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

🛑 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 via webcam
At teacher's location: Doktor Belfrages Gata, Gothenburg, Sweden

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General info

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

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)

Reviews (1)

Excellent session with VIctoria
🦠 Learn science with a Medical Researcher! I have performed research encompassing a variety of Biology disciplines and I am equipped to teach general biology for students. The key to scientific learning is consistency. I offer regular lessons that facilitate habits of discipline and intellectual curiosity. We may delve into peripheral topics as well, such as the ethics behind experimentation. In addition to general topics, my knowledge is current on the following exams: 🧪 AP Biology 🌱 AP Environmental Science 🧠 AP Psychology
➕ 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.
✈️ Dreaming of moving to New York? London? Sydney? Improve your English with a Native English speaker from California! Confidence is key when navigating a new environment, so get a head start by getting comfortable with day-to-day English. ✨ You polish the outside, and I'll polish the inside. Together, we can buff out any pesky tongue twisters and perfect that pronunciation. L's / R's? Easy. P's / B's? Peasy. V's / W's? Lemon squeezy. We can talk about phonetic mapping and practice tricky combinations with dictation and dialogue. Let's discuss exercises that can burn what you've learned into muscle memory. With me, we'll cut to the chase. Your flight's next month, right? 🗣️ Now that you're sounding smooth, don't be a conversation killer! I have guided people of all ages hailing from Asia, Europe, and South America on colloquialisms and professional speech. Making friends is all about mutual understanding. Step off on the right foot by taking charge of your English. You set the goals, I'll help you get there.
📕 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.

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from C$106.32Online via webcam

Good-fit Instructor Guarantee


If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.

Online reputation

  • Instructor since October 2020
  • Phone number verified
  • Linkedin connected

Availability of a typical week

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from C$106.32At teacher's location
from C$106.32Online via webcam

Good-fit Instructor Guarantee


If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.

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Sanne
Mathematics tutoring (A, B, C) for vmbo, havo and vwo / tutoring in mathematics (A, B, C) for middle and high school students
*ENGLISH BELOW* Hello! My name is Sanne (23) and as a master student in Molecular Life Sciences I have a great passion for biochemistry. I have several years of experience and have helped more than 20 students with various science subjects. I offer tutoring for the subject mathematics (mathematics A, B and C). Whether you need help with a specific chapter, or want to follow a broader exam training. During the tutoring we will mainly work together on assignments and I will support you in the thinking process. In addition to the lessons, it is of course also the intention that you work independently. You need a calculator yourself. Tutoring in pairs or small groups (for example with classmates) is possible at a lower rate per person – please contact us for more information! *ENGLISH* My name is Sanne (23), and I'm a Master's student in Molecular Life Sciences with a strong passion for biochemistry. I have several years of tutoring experience and have helped over 20 students with various science subjects. I currently offer tutoring sessions in mathematics (A, B, and C) – whether you need help with a specific chapter or are looking for broader exam preparation. During our sessions, we'll work through exercises together, and I'll guide you through the thought process step by step. Between sessions, it's important for you to work independently on homework assignments too. You'll need your own calculator. Tutoring in pairs or small groups (eg with a classmate) is possible at a reduced rate per person – feel free to get in touch for more details!

Bibek
Calculus and Linear Algebra (High School and University Level)
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).

Robert
Math / Stat / Proba, Physics / Chemistry, and Bio, At Your Place, At My Place, or Remotely
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.

Arianit
Mathematics (Applied Math, Calculus, Linear Algebra, Geometry, IBM Exams, Entrance Exams): Primary/High School/Bachelor/Master Students
Mathematics is all about learning basic elements with which you can create explosions, interactions and much more desired computations. It is the heart of every science known and without it, even the text that I am writing right now would not work (recall binary numbers). I have always been passionate about Math and during primary and high school I attended many Regional Math Olympiads where I usually won the top 5 places. During this period, I got the chance to be trained by university professors and gained knowledge of many complex math concepts at a really young age. This made it possible for me to afterward be able to explain these concepts in a brief and clear manner to my fellow students. I aspire to visualize everything with everyday life and when students see this connection, the puzzle is finally solved. We can cover all of the branches of mathematics together at the desired level and degree level. Starting from Algebra, Geometry, Calculus, Probability, Trigonometry and much more, we will build that mathematic intuition in no time!

Baia
Expert Math Tutor | School & University Level | Exam Prep & Confidence Boosting
Are you a school or university student struggling with math or aiming to improve your skills? I’m here to guide you! With my personalized approach, I simplify complex concepts and help you master topics such as: ✔️ Algebra, Geometry, Calculus, and Statistics ✔️ University-level courses: Analysis, Abstract Algebra, Differential Equations ✔️ Exam preparation: SAT, OMPT-A, VWO Math A & B, and university entrance exams (ETH Zurich, University of Zurich, etc.) What You Get with My Lessons: ✅ Tailored Learning: Every student is unique—I adapt my teaching to your needs. ✅ Exam Success: Focused training to help you pass and excel. ✅ Online Convenience: Learn from anywhere via Google Meet. ✅ Multilingual Support: While I teach in English, I can clarify concepts in French or German if needed. 🚀 Book your lesson today and take the first step toward math confidence!

