Calculus and Linear Algebra (High School and University Level)

From 78.54 £ /h

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).

Location

Use Ctrl + wheel to zoom!

At teacher's location :

Groningen, Netherlands

Cologne, Germany

Online from Netherlands

About Me

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 6+ 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.

Experience / Qualifications

- 6+ years of private tutoring for high school and university-level students
- 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.
- 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)

Age

Teenagers (13-17 years old)

Adults (18-64 years old)

Student level

Beginner

Intermediate

Advanced

Duration

60 minutes

90 minutes

The class is taught in

English

Skills

Math

Calculus

High school entrance prep

Reviews

Availability of a typical week

(GMT -05:00)

New York

At teacher's location and via webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

Online tutoring on “Physics and Mathematics“ for SAT, SAT subject tests, AP-Physics/Calculus, VWO, A-levels, OMPT-A/B/C/D, CCVX/Boswell Beta

78.54 £ /h

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).

CCVX + James Boswell Entrance Exams Preparation (Mathematics A or B)

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- ITA -
Ehi! Sono Alessandro, un dottorando in scienze dell'atmosfera con un percorso di studi tra chimica e scienze ambientali. Sarò felice di aiutarti in matematica, analisi, analisi dati e statistica, dalle basi fino ai livelli più avanzati. Se hai domande da farmi, manda pure un messaggio!