Injective Function Course
Gain expertise in injective functions through strict proofs, visual aids, and practical examples. Develop skills to prove properties, build examples and counterexamples, and link injectivity to linear algebra, invertibility, and uniqueness in higher maths, preparing you for advanced studies.

from 4 to 360h flexible workload
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 definitions and proofs, apply tests with algebra and calculus, create examples and counterexamples, and see uses in equations, linear maps, invertibility, and practical systems.
Elevify advantages
Develop skills
- Prove injectivity using algebra, calculus, and domain checks.
- Construct injective functions and counterexamples quickly.
- Solve equations and confirm uniqueness 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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