Differential Equations is a difficult subject for most students because each type of equation has many solution methods that the student must understand how to perform. In addition, each solution method usually is very involved with many different steps that require the student to have a solid foundation in Calculus.
Solving higher order differential equations is challenging for most students simply because the solution methods usually run several pages in length even for the easier problems. The student must identify the type of equation to solve and apply the appropriate solution method, which can lead to valuable lost time on an exam if the wrong solution method is chosen at the outset.
Differential equations is used in all branches of engineering and science. In essence, once a student begins to study more complex problems, nature usually obeys a differential equation which means that the equation involves one or more derivatives of the unknown variable.
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.
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 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 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.
Matrix Algebra usually gives students problems in the beginning because although it has applications in algebra, it looks completely different from any algebra the student has used up to this point. The material on these DVDs is covered in most advanced high school algebra courses and is definitely covered in a university linear algebra course.
The Advanced Algebra Tutor is a 7 hour course spread over 2 DVD disks that picks up where the Algebra 2 Tutor DVD ends and continues to teach the student core concepts in Algebra. The material in this DVD is sometimes taught at the end of Algebra 2 and is always taught in College Algebra. Every topic is taught by working example problems that begin with the easier problems and gradually progress to the harder problems. Every problem in taught in step by step detail ensuring that all students understand the content.