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# Calculus and Linear Algebra (High School and University Level)

Hi! Welcome! I am a Master's student at the University of Groningen in the Netherlands. I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concept and excel in your studies. I have teaching experience of 3+ years in Physics and Mathematics to both high school and university-level students.

This class aims to provide an overview of calculus and linear algebra and focuses on the fundamental mathematical tools and concepts such as limits, differentiation, and integration. Building on these basic concepts, we will review methods for solving problems related to optimization, linear differential equations, and matrix algebra.

Outline of the course:
1. Calculus:
1.1 Limits of functions
1.2 Continuity, types of discontinuities, intermediate value theorem
1.3 Differentiation (or derivative), slope, secant, tangent
1.4 Rules and theorems for differentiation, power rule, product rule, chain rule
1.5 Derivatives of exp, log, and trigonometric functions
1.6 Implicit differentiation and derivative of inverse functions
1.7 Rolle's theorem, mean value theorem, critical point, maximum/minimum of a function
1.8 First and second derivative tests, inflection points
1.9 Anti-derivative, indefinite integral, integration by substitution, integration by parts
1.10 Definite integral and its application (area between curves, application in physics)\
1.11 Optimization and linear differential equations

2. Linear Algebra:
2.1 Vectors and scalars in Euclidean space, vector arithmetic, scalar product, cross product
2.2 Equations for lines and planes, vector spaces, linear independence, span, basis, dimension
2.3 Linear transformations, coordinates, and representation of linear transformations by matrices
2.4 Matrix operations: matrix multiplication, transpose, determinant, inverse, and Hermitian conjugate
2.5 Systems of linear equations, Gaussian elimination
2.6 Eigenvalues and eigenvectors
2.7 Range, kernel, and rank-nullity theorem

and many more...

*Note that the sessions will be held online (via Skype/Zoom/Microsoft Teams).

## Location

Online via webcam
At teacher's location: Groningen, Netherlands

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Use ⊞+wheel to zoom!

## General info

Age: Teenagers (13-17 years old)Adults (18-64 years old) BeginnerIntermediateAdvanced 45 minutes60 minutes90 minutes120 minutes English

Welcome!

I have recently completed my Master's degree in Nanoscience at the University of Groningen. Before that, I completed my Bachelor's degree in Physics and Mathematics at Jacobs University Bremen. I already have 3+ years of experience tutoring students both as a teaching assistant and a private tutor. I adapt my tutoring individually for each student so you can get the most out of it.

With me, you can expect the following advantages:
+ 100% attention and support
+ Safe and judgment-free learning environment
+ Identification, solving, and overcoming of problem topics/tasks
+ Elimination of knowledge gaps
+ Flexible lessons possible (also on weekends and public holidays)
+ Lessons for high school and Bachelor students

I look forward to hearing from you and working together to help you achieve your study goals. If you have any further questions, please do not hesitate to contact me.

## Education

I have recently obtained M.Sc. Nanoscience degree at the University of Groningen in the Netherlands. Two years ago, I successfully completed my Bachelor's degree in Physics and Mathematics from Jacobs University Bremen, Germany with a 1.05 GPA. I have taken various specialization courses such as Condensed Matter Physics and Devices, Advanced Quantum Mechanics, Elementary Particles and Fields, Advanced Optics, etc.

## Experience / Qualifications

- 3+ years teaching assistant at Jacobs University for Bachelor's courses such as Classical Physics, Modern Physics, Analytical Mechanics, and Quantum Mechanics. Additionally, worked as a teaching lab assistant at the University of Groningen for the 'electricity and magnetism' course.
- 3+ years of private tutoring for high school and university-level students
- Organized MINT workshop in Physics for high school students around the Bremen area
- Actively involved in Physics and Math societies
- Participated in the International Physics Olympiad (IPhO 2016, Switzerland and Liechtenstein) and the University Physics Competition (UPC 2018, 2019, 2020)

# Reviews(4)

Thanks for helping out.
Very knowledgeable tutor. I was preparing for the Boswell exam and his patience and ever-positive attitude were instrumental to my understanding and subsequent passing of the exam. Best of all, he recognises your weak points as a student and helps you remedy them by adjusting his teaching methodologies to facilitate that. I've booked 10 sessions with him to eliminate deficiencies and still plan to do more sessions with him in the future!
Extremely well-planned sessions, with material to review sent in advance, making the time worthwhile. Is also very patient and will take time to explain any concepts I don't understand. I really appreciate the help.
I was preparing for CCVX and Boswell Beta physics exams and the lessons with Bibek helped a lot. They were very flexible, and suited for me, I received a lot of tips and the general atmosphere during the lessons was very good. I would definitely recommend Bibek to everyone looking for a person with great physics knowledge and also teaching skills, as he was able to explain everything in a way that I would definitely understand, by even giving some visual references.
41.00EUR/ h

