Houston Math Prep
The "Prep" is for prepare, and we hope that our material will allow you to prepare to do your absolute best work in mathematics. We believe that everyone is capable of learning mathematics given the right instruction and enough personal effort. It is our goal to provide resources for motivated individuals to make progress in their understanding of mathematics, and we believe that these types of resources should be freely available to anyone who has a desire to apply them.
Systems of Nonlinear Equations (Precalculus)
Cramer's Rule (Precalculus & Linear Algebra)
Determinants (Linear Algebra)
Identity Matrices & Transpose of a Matrix (Linear Algebra)
Matrix Addition & Multiplication (Linear Algebra)
The Matrix Equation Ax=b (Linear Algebra)
Линейные комбинации и векторы (линейная алгебра)
Введение в векторы в двумерном пространстве (линейная алгебра)
Basic Variables & Free Variables (Linear Algebra)
The Row Reduction Algorithm (Linear Algebra)
Elementary Row Operations (Linear Algebra)
Echelon Forms, Pivots & Pivot Columns (Linear Algebra)
Введение в системы линейных уравнений (линейная алгебра)
Multiplication Rule for Probability (Example 1)
Directional Derivatives (Calculus 3)
The Gradient of a Function (Calculus 3)
Multivariable Chain Rule (Calculus 3)
Introduction to Partial Derivatives (Calculus 3)
Пределы функций двух переменных (исчисление 3)
Level Curves and Contour Maps (Calculus 3)
Functions of Several Variables (Introduction)
Curvature of a Vector Function (Calculus 3)
Пределы и непрерывность векторнозначных функций (исчисление 3)
Arc Length (Calculus 3)
Derivatives and Tangent Vectors (Vector-Valued Functions)
Unit Tangent Vector & Principal Unit Normal Vector (Calculus 3)
Integration of Vector Functions (Calculus 3)
Пересечения и следы поверхностей (в трехмерном пространстве)
Cylinders (Calculus 3)
Квадрические поверхности (исчисление 3)