CPSC 311, Section 502 Comprehensive Review, Chapter Order

See the chapters in test order.

Mathematical Foundations
Section Pages Points on TestsContent
Test 1 - Chapter 1 Introduction
  xiii-xvii (5)   
1.1 1-5 (5) 3(2)Insertion-Sort
1.2 6-10 (5)  Insertion-Sort with timing review
1.3 11-15 (5) 6Merge-Sort Divide-and-conquer algorithms.
1.4 16 (1) (21)   
Test 1 - Chapter 2 Growth of Functions
2.1 21-31 (11) 40Definitions of Theta, O, Omega, o, and little omega; comparison of functions; evaluation of algorithms
2.2 32-37 (6) (17) 14Monotonicity, polynomially bounded, exponentials, logarithms, factorials, iterated logarithm, Fibonacci numbers
Test 1 - Chapter 4 Recurrences
4.1 53-57 (5) 5substitution method
4.2 58-60 (3) 10iteration method - recursion trees
4.3 61-64 (4) (12)5master method
Sorting and Order Statistics
Test 2 - Chapter 7 Heapsort
7.1 140-142 (3) 10(1)Parent, Left, Right
7.2 143-144 (2) 10(1)Heapify
7.3 145-146 (2) 3Build-Heap
7.4 147-148 (2)  Heapsort
7.5 149-150 (2) (11)  Insert, Maximum, Extract-Max, Minimum, Extract-Min, Heap-Extract-Max, Heap-Insert
Test 2 - Chapter 8 Quicksort
8.1 153-155 (3) 18Quicksort, Partition, not stable
8.2 156-160 (5)  Boundary conditions
8.3 161-162 (2) 5Random, Randomized-Partition, Randomized-Quicksort
8.4 163-167 (5) (15)   
Test 2 - Chapter 9 Sorting in Linear Time
9.1 172-174 (3) 28decision tree
9.2 175-177 (3) 5Counting-Sort
9.3 178-179 (2) (8) 13Radix-Sort, review 9.3-4
Test 4 - Chapter 10 Medians and Order Statistics
10.1 185-186 (2)  Minimum
10.2 187-189 (3) 10Randomized-Select
10.3 190-191 (2) (7) 5Select
Data Structures
Test 4 - Chapter 12 Hash Tables
12.1 219-220 (2)  Direct-Address-Search, Direct-Address-Insert, Direct-Address-Delete
12.2 221-225 (5) 15Chained-Hash-Insert, Chained-Hash-Search, Chained-Hash-Delete, plausibility?
12.3 226-231 (6)   
12.4 232-239 (8) (21)  Hash-Insert, Hash-Search
Advanced Design and Analysis Techniques
Test 2 - Chapter 16 Dynamic Programming
16.1 301-308 (8) 25Matrix-Multiply, Matrix-Chain-Order, Matrix-Chain-Multiply, optimal parenthesization
16.2 309-314 (6) (14)5Recursive-Matrix-Chain, Memoized-Matrix-Chain, Lookup-Chain, optimal substructure and overlapping subproblems
Review for Test 3 - Chapter 18 Amortized Analysis
18 356-378 (23)   Amortized Analysis
Aggregate Method
  • n ops take time T(n)
  • avg cost of an op is T(n)/n
Accounting Method
Potential Method
Advanced Data Structures
Test 3 - Chapter 22 Data Structures for Disjoint Sets
22.1 440-442 (3) 15Connected Components
22.2 443-445 (3) (6) 15Make-Set, Find-Set, amortized cost of Union?
Graph Algorithms
Test 3 - Chapter 23 Elementary Graph Algorithms
23.1 463-468 (6) 15Adjacency List, Adjacency Matrix, out-degree
23.2 469-476 (9) 15Breadth First Search didn't use color or predecessor
23.3 477-484 (8) (23) 15Depth First Search didn't use predecessor, Types of Edges
Test 3 - Chapter 24 Minimum Spanning Trees
24.1 498-503 (6) 151-5 (445-446), Spanning Tree, Proof (501)
24.2 504-513 (10) (16)15+5(4)Kruskal's, Prim's, 24.2-1 understand
Test 4 - Chapter 25 Single-Source Shortest Paths
25.Intro514-518 (5) 5 
25.1 519-526 (8)  Initialize-Single-Source, Relax
25.2 527-531 (5) 15Dijkstra
25.3 532-535 (4) (22)10Bellman-Ford
Matrices
Test 2 - Chapter 31 Matrix Operations
31.1 730-737 (8)  reference Matrix-Multiply (section 16.1)
31.2 739-744 (6) (14) 5Strassen's algorithm