Logic, Computational & Advanced Mathematics
Develop the language and habits of mathematical reasoning through sets, logic, quantified statements, and proof techniques.
Course structure
This course is published as a development map. Full lessons, practice, and assessments will be added after content review.
Complete these courses before beginning when they are available.
Learning outcomes
Module outline preview
Estimated times add up to the course’s planned learning time. Every module is in development.
Distinguish definitions, claims, assumptions, and conclusions.
Use set operations and mappings as a foundation for formal reasoning.
Analyze compound statements and logical equivalence.
Write and negate universal and existential statements precisely.
Test validity and disprove overly broad claims with counterexamples.
Construct clear proofs using definitions and known facts.
Apply additional proof strategies to structured mathematical claims.
Plan, write, revise, and evaluate short mathematical proofs.
Course status
This course is not yet open for enrollment and does not include lessons, practice, assessments, or formal credit. You can review the outline while it is developed.
Recommended learning paths
These paths show a recommended order. Branches identify connected study that can follow once prerequisites are complete.
Learning path
Use proof-based reasoning to enter discrete, analytical, and abstract mathematical study.
End capabilityUse proof-based reasoning to enter discrete, analytical, and abstract mathematical study.