Logical Analysis Course
Gain mastery over the logical foundations of real analysis and algebra in this course. Sharpen your skills in quantifiers, implications, and proofs to confidently read, write, and teach precise mathematical arguments. Build confidence in handling dense mathematical texts by turning them into verifiable, structured proofs while avoiding common errors.

flexible workload from 4 to 360h
valid certificate in your country
What will I learn?
This course equips you to transform complex statements into clear, step-by-step arguments. Practice formalising limits, continuity, bounds, extrema, and sequences with precise quantifiers and connectives. Rewrite textbook passages as rigorous proofs, dodge logical pitfalls, and explain definitions and theorems accurately for easy teaching and verification.
Elevify advantages
Develop skills
- Formalise analysis concepts by converting limits, extrema, and bounds into logical forms.
- Convert mathematical prose into structured proofs from textbook excerpts.
- Expertly handle quantifiers and connectives, including negations and reordering of ∀ and ∃.
- Quickly build rigorous proofs by pinpointing hypotheses, steps, and conclusions.
- Teach logical concepts effectively to beginners using clear notation and examples.
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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