Mathematics Tutoring
Calculus
Calculus is the culmination of all the mathematical skills a student has learned up to this point. Calculus leaves the perfect and polished problems of pre-calculus behind and steps into the realm of real world problems. Total understanding at this point is essential. The introduction of limits and the derivative (rate of change) can be very daunting to students, but with a little help, it can all be broken down into understandable parts. Application of the derivative is next, ranging from extrema, mean values, first and second derivative test, limits at infinity, optimization, to differentials. The next most important topic is integration, and the anti-derivative, and the simple methods associated with these. The next section that can be very difficult for students is the transcendental functions and the associated integration. These methods, from logarithmic differentiation and integration, inverse function, exponential, inverse trig, to hyperbolic can be understood with the proper explanation. Differential equations, integration applications, improper integrals, infinite series, parametric equations, vectors, functions of several variables with differentiation and integration, and vector analysis, can also be understood with proper explanation. I can help you with any of these topics.
Trigonometry
Trigonometry introduces the usefulness of triangles for solving vectors and unknown lengths.
Here is a example of a common mistake when students try to find the period and phase shift of trigonometric equations.
This is correct, y\left( t\right) =A\sin \left( B\left( t-C\right) \right) +D.
This is incorrect, y\left( t\right) =A\sin \left( Bt-C\right) +D.
Statistics
Statistics deal with collecting and presenting data in a coherent way. I can help you with the concepts of data collection, organizing and summarizing data, discrete and normal probability distributions, claims regarding a parameter, confidence intervals, inference on two samples, categorical data, comparing three or more means, and inference on the least-squares regression model and multiple regression.
Precalculus
Precalculus is the gateway to calculus. Function manipulation, using graphing software or calculators, polynomials with complex numbers, exponential and natural log functions, trigonometric functions, parametric equations, and matrices and systems of equations are involved subject matter, and can easily be misunderstood. I can help clear up any difficulty’s a student might have with any precalculus subject.
Algebra 2
Algebra 2 starts to introduce the concepts that will be more rigorously explored in Precalculus. Proper understanding at this point is very important. Inequalities, polynomials, exponents, quadratic equations, functions, exponential and logarithmic functions, and series are all very important. I can help students to understand any of these concepts.
Algebra 1
Algebra 1 can be thought of as the real beginning of important math, and with that comes more difficult concepts. I understand where students have common difficulty, and I enjoy helping to them to reach complete understanding. Graphical and analytical analysis of equations and word problems are now required. A deeper understanding of Quadratic and linear equations is required, and I can help answer any question a student may have.
Geometry
Geometry lays the ground work for understanding mathematics and the world around us. Lines, area, volume, angles, triangles, polygons and spheres are very important for an understanding of how to apply math. I can help students realize the important conceptual aspects of geometry.
Prealgebra
I am very familiar with all the aspects of Prealgebra. I can help students to recognize the importance of variables, formulas, equations and graphs. These concepts can then be applied to word problems to figure out real life puzzles. Prealgebra is a very important time in a student’s mathematical skills development and I can help any student with any conceptual hurdles they may have.
