📈 Calculus Explained by an Applied Mathematician (10+ Years of Teaching Experience)

From 56 £ /h

🛑 Stop looking for homework answers online. Learn from a Mathematician with 10+ years of teaching experience! I will teach you how to read, understand, and solve Calculus problems effectively. We will master the fundamentals and learn how they may be applied. We will review variations of questions that may be asked of you, and we will also evaluate the importance and implications of the solutions.

💡 See how Calculus is done from a Mathematician. I have been there, done that. Made mistakes. Went about learning Calculus the long, hard, windy way. For the last decade, I have determined where students tend to get snagged and developed explanations that are appropriate to the level of the learner. I am interested in seeing you stand on your own, and I want you to develop your confidence in solving problems in Calculus and beyond.

Extra information

Please have ready your current course materials, if applicable.

Location

Online from United Kingdom

About Me

I offer tutoring in Mathematics, English, Biology, Physics, and SAT/ACT/AP Exam Preparation. I am native to the United States and teach in English.

For more than a decade, I have given private lessons to students of all ages and various educational goals. My explanatory methods and supplementary materials are tailored to the individual and aim to make learning efficient and thorough.

With respect to SAT/ACT/AP Preparation, I teach subjects for which I have attained top marks (99th percentile / AP score 5) and have followed the current curricula:

✏️ SAT
✏️ ACT
📉 AP Calculus AB
📉 AP Calculus BC
🎲 AP Statistics
🧪 AP Biology
🌱 AP Environmental Science
🧠 AP Psychology

In addition to the above subject and exam prep lessons, I teach subtopics in Mathematics and Biology within my specialty. Please inquire!

Education

🇺🇸 Applied Mathematics (BSc) @ University of California San Diego
🇪🇸 Mathematical Engineering (MSc) @ Universitat Politècnica de Catalunya
🇸🇪 Tactile Neurophysiology (PhD) @ University of Gothenburg

Experience / Qualifications

Since 2013 📐 Mathematics Tutoring (All Levels)
Since 2016 📰 English Tutoring (All Levels)
Since 2021 🧲 Physics Tutoring (Pre-University)
Since 2024 🦠 Biology Tutoring (Pre-University)

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

English

Skills

Calculus

Trigonometry

Statistics

Reviews

Availability of a typical week

(GMT -04:00)

New York

Online via webcam

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

💯 SAT / ACT with Top American University Graduate

75 £ /h

📕 I have consulted students internationally on how to systematically improve their SAT and ACT scores. Overnight success is a myth, and entrance to a top university does not come as a miracle, but through hard work, determination, and knowing the nuances of the admissions process.

📗 SAT and ACT preparation often begins several years before submitting university applications. It is never too early to start gathering resources and learning tips and tricks for maximizing your chances at admission to the university of your dreams.

📘 As your counselor, I am well-equipped to advise you on test preparation at any point during your journey towards university. You may also request consultation on university applications, including personal essay tips and a timeline tailored to your academic and extracurricular activities and goals. Together, we can determine which path is best for you.

🧮 Learn from an Applied Mathematician (10+ Years of Teaching Experience)

56 £ /h

➕ A strong foundation in Mathematics is essential for developing a critical mind. The value of Mathematics lies not only in its elegance for scientific research and technological developments, but Mathematics also demands a spotlight in unsophisticated, mundane life chores such as splitting the dinner bill, lending to a friend, or checking and double-checking that the government hasn't overtaxed you.

➖ My main academic training is in Mathematics; I received my Bachelors in Applied Mathematics from the University of California San Diego in 2016, and my Masters in Mathematical Engineering from Universitat Politècnica de Catalunya in 2017. Since completing my coursework, I have worked in university research and I am now pursuing a PhD in Tactile Neurophysiology at the University of Gothenburg.

✖️ I have 10+ years of experience in Mathematics tutoring ranging from primary school to university level subjects. I am comfortable with developing a curriculum tailored to your needs or following one that you or your course proposes. In the past, I have assisted students of all levels in: Calculus, SAT Prep, Algebra, Arithmetic, Statistics, MATLAB, and Trigonometry. These topics are not exclusive to my repertoire.

➗ I hold firmly that a student must bring motivation and that a teacher foster this with direction, challenges, and encouragement. The process of learning is a two-way street. Ultimately, your goal is to be an independent learner, and I will help you to become one.

