AP Calculus AB/BC: Complete Exam Preparation with Conceptual Mastery

From 13 £ /h

This class is designed for high school students preparing for the AP Calculus AB or BC exams, as well as anyone seeking a rigorous foundation in single‐variable calculus. Whether you are aiming for a top score or simply want to understand calculus deeply, this course covers all required topics: limits, derivatives, integrals, the Fundamental Theorem of Calculus, and—for BC—additional topics such as sequences, series, parametric equations, polar coordinates, and vector‐valued functions.

My teaching approach emphasises conceptual understanding over rote memorisation. We will explore why calculus works, not just how to compute. You will learn to solve problems with confidence, interpret graphs, and connect ideas across the curriculum. Each session is tailored to your pace and goals, with plenty of practice problems and exam‐style questions.

With over 10 years of teaching experience across multiple curricula (AP, IB, A‐Level, CBSE, ICSE) and advanced mathematical training at IISc Bengaluru and the University of Surrey, I can help you master calculus and develop the analytical skills needed for success in higher mathematics.

We will cover:

Limits and continuity

Differentiation (rules, applications, related rates, optimisation)

Integration (techniques, applications, areas and volumes)

Differential equations

For BC: sequences and series, parametric, polar, and vector functions

Exam strategies and time management

Extra information

Previous materials from high school mathematics

Location

Online from Czech Republic

About Me

I specialize in teaching mathematics from advanced school level to university level, with a particular focus on bridging the gap between computational and proof‐based mathematics. My own background—advanced studies and research at the Indian Institute of Science (IISc), Bengaluru, research in theoretical physics at Charles University, Prague, and an MSc in Physics and Mathematics from the University of Surrey, London—allows me to help students not only solve problems but also understand the underlying mathematical ideas and develop rigorous analytical thinking.

My teaching approach emphasizes conceptual understanding, logical reasoning, and structured problem‐solving. Whether a student is preparing for school examinations, university coursework, competitive entrance examinations, or higher studies in mathematics, I adapt my teaching to their individual goals and learning style. I am particularly passionate about helping students transition from computational mathematics to proof‐based mathematics, where they learn how mathematicians think, construct arguments, and understand abstract concepts with confidence.

Education

Advanced Studies and Research in Mathematics
Indian Institute of Science (IISc), Bengaluru, India
Focus: Geometric Analysis, PDEs, Regularity Theory

Research in Theoretical Physics
Charles University (Univerzita Karlova), Prague, Czech Republic
Completed research in theoretical physics

MSc in Physics and Mathematics
University of Surrey, London, United Kingdom

Experience / Qualifications

10+ years of teaching experience globally, working with students from a variety of educational systems including A‐Level, IGCSE, IB, AP, CBSE, ICSE, and undergraduate mathematics programs.

Areas of expertise:

High‐School Mathematics

Pre‐college level Mathematics, all topics

Calculus (Single Variable and Multivariable, AP‐Calc‐AB/BC, Pre‐Calc)

Linear Algebra

Real Analysis

Differential Equations (ODE/PDE)

Mathematical Methods for Physics and Engineering

Differential Geometry (introductory and advanced topics / smooth manifolds / Riemannian Geometry)

Foundations of Partial Differential Equations

Proof Writing and Mathematical Reasoning

Skilled at adapting teaching to individual goals, whether for school examinations, university coursework, competitive entrance exams, or higher studies in mathematics.

Age

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

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

Mathematics Tutor for All Levels: High School to University (Proof-Based & Applied)

16 £ /h

My name is Sarbajit, and I have dedicated my academic and professional life to mathematics and its teaching. I have over a decade of experience teaching students from diverse educational systems—including IGCSE, CBSE, ICSE, State Board, AP, and undergraduate university programs—both in India and the UK.

I hold an MSc in Physics and Mathematics from the University of Surrey, UK, and I have pursued advanced mathematical studies and research at the Indian Institute of Science (IISc), Bengaluru. Currently, I am engaged in advanced mathematical research at IISc, focusing on geometric analysis, partial differential equations, and regularity theory. My own journey from computational to proof-based mathematics has given me a deep appreciation for the beauty of rigorous reasoning, and I love sharing that with my students.

I teach mathematics at all levels, from school to university, with a special emphasis on conceptual understanding and proof writing. My areas of expertise include:

High School Mathematics (all topics, including algebra, geometry, trigonometry, and pre‐calculus)

Calculus (Single Variable, Multivariable, AP Calculus AB/BC, Pre‐Calculus)

Linear Algebra

Real Analysis

Differential Equations (ODE and introductory PDE)

Mathematical Methods for Physics and Engineering

Differential Geometry (introductory to advanced, including smooth manifolds and Riemannian geometry)

Proof Writing and Mathematical Reasoning

I have been teaching online for several years with a full digital setup—including a pen tablet and webcam—to ensure a smooth, interactive experience. I believe every student can learn to think like a mathematician, and I adapt my teaching to your individual goals, whether you are preparing for exams, transitioning to university‐level mathematics, or simply seeking to understand the beauty of the subject.

