Injective Function Course
This course equips learners with essential skills to understand and apply injective functions in mathematics. Through rigorous proofs, example construction, counterexamples, graphical analysis, and practical applications in linear algebra, invertibility, and uniqueness problems, students will gain proficiency in one-to-one mappings and their significance in advanced math contexts.

4 to 360h flexible workload
certificate valid in your country
What will I learn?
This course provides a comprehensive pathway to mastering injective functions, starting with foundational concepts in sets, functions, and logic. Participants will explore precise definitions, equivalent conditions, proof techniques, algebraic and calculus-based tests, examples, counterexamples, and applications in solving equations, linear transformations, invertibility, and identification systems.
Elevify advantages
Develop skills
- Prove injectivity using algebraic, calculus, and domain analysis methods.
- Construct injective functions and counterexamples efficiently.
- Apply injective mappings to solve equations and verify uniqueness.
- Master logical quantifiers for defining and negating injectivity.
- Analyze graphs and data to identify injective properties.
Suggested summary
Before starting, you can change the chapters and the 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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