Syllabus
- Introduction to Programming
- Types of languages
- Memory management
- Flow of the program
- Flowcharts
- Pseudocode
- Introduction to Java
- Introduction
- How it works
- Setup Installation
- Input and Output in Java
- Conditionals & Loops in Java
- if-else
- loops
- Switch statements
- Data-types
- Coding best practices
- Functions
- Introduction
- Scoping in Java
- Shadowing
- Variable Length Arguments
- Overloading
- Arrays
- Introduction
- Memory management
- Input and Output
- ArrayList Introduction
- Searching
- Linear Search
- Binary Search
- Modified Binary Search
- Binary Search on 2D Arrays
- Sorting
- Insertion Sort
- Selection Sort
- Bubble Sort
- Count Sort
- Radix Sort
- Cyclic Sort
- Sliding window
- Two Pointer
- Subarray Questions
- Pattern questions
- Strings
- Introduction
- How Strings work
- Comparison of methods
- Operations in Strings
- StringBuilder in java
- Maths for DSA
- Introduction
- Complete Bitwise Operators
- Prime numbers
- HCF / LCM
- Sieve of Eratosthenes
- Newton's Square Root Method
- Number Theory
- Euclidean algorithm
- Advanced Concepts for CP (later in the course)
- Bitwise + DP
- Extended Euclidean algorithm
- Modulo Properties
- Modulo Multiplicative Inverse
- Linear Diophantine Equations
- Fermat’s Theorem
- Wilson's Theorem
- Lucas Theorem
- Chinese Remainder Theorem
- Recursion
- Introduction
- Why recursion?
- Flow of recursive programs - stacks
- Convert recursion to iteration
- Tree building of function calls
- Tail recursion
- Sorting:
- Merge Sort
- Quick Sort
- Backtracking
- Sudoku Solver
- N-Queens
- N-Knights
- Maze problems
- Recursion String Problems
- Recursion Array Problems
- Recursion Pattern Problems
- Subset Questions
- Space and Time Complexity Analysis
- Introduction
- Comparisons of various cases
- Solving Linear Recurrence Relations
- Solving Divide and Conquer Recurrence Relations
- Big-O, Big-Omega, Big-Theta Notations
- Get equation of any relation easily - best and easiest approach
- Complexity discussion of all the problems we do
- Space Complexity
- Memory Allocation of various languages
- NP-Completeness and Hardness
- Object Oriented Programming
- Introduction
- Classes & its instances
- this keyword in Java
- Properties
- Inheritance
- Abstraction
- Polymorphism
- Encapsulation
- Overloading & Overriding
- Static & Non-Static
- Access Control
- Interfaces
- Abstract Classes
- Singleton Class
- final, finalize, finally
- Object Class
- Generics
- Exception Handling
- Collections Framework
- Lambda Expression
- Enums
- Fast IO
- Greedy Algorithms
- Stacks & Queues
- Introduction
- Interview problems
- Push efficient
- Pop efficient
- Queue using Stack and Vice versa
- Circular Queue
- Linked List
- Introduction
- Fast and slow pointer
- Cycle Detection
- Single and Doubly LinkedList
- Reversal of LinkedList
- Dynamic Programming
- Introduction
- Recursion + Recursion DP + Iteration + Iteration Space Optimized
- Complexity Analysis
- 0/1 Knapsack
- Subset Questions
- Unbounded Knapsack
- Subsequence questions
- String DP
- Trees
- Introduction
- Binary Trees
- Binary Search Trees
- DFS
- BFS
- AVL Trees
- Segment Tree
- Fenwick Tree / Binary Indexed Tree
- Square Root Decomposition
- Heaps
- Introduction
- Theory
- Priority Queue
- Heapsort
- Two Heaps Method
- k-way merge
- Top k elements
- Interval problems
- HashMap
- Introduction
- Theory - how it works
- Comparisons of various forms
- Limitations and how to solve
- Map using LinkedList
- Map using Hash
- Chaining
- Probing
- Huffman-Encoder
- Tries
- Graphs
- Introduction
- BFS
- DFS
- Working with graph components
- Minimum Spanning Trees
- Kruskal Algorithm
- Prims Algorithm
- Dijkstra’s shortest path algorithm
- Topological Sort
- Bellman ford
- A* pathfinding Algorithm