This document describes the composition of the Algebra subject of the advanced course of Mathematics for high school students and teachers presented on the Internet at www.unizor.com. Click "Algebra" on the Unizor main page to get started.
This write-up describes purpose, methodology and top level contents of an educational site Unizor, Advanced Math for Teenagers
Unizor features a curriculum for advanced course of mathematics for high schools. The word "advanced" we mean in terms of depth of learning, rather than in terms of number of topics covered. Most important characteristic that distinguishes this course from many other on-line math courses is its emphasis on problem solving, rigorousness of presentation and proof of theorems as the main methodology. Unizor emphasizes "Knowledge" and "Why?" rather than "Skill" and "How?". Unizor is a mind development tool inasmuch as gym is a tool to develop muscles and stamina.
Video textbook on Advanced Mathematics for high school students.
Welcome to Unizor - an Advanced Math course for high school students and teachers (www.unizor.com). Here we prove theorems, solve problems, take exams, enroll into different subjects. We discourage memorization and encourage derivation. We develop creativity, logic and analytical thinking. We believe, this course is an excellent tool to develop intelligent critical mind. It's free and has no advertising. Just go to www.unizor.com to get started.
This document describes the composition of the Math Concepts subject of the advanced course of Mathematics for high school students and teachers presented on the Internet at www.unizor.com. Click "Math Concepts" on the Unizor main page to get started.
A set of lectures dedicated to advanced geometry for high school students. Special attention is given to proofs of theorem and solving problems. This set of lectures is a part of the Advanced Math 4 Teenagers course on the Web site http://www.unizor.com
All you want to know about Trigonometry, but were afraid to ask. Rigorous definitions of trigonometric functions for any angles (not necessarily acute), their graphs and numerous problems related to trigonometric identities, equations and inequalities.
A series of lectures introducing a concept of vectors, their representations, geometrical and algebraic meaning and operations with vectors - addition, subtraction, multiplication by a constant, scalar product and vector product.
Combinatorics is extremely important subject of Mathematics. Studying it and, especially, solving problems presented and analyzed in this course would prove to be extremely important to develop creativity, logic and analytical thinking in students. This is one of the most useful math subjects in everyday life filled with necessities of making choices.
A relatively superficial introduction to matrices as linear transformations. Most of the attention is dedicated to 2x2 and 3x3 matrices. Rules of operation with matrices are discussed as well as their role in solving the systems of linear equations.
The subject of Probability is introduced on the elementary level with discussions about its meaning (measure of frequency of past event occurrences or amount of knowledge about event, or measure of prediction about its future occurrence). Concepts of Conditional probability, random variables, distribution of probabilities and characteristics of these distributions (expected value and variance) are introduced and supplemented with numerous examples and problems.