Online Maths Tutor José Eduardo

Over more than two decades, I have helped hundreds of students in mathematics and physics achieve their goals at school and university. More than one hundred have progressed from C or D to A within a few months through targeted instruction, structured practice, and study plans.

Gregory, an A‑Level physics student, could not move beyond a C despite working hard. After refining his study methods and adding four hours of weekly lessons on problem‑solving and exam technique, he earned an A in two months.

Mary, an A‑Level student in mathematics and physics, worked diligently but lacked confidence, and her results reflected it. Over three months, with six hours of tuition per week, deliberate revision cycles, and mindset coaching, her grades improved and she secured admission to Cambridge.

With Justine, a secondary‑school pupil diagnosed with ADHD, I collaborated with her family and teachers to develop strategies that supported attention and reduced cognitive overload—short, timed tasks, visual organisers, and goal‑based feedback. After six months, she moved from a D to a B in mathematics and became happier and more self‑assured.

Stories like these span all levels—Secondary, GCSE, IGCSE, IB, A‑Level, and Undergraduate—across physics and mathematics. With clear goals, consistent feedback, and personalised resources, students make lasting progress.

I have over 20 years of classroom experience teaching Mathematics and Physics at Dante Alighieri School, Palmares School, Rio Branco School, Albert Sabin School, and Saint Emeric School, serving at times as coordinator of the Physics department, where I mentored teachers and aligned curricula with academic standards.

At the tertiary level, I have taught Bachelor’s programmes in Physics, Mathematics, and Chemistry, as well as Engineering, Economics, Business Administration, and Accounting, at Anhembi Morumbi University and Oswaldo Cruz Colleges. My approach blends rigorous content mastery with exam strategy and student‑centred coaching, turning effort into measurable results.

Underground Maths

• Calculus: limits, derivatives, integrals, series, differential equations, and selected advanced topics with applications.

• Linear Algebra: analytic geometry, vectors, matrices, systems, transformations, eigenvalues, eigenvectors, and geometric interpretation.

• Statistics: probability, descriptive measures, distributions, sampling, inference, hypothesis testing, and critical model evaluation.

• Cryptography: symmetric and asymmetric keys, hash functions, signatures, protocols, and practical security use cases.

• Discrete Mathematics: logic, functions, sets, number theory, graph theory, Boolean algebra, algorithms, and combinatorics.

• Further Mathematical Methods: complex numbers, multivariable calculus, matrix methods, numerical techniques, and optimisation.

• Further subjects covered in Engineering, Mathematics, Physics, Chemistry, Business Administration, Accounting, and Actuarial Science courses.


Underground Physics

• Classical Physics: mechanics, electromagnetism, thermodynamics, waves, and optics, using experiment driven problem solving.

• Astronomy and Astrophysics: planets, stars, galaxies, cosmology, observation, and computational modeling.

• Relativity: inertial frames, time dilation, length contraction, mass–energy, Lorentz transformations, and four vectors.

• Quantum Mechanics: wave–particle duality, Schrödinger equation, superposition, entanglement, uncertainty, and modern applications.

• Nuclear and Particle Physics: particles and antiparticles, interactions, decays, scattering, detectors, fission, and fusion.

• Materials Science: structure, bonding, defects, diffusion, deformation, failure, phases, ceramics, polymers, composites, batteries, and photoelectrochemistry.

• Further subjects covered in Engineering, Mathematics, Physics, and Chemistry courses


Exam Preparation and Courses

• A Level Physics (AQA, Edexcel, OCR, Cambridge International): calculus linked problem solving, practical mastery, and exam technique.

• GCSE and IGCSE Physics: core concepts, quantitative skills, board specific strategies, and past paper fluency.

• IB Physics (SL/HL): full syllabus coverage, Internal Assessment guidance, data analysis, and readiness checks.

• A Level Maths: Pure, Statistics, Mechanics, structured methods, and proof based reasoning.

• GCSE and IGCSE Maths: number, algebra, geometry, and data handling with systematic revision.

• IB Mathematical Studies (legacy): applied problem solving and examination strategy.

• IB Maths: Analysis and Approaches; Applications and Interpretation: rigorous calculus, modeling, statistics, and technology enabled methods.

• Secondary Maths and Physics: progressive skill building, personalised resources, regular feedback, and measurable progress.