Foundations of Higher Mathematics: Discrete Math, Abstract Algebra, Graph theory, Set Theory, Logic

From 33 C$ /h

The following courses are available and most should be taken in sequence (with some exceptions). These courses are the beginning topics for most BS and MS programs. An outline of the material can be found in the recommended reading list alongside each course.

Intro to pure and discrete math - Smith, Fletcher Patty, Epp, or Rosen.
Abstract Algebra I & II - Gallian, Herstein, or Hungerford.
Graph Theory - Chartrand and West.
Logic and Set Theory; Cameron, Suppes, Jech, Hrbacek
Graph Algorithms - Kepner, various sources
Readings of selected papers - various papers selected from combinatorics, graph theory, and other areas

About the Instructor. I have a MS/PhD in Mathematics and an undergraduate degree in Engineering. I worked as an engineer before getting my PhD. I have worked in a broad range of occupations including design and analysis of piston and gas turbine engines, teaching college mathematics, research in engineering for NASA/NGA/Army and finally working on Dept of Defense supercomputers mostly in the field of Deep Learning (TensorFlow, Pytorch).

Location

Online from United States

Age

Teenagers (13-17 years old)

Adults (18-64 years old)

Student level

Advanced

Duration

30 minutes

60 minutes

The class is taught in

English

Skills

Math

Availability of a typical week

(GMT -05:00)

New York

Online via webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

Benoit

5.0

(41)

I am a qualified and experienced mathematics tutor. Graduated from the Free University of Brussels in 2011, I started my career by teaching remedial courses in different schools in Brussels. I then specialized in individual academic support by following educational training at the Harvard Graduate School of Education. I have been giving private mathematics lessons daily for over ten years.

The students who follow my private lessons benefit from personalized support. The first session is devoted to an in-depth assessment of the student's mathematical knowledge. The objective is to detect its weak points and understand their origin in order to adapt my courses to its needs. I develop a tailor-made remediation program for each of my students aimed at filling each of their gaps. Over the course of the sessions, the student builds a solid foundation for learning and regains self-confidence. At the same time, I help him acquire a work methodology that allows him to gradually become autonomous in his studies.

I have a thorough knowledge of the mathematics curriculum for middle and high school (from 6th to 12th grade). I am also qualified to support students in preparing for international exams such as the SAT, the OMPT, and the International Baccalaureate (IB) in all its variations: Analysis and Approaches (AA SL/HL) and Applications and Interpretation (AI SL/HL).

Throughout my years of training, I studied and developed numerous techniques that facilitate learning mathematics. The strength of my teaching approach lies in my ability to explain, in simple terms, anything a student finds complicated. I am passionate about this profession because it offers me the opportunity to guide struggling students toward success. It is a true pleasure to see them progress and rediscover their connection with the fascinating world of mathematics.

I offer private tutoring in Paris (at the student's home) or remotely (online). My online lessons take place on an interactive whiteboard. This whiteboard is specifically designed to facilitate student/teacher interaction online. Thanks to this teaching tool, my online lessons are just as effective as in-person lessons. The student only needs an internet connection and a computer, tablet, or smartphone to participate.

Matías

5.0

(41)

Do you aspire to master mathematics, physics and engineering at a university level? Do you want to exceed your limits and excel in these demanding fields? Do not search anymore ! Our tailor-made private lessons are there for you.

Why choose our courses?

Unparalleled Expertise: Our professors are experts in their field, with extensive experience in university teaching. They are ready to guide you towards success.

Personalized Program: We tailor each course to your specific needs, from understanding fundamental concepts to solving complex problems.

Total Flexibility: Choose the schedule that suits you best. Whether you are an active student or a professional, we adapt to your schedule.

Constant Support: You will benefit from continuous monitoring between classes to answer all your questions and concerns.

Quality Teaching Materials: We provide high-quality learning resources to support your progress.

Who can benefit from our courses?

High school students preparing for their baccalaureate or entrance exams to engineering schools.

University students pursuing a degree in mathematics, physics or engineering.

Professionals looking to acquire or deepen technical skills.

Join us today!

Excellence doesn't wait. Contact us now to book your first lesson. Together we will build a bright future based on a solid understanding of mathematics, physics and engineering.

