Advanced Mathematics & Calculus: From Foundations to Engineering Level - Astoria

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Advanced Mathematics & Calculus: From Foundations to Engineering Level

From 35.62 £ /h

Mastering mathematics is about understanding the logic behind the numbers. As an Aerospace Engineering student at the University of Maryland, I provide a structured and intuitive approach to even the most daunting mathematical challenges.
This course is designed for students who want to excel in:
- Advanced Calculus: Expert guidance in Differential and Integral Calculus, including Trigonometric Substitution, Partial Fraction Decomposition, and Multiple Integrals.
- Algebra & Trigonometry: Building a bulletproof foundation for higher-level math.
- Differential Equations: Understanding the mathematical language of physics and engineering.
- Analytical Geometry: Visualizing and solving complex spatial problems.

Extra information

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Location

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At student's location :

Around Astoria, NY, United States

Online from United States

About Me

I am an Engineering student and dedicated Academic Tutor with a passion for the exact sciences. Having secured first-place finishes in multiple intercollegiate physics competitions, I specialize in simplifying complex concepts in Advanced Calculus, Physics, and Mathematics. My tutoring approach is structured and results-oriented, designed to help students master everything from fundamental algebra to intricate integration techniques. Additionally, I offer native-level Spanish instruction, focusing on grammar and professional communication. Whether you are tackling advanced STEM coursework or looking to improve your language skills, I provide the tools and methodology needed for top-tier academic performance.

Education

Education & Academic Background
- Engineering Student | Currently pursuing advanced studies in Aerospace Engineering in University of Maryland.
- High School Diploma in Exact Sciences | Unidad Educativa Julio Pierregrosse.

Top Honors & Awards (2025)
- 1st Place – V Intercollegiate Physics Contest (U.E. Torremar).
- 1st Place – Physics and Science Competition (U.E. Israel).
- 1st Place – Intercollegiate Physics Olympiad (U.E. Maria Auxiliadora).

Technical & Engineering Projects
- Biomass & Prototype Development (2024): Led technical projects involving biomass production and crop quality improvement prototypes.
- Applied Engineering: Experience in circuit construction, Arduino programming, and rocketry.

Experience / Qualifications

Professional Qualifications & Technical Expertise

- Advanced Mathematics & Calculus
Expertise in complex integration (Trigonometric Substitution, Partial Fraction Decomposition), Differential Equations, and Mathematical Analysis.

- Applied Physics & Mechanics
Specialist in Kinematics, Dynamics, and competitive-level Physics problem-solving.

- Scientific Mentoring
Proven track record in peer tutoring and leading science clubs, focusing on simplifying abstract scientific concepts for all learning levels.

- Bilingual Instruction
Native Spanish speaker with high-level academic English, capable of delivering technical lessons in both languages.

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

120 minutes

The class is taught in

Spanish

English

Skills

Math

Calculus

Algebra

Availability of a typical week

(GMT -04:00)

New York

Online via webcam

At student's home

Mon

Tue

Wed

Thu

Fri

Sat

Sun

00-04

04-08

08-12

12-16

16-20

20-24

Native Spanish Instruction: Conversational Fluency & Academic Writing

31.75 £ /h

Unlock the Spanish language with a native speaker who understands the academic and professional demands of a global environment. As an Engineering student at the University of Maryland, I offer a practical and immersive approach to learning Spanish, tailored to your specific goals.
This course is designed for:
- Conversational Mastery: Build confidence in daily interactions and improve your pronunciation and natural flow.
- Grammar & Structure: A clear, logical breakdown of Spanish rules—making them as easy to understand as a math equation.
- Academic & Professional Writing: Perfect for students or professionals who need to produce high-quality essays, emails, or reports in Spanish.
- Technical Spanish: Specialized vocabulary for those interested in science, technology, and engineering.

