“Calculus 2 Advanced Tutor: Integral Test of Series Convergence”

Students will learn about the many different topics including integration techniques, sequences and series convergence rules and techniques, with new concepts such as parametric equations and polar integrals. Each program features numerous solutions to calculus problems, likely to be encountered in the classroom and problems of all complexities ranging from elementary to the most challenging. What sets this series apart from other teaching tools is that the concepts are taught entirely through step-by-step example problems of increasing difficulty. It works by introducing each new concept in an easy to understand way and using example problems that are worked out step-by-step and line-by-line to completion. If a student has a problem with coursework or homework, simply find a similar problem and review for the steps needed to solve the problem. Students will be able to work problems with ease, improve their problem-solving skills and understand the underlying concepts of Calculus. This program covers the important topic of Integral Tests of Series Convergence in Calculus. We begin by discussing what an Integral Test is and why it is a central topic in Calculus. Next, we solve several practical calculus problems that give students practice with these calculations. The entire lesson is taught by working example problems beginning with the easier ones and gradually progressing to the harder problems. Emphasis is placed on giving students confidence in their skills by gradual repetition so that the skills learned in this section are committed to long-term memory.