Mathematics gives me immense joy, and I want to share that joy with you. Let’s explore the hidden structures and elegant logic of mathematics together.

Dr.

5.0

(15)

I am Dr. Iyer- a tutor with over 18 years of teaching experience as of 2023 and several hundreds of students from all parts of the globe. I teach one-on-one online over Zoom/ Skype/ Google Meet/ Teams using a pen tablet and the screen-share feature.

Depending on and tailored to the learning style of the student (visual, kinesthetic/ tactile, etc.) my teaching adopts a great deal of "Visual" or "Learn by Doing" methodology that leverages the power of web-based interactive tools so as to build a solid foundational understanding.

I have helped several students to do remarkably well in areas like Algebra, Geometry, Trigonometry, Precalculus, Calculus, Statistics.

I have experience with various syllabi and therefore, a good sense of what is emphasized by each of them. These include:
IB Diploma,
Cambridge AS and A levels,
Cambridge IGCSE,
AP Calculus,
Saxon Math
ICSE, CBSE

I also prepare students for competitive tests like the ACT, SAT, GRE, GMAT, Oxford MAT, TMUA, STEP, etc.

More than anything, I trust that if I can replace the "fear" of a subject with "love" for it, then I would have truly made a difference to the student.

Asdrúbal

5.0

(15)

Seven years of experience in the mission of providing academic support to students in ESO or Bachillerato (Science or Social Sciences), university students in the first year and students of the IGCSE, Alevel and IB programs (Ed Excel or Cambridge),
In addition to the classes themselves, I offer permanent online support for students' queries via WhatsApp (especially important during study periods prior to exams), guidance in the use of technological tools (programs, videos or web pages) that can contribute to improving the student's training in Mathematics. We educate to train the student in Mathematics.
University courses I have recently supported include Business Mathematics for students at IE Business School, Rey Juan Carlos University, European University of Madrid, CUNEF, and Carlos III University. I also provide support for programs in Probability and Statistics, Financial Mathematics, and Mathematical Programming (experience with students from the School of Economics at the Autonomous University of Madrid). My hourly rate decreases as the session length increases. The most cost-effective rate is for a two-hour session.

Bibek

5.0

(15)

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).

Medo

5.0

(15)

As a highly qualified maths teacher, a graduate of the college of teachers and with 11 years of teaching experience in public high schools, I am happy to offer tutoring lessons in mathematics at home for students from level T and Common Core Sciences, TC Technological, 1st Baccalaureate Experimental Sciences and final of all the sectors (SVT-PC-SC.Math-L), as well as for the classes of 2nd and 1st general, Terminale specialty of the French system, as well than the 5th, 4th and 3rd levels of college.

My primary objective is to help students improve their level, deepen their knowledge, assimilate their lessons, fill their gaps and improve their skills in the discipline of mathematics. In addition, I am perfectly able to support them in the preparation of their exams and competitions for access to the Grandes Ecoles, and to provide them with homework help so that they can succeed in this subject.

With my advanced math skills and knowledge, I am confident that I can provide my students with effective tools and techniques to help them progress. My goal is to give them confidence and help them develop a passion for mathematics, a subject that can seem daunting at first, but can be exciting and rewarding if taught in an interesting and fun way.

By choosing my tutoring courses in mathematics, students can expect to receive individual attention and personalized help to overcome their difficulties and achieve their goals. My teaching approach is interactive and student-centered, which allows for a deeper understanding of mathematical concepts and a more practical application of acquired knowledge.

In summary, I am confident in my skills as a math teacher to help students of all levels progress and succeed in this demanding subject. I am convinced that my dynamic and stimulating teaching methods will help my students achieve their math goals and build a confidence that will follow them throughout their lives.

Aliaksandr

5.0

(15)

Struggling with University Calculus or getting lost in SAT / IB / A-Level Math past papers? I am here to help you master complex mathematics without the panic and academic boredom.

With 6 years of intensive tutoring experience, I specialize in:
• University Math: Calculus (integrals, derivatives, limits), Linear Algebra, Matrices, and exam preparation.
• International Exams: SAT Math, IB Diploma Program, and A-Level.

My method is strictly practical. We don't just read textbooks or memorize useless rules. I break down complicated concepts into clear, repeatable strategies. I will show you exact step-by-step schemes to solve exam traps and university problem sets. My goal is to make math logical and straightforward for you.

Baia

5.0

(15)

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

5.0

(15)

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.