Medo
More than 13 years of teaching mathematics in high school. I offer high school and higher math support courses.
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.

Pia
University Mathematics (Algebra, Calculus, Analysis, Number Theory, Linear Algebra,...)
You are a university student and have trouble with your math courses? Don't fret, I'm here to help! It doesn't matter whether you are a math student or from a different major, whether you are from an applied background or struggle with pure maths - the lessons will only cover what you need. Mathematics has a lot to do with practice and getting familiar with the way of thinking logically. With my help and guidance, I am sure you will become confident in solving problems and understanding mathematical concepts. The lessons will be tailored to your needs and their structure depends highly on you: usually it is a mixture of repeating the content, solving exercises together, summarising important concepts and talking about exercises you tried yourself at home. The topics, content, pace and methods of learning will be adjusted to your needs, ensuring that you get the most out of my lessons. Besides the lessons, you will get "homework" to work on to strengthen your skills and independent working. Topics include, but are not limited to: -Linear Algebra -Calculus -Trigonometry -Geometry -Set Theory and Metrics -Analysis -Algebra -Numerical Analysis -Number Theory -Probability -Logic and Proofs -Galois Theory If you have another topic in mind that you really need help with, just send me a message! Whether you need someone that explains the concepts to you or just someone to practice exercises with - I am sure I can help you. You have an exam soon and want to review the main topics? No problem! You have a very specific problem, question or topic that you need help with? I'm here to answer any questions! The most important part of my lessons is, however, to ensure a safe and comfortable environment - I have no issue with explaining the same concept over and over again until I am convinced that you have understood it. It is important to me that you feel comfortable in asking any questions - I want to show you, that Math is more than a subject and that it can be fun!

Ashar
STATISTICS ,DATA ANALYTICS, AND BUSINESS ANALYTICS
Statistics is a mathematical science that includes methods of collecting, organizing, and analyzing data so that meaningful conclusions can be drawn from them. In general, its investigations and analyses fall into two broad categories called descriptive and inferential statistics. In this course, you will be provided information about the basics of the statistical concepts so that you will get good grades in you exams. we will learn statistics through different languages and different statistical tools like (SAS, STATA, Rstudio, MATLAB, MINITAB, SPSS ETC. We will learn how we can apply the statistical tool for applying in our daily life.

Madara
Doctor of Psychology based in London, UK, offering Psychology, Statistics, Data analysis and SPSS classes online
I am a Doctor of Psychology and researcher. Since October 2016 I have been successfully tutoring many B.A. and M.A. and Ph.D. level students and professionals who required help with Psychology (AS, A-level, and Degree level), Data analysis, SPSS, jamovi, JASP, R, Statistics, Research Methods, or were looking for assistance with their research projects/ theses/ dissertations. I am specialised in Clinical Psychology (reading disability/ dyslexia), although I have good knowledge in other fields of psychology, as well as research methodology and data analysis (expert in SPSS). I would love to help students with the knowledge I have in individual live one-to-one sessions online via Skype/Zoom. I can also recommend literature on a particular subject and send something I already have in my database.

Natalia
Mathematics, Statistics and English Tutoring at Various Levels
With over 12 years of experience in tutoring Maths and English at different levels, my primary objective is to ensure that you not only grasp the material but also find it enjoyable and understand its practical applications. To achieve this, I will assign homework after each lesson to reinforce your learning and offer progress reports to track your development. Additionally, I am committed to dedicating extra time to help you overcome any challenges you may encounter.

Eng. Mohamed
Math, The best teacher for Summer courses for math Difficult learning, SAT, ACT, D.SAT, Est, O.L, IGCSE, British, Edexcel, Cambridge.
اسال ع كورس الصيف المميز ...خبره اكثر من 10 سنوات مدرس سات اكثر من 10طلبه حققوا اسكور 800 بفضل الله في الماث فقط واكثر من 35 طالب حققوا سكور فوق ال 700 ماث واقل طلبه بتحقق معانا 600 الحمد الله في الماث بنشرح المنهج تفصيليا درس درس وبنطبق علي كل درس غير الواجبات اللي بتتصحح كل حصه بنحل امتحانات الريل كلها وامتحانات جديده اول مره تشوفها وبنحل مسائل صعبه وبيبقي عليها جوائز كمان هنشتغل في الرحاب ومدينه نصر والمهندسين واكتوبر والمعادي وكمان هيبقي فيه كورس اونلاين ...لو انت بعيد عن القاهره او خارج مصر في الصيف ومش عايز تضيع وقت او مش هتقدر تيجي سنتر لاي سبب بعد كل ده ...لو عايز تعرف هنبتدي امتي والاماكن بالتفصيل والمواعيد ...لازم تحجز بسرعه عن طريق موقع أبرنتس Math tutor ACT I and ACT II Online , Privet one to one and small groups in home and Centers... Dear parents and Students, Am a Tutor having many years of experience more than 8 years offering Tuition at home and Online for Grade 7 to grade 12 for All American Schools SAT AND ACT . *I use simple method of teaching MATH, like: 1/Giving short Notes for easy understanding. 2/Easy formulas for problem solving. 3/Explain with diagrams &Examples. 4/Give more Practical work. 5/Chapter Wise Teaching 6/Every Chapter Explained Properly 7/Worksheets Provided Chapter wise 8/Weekly Test and Assignments 9/Monthly Report should be Sent to Parents... 10/More attention to Weak students. 11/explain math in simple terms, So u can #understand# the concept . *I am very flexible and can meet with u at any time u prefer and i am available immediately to help u with one to one private and ONLINE. -Apprentus-

