Taylor J. Calculus II Guided Notebook 2ed 2021 torrent

Textbook in PDF format

Calculus II tends to be a very difficult course for many students. There are many reasons for this. The first reason is that this course does require that you have a very good working knowledge of Calculus I. The Calculus I portion of many of the problems tends to be skipped and left to the student to verify or fill in the details. If you don’t have good Calculus I skills, and you are constantly getting stuck on the Calculus I portion of the problem, you will find this course very difficult to complete. The second, and probably larger, reason many students have difficulty with Calculus II is that you will be asked to truly think in this class. That is not meant to insult anyone; it is simply an acknowledgment that you can’t just memorize a bunch of formulas and expect to pass the course as you can do in many math classes. There are formulas in this class that you will need to know, but they tend to be fairly general. You will need to understand them, how they work, and more importantly whether they can be used or not. As an example, the first topic we will look at is Integration by Parts. The integration by parts formula is very easy to remember. However, just because you’ve got it memorized doesn’t mean that you can use it. You’ll need to be able to look at an integral and realize that integration by parts can be used (which isn’t always obvious) and then decide which portions of the integral correspond to the parts in the formula (again, not always obvious).
Calculus I Review—Differentiation and Limits
Areas and Distances (Riemann Sums)
The Definite Integral
Evaluating Integrals
The Fundamental Theorem of Calculus
Integration by U-Substitution
Integration by Parts
Partial Fractions and Additional Techniques of Integration
Integration with Tables
Approximation
Improper Integrals
Area Between Curves
Volume
Arc Length
Work
Sequence
Series
Integral and Comparison Tests
Alternating Series Test
Power Series
Presentation of Functions as a Power Series
Taylor and MacLauren Series