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I have tutored or taught mathematics since I was in the 10th grade. That is when I discovered that I love doing it and trying to get others to like it too. I have been around a lot of students who say that they just don't get it, but I never give up on them. The main courses that I have taught or tutor are algebra, trigonometry, and calculus. At my present job a lot of students come back and thank me for helping them reach their goals or get their degree.
In Algebra 1 students are exposed to exponents and what they mean. They are also taught how to factor and solve for unknowns in equations of one variable or a two variable systems of equations. Student are taught how to set up and solve elementary word problems.
Algebra 2 basically introduces the notion of a function, and it extends this notion to a variety of different types of functions. We see polynomial, exponential, logarithmic functions and more. It also studies more complicated systems of equations and the methods of solution.
Calculus uses algebra and trigonometry along with a new notion called the limit extensively through the entire course. The limit is used to define two new concepts which are called the derivative or the integral of a function. We are now able to solve a variety analytical geometry problems which we could not solve with trigonometry and algebra alone.
Prealgebra covers factoring and how to solve for the unknown variable for basic equations. It also makes sure that the student has a thorough understanding of fractions. A small amount of elementary word problems are also included.
Trigonometry is a combination of algebra and geometry. It tries to use both algebra and geometry to solve complicated geometry problems. The algebra is on the level of algebra 2; the student must completely understand functions to succeed at trigonometry. New functions called transcendental functions are introduced and are used through out the course to solve a wide variety of problems.
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