Course Review

The whole map: foundations to algorithms

1:00

A capstone recap that connects all six pillars of the curriculum — from bits and Big-O to graphs and dynamic programming — into one unified map.

By the end, you can

Recite the six pillars of the curriculum in order and state what each one covers.
Explain what Big-O measures and rank the five common complexity classes from best to worst.
Compare the four classic data structures (array, linked list, hash table, balanced BST) on access, insert, and delete complexity.
Identify the defining move of each algorithm paradigm and give an example algorithm for each.
State the complexity of binary search and explain why the array must be sorted.
Distinguish mergesort, quicksort, and heapsort by their trade-offs in space, stability, and worst-case behavior.
Explain the time complexity of BFS, DFS, topological sort, Dijkstra, and MST algorithms.
Apply the "right tool" principle to choose an appropriate data structure or paradigm for a given scenario.

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