Mathematics for high school and university: Calculus, Algebra, etc. and exam preparation.

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From 19 C$ /h

I am a mathematician with a degree from UNAM and over 18 years of teaching experience at the high school and university levels. I offer private math tutoring tailored to each student's level and pace.

Subjects I cover:

· Algebra
· Differential and integral calculus
• Analytic Geometry
• Linear Algebra
Trigonometry
• Preparation for entrance and resit exams

My method:
I don't teach memorization of formulas. I work with each student to help them understand the logic behind each concept and solve problems independently. I use visual examples, digital materials, and progressive exercises to ensure solid and lasting learning.

How the classes work:

• Online classes.
• Flexible schedules, adapted to your availability.
• Free initial diagnostic class to assess your level and define a work plan.

If you're looking for support for your current course, preparing for an exam, or simply understanding math once and for all, I can help.

Extra information

The classes are online, via video call. To make the most of the first session, please share with me beforehand the syllabus or topics you are covering in your course, and any exercises or exams you have found difficult.
To connect, you'll need a computer or tablet with a stable internet connection, a notebook, and a pen for taking notes. If your course requires a calculator, have it handy. You can use whichever platform you prefer (Zoom, Google Meet, Teams); I'm flexible.
In the first session we will do a brief diagnosis to identify your areas of opportunity and define a work plan together.

Location

Online from Mexico

About Me

About me: Guillermo, mathematician and teacher

Why do I teach?
I teach mathematics because I believe that the way it's traditionally taught in schools—as a series of formulas to be memorized without understanding—undermines students' confidence. Mathematics is, in reality, a logical and fascinating language. My goal in teaching is to alleviate my students' fear and help them see the logic behind the procedures, so they can stop relying on memorization and start reasoning.

What kind of teacher am I?
I am a patient, structured, and highly analytical teacher. I don't like to give quick answers; I prefer to guide students step by step until they find the solution themselves. I adapt to each person's pace because I know that not everyone processes mathematical abstraction in the same way. I especially enjoy working with students who feel that "math isn't for them" because I know that with the right guidance they can change that perception.

My students and experience
I've been teaching for over 18 years. I'm a mathematician, a graduate of UNAM, and I'm currently finishing a master's degree in Mathematics Education. I've taught high school students (at IEMS) and university students (at the Faculty of Sciences at UNAM). What inspires me most are the students who arrive frustrated because they don't understand a topic, and after a couple of sessions they tell me, "Ah, now I understand!" That transition, from frustration to understanding, is what motivates me to keep teaching.

My teaching methods
My classes are 100% online, which allows for flexible scheduling and the use of digital tools to our advantage. My method is based on three pillars:

1. Initial diagnosis: In the first session we evaluate together which topics you master and which ones you need to reinforce.
2. Understanding memorization: I use visual examples and applied problems to help you understand why a formula works, not just how to use it.
3. Guided practice: We solve exercises together, gradually increasing the difficulty, until you feel confident to solve them on your own.

If you're looking for support for your current course, preparing for an entrance exam, or simply want to understand mathematics once and for all, I'd be happy to guide you through the process.

Education

Bachelor's Degree in Mathematics – National Autonomous University of Mexico (UNAM), 2005.
Master's Degree in Mathematics Education (in progress) – National Polytechnic Institute (IPN), CICATA Legaria. Thesis pending completion.
Recent certifications: Artificial Intelligence and Productivity (Google / Santander Open Academy), Python (Santander Open Academy).

Experience / Qualifications

• Mathematics Professor (Research Tutor/Teacher) | Institute of Higher Secondary Education (IEMS) | 2008 – Present
· Adjunct Professor | Faculty of Sciences, UNAM | 2005 – 2015 (I started as a Teaching Assistant for 3 semesters and then became a Full Professor of the course).
• Independent consulting and creation of educational materials | 2005 – Present

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

Spanish

English

Portuguese

Skills

Math

Science

Tutoring

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

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Why choose our courses?

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

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

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

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

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

Who can benefit from our courses?

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

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

Professionals looking to acquire or deepen technical skills.

Join us today!

