Mathematical Induction Course
Gain expertise in mathematical induction, starting from basics to advanced methods including strong, double, and structural forms. Apply these to solve inequalities, recurrences, sums, divisibility, and combinatorial problems. Develop the ability to craft clear, precise proofs suitable for professional mathematical applications and teaching.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course teaches you to create, examine, and share strong proofs using mathematical induction. You'll learn basic induction patterns, different types like strong and structural, and use them on sums, inequalities, recurrences, divisibility, and more. It also improves your skills in explaining concepts, giving feedback, and making problems for better communication.
Elevify advantages
Develop skills
- Master induction proofs with solid base cases, assumptions, and steps.
- Use strong, double, and structural induction on sequences, trees, and recurrences.
- Tackle complex sums, recurrences, inequalities, and divisibility via induction.
- Integrate induction with invariants, extremal methods, and generating functions.
- Explain induction effectively 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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