1st lesson free
Ashley
- Rate $36
- Response 1h
$36/h
Contact
1st lesson free
- Algebra
- Trigonometry
- Geometry
- Logic
Algebra with 9 years of experience, covering field theory, algebraic extensions, and Galois theory basics for graduate students.
- Algebra
- Trigonometry
- Geometry
- 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
- Tertiary
- +6
levels :
Primary
Secondary
Tertiary
Tvet
Adult Education
University
Masters
Doctorate
Pre primary
- English
All 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
- $36
Pack rates
- 5h: $180
- 10h: $360
online
- $36/h
free lessons
This first lesson offered with Ashley will allow you to get to know each other and clearly specify your needs for your next lessons.
- 1hr
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