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Analysis of algorithms

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Analysis of algorithms

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Complexity & Induction: Algorithms & Proofs

Covers worst-case complexity, algorithms, and proofs including mathematical induction and recursion.

Derivatives, O-Notation

Explores derivatives, O-Notation, extrema, and algorithm complexity in Analysis 1.

Merge Sort: Divide-and-Conquer

Introduces Merge Sort, a divide-and-conquer algorithm for efficient array sorting, discussing correctness, runtime analysis, linear-time merging, and recurrence solving techniques.

Heaps and Priority Queues

Explores heaps, heapsort, and priority queues, including operations and analysis.

Dynamic Programming: Palindromic Subsequences

Explores dynamic programming for palindromic subsequences, merging binary search trees, and finding the median of two sorted arrays.

Recursive Sorting: Merge Sort

Explains recursive sorting using Merge Sort and its linearithmic complexity.

Merge Sort: Divide and Conquer

Covers the merge sort algorithm, which recursively divides, sorts, and merges sublists to achieve a final sorted list.

Complexity Analyses: Linear and Binary Search, Sorting Algorithms

Covers the complexity analyses of search and sorting algorithms.

Hashing and Quick Sort

Covers the efficient implementation of hash tables and the Quick Sort algorithm.

Merge Sort: Divide and Conquer

Explores the Merge Sort algorithm, applying the Divide and Conquer approach to sorting arrays efficiently.