Mastering Calculus: Fundamental Concepts and Applications

From 67.98 € /h

Calculus is a branch of mathematics that deals with rates of change and motion. It is a fundamental subject for students who wish to pursue further studies in mathematics, science, engineering, economics, and other fields that require advanced quantitative skills. This calculus class is designed to help students develop a deep understanding of the fundamental concepts and techniques of calculus, including limits, derivatives, integrals, and their applications.

Students will learn how to solve problems involving rates of change, optimization, curve sketching, and related rates. The class will also cover topics such as differential equations, Taylor series, and multivariable calculus. By the end of the course, students will have a strong foundation in calculus and be well-prepared for further studies in mathematics and related fields. The class will be taught by an experienced and qualified tutor who will provide individualized instruction and support to each student.

Location

Online from Brazil

About Me

Hi, I'm Rebeca, a highly experienced mathematics tutor with a PhD in Mathematics from the University of Illinois at Chicago, and Master's and Bachelor's degrees in Mathematics from the University of Brasilia. With over 10 years of experience working with students of all levels, I've developed a reputation as an exceptional mathematics tutor who is committed to helping students achieve their academic goals. I

Whether you need help with basic math concepts or advanced topics in calculus and beyond, I have the knowledge, skills, and experience to help you succeed. My patient, personalized approach to teaching ensures that each student receives the individual attention and guidance they need to achieve their full potential in mathematics. So, if you're looking for a dedicated and experienced tutor who can help you master mathematics, look no further than me!

Education

University of Illinois at Chicago - PhD in Algebra
University of Brasilia (Brazil) - bacharel and master degree in Mathematics
Outstanding teaching award - University of Illinois at Chicago - 2019

Experience / Qualifications

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

The class is taught in

English

Portuguese

Skills

Math

Calculus

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

Foundations of High School Math: From Arithmetic to Trigonometry

57.52 € /h

This high school math class is designed to help students develop a strong foundation in mathematics, from basic arithmetic and algebra to advanced geometry and trigonometry. Students will learn key mathematical concepts and techniques, including problem-solving strategies, mathematical reasoning, and mathematical modeling. The class will be taught by an experienced and qualified tutor who will provide individualized instruction and support to each student. The tutor will use a range of teaching methods and materials to engage students and help them master challenging concepts. Topics covered in the class will include operations with real numbers, linear equations and inequalities, functions, quadratic equations, coordinate geometry, trigonometry, and more. By the end of the class, students will have a deep understanding of key mathematical concepts and be well-prepared for further studies in mathematics and related fields. The class will be structured to meet the unique needs and learning styles of each student, with plenty of opportunities for practice, review, and feedback.

Benoit

5.0

(40)

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.

Raef

5.0

(40)

The math, physics, chemistry, and SVT courses of the Swiss maturity program and gymnasium or French programs are done by either in-depth explanations or by a quick course and summary of essential needs according to the case of each student supported by exercises from the book or evaluations and exams from other high schools.
Special program for Matura and Terminales.
As well as for (students in international and European Schools in English, they can have support in Math, Physics, Chemistry and Biology).
For the start of the academic year in Switzerland, support courses for EPSU and ECUS exams.
For the first university year, support courses in Mathematics - Analysis - Matrices - Statistics - Algebra - Geometry - Physics - Mechanics - Electricity - Chemistry - Organic Chemistry - Biology, Geology.
My experience is too long and for years I have learned methods for each case and for each student to fill in their gaps with the best results of Excellent, Very Good, and Good as mentioned by my students.
I can also help students to better prepare for courses and support them to better prepare for the duties of CNED in science subjects.
Guaranteed response within minutes up to 10 hours maximum.

David

5.0

(40)

I am a Math and Physics tutor with over 10 years of experience, backed by an MIT background and training from top technical schools. 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.

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

Bibek

5.0

(40)

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).

Baia

5.0

(40)

Struggling with school math or aiming for exam excellence? In this class, I make complex topics simple, clear, and even enjoyable. From middle school to university level math, I adapt to every student's level and mindset. Whether it's building strong foundations or mastering advanced concepts, you or your child will walk away feeling confident, capable, and ready to shine.

✨ Personalised approach
📚 Clear explanations + real understanding
🏆 Proven results in IB, OMPT, VWO & more

Let’s turn “I don’t get it” into “I’ve got this!”
Book the first session and see the difference.

Rania

5.0

(40)

The SAT exam is one of the major steps you need to go through in your life; it's a step that is going to determine your college, your university, and your future as a whole. As with a lot of things in life, it can be a hard step, and there is no shame in asking for help. Here comes my role: I will help you overcome your problems and your difficulties. My job here is to help you achieve your desired results and unlock your potential. Simply put, we will go through every lesson, every unit, and every chapter. We will understand the concept of each lesson, with clear examples to follow. After each one, you will be tested, and after finishing your program, you will be tested on it. That's my plan for my students, so if you are interested, you can easily contact me.

