Overview
Index and activity log for the university mathematics preparation path. Reference material: Mathematics for High Schools.
Topics & Curriculum
Three main topics: analytic geometry, calculus, and vectors. Other side topics need to be touched for the best understanding of the main topics. Among these: properties of trigonometric and exponential functions, complex numbers.
Session Logs
| Date | Title | Summary | Weeks |
|---|---|---|---|
| Oct 28, 2026 | Session XXX-03. Crash Introduction to Calculus, Part 3: Ordinary Differential Equations | Introduction to ODEs, with examples about 1st and 2nd order linear equations with constant coefficients, that often appear in physics. | x |
| Oct 27, 2026 | Session XXX-02. Crash Introduction to Calculus, Part 2: Integrals | Graphical introduction to definite integrals as the limit of a Riemann sum. | x |
| Oct 26, 2026 | Session 3. Crash Introduction to Calculus, Part 1: Limits and Derivatives | Graphical introduction of limits and derivatives, some pathological cases, and the derivative of some fundamental functions. | 3 |
| Oct 19, 2026 | Session 2. Vector operations. Point distance, lines and conics in the plane | Cartesian basis and vector operations, and it’s application in defining lines with a point and a direction. Definition of point-to-point distance in Cartesian plane, and its application to define lines, and (almost every) conics: circles, ellipses, hyperbola. | 2 |
| Oct 12, 2026 | Session 1. Real Functions, Introduction to Analytical Geometry, and Position Vectors | Real functions as the first step in calculus, and their graph in the Cartesian plane, an excuse to recall analytical geometry and introduce vectors. | 1 |
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Schedule
Notes and Book Corrections
Errors and missing sections discovered during the tutoring sessions are collected in the log entries and fixed in the source repository. If you find any others, please report them on the GitHub repository.