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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 universitylevel students) so you can understand the fundamental concept and excel in your studies. I have teaching experience of 4+ years in Physics and Mathematics to both high school and universitylevel 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 Antiderivative, 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 ranknullity theorem
and many more...
*Note that the sessions will be held online (via Skype/Zoom/Microsoft Teams).
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 Antiderivative, 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 ranknullity 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
At teacher's location: Cologne, Germany

Use ⊞+wheel to zoom!
General info
Age:  Teenagers (1317 years old) Adults (1864 years old) 

Student level:  Beginner Intermediate Advanced 
Duration:  60 minutes 90 minutes 
The class is taught in:  English 
About Me
Welcome!I have recently completed my Master's degree in Nanoscience (w/ cum Laude) at the University of Groningen and started my Ph.D. in Physics at the University of Cologne, Germany. Before that, I completed my Bachelor's degree in Physics and Mathematics at Jacobs University Bremen. I already have 4+ 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 judgmentfree learning environment
+ Learning pace and content adjusted to your needs
+ 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
Regarding my academic qualification, I am currently pursuing a Ph.D. in Physics at the University of Cologne, Germany. Quite recently, I obtained my M.Sc. Nanoscience degree (w/ cum Laude) at the University of Groningen in the Netherlands. About 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. 4+ years of private tutoring for high school and universitylevel 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 (13)
Excellent first session!
My daughter explained that the lesson was much more favorable to her last tutor. Bibek seemed to know immediately what the math was and how to explain it. Much appreciated!
Very knowledgeable tutor. I was preparing for the Boswell exam and his patience and everpositive 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 wellplanned 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 managed to grasp a rough outline of all major topics for the CCVX Physics exam in just 2 months thanks to Bibek. Definitely one of the best teachers I have ever had. Very organised and easy to understand notes as well as very concise explanations of various topics and relevant calculations. He also always makes sure to review topics that are more difficult and was always ready to answer any questions.
...
Hello and welcome! I am a dedicated physics and mathematics tutor with extensive experience (3+ years) in helping students excel in their studies. Whether you're preparing for standardized tests like the SAT, SAT Subject Tests, APPhysics, APCalculus, or pursuing advanced coursework like VWO, Alevels, OMPTA, OMPTB, OMPTC, OMPTD, or OMPTF, I'm here to provide you with topquality online tutoring sessions that cater to your specific needs.
With my academic background (Ph.D. in Physics [ongoing], M.Sc. in Nanoscience, and B.Sc. in Physics and Mathematics) and a passion for teaching, I have successfully assisted students in mastering physics and mathematics for years. I understand that test preparation can be challenging and stressful, but with proper guidance and support, it can be conquered easily. I aim to help you develop a robust foundation by clarifying fundamental concepts.
Course Highlights:
1. Physics Topics:
 Mechanics
 Electricity and Magnetism
 Waves and Optics
 Thermodynamics
 Modern Physics
 Quantum Mechanics
 And more, tailored to your requirements!
2. Mathematics Topics:
 Algebra
 Geometry
 Trigonometry
 Calculus (AP and beyond)
 Probability and combinatorics
 Problemsolving techniques
 Customized to suit your level and objectives!
Whether you're seeking to boost your scores on standardized tests or aiming for excellence in your coursework, I am here to guide you. I tailor sessions to your learning needs. Feel free to suggest any additional topics or specific concepts to cover. We'll work together to improve weaknesses and enhance strengths, preparing you for the future.
Interested? Contact me now for personalized online tutoring.
*Note that the sessions will be held online (via Skype).
Hi! I am a Master's student at the University of Groningen in the Netherlands. I offer private tutoring for high school and/or universitylevel students so they can understand the fundamental concepts and excel in their studies. I have teaching experience of 4+ years in Physics and Mathematics to both high school and universitylevel 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 electrons in electric and magnetic fields, 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. Solidstate 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).
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 universitylevel students) so you can understand the fundamental concept and excel in your studies. I have teaching experience of 4+ years in Physics and Mathematics to high school and universitylevel 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. Oscillations and waves
3. Electrical circuits
4. Electric fields
5. Magnetic fields
6. Electromagnetic induction
7. Ray Optics
8. Pressure
9. Fluids and gases
10. Heat and thermodynamics
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).
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 universitylevel students) so you can understand the fundamental concept and excel in your studies. I have teaching experience of 4+ years in Physics and Mathematics to high school and universitylevel 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 higherorder 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 Antiderivative, 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).
Ask a question
Send a message explaining your needs and Bibek will reply soon:
The more detail, the better.
Ex. "Hi, when are you available to meet for a lesson?"
Ex. "Hi, when are you available to meet for a lesson?"
Availability of a typical week
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from $90.73At teacher's location
from $90.73Online via webcam
100% Satisfaction Guarantee
Goodfit 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
 18 repeat students
 Phone number verified
 Google connected
Availability of a typical week
(GMT 04:00) New York
Mon  Tue  Wed  Thu  Fri  Sat  Sun  

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from $90.73At teacher's location
from $90.73Online via webcam
Goodfit Instructor Guarantee
If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.
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