Robert

4.74

(27)

A highly experienced Franco-Belgian teacher (ook in het nederlands!) offers private lessons in mathematics (including finance), probability and statistics, as well as physics, chemistry, and biology for secondary and higher education levels. For physics, chemistry, and biology, the instruction is tailored to the secondary level, specifically up to the 5th year of secondary education in Belgium.

Whether you prefer lessons at your place, my place, or remotely, I am flexible to accommodate your needs. If necessary, I can travel to your home in Brussels, Walloon and Flemish Brabant, with a minimum duration of 2 hours per session. The lessons are designed to provide extensive practice with numerous exercises. Distance learning options are also available through platforms such as Skype, Facebook, etc. Please note that for students in France, only distance learning courses are provided.

In mathematics, I specialize in various topics and frequently provide lessons covering the entire secondary school curriculum, including math 6 and higher. These topics encompass factorization, equations of the 1st and 2nd degree (with in-depth study of parabolas), limits, derivatives, integrals, exponentials and logarithms, as well as trigonometry. Additionally, I am occasionally called upon to teach analytical geometry in space, including equations of lines and planes.

For statistics and probabilities, I provide instruction in descriptive and inferential statistics (univariate and bivariate), covering confidence intervals and hypothesis tests, applicable to secondary and higher education levels.

Feel free to reach out to me to discuss and arrange the lessons based on your specific needs and availability. My aim is to help you enhance your skills effectively and provide personalized instruction. By tailoring the lessons to your requirements, we can ensure rapid progress in your studies.

Salah

4.74

(27)

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.

Madara

4.74

(27)

I am a Doctor of Psychology (PhD) and researcher with extensive experience in teaching and mentoring. Since October 2016, I have successfully tutored undergraduate, postgraduate, and Ph.D. students, as well as professionals, in areas including Psychology (AS, A-level (AQA or other exam boards), and degree level), Statistics, Data Analysis, SPSS, Jamovi, JASP, R/RStudio, Research Methods, and in support of research projects, theses, and dissertations.

I specialise in Clinical Psychology, particularly reading disabilities and dyslexia, though I also have strong knowledge across other areas of psychology, research methodology, and data analysis, with expertise in SPSS.

I offer individual, live, one-to-one online sessions via Zoom, tailored to your learning goals. I can also recommend relevant literature and provide resources from my own curated database to support your studies and research.

Amin

4.74

(27)

Are you a university student, engineer, or professional who needs to actually use data — not just learn theory about it?
This course is built around real problems and real code. We skip the textbook formulas and go straight to applying statistics and data science the way professionals do: with Python (pandas, NumPy, scikit-learn, matplotlib) and R (RStudio).
What we cover, adapted to your level and goals:
- Descriptive and inferential statistics (the ones that actually matter)
- Data cleaning, exploration, and visualization
- Regression, classification, and intro to machine learning
- Time series and forecasting basics
- R for statistical analysis and academic research

Who this is for:
- University students in statistics, economics, engineering, or biology
- Professionals wanting to move into data analysis or data science
- Researchers who need to process and present data properly

I use Python and R professionally as a working engineer — everything I teach comes from real application, not just academic exercises.

Bibek

4.74

(27)

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).

Baia

4.74

(27)

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.

Roland

4.74

(27)

Math, calculus and physics can sometimes be overwhelming, especially when the theory or solving method is unclear. I am a cum laude Aerospace Engineering graduate from TU Delft and have helped other pupils with their problems since 2017. With my calm and stepwise explanation, a second alternative view of the solution procedure is given, which is often what is missing. I tutor a variety of math and physics courses on both secondary and high school levels, but also at a scientific bachelor level. These can either be theory/exercise-based, but also exam preparation.

Medo

4.74

(27)

With over 12 years of experience teaching mathematics

in high school, I offer math support lessons.

Class description: As a highly qualified mathematics teacher, graduated from the teachers' college and with 11 years of teaching in public high schools, I offer tutoring courses in mathematics at home.

My courses are aimed at students in the 2nd and 1st general classes, Terminale specialty of the French system, as well as for the 5th, 4th and 3rd levels of the college. T and Common Core Sciences, Technological TC, 1st Bac Experimental Sciences, final year of all sectors (SVT-PC-SC.Math-L),

My primary objective is to help students improve their level, deepen their knowledge, fill their gaps and improve in the discipline of mathematics. I also offer support in the preparation of exams and competitions for access to major schools, as well as homework help for overall success in the subject.