Yosra

5.0

(15)

I am passionate about teaching. My academic background includes a degree in physics with a specialization in mathematics. I master the fundamental concepts of this discipline.

When contacting me, please send me the grade level and the chapters included according to your country because I like to prepare my course carefully and choose the appropriate exercises.

Thank you for your trust !

سيف

5.0

(15)

Are you struggling with math? Do you want to improve your grades and boost your confidence? My personalized math lessons are designed just for you! With over 8 years of experience teaching math, I help students of all levels, whether you're a beginner or working on advanced topics.

In these lessons, you will receive individual attention that will help you:

- Mastering basic concepts such as algebra, geometry, calculus, etc.
- Breaking down complex issues into easy-to-understand steps
- Develop critical thinking and problem-solving skills
- Preparing for exams and improving test-taking strategies

I tailor each lesson to your learning style and individual needs. Whether you're looking to ace an upcoming test or strengthen your overall understanding of mathematics, these sessions will help you build confidence and achieve better results.

I also offer bilingual lessons in English, Arabic, and French, ensuring you learn in the language you feel most comfortable with. Let's work together to reach your full potential!

Aafaq

5.0

(15)

I offer personalized tutoring with experience of 7 years in algebra, geometry, calculus, ,GCSC IGCSC (math)and statistics to help you understand and excel. I focus on breaking down complex concepts into manageable steps, using visual aids and real-life examples. With a patient and supportive approach, I help students build confidence and achieve their academic goals. Book a class today and start mastering math!

Otar

5.0

(15)

Hello, I’m Oto. I offer mathematics lessons for high school and university students, from strengthening fundamentals to working with advanced topics and challenging problems. I also provide SAT Math preparation and help university students prepare for advanced mathematics coursework, including Calculus, Linear Algebra, Differential Equations, etc.
I believe math should make sense, so my lessons focus on clear explanations, logical structure, and active problem solving. I adapt my teaching to each student’s level and pace, aiming to build confidence and independent thinking rather than reliance on memorized formulas.
For students preparing for the SAT, lessons combine mathematical understanding with practical exam strategy, focusing on accuracy, efficiency, and time management. For university students, I can help break down difficult concepts, work through problem sets, and prepare systematically for exams.

Reza

5.0

(15)

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! :)

Intasar

5.0

(15)

I have graduated with a degree in chemical engineering from the University of Edinburgh, UK. I am also an Erasmus Mundus scholar with a master's in Analytical Chemistry from Uppsala University. Currently, I am pursuing a PhD in physical chemistry.

I have been tutoring since 2012 to fund my education expenses. I formally began tutoring in 2014 as part of my vocational training as a teacher in Ghana, funded by the University of Edinburgh. The formal training has taught me a lot about curriculum development, time management, and fusing my teaching methodology to my students’ needs. I have been tutoring in Physics, Chemistry, and Math, in person and online; the hybrid model has allowed me to reach out and teach students in 8 different countries. I have successful students from these past nine years who have not only commended my work ethic but can also stand testament to my enthusiasm.

My excellent academic career has nurtured in me a natural talent for teaching. My experiences have taught me how to tackle one problem at a time, and I believe that using this approach—paired with my unconventional examples that force students to think outside the box—I can truly provide an excellent understanding and explanation. My teaching methodology is based on two main things: skill development and adaptation. Initially, I create a skeleton of the most suitable methodology tailored to the preferred curriculum, after which, I adapt that lecture to the specific needs of the student based on their knowledge and grasp of the concepts. Second, I like to develop analytical and scientific ability along with knowledge in my students, and for that, I use a combination of resources in the form of worksheets, class tasks, and past papers. Last, I believe in the strong ethic of providing feedback to the parents, so that they are aware of their child’s progress.

Frequently Asked Questions:
Which subject(s) do you teach?
I teach math, mechanics, statistics, chemistry and physics. I also teach biology up to GCSE level.

When are you available? My timetable is quite flexible. I am happy to work weekdays, week evening and weekends.

Which ages and levels do you teach? The majority of my students are between the ages of 10-18, but I also teach college Students. I am also helping foundation and first year university students.

Which qualifications do you prepare your students for? GCSE, IGCSE, A/S-level, A-level, IB, School entrance exams and SATs

Describe your arrangements for online tutoring? I use Zoom online sessions since it has many tools and features specially designed for interactive and visual learning. I am fully equipped with modern gadgets for e-learning. I use Google drive and docs to share files.

Verónica

5.0

(15)

Primary school teacher specializing in supporting students in learning mathematics. I offer classes tailored to each level to reinforce calculation, problem-solving, logical reasoning, and the understanding of mathematical concepts. I use clear explanations, practical examples, and motivating activities that help students gain confidence and independence in the subject.

Tadeáš

5.0

(15)

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.