1st lesson free
Sofia
- Rate PKR 11,266
- Response 1h
PKR 11,266/hr
Contact
1st lesson free
- Algebra
- Trigonometry
- Geometry
- Logic
Algebra with 9 years of experience, covering vector spaces, linear transformations, and inner product spaces for university students.
- Algebra
- Trigonometry
- Geometry
- Logic
Lesson location
About Sofia
Algebra tutor with 9 years of experience teaching university and engineering students. Have taught around 280 students, helping many excel in linear algebra 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.
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About the lesson
- Primary
- Middle School
- SSC
- +6
levels :
Primary
Middle School
SSC
HSSC
Adult Education
Bachelor
Master
Doctoral
Pre-Primary
- English
All languages in which the lesson is available :
English
My teaching approach for Algebra is centered on linear algebra with a focus on abstract vector spaces and transformations. I cover vector spaces and subspaces in detail, including linear combinations, spanning sets, linear independence, basis, and dimension with clear definitions and proofs. I teach linear transformations, kernel, image, rank-nullity theorem, and matrix representations. I also cover inner product spaces, including norms, orthogonality, Gram-Schmidt process, and applications in least squares and orthogonal projections. I use real-world applications from physics, engineering, and computer science to make the subject relevant. I provide detailed notes, proofs, and problem sets. I assign homework that includes both theoretical derivations and numerical applications. I conduct weekly tests and provide feedback. I maintain a progress log and offer additional support for challenging topics. My goal is to prepare you for advanced linear algebra and its applications in your field.
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Rates
Rate
- PKR 11,266
Pack prices
- 5h: PKR 55
- 10h: PKR 110
online
- PKR 11,266/h
free lessons
The first free lesson with Sofia will allow you to get to know each other and clearly specify your needs for your next lessons.
- 1hr
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