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Trusted teacher
This teacher has a fast response time and rate, demonstrating a high quality of service to their students.
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Since April 2020
Instructor since April 2020
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Interdisciplinary tutoring in mathematics, English, Spanish, French & German
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From 67 C$ /h
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In this difficult time I help not to lose touch with the school material or to give professionals the opportunity to learn a (long-awaited) language.

Lessons are always customized, depending on the type of learning and level, in order to achieve the best possible learning success.
Location
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At student's location :
  • Around Pulheim, Germany
About Me
I am always on time, I enjoy tutoring and my students are very important to me.

The best result should always be achieved and especially with regard to tutoring, the students should ultimately achieve their desired grades without me.
Education
I graduated from high school in 2019 with the advanced courses in English and social sciences and am currently in the second semester of studying law at the University of Cologne.
Experience / Qualifications
I have been tutoring for 5 years, have certificates in English (Business English C1) and Spanish (B2). I have experience with children with arithmetic problems and dyslexia.
Age
Children (7-12 years old)
Teenagers (13-17 years old)
Adults (18-64 years old)
Seniors (65+ years old)
Student level
Beginner
Intermediate
Advanced
Duration
60 minutes
90 minutes
120 minutes
The class is taught in
German
Spanish
French
Russian
English
Skills
English as a second language (esl)
School
English for adults
School
Spanish for adults
Availability of a typical week
(GMT -04:00)
New York
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At student's home
Mon
Tue
Wed
Thu
Fri
Sat
Sun
00-04
04-08
08-12
12-16
16-20
20-24
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Bibek
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)\
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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
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Growing up with multiple languages, I understand the challenges that come with learning a new language. That's why I strive to create a comfortable and supportive environment for my students, where they can learn at their own pace and receive personalized attention.

My approach to teaching German is practical and focused on real-world scenarios. For my adult students, I understand the importance of improving their language skills for professional reasons, so I design my lessons to incorporate business-related vocabulary and communication skills. For my younger students, I create engaging and fun activities that make learning German a playful and enjoyable experience.

Whether you are a beginner or an advanced student, I am here to help you achieve your language goals. I offer both online and in-person options and can tailor my lessons to fit your schedule and specific needs. Additionally, I offer personalized tutoring sessions for students who need extra support or want to focus on a specific aspect of the language.

I believe that language learning is more than just memorizing vocabulary and grammar rules. It's about immersing yourself in the culture and experiencing the language in a meaningful way. That's why I offer a range of cultural activities and events to help my students deepen their understanding and appreciation of German culture.

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Hello! I'm Carlos, a native Spanish teacher with several years of experience teaching students of different ages, levels, and nationalities. My goal is for each student to learn Spanish in a useful, dynamic way, tailored to their individual needs, interests, and objectives.

🎯 Fully personalized classes

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• Spanish for children and teenagers
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• Spanish for travel and everyday situations
• Spanish for work and professional purposes
• Conversation and improved fluency
• General learning of Spanish from beginner to advanced level

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I am a certified DELE examiner for all levels, from A1 to C2. Therefore, I can help you prepare for the exam by working specifically on the different tests and assessment criteria, as well as providing guidance and feedback to improve your performance.

🌍 A methodology tailored to you

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If you're looking to learn Spanish in a progressive and structured way, we can start from A1 and advance to C1 following the standards of the Cervantes Institute. And if you already have some knowledge, we'll start from your current level and continue progressing from there.

Tell me what your goals are and let's start working on them!
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