Dorcas

5.0

(40)

Passionate and dedicated teacher with five years of experience fostering an engaging and inclusive learning environment. I'm committed to promoting student success through personalized instruction, differentiated learning strategies, and active student engagement. Proven track record of implementing innovative teaching methods and achieving measurable improvements in student academic performance.
I offer home tution services for igcse and other curricular.
I tutor learners in both lower and upper grades English, Maths and Science and other subjects if the need be.
Duration per session is an hour and above.

Eugene

5.0

(40)

I am a 2021 IGCSE graduate and a 2023 IB graduate, now studying Veterinary Medicine at the University of Edinburgh. Having recently completed these programmes myself, I understand the challenges students face and how to overcome them effectively.

With 2 years of experience teaching the IGCSE and IB syllabus, I specialize in helping students master subject content, strengthen exam techniques, and build confidence. My lessons are tailored to each learner’s pace and goals, ensuring steady progress and measurable results.

What I offer:
- IB & IGCSE syllabus coverage across core and extended levels
- Exam preparation with past paper practice and detailed feedback
- Structured guidance for Internal Assessments (IA), Extended Essays (EE), and coursework
- Study and time-management strategies designed to reduce stress and boost performance
- A supportive, relatable learning environment from someone who has recently been through the same exams successfully

Chun

5.0

(40)

Math is a nightmare for most of the students, if they do not understand the principle of math. Those who are good at math are usually bad at teaching math. Explore the method to learn math in a more principled and structural way, instead of memorising solution.

Shweta

5.0

(40)

his mathematics class is designed to support and challenge students aged 7 to 17, adapting to their school level, learning pace, and individual goals. Whether a student is building foundational skills, catching up, or aiming to excel, the class provides a structured, engaging, and confidence-building learning environment.

What the Class Will Be Like

1. Personalized Learning: Each student’s current level is assessed first.
Lessons are tailored to match school curriculum requirements and personal strengths or difficulties.
Younger students focus on understanding concepts, while older students work on accuracy, speed, and depth of problem-solving.

2. Concept-First Approach: Emphasis is placed on why mathematics works, not just memorizing formulas.
Concepts are explained using simple language, visuals, real-life examples, and step-by-step reasoning.
Students are encouraged to ask questions freely and think out loud.

3. Age-Appropriate Topics:
Ages 7–10: Number sense, basic arithmetic, fractions, shapes, measurements, and logical thinking through games and activities.
Ages 11–14: Integers, ratios, percentages, algebra basics, geometry, data handling, and word problems.
Ages 15–17: Advanced algebra, equations, functions, trigonometry, coordinate geometry, statistics, and exam-oriented problem solving.

4. Interactive and Engaging Sessions:
Lessons include practice problems, short challenges, quizzes, and guided problem-solving.
Mistakes are treated as learning opportunities to build confidence.
Students are taught multiple methods to solve problems, helping them choose what works best for them.

5. Skill Development Beyond Exams:
Logical reasoning and analytical thinking
Time management and structured problem-solving
Confidence in approaching unfamiliar questions independently

6. Regular Feedback and Progress Tracking:
Continuous feedback is given to students and parents.
Weak areas are revisited until clarity is achieved.
Improvement is tracked over time, not just through marks but through understanding.

Learning Environment: The class atmosphere is supportive, patient, and motivating, ensuring students feel comfortable learning at their own pace while being gently challenged to grow.

Goal of the Class:
To help students not just do mathematics, but understand it, enjoy it, and feel confident using it—both in school and beyond.

Malavika

5.0

(40)

I will,
- go over the necessary material from the recommended textbook or reference book,
- solve questions in class that bolster the understanding of these concepts,
- connect these concepts to real-world use cases and
- provide mentorship to perform well in exams.

Hajira

5.0

(40)

Struggling with numbers? I can help! As a university student in Magdeburg, I offer patient and engaging Math tutoring for school students. I specialize in making complex concepts like fractions, basic algebra, and geometry easy to understand. My goal is to help students build confidence, improve their grades, and actually enjoy solving math problems. Lessons are tailored to each student's school curriculum.

Sandra

5.0

(40)

To encourage and stimulate learning in the subjects taught, as well as their desire to learn more through various tools or techniques that facilitate their understanding.
Encouraging at all times the motivation and desire to continue learning.

Joash

5.0

(40)

This course is designed to help you truly understand mathematics in a structured and practical way. Whether you are struggling with the basics or working toward advanced topics, lessons are tailored to your level and goals.

We focus on building strong foundations in algebra, functions, calculus, and problem-solving strategies. Instead of memorizing steps, you will learn to understand concepts and apply them confidently to exams and real-life problems.

Each lesson is interactive and structured, with step-by-step explanations using a digital whiteboard. The goal is steady progress, deeper understanding, and growing confidence in mathematics.

Kareem

5.0

(40)

Teaching mathematics and physics for GCSE and American programs.

I do 1:1 and group sessions .

working with students to achieve the best out of them.

Depending on students’ goals. Fabricating personalized learning schemes to help attaining desired grades