The Laplace Transform is one of the most powerful mathematical tools that can be used to solve a wide variety of problems in Math, Science, and Engineering. We begin this course by discussing what the Laplace Transform is and why it is important. Next, we show the Laplace Integral, and derive several fundamental transformations that we will use in the remainder of the course. We also discuss the Inverse Laplace Transform and derive several inverses. We discuss how to solve Ordinary Differential Equations (ODEs) with initial conditions and work several examples to give practice with real problems.
The Algebra 2 Tutor is a 6 hour course spread over 2 DVD disks that will aid the student in the core topics of Algebra 2. This DVD bridges the gap between Algebra 1 and Trigonometry, and contains essential material to do well in advanced mathematics. Many of the topics in contained in this DVD series are used in other Math courses, such as writing equations of lines, graphing equations, and solving systems of equations. These skills are used time again in more advanced courses such as Physics and Calculus.
The Algebra Word Problem Tutor is a 6 hour course spread over 2 DVD disks that will aid the student skills needed to master Algebra Word Problems. Word problems are frequently hard for students to master because you have to learn how to extract the information out of the problem and decide how to proceed with finding the solution - and there are usually many ways to do this! This DVD course teaches by examples how to set up algebra word problems and solve them. It is applicable to any Algebra course, SAT, GRE, and other standardized tests.
The Geometry Tutor is a 9 hour course spread over 2 DVD disks that will aid the student in the core topics of Geometry. Geometry is frequently challenging for students because every problem involves a figure that the student must use to solve the problem. It is very important early on to master the art of reading the geometric figures properly in order to do wellin this subject. The best way to do this is to introduce the definitions early on and solve problems involving diagrams to give the student this much needed practice.
Calculus can be an intimidating subject. For many students, even the name sounds intimidating. The truth is that Calculus is based on a few very powerful principles and once you fully understand those principles all of the additional topics naturally follow. Most Calculus textbooks begin the subject with a nauseating discussion of limits and then proceed to the introduction of a derivative which is one of the core topics in Calculus. This DVD series begins the discussion immediately with the concept of the derivative without any math at all and spends some time ensuring that this concept is solidified. Limits are used to explain the derivative via example problems beause that is how they are defined, but you will not be presented with endless lectures on abstract math topics that are not directly related to the core topics of Calculus. All of the other topics are taught in the very same manner, relying on the power of learning by working fully narrated example problems in a step-by-step fashion.