Injective Function Course
Gain strong skills in injective functions through detailed proofs, examples, counterexamples, and real applications. Connect concepts to linear algebra, invertibility, and uniqueness in mathematics, using tests, graphs, and mappings suitable for advanced study and practical use.

flexible workload from 4 to 360h
valid certificate in your country
What will I learn?
This course provides a clear path to understanding injective functions from basics. You will study functions, sets, and logic, learn exact definitions and proofs, test with algebra and calculus, create examples and counterexamples, and apply to equations, linear maps, invertibility, and practical identification systems.
Elevify advantages
Develop skills
- Prove injectivity using algebra, calculus, and domain checks.
- Create injective functions and counterexamples quickly.
- Solve equations and justify inverses with injective maps.
- Handle logical quantifiers for injectivity statements.
- Spot injective patterns in graphs and real data.
Suggested summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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