Raef

5.0

(41)

I give private lessons at home or online by a very modern method of Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, Geology of new French program or International School (in english IB) to students in Terminales, 1ère, Seconde, Brevet, Concours and university preparatory classes or 1st university year.
You can contact me for details.
I practice teaching since I was a student where I was first in my class.
Program and special rate for some countries that finish their program later where I can be there with help to better prepare CNED homework
‎‏The results of my final year students over the last 10 years were with the grades VERY GOOD, GOOD and EXCELLENT.
In this area of Asia, you benefit from reduced rates and a free mini session after booking.
Do not hesitate to contact me for more information, answer in a few minutes up to 12 hours maximum..

Khalil

5.0

(41)

If you’ve ever felt that science and math are difficult, it’s probably because no one showed you how to think like a problem solver.
In my classes, you’ll learn not just formulas or code but how to truly understand concepts, apply them, and build strong logical intuition.

I teach:
• 🔢 Mathematics: From algebra and calculus to applied problem-solving for real-world use.
• 💻 Computer Science: Coding fundamentals (Python, C++), algorithms, and logical thinking for beginners and intermediate learners.
• ⚛️ Physics: Mechanics, thermodynamics, and practical examples that make abstract ideas simple and visual.

As a Software Engineer and Master’s student in Engineering at Nagoya University, I bring both academic knowledge and hands-on experience from real projects. My teaching approach is interactive, visual, and deeply focused on understanding over memorization.

Let’s turn complex problems into clear, step-by-step insights — and make learning something you genuinely enjoy.

David

5.0

(41)

My lessons are unmatched, blending charisma, passion, and innovative teaching methods to create a magical learning experience. I focus on highly personalized, one-on-one sessions, understanding each student’s unique mindset to unlock their full potential.

Teaching is my true passion! I genuinely enjoy sharing my knowledge and skills with those in need. My friendly and supportive attitude allows me to establish a connection with every student right from the first lesson. So, if you're feeling demotivated and down, don't worry! I'm here to help you find the motivation you need for both academic and personal success.

I have helped more than 600 private students score top grades across these top international programs and entrance exams:
* IB DP: Math AA/AI (HL/SL), Physics (HL/SL), IA & EE
* AP: Calculus AB/BC, Precalculus, Physics 1/2/C (Mechanics, E&M), Statistics
* UK A-Levels & IGCSE: Pure Math, Further Math, Mechanics, Stats, Physics (CIE, Edexcel, AQA, OCR)
* US Standardized Tests: Digital SAT Math, ACT Math/Science, PSAT, SSAT, ISEE
* Oxbridge & UK Admissions: STEP, TMUA, PAT, ESAT, MAT
* US & EU University Placement: ALEKS, ACCUPLACER, CLEP, Bocconi Test, TOLC-I, Swedish Matematikprovet, German Studienkolleg FSP

If you have any questions, please feel free to contact me anytime here. I will respond to you as soon as I can! Cheers!

Bibek

5.0

(41)

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 Mathematics A and/or B so that you can enter the university. This course will be tailored to your specific needs, and we can 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. Algebra and combinatorics
2. Functions and their graphs
3. Trigonometric functions
4. Logarithmic functions
5. Inverse functions
6. Transformations
7. Coordinate geometry
8. Quadratic equations
9. Equalities and inequalities
10. Vector and the dot product
11. Vector representation of a line
12. Algebraic methods in planar geometry
13. Parametric equations
14. Sequence and series
15. Limits and asymptotes
16. Derivatives and integral calculus
17. Probability and statistics
18. Normal and binomial distribution
19. Hypothesis testing

And many more...

*Note that the sessions will be held online (via Discord/Zoom/Microsoft Teams).

Salah

5.0

(41)

As a teaching professional, I have always enjoyed sharing my knowledge. My goal is to provide quality education. I am aware that some topics may seem complex, but often this is simply the result of an inadequate explanation by the teacher. With me, you will discover a real interest in the material!

We strive together to achieve academic excellence, overcoming the shortcomings and difficulties encountered by your child. Studies will become a pleasant experience for him. In addition to the courses, I can also help with school orientation, identifying their preferences and highlighting the advantages and benefits of a fulfilling educational ambition.

The sessions generally take place according to the following stages:

1️⃣ The first sessions are devoted to the assessment of the student's level in order to detect existing gaps.

2️⃣ Next, we create a personalized plan to address these gaps, including the number of hours of work needed, specific areas to focus on, and appropriate training and development exercises.

3️⃣ We stay in constant contact with the student's class teacher, to keep up to date with the latest requirements and ensure a consistent approach.

4️⃣ Subsequently, I provide exams similar to those that are likely to be asked in class, to prepare the student effectively.

