Midterm 1 Review

Java

• Classes, variables, methods
• public, protected, private access
• constructors, default constructor
• Generic types
• toString method
• printf formating method
• arrays

Recursion

• recursive algorithms
• recursive java methods
• backtracking algorithm

Linked-Lists

• Node class
• Singly-linked lists
• Use of dummy node
• Doubly-linked lists
• for loop to find item in a linked list
• recursive method to find item in a linked list

Stacks and Queues

• As linked lists
• As arrays, and circular arrays
• What each is good for.

Mathematical Induction

• How to prove mathematical properties of problems of size $n$
• Correct base case, inductive hypothesis, and inductive step

Formal Languages

• sets of strings
• defining languages recursively
• grammars
• recognition procedures

Complexity

• Big-O notation
• Worst-case, average-case, and best-case analysis