## "Online Tutoring" in Physics (School and University Level)

Hi! I am a Master's student at the University of Groningen in the Netherlands. I offer private tutoring for high school and/or university-level students so they can understand the fundamental concept and excel in their studies. I have teaching experience of 3+ years in Physics and Mathematics to both high school and university-level students. I have expertise in the following courses: 0. all high school topics 1. Classical Physics (Newtonian mechanics, linear motion, rotational motion, collision theory, angular momentum, and many more) 2. Modern Physics (Electrostatics, Maxwell's law, motion of electron in electric and magnetic field, Quantum theory of light, Compton scattering, photoelectric effect, and many more) 3. Optics (Ray optics, wave mechanics, reflection and refraction, Fresnel's law, polarizer, matrix optics, interference, diffraction, and many more) 4. Quantum Mechanics (Schrödinger equation, Heisenberg uncertainty principle, commutation relation, the addition of angular momentum, matrix representation, density matrix, and many more) 5. Solid-state Physics (Crystal structure, wave diffraction, and the reciprocal lattice, crystal vibrations (phonons), the density of states, semiconductor physics, pn junction, transistors, and many more) *Note that the sessions will be held online (via Skype/Zoom/Microsoft Teams).
41.00EUR/ h

## Limit, Derivative, Integral (or Anti-derivative) and their Applications (High School and University Level)

Hi! Welcome! I am a Master's student at the University of Groningen in the Netherlands. I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concept and excel in your studies. I have teaching experience of 3+ years in Physics and Mathematics to high school and university-level students. This class aims to provide an overview of calculus and focuses on the fundamental mathematical tools and concepts such as limits, differentiation, and integration. Building on these basic concepts, we will review methods for solving problems related to their applications. Note that this course will be tailored to your specific needs and we could mainly focus on the topics you are struggling with. Furthermore, please feel free to contact me and suggest any other topics you would like me to cover and teach. Outline of the course: ----------------------------------------------------------------------------------------------------------------------------------------------- 1.1 Limits of functions 1.2 Evaluate the limits using L'hospital's rule (for 0/0, ∞/∞) 1.3 Continuity, types of discontinuities, intermediate value theorem ----------------------------------------------------------------------------------------------------------------------------------------------- 1.4 Introduction to differentiation (or derivative) 1.5 Tangent line to a curve, slope, instantaneous velocity 1.6 Rules and theorems for differentiation: power rule, product rule, chain rule 1.7 Derivatives of exp, log, and trigonometric functions 1.8 Implicit function and implicit differentiation 1.9 Derivative of inverse functions 1.10 Second and higher-order derivatives 1.11 Application of derivatives 1.12Geometrical interpretation of the derivative of a function 1.13 Rolle's theorem, mean value theorem, critical point, maximum/minimum of a function 1.14 First and second derivative tests, inflection points ----------------------------------------------------------------------------------------------------------------------------------------------- 1.15 Anti-derivative, indefinite integral 1.16 Techniques of integration: integration by substitution, integration by parts 1.17 Definite integral and its application (area between curves, application in physics) 1.18 Area as a definite integral 1.19 Areas between two curves and many more... *Note that the sessions will be held online (via Skype/Zoom/Microsoft Teams).
41.00EUR/ h

41.00EUR/ h

## CCVX + James Boswell Entrance Exams Preparation (Physics)

Hi! Welcome! I am a Master's student at the University of Groningen in the Netherlands. I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concept and excel in your studies. I have teaching experience of 3+ years in Physics and Mathematics to high school and university-level students. This class aims to prepare you for the CCVX and James Boswell entrance examination in Physics so that you can enter the university. This course will be tailored to your specific needs and we could mainly focus on the topics you are struggling with. Furthermore, please feel free to contact me and suggest any other topics you would like me to cover and teach. Topics of the course: 1. Mechanics 2. Ray Optics 3. Oscillations and waves 4. Electricity 5. Electric fields 6. Magnetic fields 7. Electromagnetic induction 8. Pressure 9. Fluids and gases 10. Heat 11. Sensors and automatic systems 12. Radiation and matter 13. Radioactivity and medical imaging 14. Nuclear energy 15. Light waves 16. Model of the atom 17. Basics of quantum mechanics and many more... *Note that the sessions will be held online (via Skype).

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Ex. "Hi, when are you available to meet for a lesson?"

