Prince Sultan University

This is a note that I have prepared for Calculus II - Section 7.1 which talks about Integration by Parts. This is a technique we use for Integration problems when we have a product within the integral, or when a normal u- substitution is not applicable. This PDF consists of 19 pages and describes the idea of Integration by Parts, the formula and the different scenarios in which we can apply this concept.

Calculus II - Section 6.5: Average Value of a Function A very simple section in Calculus II. Here, we apply a simple formula to find the average value of any given function. This 6 page PDF is all you need to prepare for this part of the course. My final score in this course : 95% (A +)

Calculus || - Section 8.1: Arc Length In chapter 8 of Calculus II, we discuss further applications of integration. One of these applications is finding the Arc Length of a given function. I have prepared this 16 page PDF highlighting all the important aspects of this section, which includes the formula to find the Arc Length, using the formula when the function is in terms of X or Y, solution of various problems and the different techiniques and strategies of integration that were dis...

Calculus II - Chapter 11 Revision This 8 page PDF serves as a quick recap and revision of the following sections from chapter 11: 11.1 - Sequences 11.2 - Series 11.3 - The Integral Test 11.4 - The Comparison Tests 11.5 - Alternating Series 11.6 - Absolute Convergence & Root Test & Ratio Test

Calculus 2 - 11.6: Absolute Convergence and the Root & Ratio Tests In this section, we look at another technique we can use to check whether a given Series is Convergent or Divergent. In this 18 page PDF, you will find : -Definition of Absolute Convergent -Different Examples of when we can use the -Absolute Convergence -Definition of Conditionally Convergent -The Ratio Test -The Root Test -Detailed solutions of problems in this section My final score in this course : A+ (95%)

Calculus II - Section 11.5: Alternating Series In this section, we study how to deal with an Alternating Series. We would like to check if a given Alternating Series is Convergent or Divergent. In this 10 page PDF, you will find : -Definition of an Alternating Series -Examples of Alternating Series -Introduction to the Alternating Series Test -Step-by-step solutions of various problems My final score in this course : A+ (95%)

These are the handwritten notes that I personally used when I was taking Calculus 2 last semester. With these handwritten notes, I managed to score an A+ (95%). I made sure to get rid of all the unnecessary and complicated explanations of the book, and instead prepared these notes that are easy to understand and simple. In these PDF's you will find handwritten notes covering the most essential parts of and exercises of chapters 6, 7, 8 & 11. Step-by-step solutions are provided with clear...