General Concepts of Functions Course
This course builds essential skills in functions for math professionals, covering domains, ranges, injectivity, surjectivity, inverses, and composition. Participants gain sharper proofs, cleaner notation, and error-free problem-solving through practical examples with linear, quadratic, and reciprocal functions, plus strong written explanations.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain a practical toolkit for functions, mastering domain, codomain, image, preimage, restrictions, and intervals. Learn notation, composition, injectivity, surjectivity, and inverses via linear, quadratic, and reciprocal examples, while honing error checking and clear, report-ready explanations.
Elevify advantages
Develop skills
- Master domains and ranges: compute, restrict, and justify for key function types.
- Test injective, surjective, and invertible functions with clear algebraic proofs.
- Compute and interpret function compositions, domains, and chained transformations.
- Evaluate linear, quadratic, and reciprocal functions quickly with rigorous reasoning.
- Write precise, readable function solutions using top-tier notation and explanations.
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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