Pre-Calculus
The mathematical bridge between algebra and calculus. Pre-calculus builds the tools , functions, logarithms, trigonometry, and sequences , that make calculus accessible.
Logarithms Explained
What logs actually are, the change of base formula, natural log, and why logarithms appear everywhere in science.
Exponential Growth and Decay
The mathematics of things that grow or shrink by a fixed percentage , populations, compound interest, radioactive decay.
Functions and Transformations
Vertical and horizontal shifts, reflections, stretches, and inverse functions , the toolkit for graphing anything quickly.
Introduction to Trigonometry
Sin, cos, tan, the unit circle, and how angles connect to ratios , the foundation of all trig reasoning.
Sequences and Series
Arithmetic and geometric sequences, summation notation, and how infinite series converge to a finite value.
What is a Vector?
Magnitude, direction, vector addition, dot products, and why vectors appear in physics, graphics, and machine learning.