Math for High-Schoolers and University Students: Algebra, Geometry, CalculusTranslate this text using Google Translate.
Math for High-Schoolers and University Students: Algebra, Geometry, CalculusTranslate this text using Google Translate.
The topics I cover in my course:
Algebra I — linear equations, inequalities, systems of equations, exponents, polynomials, factoring
Geometry — angles, triangles, congruence, similarity, circles, area, volume, basic proofs
Algebra II — quadratic equations, complex numbers, rational expressions, radicals, functions
Probability and Statistics — counting, basic probability, mean/median/mode, data interpretation
Trigonometry — trig functions, identities, laws of sines and cosines, unit circle
Calculus I — limits, continuity, differentiation, applications of derivatives
Calculus II (introduction) — integration techniques
Linear Algebra — matrices, determinants, vector spaces, eigenvalues and eigenvectors, linear transformations
Differential Equations — first- and second-order ODEs, systems of ODEs, Laplace transforms
Discrete Mathematics — logic, set theory, combinatorics, graph theory, recursion