1st lesson free
Ashley
- Rate R589
- Response 1h
R589/h
Contact
1st lesson free
- Algebra
- Trigonometry
- Geometry
- Maths Logic
Algebra with 9 years of experience, covering field theory, algebraic extensions, and Galois theory basics for graduate students.
- Algebra
- Trigonometry
- Geometry
- Maths Logic
Lesson location
About Ashley
Algebra tutor with 9 years of experience teaching graduate and advanced undergraduate students. Have taught around 280 students, helping many excel in field theory and Galois theory. I am known for rigorous and deep teaching. I provide comprehensive notes, proofs, and research guidance. I am available for research mentorship and advanced study preparation.
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About the lesson
- Primary
- Secondary
- Matric/GCSE
- +8
levels :
Primary
Secondary
Matric/GCSE
AS Level
A Level
BTech
Adult education
Undergraduate
Masters
Diploma
Doctorate
- English
Languages in which the lesson is available :
English
My teaching approach for Algebra is centered on advanced field theory and Galois theory. I begin with field extensions, including finite and algebraic extensions, and minimal polynomials. I teach splitting fields, normal extensions, and separable extensions with detailed proofs. I cover Galois groups, fundamental theorem of Galois theory, and applications in solving polynomial equations by radicals. I also cover cyclotomic extensions and solvability by radicals. I use examples from classical problems like constructible numbers and roots of unity to make concepts tangible. I provide detailed notes, proofs, and problem sets that emphasize both theoretical understanding and problem-solving skills. I assign homework that includes proof writing, theorem applications, and research-style problems. I conduct regular tests and provide detailed feedback on reasoning and clarity. I maintain a progress log and offer additional support for challenging topics. My goal is to prepare you for PhD-level research in algebra.
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Rates
Rate
- R589
Package rates
- 5h: R2945
- 10h: R5890
online
- R589/h
free lesson
The free first lesson with Ashley allows you to get to know the tutor and discuss your needs and expectations.
- 1h
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