Recurrences: Substitution, Recursion Tree, Master Theorem
This generated surface maps a learner-facing curriculum unit to its canonical source routes.
Curriculum surface
- Open learner-facing unit
- Curriculum path:
content/curriculum/foundations/semester-02-algorithms/module-01-algorithm-analysis-design/concepts/cluster-01-asymptotic-analysis-and-mathematical-foundations/03-recurrences-substitution-recursion-tree-master-theorem-primary.md - App:
foundations - Semester:
semester-02-algorithms - Module:
module-01-algorithm-analysis-design - Unit kind:
concept - Curation level:
generated_default
Learning objectives
- Explain Recurrences: Substitution, Recursion Tree, Master Theorem in the language of the current curriculum, not just the source book.
- Apply Recurrences: Substitution, Recursion Tree, Master Theorem to one concrete learner task or example inside this semester.
- Use
introduction-to-algorithms-clrs,the-algorithm-design-manualas a selective source of truth when the learner-facing explanation is not enough.
Prerequisites
- The earlier concept pages and practice tasks in the current module.
Source books
introduction-to-algorithms-clrsthe-algorithm-design-manual
Source routes
Introduction To Algorithms Clrs
- /books/introduction-to-algorithms-clrs/chapter-04-multiplying-square-matrices via
CLRS: Akra-Bazzi recurrences,CLRS: Proof of the continuous master theorem,CLRS: The master method for solving recurrences,CLRS: The recursion tree method,CLRS: The substitution method for solving recurrences
The Algorithm Design Manual
- /books/the-algorithm-design-manual/chapter-04-applications-of-sorting via
Skiena: Solving divide-and-conquer recurrences
Supporting curriculum routes
No supporting curriculum routes linked yet.
External enrichment
No curated enrichment resources yet.
AI companion modes
- Explain simply
- Socratic tutor
- Quiz me
- Challenge my understanding
- Diagnose my confusion
- Generate extra practice
- Revision mode
- Connect forward / backward
Source-of-truth note
This teaching unit is learner-facing guidance assembled from multiple canonical book routes. Use the listed source books as the primary conceptual spine for Recurrences: Substitution, Recursion Tree, Master Theorem, and treat outside material as supporting enrichment only.