Physics Specialist: High School, AP, & University Level

31.75 £ /h

I offer a comprehensive and high-impact approach to mastering the laws of the universe.
My course is specifically designed to bridge the gap between abstract formulas and deep conceptual understanding. We will dive deep into:
- Classical Mechanics & Dynamics: Mastering Newton's laws, kinematics, and energy conservation with competitive-level problem-solving techniques.
- Waves & Optics: Understanding the nature of oscillations, sound, and light, from simple harmonic motion to complex wave interference.
- Thermodynamics: Exploring heat transfer, the laws of thermodynamics, and their critical applications in engineering and aerospace.
- Electromagnetism: A rigorous approach to electric fields, circuits, magnetism, and Maxwell's equations.

Nawel

5.0

(1)

I am a 23-years old Columbia Engineering student, enrolled in the Master of Science in Management Science & Engineering, offering Mathematics or Physics lessons to High School, Undergraduate and Graduate students.

I have a strong analytical background in Mathematics and Physics with my undergraduate studies in France. I have followed an intensive formation for 3 years at Sainte Genevieve (Versailles), the top ranking preparatory school, after which I entered the French "Grande Ecole" Telecom ParisTech (Paris), one of the best Engineering School in France.

There I acquired efficient and strong work methods, and some experience in private teaching, and I would be glad to help whoever may need.
I suggest a focus on the notions and on exercices, that are essential to the understanding, and a progress according to short to middle-term objectives we fix together with the student. And I adapt to the student I have.

Do not hesitate to contact me for any question,

Nawel

Edwin

5.0

(1)

(In Spanish) problems related to mathematics are solved and explained by zoom, classes related to algebra, trigonometry, differential and integral calculus, mechanical physics of a particle, dynamics of a rigid solid particle, fields.

Hugo

5.0

(1)

Good morning! I am Hugo, a student at Ecole Centrale Paris, after MP* preparatory classes at Louis-le-Grand and currently on an exchange at Columbia University.

I offer courses in maths, physics, chemistry, computer science (or French!) for students of all levels: deepening, reinforcement or homework help.

A few figures to attest to my level of education:
- general average in the Baccalaureate: 18/20 (20 in all scientific subjects)
- eligible for competitions in all French engineering schools
- GPA at Centrale: 4.14/4.33 (top 5% of the promo)

I am very serious, dynamic and organized, can give lessons by webcam or around Upper West Side face-to-face.

Hello! I am Hugo, a French engineering student completing a Master's degree in data science at Columbia University!

I give private lessons in maths, physics, chemistry, informatics, or French lessons for students of any level: in-depth courses, reinforcement of homework support.

A few figures to certify my academic level:
- average mark at the Baccalaureate: 18/20 (20/20 in all scientific subjects)
- eligible for all prestigious Fench engineering schools
- GPA at Central: 4.14/4.33 (top 5% of the promotion)

I am very serious, dynamic, and organized, and I can give classes by webcam or in person near Upper West Side.

Lorena

5.0

(1)

Private classes in Spanish interactive where I look for my students to be interested in the subject taking different methods so that each student learns according to the one that best favors him. I have experience teaching and I will seek to give the best in each subject that my student wants to know I look for each one to overcome their own challenges and motivate them to more

Blanche

5.0

(1)

As a student in Engineering at Columbia University, I can give mathematics, physics and other sciences courses for middle school to high school students. I can also give french classes or do homework help for all ages.
I gave mathematics & physics' courses during 3 years in France, for high school students (senior year).

Paul

5.0

(1)

Hello!

My name is Paul, I study in New York as part of my schooling. I suggest you give home lessons to your child. I offer French/maths/history-geography lessons to young French people in the community who need academic support.

We:
- we will return to the general concepts seen at the beginning of the year
- we will complete homework and review assessments together
- I can give work myself from one course to another depending on needs
- at the start of each course we will take some time to review the previous course.

I have very good contact with children, the BAFA in my pocket, experience in holiday stays as well as in leisure centers. In addition, I taught children with academic difficulties as part of the Secours Populaire de Paris mission. I favor lively, colorful, fun teaching that gives meaning to learning.

Available now!

Ron

5.0

(1)

I am an Ivy League educated tutor ready to help you learn mathematics to achieve higher exam scores and gain admission to top universities.