With my advanced math skills, I am committed to providing effective tools and techniques to help my students progress. My interactive, student-centered teaching approach allows for a deeper understanding of mathematical concepts and practical application of acquired knowledge.

By choosing my mathematics tutoring courses, students can expect individual attention and personalized help to overcome their difficulties and achieve their goals. I am confident in my skills to help students of all levels progress and succeed in this demanding subject.

My dynamic and stimulating teaching methods aim to help students acquire self-confidence that will follow them throughout their lives.

Brent

4.74

(27)

Are you drowning in countless formulas? Is your head starting to explode with equations and graphs? Don't panic! Math doesn't have to be a stumbling block. With the right explanation and a calm approach, it often becomes much clearer. Together, we'll tackle it step by step, at your pace.

For whom?
- Students from primary and secondary education
- Children and young people preparing for exams or tests
- Anyone who wants to give mathematics a second chance, including adults

What can you expect?
- I explain the often complicated mathematical language in clear, human language
- Focus on insight, not just learning tricks and formulas by heart
- Exercises that we tackle together
- Space for questions, repetition and building self-confidence
I can also prepare exercises and even complete practice exams myself.

About me
I'm currently pursuing my Master's degree in Data Science/Analytics at the University of Antwerp. In high school, I had seven hours of math a week and always passed my exams with high marks. I've been happily tutoring students of various levels for several years now. I'm analytical, but also calm, patient, and good at sensing exactly where things are going wrong.

Practical:
- 1-on-1 lessons, online, at my place or at yours (if you don't live too far away)
- We will go through your material together or I will provide my own material
- Your own pace and approach, completely tailored to you

I have already successfully guided students with:
- Mathematics in secondary education: from the 1st to the 6th year, for various fields of study and schools, including Latin at Sint-Michielscollege Brasschaat, Economics-Mathematics at KA Schoten, and Humanities at Annuntia.
- Arithmetic in primary education: pupils in the 4th, 5th, and 6th grades, including mental arithmetic, written calculation, and other arithmetic skills.
- Mathematics in the Electromechanics program at AP University of Applied Sciences.

Feel free to send me a message with your questions or concerns, and we'll discuss how I can best support you.

Reza

4.74

(27)

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! :)

Nazir

4.74

(27)

Having coached 100+ students from more than 10 universities worldwide, I have developed a strong understanding of the homework expectations, assessment methods, and exam styles commonly used in university-level mathematics courses.

One of the biggest challenges students face in university calculus is the transition from high school mathematics. Differences in curriculum, notation, problem-solving approaches, and calculator usage can create significant knowledge gaps that make it difficult to keep up with the course material.

I help students identify and close these gaps by strengthening the underlying mathematical foundations and developing the skills required for success in higher education. Whether you are struggling with prerequisites, falling behind in lectures, or aiming for top grades, lessons are tailored to your specific needs and course requirements.

I provide comprehensive support in Calculus I, II, and III, including:

- Limits and continuity
- Differentiation and applications of derivatives
- Integration techniques and applications
- Sequences and series
- Multivariable calculus
- Partial derivatives and multiple integrals
- Vector calculus and related topics

I can help you understand assignments and prepare for exams, build the confidence and understanding needed to excel throughout your university studies.

Raouf

4.74

(27)

Master the mathematics curriculum and approach your final exams with absolute confidence.

The first year of secondary school is a crucial step towards obtaining your diploma and preparing for higher education. This tailored online course is designed to guide you step by step towards excellence, whether you are in Classical Secondary Education (ESC) or General Secondary Education (ESG).

What we will cover:

In-depth analysis: Study of functions, differential and integral calculus, numerical sequences (notions of limits and asymptotic behavior).

Algebra and Geometry: Complex numbers, geometry in space, systems of equations.

Probability and Statistics: Combinatorics, probability laws, and conditioning.

My methodology:
As a university professor and mathematician, my teaching approach goes beyond simply applying formulas. I emphasize a deep understanding of concepts and rigorous reasoning.

Initial assessment: Identifying your weaknesses and strengths.

Clear and structured explanations: Simplification of abstract concepts through concrete examples.

Intensive training: Solving typical exercises and past papers from the Luxembourg final exam.

