Mathematical Induction Course
Gain confidence in mathematical induction from basics to advanced levels. Learn core principles, strong, double, and structural variants. Apply them to solve inequalities, recurrences, sums, divisibility, and combinatorial problems. Enhance proof-writing, problem design, error detection, and clear teaching skills for professional math success.

4 to 360h flexible workload
certificate valid in your country
What will I learn?
This course teaches you to design, analyze, and present rigorous proofs using mathematical induction. Master core structures, variants like strong and structural induction, and advanced applications to inequalities, sums, recurrences, divisibility, and more. Develop skills in teaching, providing feedback, and constructing problems for effective communication.
Elevify advantages
Develop skills
- Master induction proofs with strong base cases, hypotheses, and steps.
- Use strong, double, and structural induction for sequences, trees, recurrences.
- Tackle sums, inequalities, recurrences, and divisibility via induction.
- Integrate induction with invariants, extremal methods, generating functions.
- Teach induction effectively: create problems, identify errors, polish solutions.
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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