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

Hi! Welcome! I am a Ph.D. researcher in Physics at the University of Cologne, Germany. Recently, I graduated from the University of Groningen in the Netherlands with a Master's degree in Nanoscience (w/ cum Laude). I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concepts and excel in your studies. I have teaching experience of 5+ years in Physics and Mathematics to the 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
1.12 Geometrical 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 Discord/Zoom/Microsoft Teams).

Lieu

Cours par webcam
Chez le professeur: Groningen, Netherlands
Chez le professeur: Cologne, Germany

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Info générales

Age :
Adolescents (13-17 ans)
Adultes (18-64 ans)
Seniors (65+ ans)
Niveau du Cours :
Débutant
Intermédiaire
Avancé
Durée :
60 minutes
90 minutes
Enseigné en :anglais

Présentation

Welcome!

I have recently obtained my Master's degree in Nanoscience (w/ cum Laude) at the University of Groningen and started my Ph.D. journey 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 5+ years of experience tutoring students as both 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
+ 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 university 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 have been pursuing a Ph.D. in Physics at the University of Cologne, Germany, since 2023. Quite recently, I obtained my M.Sc. Nanoscience degree (w/ cum Laude) at the University of Groningen in the Netherlands. In 2021, I completed my Bachelor's in Physics and Mathematics from Jacobs University Bremen, Germany, with a 1.05 GPA. During my Bachelor's, I took various specialization courses such as Condensed Matter Physics and Devices, Advanced Quantum Mechanics, Elementary Particles and Fields, Advanced Optics, etc.

Expérience / 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. Currently, I am also working as a teaching lab assistant at the University of Cologne for a master's course in condensed matter.
- 5+ 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 during my studies
- Participated in the International Physics Olympiad (IPhO 2016, Switzerland and Liechtenstein) and the University Physics Competition (UPC 2018, 2019, 2020)

Commentaires (20)

Un professeur fantastique sur tous les plans ! Bibek est très patient et sympathique et m'a aidé dans une grande variété de matières en physique et en mathématiques. Il est extrêmement bien organisé, clair dans ses explications et compétent.
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Excellent professeur, il m'a aidé en mathématiques et en physique. Très flexible, peut bien expliquer et s'il est informé à l'avance sur les sujets, il vient bien préparé aux cours, avec des exemples de questions, etc.
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Très rapide, excellente communication et mon fils a indiqué que la leçon de Bibek l'a vraiment aidé dans sa préparation au test OMPT-A. Merci !
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Excellent professeur. J'ai suivi des cours d'algèbre linéaire avec Bibek. Il venait toujours préparé à l'avance aux cours, ce qui a rendu le processus d'apprentissage beaucoup plus fluide et plus facile pour moi. Il n'a pas seulement passé en revue chaque concept et sujet en détail, mais s'est également assuré d'illustrer chaque concept avec des exercices supplémentaires. Son style d'enseignement patient et axé sur les détails m'a aidé à apprendre les concepts de base de l'algèbre linéaire à partir de zéro. Je suis presque sûr qu'on ne rencontre pas souvent un tuteur aussi gentil et compréhensif. Merci encore beaucoup Bibek pour tous vos efforts !
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Bibek était super ! Il m'a vraiment aidé à combler mes lacunes en mathématiques et m'a également donné un nouvel aperçu de la façon d'aborder les questions, ce qui était génial. Je recommande vivement ses cours !
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...
Hi! Welcome! I am a Ph.D. researcher in Physics at the University of Cologne, Germany. Recently, I graduated from the University of Groningen in the Netherlands with a Master's degree in Nanoscience (w/ cum Laude). I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concepts and excel in your studies. I have teaching experience of 5+ years in Physics and Mathematics to the 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. 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 Discord/Zoom/Microsoft Teams).
Hi! Welcome! I am a Ph.D. researcher in Physics at the University of Cologne, Germany. Recently, I graduated from the University of Groningen in the Netherlands with a Master's degree in Nanoscience (w/ cum Laude). I offer private tutoring (for high school and/or university-level students) so you can understand the fundamental concepts and excel in your studies. I have teaching experience of 5+ 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 Discord/Zoom/Microsoft Teams).
Hi! I am a Ph.D. researcher in Physics at the University of Cologne, Germany. Recently, I graduated from the University of Groningen in the Netherlands with a Master's degree in Nanoscience (w/ cum Laude). I offer private tutoring for high school and/or university-level students so they can understand the fundamental concepts and excel in their studies. I have teaching experience of 5+ 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 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. 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 Discord/Zoom/Microsoft Teams).
Hello and welcome! I am a dedicated physics and mathematics tutor with extensive experience (5+ years) in helping students excel in their studies. Whether you're preparing for standardized tests like the SAT, SAT Subject Tests, AP-Physics, AP-Calculus, or pursuing advanced coursework like VWO, A-levels, OMPT-A, OMPT-B, OMPT-C, OMPT-D, or OMPT-F, I'm here to provide you with top-quality 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 - Problem-solving 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 Discord/Teams/Zoom).

