1st lesson free
Clara
- Rate $35
- Response 1h
$35/h
Contact
1st lesson free
- Mathematics
- Trigonometry
- Geometry
- Statistics
- Organic chemistry
Mathematics with 10 years of experience, covering real analysis, abstract algebra, complex analysis, and advanced proof-writing for college students.
- Mathematics
- Trigonometry
- Geometry
- Statistics
- Organic chemistry
Lesson location
-
At Clara's house: Miami
- online
-
at your home or a public place : will travel up to 20 mi. from Miami
-
About Clara
Mathematics tutor with 10 years of experience teaching college students. Have taught around 300 students, helping many prepare for competitive exams, research projects, and graduate-level mathematics. My teaching is rigorous, proof-oriented, and intellectually challenging. I believe mathematics is about understanding structures and patterns. I provide comprehensive notes, proof templates, and problem collections. I am also available for research mentorship and paper writing guidance. Notable achievements include helping over 40 students secure top ranks in national exams and guiding several to publish research papers.
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About the lesson
- All Levels
- English
All languages in which the lesson is available :
English
My teaching approach for Mathematics is built on logical rigour and proof-based reasoning. I connect abstract algebra to number theory and cryptography, so you see the applications. We break down real analysis into epsilon-delta arguments, group theory into symmetry structures, and complex analysis into elegant contour integrals. I encourage you to construct proofs and find counterexamples. Motivation comes from solving olympiad-style problems and discussing open questions. I give honest feedback and adapt to your learning style. For Mathematics, we cover sequences, series, continuity, differentiation, integration, groups, rings, fields, analytic functions, residues, and conformal mappings. I also teach related topics like set theory, mathematical logic, and topology basics. I use case studies from pure math and my own students' successes. Sessions include proof writing, problem solving, and exploring abstract structures. I assign homework like proving a theorem or solving 5 advanced problems. I keep notes to track your progress. I also provide historical context to make topics interesting. For analysis, I use graphical interpretations of epsilon-delta definitions. For algebra, I use symmetry examples from geometry. For complex analysis, I show applications in physics and engineering. I conduct weekly proof-writing workshops and provide feedback on clarity and rigour. My goal is to make you a rigorous and creative mathematician.
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Rates
Rate
- $35
Pack rates
- 5h: $175
- 10h: $350
online
- $35/h
free lessons
This first lesson offered with Clara will allow you to get to know each other and clearly specify your needs for your next lessons.
- 1hr
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