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Midterm Study Guide
Midterm Exam, Monday, July 17, 2006
- Exam policies
- Closed book, closed
notes. No cheating.
- The exam begins
promptly at 9:40 and ends at 10:40.
- Topics covered
- Stacks and Queues,
array and list implementations.
- Recursion. Designing
algorithms recursively.
- Asymptotic analysis,
Big-O. Worst case, upper bound, lower bound, analyzing loops,
recurrences, amortized complexity.
- Trees –
definitions
- Binary Heaps, D-heaps
- Findmin, Deletemin, Insert. Additional
operations of increase, decrease, buildheap.
- Binomial Queues -
Findmin, Deletemin, Insert. Additional operations of merge, increase,
decrease.
- Dictionary ADT
- Binary search trees
– Inorder, preorder, postorder traversals, insert, delete, find.
- AVL trees - Single and
double rotations, insert, find.
- Splay trees -
Splaying, insert, find.
- B trees - Motivation, choice of M and L.
- Disjoint Union/Find - Up-trees. Weighted union (union by size) and path compression.
- Study suggestions
- Do concrete problems
from the book and re-work problems from lecture, section, and homeworks.
Suggestions of more problems from the book:
Chapter 2: 2.6, 2.10. Chapter 3: 3.21, 3.22, 3.23 (a). Chapter 4: 4.1,
4.8, 4.22, 4.27, 4.28. Chapter 6: 6.2, 6.3, 6.30.
- Selected solutions to practice problems. Please note that some
of the figures end up on the last page.
- Practice all the
operations in binary heaps, binomial queues,
binary search trees, AVL trees, splay trees, and disjoint sets. Practice analysis of algorithms.
- All material from
lecture up through Disjoint Sets is fair game. This material corresponds to: Chapters:
1, 2, 3, 4, 6 (not including 6.6 and 6.7), and 8 (not including 8.6).
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