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

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

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

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

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

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I completed CPGE (Classes Préparatoires aux Grandes Écoles) in Mathematics and Physics before graduating as a State Engineer — I know these subjects at an advanced level and I know where students typically get lost.
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Hi! Do you love Korean culture, food, music, or dramas? Would you like to learn Korean but don't know where to start? Are you planning a trip to Korea? I'm a Korean teacher with international academic training and several years of experience teaching students of all levels and with diverse goals. I've been teaching online Korean and Spanish classes for over five years. If you're afraid to speak because you feel you don't have a solid foundation or you're intimidated by all the cartoons, I completely understand: I've been there too! I'll help you take your first steps in the language with confidence and without fear of making mistakes. 😊

🎓 About me
- PhD in linguistics applied to language teaching
- Master's degree in International Education and Bilingualism.
- Graduated in East Asian Studies (specializing in Korea).
- Korean language and literature studies at Seoul University.
- Official language teaching qualification.
- Korean family, which allows me to teach you the language along with the real culture and natural expressions.
- More than 2 years living in Korea (university exchange and intensive TOPIK 3–5 language program).

👩‍🏫 Teaching experience
- Language teacher with international experience.
- Years teaching Korean to beginner students and East Asian degree students
- Clear, communicative methodology adapted to your pace.

📚 My classes
✔ Customized according to your objectives (TOPIK, conversation, travel, culture, leisure).
✔ Simple and structured explanations
✔ Material included.
✔ Friendly and motivating environment.
✔ Continuous monitoring and feedback.

💻 Modality
Online or in-person classes.

⭐ Ideal for you if you want:

Start from scratch without stress.
Improve your speaking and real comprehension.
Prepare for TOPIKE I
Understanding Korean culture in addition to the language.

📩 Contact me and we'll design your personalized learning plan. Learning Korean can be fun, effective, and motivating!

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I believe in simplifying complex topics, breaking them down into easy-to-understand segments. This approach helps students grasp and retain challenging concepts with ease. Techniques such as mnemonic devices, visual aids, and real-life examples are integral to my method, ensuring that formulas and concepts are not just memorized, but truly understood.

Regular assessments are conducted to track student progress and identify areas needing improvement. These tests also prepare students for their school exams, ultimately boosting their confidence. I understand the importance of keeping parents informed and involved in their child’s academic journey. That's why I provide weekly reports detailing their child’s progress, strengths, and areas for improvement. This continuous feedback loop ensures that parents are aware of their child’s development and can support their learning at home.

Encouraging words and positive feedback are integral to my teaching method. I strive to build students' self-confidence and to instill a love for learning through positive reinforcement. Setting achievable goals for each student, I celebrate their successes and motivate them to strive for excellence. This goal-setting approach not only drives academic success but also fosters a sense of accomplishment and self-worth.

As a tutor, my satisfaction comes from seeing my students excel and reach their full potential. My ultimate goal is to empower students with the knowledge and skills they need to succeed in Science and Maths. I am always available to support my students, offering additional help and resources as needed to ensure their success.

I foster an open environment where students feel comfortable asking questions, no matter how simple they may seem. This curiosity drives deeper understanding and encourages a proactive approach to learning. By incorporating games, puzzles, and interesting activities, I ensure that learning remains fun and engaging, keeping students excited about the subjects.

Join my Foundation Course in Science and Maths and watch your child develop a strong foundation, confidence, and a genuine love for these essential subjects. Let’s work together to achieve academic excellence and make learning a fun and rewarding experience. “Excel in Subjects, Soar in Confidence!”

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

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

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

Why Choose Me?

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

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

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This course is designed for primary, secondary, or even university students who need support with their homework, want to better understand their lessons, or prepare for exams.

I offer personalized guidance in a friendly and supportive environment to help students:

Understand instructions and complete exercises

Review and reinforce difficult concepts

Develop effective study habits

Build confidence and become more independent

📚 I can assist with various subjects (languages, humanities, etc.) depending on the level.

💡 My goal: to ensure students never feel alone with their homework and to help them enjoy learning again.

Lessons are available in person or online, depending on your preference.
Feel free to get in touch to discuss your or your child's specific needs!

This course is aimed at primary and secondary school students, or even college students who need support to do their homework, better understand their lessons, or prepare for an exam.

I offer tailor-made assistance, in a caring and encouraging atmosphere, for:

Understanding the instructions and exercises

Review concepts not acquired

Developing effective working methods

Gain autonomy and confidence

📚 I can teach in several subjects (languages, humanities, etc.) depending on the level.

💡 My goal: that the student never feels alone when it comes to their homework, and that they rediscover the joy of learning.

Courses available in person or online, depending on your preferences.
Please do not hesitate to contact me to discuss your child's specific needs!

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• 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! :)

Jeremy

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Greetings!

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

Thank you for your comprehension!