Style

1. Experimental evidence

The study of physics is the pursuit of better explanations for the evidence we collect during the practice of the scientific method and it is the pursuit of ever more useful experiments that challenge the best explanations we have already supported with evidence.

2. Problem solving methods

Writing physics includes writing the math required for solving textbook problems, certainly, but also new problems like those encountered by people in all professions. Draw diagrams, list known quantities, describe the goal, seek inspiration from similar worked problems, solve similar problems, ask others about the problem and its possible solutions.

3. Mathematical models

The language of mathematics is just like any other language that can be learned by reading, writing, and speaking. Physicists have enabled great technological leaps by translating the results of their experiments into mathematical models. When based on experimental results these can be physical models which are used by many different types of valuable work. 

4. Worked problems

Every new discovery creates new problems to solve. Learning to solve problems requires practice solving new problems. This practice requires access to a safe environment and the knowledge constructed by centuries of math and physics work that I plan to put on this site.

I will store the worked problems in the documentation page, which is linked at the top of this page.

Content

5. Lecture content

Slideshow and whiteboard presentations that motivate and explain the content can be reformatted into text, textbooks, infographics, documentary films, and more, but the goal and the content is the same. I collect it here on this website for everyone who wants my tutoring to have.

5. 1. Newton's Laws

   2. Energy and Momentum

   3. Rotational motion

   4. Newton's Gravity

   5. Fluids and elasticity

   6. Waves

   7. Thermodynamics

   8. Electricity and magnetism

   9. Circuits

   10. Optics

   11. Relativity and quantum physics

Modern mathematics pedagogy reformulates the list of topics and specifies a style

Style

1. Precise definitions are essential

2. Every statement must be supported by mathematical reasoning

3. Mathematical statements are precise

4. Mathematics is coherent

5. Mathematics is purposeful

Contents

• prealgebra 

  • whole numbers

  • operations: symbols, associative laws, commutative laws, distributive law

  • addition, subtraction, multiplication, long division

  • the number line

  • estimation

  • bases of numbers

  • fractions

  • percent, ratio, rate, units

  • rational numbers and decimals

• algebra

  • symbolic expressions

  • linear equations and their graphs

  • simultaneous linear equations

  • functions and their graphs

  • linear inequalities

  • exponents

  • quadratic functions

  • polynomial and rational functions

  • exponential and logarithmic functions

• geometry

  • constructions

  • isometries

  • congruience, dilation, similarity

  • length, area, and volume

  • basic theorems of plane geometry

  • axiomatic systems

I can tutor in the park, at the library, and at my or your home. Contact imapdjr@gmail.com to schedule a session. Text chat and video calls work with that email address. I'm busy on Sundays and I prefer mornings.