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Mohamed
Preparation for the physics-chemistry baccalaureate: methodology & training
**🌟 Excellence Assured: Prepare for the Bac G/E physics test! 📚** Dear Future Bachelor, The Baccalaureate physics test is an exciting challenge, and I am here to rigorously guide you towards success. I am Mohamed, and using innovative methods, cutting-edge techniques and effective tips, I prepare you to face this exam with confidence. 📊 **Why Choose My Physical-Chemistry Support for the Baccalaureate?** 🔥 **Targeted Approach:** With my experience and my passion for private lessons and with my students as a chemistry teacher, I am here to support you in your preparation for the physics-chemistry test at the Bac. My goal is to help you master key concepts and develop a deeper understanding. 🎯 **Strategic Thinking:** Beyond simple memorization, I encourage you to think and analyze questions critically. This approach strengthens your autonomy in reflective subjects, a valuable asset for exams and beyond. 📚 **Solid Foundation:** My supervision is based on methodological bases and essential know-how. I will guide you through each step of the physics-chemistry test, equipping you with the skills needed to excel. 📝 **Authentic Preparation:** At the end of each session, you will receive a BAC-type table assignment adapted to your needs. Before taking it under exam conditions, you will have access to the PDF course materials and the methodology necessary to prepare with complete confidence. 📅 **Register Now!**

Robert
Math / Stat / Proba, Physics / Chemistry, and Bio, At Your Place, At My Place, or Remotely
A highly experienced Franco-Belgian teacher (ook in het nederlands!) offers private lessons in mathematics (including finance), probability and statistics, as well as physics, chemistry, and biology for secondary and higher education levels. For physics, chemistry, and biology, the instruction is tailored to the secondary level, specifically up to the 5th year of secondary education in Belgium. Whether you prefer lessons at your place, my place, or remotely, I am flexible to accommodate your needs. If necessary, I can travel to your home in Brussels, Walloon and Flemish Brabant, with a minimum duration of 2 hours per session. The lessons are designed to provide extensive practice with numerous exercises. Distance learning options are also available through platforms such as Skype, Facebook, etc. Please note that for students in France, only distance learning courses are provided. In mathematics, I specialize in various topics and frequently provide lessons covering the entire secondary school curriculum, including math 6 and higher. These topics encompass factorization, equations of the 1st and 2nd degree (with in-depth study of parabolas), limits, derivatives, integrals, exponentials and logarithms, as well as trigonometry. Additionally, I am occasionally called upon to teach analytical geometry in space, including equations of lines and planes. For statistics and probabilities, I provide instruction in descriptive and inferential statistics (univariate and bivariate), covering confidence intervals and hypothesis tests, applicable to secondary and higher education levels. Feel free to reach out to me to discuss and arrange the lessons based on your specific needs and availability. My aim is to help you enhance your skills effectively and provide personalized instruction. By tailoring the lessons to your requirements, we can ensure rapid progress in your studies.

Ayoub
Private lessons for students of the French mission
I am committed to teaching my students while adopting an active teaching method. I put all my experience acquired as a private tutor at the service of their success. My seriousness, my listening and my kindness allow me to overcome difficulties and excel in: - Math, - Chemical Physics, My courses are aimed at students in the French system from 6th to 12th grade (Speciality: Mathematics, PC)

Benson
Mathematics (Cambridge IGCSE / GCSE / Pearson Edexcel / Oxford AQA / O-Levels)
Learn with the best, most experienced, and certified Cambridge tutor. I am a qualified and certified physical and online tutor located in Lusaka, Zambia. As an internationally qualified, experienced, and certified teacher, I specialize in Mathematics and Sciences (Physics, Chemistry, and Biology). With 5 years of teaching experience with international students, I am well-versed in various international curricula such as the Cambridge International Education of the UK, CBS curricula, Edexcel Curriculum, International Baccalaureate Diploma, and American curriculum. I offer full-time and part-time tutoring to students from the USA, the Caribbean, the UK, India, China, Singapore, Malaysia, Turkey, the Netherlands, Luxembourg, Belgium, Germany, France, Italy, and South Africa. Book a lesson with me, and we can start on any day and time that suits you. With my 5 years of professional experience in Mathematics, I bring a high level of competence to my teaching. I am very familiar with both the British and American curricula, ensuring that I can provide comprehensive instruction tailored to the needs of my students.

Mariem
Private lessons and academic support Tunisian/Arabic program for non-Arabic speakers (Medina volume)
I am an experienced teacher, particularly in academic support and homework monitoring, whether online or in person. I provide private lessons for primary school four sessions per week (Math, Reading and comprehension, French, Written expression). I am experienced in teaching the Arabic language to non-Arabic speakers using booklets known as the volume of Medina series...

Rocío
Support classes in humanities subjects: History, anthropology, sociology, literature.
If you need help taking your exams or preparing your history, philosophy, anthropology, sociology, or literature papers, I'm here to help! We'll review key texts and concepts from each area, and I'll share my own study techniques with you so we can achieve the best results together. And what's that result? The ability to strengthen your critical thinking and gain confidence in it. I'll be with you on this journey of heuristic growth!

Ryan
Math Courses in Brussels - Experienced Tutor - Master's at ULB in Business Engineering
(FR/ENGL) Experienced and passionate tutor, my courses are primarily aimed at high school students up to the beginning of higher education. You are in the right place if you are looking to improve or fill gaps in mathematics or statistics. I adapt according to the situation and the objectives of the student, offering tailored pedagogy, as well as lively and interesting courses. • For home lessons (individual sessions or small groups), I can easily travel around Brussels and surrounding areas. • The "at the teacher's" courses are held in a venue near the Free University of Brussels (ULB). • I can also offer courses online or in a "hybrid" format. Thanks to virtual teaching tools, enjoy interactive courses, no matter your location. Do not hesitate to contact me for any information; I would be delighted to help you. Looking forward to it, Ryan