Maths and physics universe
Welcome to Maths and Physics Universe! I create clear, step-by-step notes, solved examples, and diagrams for mathematics and physics courses. My materials are designed to help students master complex concepts quickly and easily, from calculus and algebra to mechanics and electromagnetism. Perfect for university and high school learners.
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GCSE Physics 2024 – Paper 2 Theory Questions with Step-by-Step Answers
Clear and concise answers to 2024 GCSE Physics Paper 2 theory questions. Covers topics such as neutrinos, waves, motion, and stopping distances with step-by-step explanations. Ideal for revision and exam preparation.
- Exam (elaborations)
- • 6 pages •
Clear and concise answers to 2024 GCSE Physics Paper 2 theory questions. Covers topics such as neutrinos, waves, motion, and stopping distances with step-by-step explanations. Ideal for revision and exam preparation.
Multivariable Calculus: Level Curves, Surfaces, Domain (With Step-by-Step Solutions with diagrams)
Handwritten lecture notes covering the fundamentals of multivariable calculus: 
 
Understanding level curves and level surfaces 
 
Determining the domain of multivariable functions 
 
Step-by-step examples with diagrams for easy comprehension 
Perfect for beginners or anyone starting MATH 201 / Calculus III.
- Class notes
- • 3 pages •
Handwritten lecture notes covering the fundamentals of multivariable calculus: 
 
Understanding level curves and level surfaces 
 
Determining the domain of multivariable functions 
 
Step-by-step examples with diagrams for easy comprehension 
Perfect for beginners or anyone starting MATH 201 / Calculus III.
Extrema in Multivariable Calculus – Step-by-Step Notes
Clear and intuitive notes on extrema in multivariable calculus. Covers critical points, partial derivatives, second derivative test, Hessian matrix, local maxima, minima, and saddle points with step-by-step examples. Perfect for MATH 201 and Calculus III students.
- Class notes
- • 11 pages •
Clear and intuitive notes on extrema in multivariable calculus. Covers critical points, partial derivatives, second derivative test, Hessian matrix, local maxima, minima, and saddle points with step-by-step examples. Perfect for MATH 201 and Calculus III students.