, Amortized Analysis |
CLRS
16, 17 |
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14
|
10/25 |
Amortized
Analysis |
CLRS
17
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15
|
10/27
|
Graph
Algorithms, BFS, DFS, Topological Sort |
CLRS
22.1-22.4 |
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10/28
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HW
4
| |
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10/31
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Midterm out 9AM
| |
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16
|
11/1 |
Strongly
Connected Components, Minimum Spanning Trees, Disjoint Sets |
CLRS
22.5, 23, 21
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17
|
11/3 |
Single-source
shortest paths, relaxation, Bellman-Ford |
CLRS
24.1, 24.5 |
HW 5
|
Midterm
due 2:30PM |
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18 |
11/10
|
Shortest
paths in dags, Dijkstra's algorithm
|
CLRS
24.2-24.3
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11/11
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HW
6 |
HW
5
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19
|
11/15 |
All
pairs shortest paths |
CLRS
25 |
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20
|
11/17
|
Maximum
Flows |
CLRS
26.1-26.2 |
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21
|
11/22 |
NP-
completeness |
CLRS
34 |
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22
|
11/29 |
NP-completeness
|
CLRS
34 |
HW
7
|
HW
6
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23
|
12/1
|
NP-completeness
|
CLRS
34 |
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11/30
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24
|
12/6
|
Approximation
Algorithms |
CLRS
35 |
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25
|
12/8
|
Approximation
Algorithms |
CLRS
35 |
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12/13
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HW 7 |
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tba |
Final
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CLRS =
Introduction to Algorithms, 3rd edition, by Cormen, Leiserson,
Rivest and Stein