5️⃣ Upon request, I write a regular report, usually monthly, to keep parents informed of their child's progress throughout their course.

I adapt my methodology according to the specific needs of each student, thus offering them a personalized and adapted work approach.

In addition, I offer crash courses for students preparing for the start of the school year, allowing them to start the year well prepared, with a solid lead on the school curriculum.

If you have any questions, do not hesitate to contact me. I will be happy to help you.

Baia

5.0

(41)

I work with two kinds of students: those preparing to meet university math admission requirements (OMPT, CCVX, VWO), and those already enrolled who need solid support in calculus, linear algebra, differential equations, probability & statistics, or discrete math including students at TUM, ETH Zurich, TU Delft, KTH, EPFL, and RWTH Aachen.
Lessons are in English; I can explain in German where it helps.

Mariem

5.0

(41)

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...

Prashil

5.0

(41)

Welcome to my Maths, Physics and Science tutoring class, crafted especially for young minds preparing for IB MYP, IGCSE, and GCSE exams. As a passionate learner and dedicated tutor, I am committed to helping students not only comprehend but also develop a love for these captivating subjects. Here's what you can anticipate from my tutoring sessions

Personalised Learning: Every learner is unique, and I believe in tailoring my teaching methods to suit each student's individual needs. I don't judge; instead, I concentrate on understanding their strengths and areas for improvement to create a supportive and encouraging learning environment.

Concept Breakdown: I dissect complex topics into simpler, more manageable parts, making it easier for students to grasp challenging concepts and build a strong foundation in Physics and Science.

Student-Centred Approach: I enjoy teaching students and continually strive to ignite their curiosity and passion for learning. I aim to make each lesson engaging and enjoyable, helping students recognise the real-world applications of what they learn.

Shared Strategies: As a student who has successfully qualified for the Engineering Entrance exam test and is currently studying abroad on a fully funded scholarship, I bring my own learning strategies and study techniques to the table. These proven methods will help students achieve their academic goals.

Continuous Improvement: I am always learning and growing, just like my students. This continuous improvement mindset, which I actively promote, inspires and motivates students to strive for their best. It enables me to stay updated with the latest educational trends and techniques, ensuring that my students receive the best possible guidance.

Supportive Environment: I encourage students to ask questions, no matter how trivial they might seem. By creating a friendly and comfortable atmosphere, I ensure that students feel comfortable and open to express their doubts and curiosities, leading to a deeper understanding of the subjects.

Khalid

5.0

(41)

Are you looking for comprehensive and personalized tutoring to boost your skills and confidence in mathematics, excel in the IELTS exam, or prepare for the OMPT-D test? Look no further! I offer specialized one-on-one and group tutoring tailored to meet the individual needs of students in three key areas:

Middle School Mathematics:
Master essential math concepts, including algebra, geometry, fractions, decimals, percentages, and more.
Develop problem-solving strategies, logical thinking, and a strong foundation in mathematics.
Tailored lessons designed to match your pace and help you succeed in school assessments and standardized tests.
IELTS Exam Preparation:

Focused preparation for all four sections of the IELTS:
Listening, Reading, Writing, and Speaking.
Practice with real IELTS materials, timed mock tests, and personalized feedback on essay writing and speaking responses.
Learn effective strategies for achieving your desired band score, whether it's for academic purposes or immigration.

OMPT-D Prep (Online Mathematics Proficiency Test):
Comprehensive preparation for the OMPT-D, focusing on calculus, algebra, and problem-solving skills.
Step-by-step explanations of complex mathematical concepts and sample test problems.
Tailored strategies to optimize your performance on this challenging university entrance exam.

Why Choose Me?

Experienced Tutor
Engaging and interactive Teaching Style
Flexible Scheduling
Personalized Feedback on weaknesses to improve

Let’s work together to achieve your academic goals and unlock your full potential!

Reza

5.0

(41)

I hold a PhD in Mechanical Engineering and currently work as a post-doctoral researcher in the Aerospace Engineering Faculty at TU Delft (Delft University of Technology).
Key topics that I teach for this course include:
• Calculus: Differentiation & integration, Multivariable calculus
• Linear Algebra: Matrices, vectors, systems of equations, Eigenvalues and eigenvectors
• Differential Equations: First- and second-order ODEs, Laplace transforms
• Complex Numbers: Polar form, Euler’s formula
• Vector Calculus: Gradient, divergence, curl, Line and surface integrals
• Series & Transforms: Taylor series, Fourier series

I understand that not all teachers excel in teaching Engineering and Mathematics courses and explaining their importance to students. Courses with strong mathematical backgrounds may become boring for students who lack a solid mathematical basis. To address this, I take a student-centered approach, starting from the basics to actively engage all students, including those with weaker mathematical backgrounds. I also provide practical examples to demonstrate the real-world significance of what they are learning, inspiring and fostering their interest in the subject matter.

