Mathematical Induction Course
Gain expertise in mathematical induction from basic principles to advanced methods. Explore strong, double, and structural induction to handle inequalities, recurrences, combinatorial identities, and more. Develop the ability to produce clear, precise proofs suitable for professional math applications. This structured learning path ensures you can apply these techniques reliably in various mathematical contexts.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course on mathematical induction helps you build skills to create, examine, and share strong proofs confidently. You will learn the main structure of induction, different types, and higher-level techniques, using them for inequalities, sums, recurrences, divisibility, and structural proofs. It also improves your ability to teach, give feedback, and make problems for better communication.
Elevify advantages
Develop skills
- Master induction by quickly building solid base cases, hypotheses, and steps.
- Use strong, double, and structural induction on sequences, trees, and recurrences.
- Tackle complex sums, recurrences, inequalities, and divisibility with induction.
- Blend induction with invariants, extremal methods, and generating functions.
- Teach induction well by creating problems, finding mistakes, and writing clear solutions.
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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