Med
Certified Mathematics Teacher with 12 Years of Experience – Support Courses for High School, Middle School and Math SUP Students
A passionate mathematics teacher with solid experience, I offer support lessons focused on mental arithmetic with soroban, the traditional Japanese Abacus. Give your children a unique opportunity to strengthen their mathematical skills, stimulate their concentration and develop their mental agility. Thanks to interactive teaching methods adapted to each student, my lessons aim to make mathematics more captivating and accessible. Invest in your children's mathematical future today by opting for these enriching and fun courses! The soroban, also known as the Japanese Abacus, is an ancient mental arithmetic instrument that embodies the elegance of simplicity. Made up of movable bars and beads, the soroban allows complex arithmetic operations to be performed with remarkable speed and precision. Each bead represents a decimal value, providing a visual and tactile method for performing calculations. Traditionally used in Japan, the soroban is not only a mathematical tool, but also a way to teach concentration, logic and discipline. Its learning promotes the development of mental skills, offering a unique and enriching approach to exploring the fascinating world of mathematics.

Radouan
📊 Master Probability and Statistics with Personal Tutorials! Boost Your Grades and Confidence 🚀
🌟 Become an Expert in Probability, Statistics and Data Science! 🌟 Do you want to master probability, advanced statistics, or learn data science? My private lessons are designed to support you, whether you're a bachelor's or master's student, preparing for the BCE or HEC competitive exams, or simply passionate about data analysis. 🎓 📊 Areas of Expertise** - **Probabilities**: Discrete and continuous laws (binomial, Poisson, normal, exponential, etc.), expectation, variance, **limit theorems** (law of large numbers, central limit theorem), **stochastic processes**, Markov chains. - **Descriptive and inferential statistics**: Data analysis, hypothesis testing (Z-test, t-test, chi-square, ANOVA), confidence intervals, linear and logistic regression. - **Data Science**: Introduction to data analysis tools with **Python**, **R** or **Excel**, statistical modeling, time series, multivariate analysis. - **Preparation for competitive exams**: Methodology adapted for the **mathematics** tests of the **BCE**, **HEC**, **ENS**, or other demanding courses. 🎯 For Whom? - Students in **mathematics**, **economics**, **engineering**, **social sciences** or **biology**. - Students in **preparatory classes** (ECS, ECE, BCPST, MPSI, etc.) aiming for excellence in competitive exams. - Professionals wishing to train in **data analysis**, **applied statistics** or **data science**. - Enthusiasts who want to understand **stochastic processes** or probabilistic models. 💡 My Method - **Tailor-made courses**: Adapted to your level and your objectives, whether to **understand the basics** or to **explore advanced concepts**. - **Practical exercises**: Concrete cases and typical problems to prepare you for exams, competitions or professional projects. - **Educational approach**: Clear and detailed explanations to help you overcome difficulties and gain confidence. 📈 Why Choose Me? - Solid experience in teaching **applied mathematics**, **statistics** and **data science**. - Caring teaching methods adapted to each profile. - Focus on **deep understanding** of concepts and their application in various contexts (competitions, studies, professional projects). 🚀 Objectives - **Pass your exams** or competitions with flying colors. - **Acquire solid skills** in probability, statistics and data science. - **Develop analytical thinking** to solve complex problems. --- **#Probability #Statistics #DataScience #StochasticProcesses #BCECompetitions #HECCompetitions #Python #R #DataAnalysis #Mathematics #PrepClasses #Success #Pedagogy** Ready to take action? Turn your challenges into strengths and become an expert in probability and statistics! 🚀

Eduardo
Math Teacher 2025 - Commitment and Quality - School and University Students
hello! My name is Eduardo, and I'm a dedicated math tutor with over 15 years of experience teaching students from elementary to university. I offer online math classes exclusively in Spanish, designed to help students not only solve problems but also understand the logic and structure of mathematics. 🎯My teaching approach is: ✅ Patient and personalized: each student has their own pace and needs. ✅ Step-by-step and goal-oriented: We build confidence through clarity and practice. ✅ Focused on real progress: I emphasize understanding, not just memorization. Whether your child is struggling with basic math or preparing for advanced exams, I provide the tools and support they need to succeed, always with a kind, respectful, and motivating tone. Feel free to contact me to check availability or to discuss specific goals.🚀

Ali
Step into the World of Math Mastery! Statistics and Algebra & Geometry" or "Advanced Algebra for High School Students."
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!