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| Elements of Programming | |
| Your First Program Programming in Java Input and Output | |
| Built-in Types of Data Definitions Characters and Strings Integers Floating-point numbers Booleans Comparisons Library methods and APIs Type conversion | |
| Conditionals and Loops If statements While loops For loops Nesting Applications Infinite loops | |
| Arrays Arrays in Java Coupon collector Sieve of Eratosthenes Two-dimensional arrays Example: self-avoiding random walks | |
| Input and Output Birds-eye view Standard output Standard input Redirection and piping Standard drawing Standard audio | |
| Case Study: Random Web Surfer Input format Transition matrix Simulation Mixing a Markov chain | |
| Functions and Modules | |
| Static Methods Using and defining static methods Properties of static methods Implementing mathematical functions Using static methods to organize code Implementing static methods for arrays Example: superposition of sound waves | |
| Libraries and Clients Using static methods in other programs Libraries Random numbers Input and output for arrays Iterated function systems Standard statistics Modular programming | |
| Recursion Your first recursive program Mathematical induction Euclids algorithm Towers of Hanoi Function call trees Exponential time Gray codes Recursive graphics Brownian bridge Pitfalls of recursion | |
| Case Study: Percolation Percolation Basic scaffolding Vertical percolation Testing Estimating probabilities Recursive solution for percolation Adaptive plot | |
| Object-Oriented Programming | |
| Data Types Basic definitions Color Digital image processing String processing String-processing application: genomics Input and output revisited Properties of reference types | |
| Creating Data Types Basic elements of a data type Mutable types Complex numbers Mandelbrot set Commercial data processing Classical OOP example | |
| Designing Data Types Designing APIs Encapsulation Immutability Spatial vectors Data mining Design-by-contract | |
| Case Study: N-body Simulation Body data type Universe data type N-body simulation | |
| Algorithms and Data Structures | |
| Performance Observations Hypotheses Order of growth classifications Predictions Caveats Performance guarantees Memory | |
| Sorting and Searching Binary search Insertion sort Mergesort Application: frequency counts Application: longest repeated substring | |
| Stacks and Queues Pushdown stacks Array implementation Linked lists Array doubling Parameterized data types Stack applications FIFO queues Queue applications Iterable collections Resource allocation | |
| Symbol Tables API Symbol table clients Binary search trees Performance characteristics of BSTs Traversing a BST Extended symbol table operations Set data type | |
| Case Study: Small World Phenomenon Graphs Graph data type Graph client example Shortest paths in graphs Small-world graphs | |
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