Basic Number Theory
If I show you the following list: 2, 4, 6, 8, 10,..., you may immediately conclude that the next number after 10 is 12. Exploring number patterns can really help you develop a strong understanding of math concepts. It is my desire that you develop a love for this topic and others to come.
Things are not always the same size. Thus, a natural need arises to compare quantities, using division to see how much bigger a quantity is when compared to another.
Simply put, whenever we put an equal sign between two ratios and the ratio on the left is equal to the ratio on the right, we say that they form a proportion.
System of linear equations can arise naturally from many real-life examples. Generally speaking, those problems come up when there are two unknown or variables to solve. Moreover, a system of equations is a set of two or more equations that must be solved at the same time. For this reason, a system could also be called simultaneous equations.
Proof By Mathematical Induction
Proof by mathematical induction is a powerful method that is used to prove that a conjecture (theory, proposition, speculation, belief, statement, formula, etc...) is true for all cases. Just because conjecture is true for many examples does not mean it will be for all cases. In order to show that the conjecture is true for all cases, we can prove it by mathematical induction.
Calculators are awesome, but they’re not always handy. More to the point, no one wants to be seen reaching for the calculator on their mobile phone when it’s time to figure out a 15 percent gratuity.
Remember how you were taught in school to add and subtract numbers from right to left (don’t forget to carry the one!)? That’s all fine and well when doing math with pencil and paper, but when performing math in your head it’s better to do it moving from left to right.
When confronted with a difficult calculation, try to find a way of simplifying the problem by temporarily shifting the values around.
This course was developed for learners who may have basic math skills but don’t have knowledge of algebra or pre-calculus.
Our lessons are concise and to the point.
All the topics are covered in depth.