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Since August 2020
Instructor since August 2020
Spanish (all levels), English (all levels) and secondary school maths.
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From 34.99 C$ /h
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During my lessons, we would focus on whatever is most important for the student at the moment. However, we would also concentrate on other topics that are relevant to the topic you need more help with.

If you have any questions don't doubt on contacting me!
Location
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At student's location :
  • Around Groningen, Netherlands
Age
Preschool children (4-6 years old)
Children (7-12 years old)
Teenagers (13-17 years old)
Student level
Beginner
Intermediate
Advanced
Duration
30 minutes
45 minutes
60 minutes
The class is taught in
English
Spanish
Skills
School
English as a second language (esl)
School
Availability of a typical week
(GMT -05:00)
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
Similar classes
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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)\
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).
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Jerzy
Hello, I am a mathematics masters student specializing in algebra, geometry and number theory. I have graduated from the university of Groningen with a bachelor in mathematics. As such, I've spent a great deal of time studying mathematics at a higher level and have become acquainted with a broad range of mathematical disciplines such as algebra, geometry, analysis, calculus, probability, optimization and more, this of-course includes any high school mathematics. During my studies I working as a teaching assistant whenever possible so I have some experience teaching.

In mathematics there are often many ways to come to the same conclusion and it varies from person to person what they consider easiest to understand. As such I try to get to know the student first and figure out how they may learn best. Personally, I rely a lot on intuition and deep understanding of concepts and so i try to convey to students the most essential and fundamental ideas before moving on, as well as, giving them interpretations of what is happening so that they may becomes easier to imagine and more tangible. In solving any problem, I think it is important to first sit back and understand what is going on before embarking on any calculation or proofs.

In a typical class I would first survey what the student already knows and discuss the concepts with them making sure they understand them very well then we would move on to discussing examples and non-examples (this would take most of the class). Finally we would solve problems together discussing them as we go along. This of course can vary from student to student, their level and time available.
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Contact Cristina
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Similar classes
arrow icon previousarrow icon next
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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)\
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).
verified badge
Jerzy
Hello, I am a mathematics masters student specializing in algebra, geometry and number theory. I have graduated from the university of Groningen with a bachelor in mathematics. As such, I've spent a great deal of time studying mathematics at a higher level and have become acquainted with a broad range of mathematical disciplines such as algebra, geometry, analysis, calculus, probability, optimization and more, this of-course includes any high school mathematics. During my studies I working as a teaching assistant whenever possible so I have some experience teaching.

In mathematics there are often many ways to come to the same conclusion and it varies from person to person what they consider easiest to understand. As such I try to get to know the student first and figure out how they may learn best. Personally, I rely a lot on intuition and deep understanding of concepts and so i try to convey to students the most essential and fundamental ideas before moving on, as well as, giving them interpretations of what is happening so that they may becomes easier to imagine and more tangible. In solving any problem, I think it is important to first sit back and understand what is going on before embarking on any calculation or proofs.

In a typical class I would first survey what the student already knows and discuss the concepts with them making sure they understand them very well then we would move on to discussing examples and non-examples (this would take most of the class). Finally we would solve problems together discussing them as we go along. This of course can vary from student to student, their level and time available.
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Contact Cristina