Mathematical Induction Course
Gain command over mathematical induction from basics to sophisticated methods. Explore strong, double, and structural induction address inequalities, recurrences, and combinatorial identities and produce precise, robust proofs suited for professional maths practice. The programme hones proof-writing, problem-solving, and explanatory skills vital for advanced studies and careers in mathematics.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course equips you with skills to create, evaluate, and explain solid proofs confidently. You'll grasp basic induction setups, popular variations, and expert approaches, using them on inequalities, sums, recurrences, divisibility, and structural proofs. It also boosts your ability to teach, critique, and build problems for effective communication.
Elevify advantages
Develop skills
- Master induction proofs by quickly building strong base cases, hypotheses, and steps.
- Use strong, double, and structural induction on sequences, trees, and recurrences.
- Tackle tough sums, recurrences, inequalities, and divisibility via induction.
- Integrate induction with invariants, extremal methods, and generating functions.
- Explain induction effectively: create problems, identify mistakes, and craft neat 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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