1st lesson free
Aria's profile and their contact details have been verified by our experts
Aria
- Rate $67
- Response 1h
$67/hr
Contact
1st lesson free
- Algebra
- Trigonometry
- Arithmetic
- Geometry
Algebra with 8 years of experience, covering number theory, modular arithmetic, and Diophantine equations for advanced students.
- Algebra
- Trigonometry
- Arithmetic
- Geometry
Lesson location
About Aria
Algebra tutor with 8 years of experience teaching advanced high school and college students. Have taught around 270 students, helping many succeed in number theory and related courses. I am known for rigorous and clear teaching. I provide comprehensive notes, proofs, and problem sets. I am available for research guidance and advanced study preparation. Many of my students have gone on to pursue careers in mathematics and cryptography.
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About the lesson
- Primary
- High School
- NCEA Level 1
- +7
levels :
Primary
High School
NCEA Level 1
NCEA Level 2
NCEA Level 3
Adult education
Undergraduate
Masters
Diploma
Doctorate
- English
All languages in which the lesson is available :
English
My teaching approach for Algebra is centered on number theory and its applications. I cover divisibility, prime numbers, Euclidean algorithm, and fundamental theorem of arithmetic with detailed proofs and examples. I teach modular arithmetic, including congruence classes, solving linear congruences, and Chinese remainder theorem with step-by-step methods. I cover Diophantine equations, including linear Diophantine equations and methods for solving them, and applications in cryptography and coding theory. I also teach Fermat's little theorem, Euler's theorem, and their applications in primality testing and RSA encryption. I use real-world examples to show how number theory is used in modern technology. I provide detailed notes, proofs, and problem sets. I assign homework that includes both theoretical proofs and problem-solving exercises. I conduct weekly tests and provide feedback on reasoning and clarity. I maintain a progress log and offer additional support for challenging topics. My goal is to prepare you for advanced mathematical studies and research in number theory and cryptography.
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Rates
Rate
- $67
Pack prices
- 5h: $335
- 10h: $670
online
- $67/h
free lessons
The first lesson with Aria will allow you to get to know each other and discuss your needs for future lessons.
- 1hr
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