### Availability of a typical week

(GMT -04:00) New York
MonTueWedThuFriSatSun
0
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3  Monday at 3:00  Tuesday at 3:00  Wednesday at 3:00  Thursday at 3:00  Friday at 3:00  Saturday at 3:00  Sunday at 3:00
4  Monday at 4:00  Tuesday at 4:00  Wednesday at 4:00  Thursday at 4:00  Friday at 4:00  Saturday at 4:00  Sunday at 4:00
5  Monday at 5:00  Tuesday at 5:00  Wednesday at 5:00  Thursday at 5:00  Friday at 5:00  Saturday at 5:00  Sunday at 5:00
6  Monday at 6:00  Tuesday at 6:00  Wednesday at 6:00  Thursday at 6:00  Friday at 6:00  Saturday at 6:00  Sunday at 6:00
7  Monday at 7:00  Tuesday at 7:00  Wednesday at 7:00  Thursday at 7:00  Friday at 7:00  Saturday at 7:00  Sunday at 7:00
8  Monday at 8:00  Tuesday at 8:00  Wednesday at 8:00  Thursday at 8:00  Friday at 8:00  Saturday at 8:00  Sunday at 8:00
9  Monday at 9:00  Tuesday at 9:00  Wednesday at 9:00  Thursday at 9:00  Friday at 9:00  Saturday at 9:00  Sunday at 9:00
10  Monday at 10:00  Tuesday at 10:00  Wednesday at 10:00  Thursday at 10:00  Friday at 10:00  Saturday at 10:00  Sunday at 10:00
11  Monday at 11:00  Tuesday at 11:00  Wednesday at 11:00  Thursday at 11:00  Friday at 11:00  Saturday at 11:00  Sunday at 11:00
12  Monday at 12:00  Tuesday at 12:00  Wednesday at 12:00  Thursday at 12:00  Friday at 12:00  Saturday at 12:00  Sunday at 12:00
13  Monday at 13:00  Tuesday at 13:00  Wednesday at 13:00  Thursday at 13:00  Friday at 13:00  Saturday at 13:00  Sunday at 13:00
14  Monday at 14:00  Tuesday at 14:00  Wednesday at 14:00  Thursday at 14:00  Friday at 14:00  Saturday at 14:00  Sunday at 14:00
15  Monday at 15:00  Tuesday at 15:00  Wednesday at 15:00  Thursday at 15:00  Friday at 15:00  Saturday at 15:00  Sunday at 15:00
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from 41€At teacher's location
from 41€Online via webcam

### Good-fit Instructor Guarantee

If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.

### Online reputation

• Instructor since June 2021
• 5 repeat students
• Phone number verified

### Availability of a typical week

(GMT -04:00) New York
MonTueWedThuFriSatSun
0
1
2
3  Monday at 3:00  Tuesday at 3:00  Wednesday at 3:00  Thursday at 3:00  Friday at 3:00  Saturday at 3:00  Sunday at 3:00
4  Monday at 4:00  Tuesday at 4:00  Wednesday at 4:00  Thursday at 4:00  Friday at 4:00  Saturday at 4:00  Sunday at 4:00
5  Monday at 5:00  Tuesday at 5:00  Wednesday at 5:00  Thursday at 5:00  Friday at 5:00  Saturday at 5:00  Sunday at 5:00
6  Monday at 6:00  Tuesday at 6:00  Wednesday at 6:00  Thursday at 6:00  Friday at 6:00  Saturday at 6:00  Sunday at 6:00
7  Monday at 7:00  Tuesday at 7:00  Wednesday at 7:00  Thursday at 7:00  Friday at 7:00  Saturday at 7:00  Sunday at 7:00
8  Monday at 8:00  Tuesday at 8:00  Wednesday at 8:00  Thursday at 8:00  Friday at 8:00  Saturday at 8:00  Sunday at 8:00
9  Monday at 9:00  Tuesday at 9:00  Wednesday at 9:00  Thursday at 9:00  Friday at 9:00  Saturday at 9:00  Sunday at 9:00
10  Monday at 10:00  Tuesday at 10:00  Wednesday at 10:00  Thursday at 10:00  Friday at 10:00  Saturday at 10:00  Sunday at 10:00
11  Monday at 11:00  Tuesday at 11:00  Wednesday at 11:00  Thursday at 11:00  Friday at 11:00  Saturday at 11:00  Sunday at 11:00
12  Monday at 12:00  Tuesday at 12:00  Wednesday at 12:00  Thursday at 12:00  Friday at 12:00  Saturday at 12:00  Sunday at 12:00
13  Monday at 13:00  Tuesday at 13:00  Wednesday at 13:00  Thursday at 13:00  Friday at 13:00  Saturday at 13:00  Sunday at 13:00
14  Monday at 14:00  Tuesday at 14:00  Wednesday at 14:00  Thursday at 14:00  Friday at 14:00  Saturday at 14:00  Sunday at 14:00
15  Monday at 15:00  Tuesday at 15:00  Wednesday at 15:00  Thursday at 15:00  Friday at 15:00  Saturday at 15:00  Sunday at 15:00
16
17
18
19
20
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from 41€At teacher's location
from 41€Online via webcam

### Good-fit Instructor Guarantee

If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.