I encourage students to explore topics they enjoy and strive to make each lesson entertaining. Learning should be fun, so my approach expands students' horizons, increasing their creativity so they realize their potential.

Please click “Request a Booking” to book a lesson.

Gopal

5.0

(1)

I love teaching Math and to be able to help students meet their career and personal goals.

When I start a topic, I am careful to not rush through it. I am prepared to devote, if needed, a good deal of time in clarifying the basics and make my students fundamentally strong in the topic. Math learning is often cumulative: learning any new topic would presume that you already understand certain concepts of math. If you don't already know these concepts, math becomes a hard subject. If you do, and possess an affinity for logical and analytical thinking, which - and here is the good news - most of us naturally have, then you may find yourself falling in love with Math.

If your fundamentals are strong, you will find that doing math is fun.
My students often start slow, but end up completing the marathon: be it developing a life-long affinity for Math, or obtaining good grades in class, or clearing competitive exams like SAT, or an exam as competitive as the JEE Mains of India.

You become good in a subject if you like it. I endeavor to help my students like Math, and thereby becoming good in it.

Happy learning.

Ronald

5.0

(1)

Math has always been my favorite subject and I enjoy sharing my passion for it with my students. I believe that being patient and approachable is the key to being a great tutor. I have more than 9 years of math tutoring experience (including classroom experience).

Math doesn't have to be hard! Mathematics at its core is about breaking up complex puzzles into smaller pieces and then putting the pieces back together in a more understandable way. Memorizing mathematical formulas don't get students very far. I help students get a deeper understanding of math which helps them grasp new concepts faster. My students have been able to speak math after a couple of tutoring sessions with me!

I tutor concepts from all levels of mathematics including Elementary, Algebra 1, Algebra 2, Geometry, Trigonometry, Statistics, SHSAT, SAT, ACT, GED, Pre-Calculus, and Calculus!

I hope to hear from you soon!

Salim

5.0

(1)

This class offers personalized, effective teaching tailored to each student's needs, ensuring faster learning and better results. Focused on building skills and confidence, it provides a supportive environment to achieve academic excellence.

Abel

5.0

(1)

I am a student in France at a leading engineering school: the Ecole des Ponts et Chaussées. I was able to join this school after 2 years of scientific preparatory classes in Paris and an advanced scientific curriculum.

During my years in Paris, I was able to give many lessons to students of all levels and these lessons always went very well, both for the student and for me.
I am there to help the student understand his course, to revise, to do his exercises, and to offer him exercises different from those seen in class to help him better understand the concepts of the course.

I currently live in New York and am looking to continue this activity.

Andrea

5.0

(1)

I have helped friends pass their math exams in high school and college. I prepare the lessons with exercises and ask the students to do the homework so I can review it and make sure they are learning.

Momna

5.0

(1)

Core Math Concepts

Depending on the grade level, students may learn:
• Elementary: Addition, subtraction, multiplication, division, fractions, decimals
• Middle School: Pre-algebra, ratios, percentages, integers, basic geometry
• High School: Algebra, geometry, trigonometry, statistics, pre-calculus, calculus
• College Level: Linear algebra, calculus, differential equations, discrete math, etc.

And physics Depending on their level, students may cover:
• Mechanics: Motion, forces, Newton’s laws, energy, momentum
• Waves and Sound: Oscillations, wave behavior, sound properties
• Electricity and Magnetism: Circuits, current, voltage, electromagnetism
• Thermodynamics: Heat, temperature, energy transfer
• Optics: Reflection, refraction, lenses

Janaya

5.0

(1)

I will be tutoring for middle school math. algebra, fractions, geometry, long division, and more). Whether you are a middle schooler yourself, heading to middle school, or would just like to learn this level of math, this would be a wonderful class for you!

Marlène

5.0

(1)

Hi! My name is Marlène. I graduated with a Master’s degree in Mechanical Engineering in May 2025, and I’d be happy to help with French or math. I’m very pedagogical and adapt to each student’s level! (I am working as a Mechanical engineer in the city)