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Charles
- Tarief €15
- Reactie 1u
€15/u
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- Wiskunde
- Wiskunde B
- Calculus
- Wiskunde D
- Wiskundige analyse
Student at University of Groningen majored in theoretical mathematics who has significant passion for mathematics and I never shy away my love to mathematics!
- Wiskunde
- Wiskunde B
- Calculus
- Wiskunde D
- Wiskundige analyse
Leslocatie
Over Charles
Student from University of Groningen majoring in mathematics with my final grade of Calculus being 8 for Calculus 1 and calculus 2 (Specialized for mathematics majors)
Previously I was studying Economics also at advanced level.
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My course will be conducted in English.
I am highly proficient in English (C2 level)
I am able to understand some Dutch speaking however my speaking Dutch is less ideal for rigorous teaching.
Understand all aspects of high school mathematics and relevant learning outcome, if you are interested, I can also give lessons customized for competitive mathematics (involving nuanced and subtle algebraic manipulation and very intrigued inequality)
I am able to give lessons for all secondary school mathematic however I am only able to teach during weekends since I live very far from Groningen in Wieringerwerf en Schagen and nearby area and I am desperate for moving to Groningen near my school which is a reason I seek teaching opportunities to teach so I can afford a bit more expensive shared student living which facilitates my move to there!
Lees verder
Over deze les
- Basisschool
- Secundair onderwijs
- Seconde
- +6
niveaus :
Basisschool
Secundair onderwijs
Seconde
Master
Volwassenenonderwijs
Bachelor
Bachelor afgestudeerd
Doctoraat
Anders
- Nederlands
Alle talen die tijdens de les gesproken worden :
Nederlands
Calculus
Course language in English
My grade for Calculus at University of Groningen is 8 (calculus course specialized for mathematics students)
I am able to teach mathematics in all levels covering AP exams particularly calculus BC (for the entrances of universities in the United States) and VWO, Havo, etc. Due to that I am unable to give lessons in Dutch I will ask students to possess the necessary English communication skill.
For Dutch level "VWO" education or similar "HAVO" level mathematics my focus is primarily on:
(1): Give a rigorous yet more intuitive taste of calculus than what students typically learn from high school.
(2): Explore the deeper aspects of mathematical reasoning for related concepts
(3) Student chooses the content that is to be taught.
Course consists of sections for one lesson.
(1) Warm up practice
(2) Content to be taught
(3) Evaluation session
(4) Homework and feedback
Since I am highly intrigued by the art of mathematics, which means I know the interesting aspects of mathematics which will make the course less abstract and down to earth, so they can not only learn mathematics formally yet develop the happiness of investigating truth and academic skill (and jokes of course)
Some of the potential learning outcome including but not limited to:
(1) Differentiation and integration with more advanced techniques and limit computation.
(2) Basic mathematical argumentation such as direct, contrapositive proofs and proof by contradiction.
(3) Graphic interpretation of functions and learn the connection of slope in graphs.
(5) Parametric curves and coordinates transformation.
(6) Geometry and Geometry on cartesian plane.
(7) Basic linear algebra concept such as basic invariant, matrix multiplication and row (column) operation.
(8) Learn the basic mathematical concepts of domain, codomain and how they interplay.
(9) Learn to use derivative and second order derivative to systematically investigate nature of different extrema.
(10) Learn basic asymptotic analysis leveraging the tools of algebraic manipulation or L'hopital rule.
(11) Investigate the property of the given function using mean value theorem, generalized mean value theorem (Cauchy Mean Value Theorem), Rolle theorem, Darboux theorem and Flett's mean value theorem (a corollary of Rolle theorem)
The teaching is really freestyle if the student wishes or they have the fantasy to explore, customized outcome is possible, this means that I can teach as long as I feel that I am capable. This will allow students to ask question or be able to learn what is below the surface.
(1) Learn to use abstract devices to formally define limit, continuity, convergence and integrability. (epsilon argument)
(2) Nuanced understanding of continuity and uniform continuity including its preservation in compact space.
(3) Learn to use cantor's argumentation to prove uncountability of the reals.
(4) Understanding of infimum, supremum and the completeness property of the real.
(5) Recursive relation and their overlaps with different fixed point theorem and initial value problem solving differential equations.
(6) Learn the connectedness of graph and a taste of formal treat of intermediate value theorem.
(7) Understand the different criteria for convergent (divergent) sequence and epsilon-styled argumentation for convergence (Cauchy-criteria) and divergent (M-N argument)
(9) Learn to use different convergent tests to show infinite series' property such as convergence, divergence or conditional convergence.
(10) A taste of point-set topology
(11) Probability and measure-theoretic probability (Use of Lebesgue integration)
(12) Understand the interconnection of the completeness property (This one is really abstract basically I would not suggest anyone without formal background in mathematics learning this). The logical equivalence between the least upper bound property, Bolzano weierstrass theorem, Heine Borel theorem, intermediate value theorem, Cauchy completeness, monotone convergence theorem (and potentially monotone subsequence theorem) and the property of limit points.
Some introduction in vector calculus
(1) A taste of continuity of function whose image is in higher dimensions, or pre-image in higher dimension
(2) Formal definition of continuity for multivariable functions, including using direct epsilon delta to argue the continuity or produce contradiction using epsilon-delta argumentation to disprove the continuity. Alongside the different way of algebraic manipulation and substitutions for continuity test.
(3) Understand the formal definition of differentiability and its relation to continuity of the functions and their partial derivatives. This eventually lead students to understand formal definition of Frechet differentiability and its implications.
(4) Formal definitions of Jacobian matrix and understand its role in linear transformation and derive polar transformation, cylindrical transformation, spherical transformation and ellipsoid transformation.
(5) Understand the concept of Lagrange multiplier, Hessian matrix and how to utilize the tool to find maxima, minima and saddle points.
(6) Understand nuanced parametrization including parametric surface, curves and closed curves.
(8) Formal treat of implicit function theorem.
(9) Techniques of Fubini theorem and techniques for multiple integral in suitable coordinate systems, and systematic methods for handling line integral, surface integral, closed path integral and integral involving differentials.
(10) Formal treat of Stokes, Green and divergence theorem and apply them for handling integrals.
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Tarieven
Tarief
- €15
Pakkettarieven
- 5u: €75
- 10u: €150
online
- €10/u
gratis les
Charles biedt zijn eerste les aan. Dit stelt je in staat om je eerste les te volgen en je behoeften af te stemmen op je volgende lessen.
- 1u
Specificaties
Mainly the labor preparing questions and travel cost
Preparing questions is laborious
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