Preparation for higher education: Introduction to the working methods required to succeed at university (engineering schools, preparatory classes, faculties of science or economics).

Who should attend ?
For final year (1st year) students in Luxembourg who wish to consolidate their foundations, significantly increase their average, or aim for excellence to enter selective programs.

Format:
Interactive online course with screen sharing, clear visual support, and review materials provided after each session.

Fisnik

4.74

(27)

Do you have a statistics or probability exam in BA1/BA2? I can help you review the material in a clear, structured and exam-oriented way.

I support higher education students (university and college), particularly in their first and second years of undergraduate studies, to understand important concepts, redo practical exercises, and practice with exam-style questions.

My goal is simple: to help you understand the logic behind formulas, know when to use them, recognize correct reasoning in a statement, and gain autonomy when facing exercises.

Subjects covered according to your program:

• Descriptive statistics:
mean, median, variance, standard deviation, quartiles, quantiles, coefficient of variation, box plots, histograms, graphs, interpretation of tables and data.

• Univariate and bivariate statistics:
analysis of one variable, analysis of two variables, scatter plots, covariance, correlation, regression line, coefficient of determination, interpretation of relationships between variables.

• Probabilities:
events, union, intersection, complement, conditional probabilities, independence, Bayes' theorem, probability trees, contingency tables.

• Combinatorial probabilities:
permutations, arrangements, combinations, draws with or without replacement, counting, classic exam situations.

• Random variables:
discrete and continuous variables, probability function, density function, distribution function, expectation, variance, standard deviation, variable transformation.

• Probability laws:
Bernoulli distribution, binomial distribution, normal distribution, standard normal distribution, Student's t-distribution, chi-square distribution, use of statistical tables according to your course.

• Statistical inference:
sampling, estimators, point estimation, confidence intervals, margin of error, degrees of freedom, confidence level.

• Hypothesis testing:
null hypothesis H0, alternative hypothesis H1, significance threshold, p-value, one-tailed or two-tailed test, test on a mean, test on a proportion, chi-square test, interpretation of results.

• Exam preparation:
reading statements, choosing the right method, identifying the formulas to use, typical exercises, past exams, guided corrections and problem-solving methods.

Method of working :

1. We quickly identify the chapters that are causing problems;
2. I re-explain the theory with simple examples;
3. We redo the important exercises together;
4. I will show you how to recognize good reasoning in the exam;
5. We construct a clear method that can be reused independently.

I don't just provide a correction: I explain the reasoning step by step so that you are able to redo the exercises without help.

For students retaking the exam, I also offer more intensive support: level assessment, priority identification, review of fundamentals, and practice with typical exercises and past exams. The goal is to get straight to the point and work efficiently within the time available before the exam.

I have been giving private lessons for over 7 years in mathematics, statistics, economics, and accounting. I have also tutored first and second-year Bachelor's students at Solvay/ULB in mathematics, statistics, and microeconomics as part of a university tutoring program.

My professional experience in finance and business controlling at Deloitte has also allowed me to develop a very structured approach to numbers, analysis and problem-solving.

Courses available in French or English, online or in person in Brussels or the surrounding area.

Laroussi

4.74

(27)

Fundamental mathematics: Differential and integral calculus, linear algebra, geometry, trigonometry and analysis.

Probability and statistics: Random variables, probability distributions, descriptive statistics and Bayes' theorem.

Methodology and approach:

Step-by-step explanations of abstract theoretical concepts.

Targeted preparation for midterms and university exams.

Interactive video conferencing tools (screen sharing, live annotations)

Tadeáš

4.74

(27)

Online Mathematics Tutoring in English

I offer individual online mathematics lessons for students of different ages and ability levels. I have several years of teaching experience and I focus on making mathematics clear, logical and understandable ("connect the dots") rather than simply teaching students formulas by heart.

I can help students with school mathematics, homework, exam preparation and more advanced topics. I also work with students studying in English and can provide lessons entirely in English.

I can help with:

School mathematics
GCSE Mathematics
IB Mathematics
Exam preparation
Calculus
Entrance examinations
Homework and revision
Algebra, geometry, functions, equations, percentages, statistics and other mathematical topics

My lessons are adapted to the student's current level and individual goals. I explain difficult concepts step by step and use practical examples to make sure the student understands not only how to solve a problem, but also why the solution works.

Lessons are conducted 100% online in English.