Algebra II is the basis for all future math course because it leads to trigonometry, pre-calculus, and calculus which leads to even higher math. So a solid understanding of Algebra II is essential. Algebra II covers many topics, including solving systems of equations, graphing functions, inequalities, absolute values, complex numbers, polynomials, exponents, radicals, logarithms, conic sections, and sometimes basic statistics, combinatorics, matrices, sequences and series.
Calculus is the basis for all of higher mathematics and hence it is important to have a good fundamental understanding of it for anyone going into higher math or the sciences. Calculus is the study of infinitesimals and what happens to things as you take the limit to infinity. Basic calculus involves learning limits, derivatives and integrals. As the student masters these he or she moves onto multi-variable calculus which involves vectors, 3-d graphing, dot products, cross products, and much more. Additional topics include sums and series, basic differential equations, and applications.
A differential equation is an equation which has the function, it's various derivatives, and one or more independent variables. The objective is to find the general function that matches the equation. Once this is done particular solutions can be found using from initial conditions. The easiest differential equations to solve are usually linear, however separable, homogeneous, and exact can also be fairly straight forward. The method of integrating factors can be useful in solving differential equations as can series solutions. Differential equations are highly applicable, especially in modeling.
I have taken several differential equations classes during college including, differential equations, ordinary differential equations, and partial differential equations.
Geometry involves the study of shapes, sizes, and relative positions. In high school geometry students study lines, parallel lines, triangles, circles, and angles. This is often a students first introduction to proof and many find this to be quite difficult since they are used to dealing with numbers and not abstract concepts. There are lots of theorems to know but with a good understanding of why these theorems work students can find the subject much easier.
The study of Linear spaces. Linear models are some of the most basic models to learn but are also some of the most useful. Linear algebra includes the study of vector spaces(looking at the difference between dependent and independent vectors, column space, row spaces, null space, etc.), linear transformations (often in the form of matrices), and the invertible matrix theorem. Since matrices are a big part of linear algebra, matrix determines, eigenvalues and eigenvectors are essential. Finally, Linear Algebra has many applications include it's use in linear regression (for multiple variables), and solving systems of differential equations (quite useful for modeling).
I have played tennis since I was 12, and it's a great sport. I took tennis lessons for many years and was on my high school varsity tennis team which won a state championship.
I'm well versed in the many strategies and techniques in tennis. I can help to correct technical issues (have a nice understanding of the physics behind it, so I know where techniques are taught) of the forehand, backhand, volleys, serves and other strokes. Additionally, I can help with how you should approach the game given your style of play. Are you an aggressive base liner? Or perhaps your more defensive and never miss a shot? Either way, I can help you develop high percentage play that suits your style.