If you have any additional questions before starting a class, please feel free to ask me. I am here to assist! :)

Fisnik

5.0

(41)

RELIABLE TUTOR — Solvay graduate (Cum Laude), 7+ years of private tutoring, former teaching assistant (Maths/Stats).

I help students regain confidence: we clarify concepts, use concrete examples, then practice assessment-style questions. No rote learning: we reason, test, and master.

What we work on
• Chapters of your choice: equations, functions, trigonometry, geometry, derivatives, probability, statistics.
• Step-by-step method, concrete examples, and a short summary sheet each session.
• Practice on common assessment questions with feedback.

Formats & languages
• 1-to-1 or Duo/Trio (same level) · EN/FR · online (Zoom/Teams) or in person in Brussels.

Packs (year-round)
• Sprint 6 h (3 × 2 h): quick refresher and targeted practice.
• Pack 10 h: full review, study plan, and short follow-up.
• Limited WhatsApp support included with packs.

Jeremy

5.0

(41)

Greetings!

This lesson is only for already existing students that want to mix online webcam sessions with in person lessons. If you're interested in having classes with me, please have a look at my other listed classes.

Thank you for your comprehension!

Nirajan

5.0

(41)

**Master Grade 6-10 Physics with Confidence – Understand Concepts, Solve Numericals, and Excel in Exams!**

Are you finding Physics difficult or struggling with numerical problems, scientific formulas, and complex concepts? My Grade 10 Physics classes are designed to make learning Physics simple, interesting, and enjoyable through clear explanations, practical examples, and step-by-step problem-solving techniques.

**About Me**

My name is **Nirajan Adhikari**, and I hold a Bachelor of Science in Physics and a Master of Science in Physics from Kathmandu University, Nepal. With my strong academic background in Physics and experience in teaching, I focus on helping students understand scientific principles rather than simply memorizing formulas.

**What Will You Learn?**

My lessons cover essential Grade 10 Physics topics, including:

- **Force and Motion:** Newton's laws, acceleration, momentum, gravity, and equations of motion.
- **Work, Energy, and Power:** Kinetic energy, potential energy, conservation of energy, and numerical applications.
- **Heat and Temperature:** Heat transfer, specific heat capacity, thermal expansion, and related calculations.
- **Light and Optics:** Reflection, refraction, lenses, mirrors, and ray diagrams.
- **Electricity:** Electric current, voltage, resistance, Ohm's law, electrical circuits, and power.
- **Magnetism:** Magnetic fields, electromagnets, and electromagnetic effects.
- **Waves and Sound:** Wave properties, frequency, wavelength, and sound propagation.
- **Numerical Problem-Solving:** Formula selection, unit conversions, mathematical calculations, and examination techniques.

Topics will be adjusted according to your school syllabus and examination requirements.

**My Teaching Method**

I believe every student can succeed in Physics with the right explanation, guidance, and practice.

My lessons include:

✅ Simple explanations of difficult Physics concepts.

✅ Real-life examples to understand scientific principles.

✅ Step-by-step solutions to numerical problems.

✅ Diagrams, illustrations, and interactive discussions.

✅ Practice questions, homework support, and regular assessments.

✅ Past examination questions and revision strategies.

✅ Personalized lessons based on individual learning needs.

**Who Can Join?**

These classes are ideal for Grade 6-10 students following A level curriculum, GCSE, IGCSE, or other equivalent secondary school curricula.

Whether you need help understanding basic concepts, improving your grades, completing assignments, or preparing for final examinations, I will support you throughout your learning journey.

**Why Choose My Classes?**

As a postgraduate in Physics, I bring strong subject knowledge, analytical thinking, and a structured teaching approach to every lesson. I explain complicated concepts in a simple and understandable way, helping students develop confidence and independent problem-solving skills.

My goal is not just to help you pass your examination but to build a strong foundation in Physics for your future studies.

**Start Your Physics Learning Journey Today!**

Join my Grade 10 Physics classes and discover how interesting and understandable Physics can be.

**Learn the concepts. Practice the numericals. Build confidence. Achieve better results!**