Handwritten Notes by 2nd year CS Student

Calculus II - Section 7.8 : Improper Integrals. This is a 35 page PDF that I have personally prepared for section 7.8 : Improper Integrals It is an in-depth coverage of all the necessary knowledge, tips and information needed to solve all related questions to this section. In this PDF, you will find : an introduction to this section, definition of Improper Integrals, the different types of Improper Integrals, finding if an Improper Integral is Convergent or Divergent. I have tried my ...

Calculus II - Section 7.5 : Strategies for Integration This is a simple 5 page PDF covering section 7.5. This is a very simple section which is simply a revision of the previous topics. Approaches to integration, how to choose the best method, combining different methods and exploring different substitutions are all covered. My final grade in this course : A+ (95%)

Calculus II - Section 7.5 : Strategies for Integration This is a simple 5 page PDF covering section 7.5. This is a very simple section which is simply a revision of the previous topics. Approaches to integration, how to choose the best method, combining different methods and exploring different substitutions are all covered. My final grade in this course : A+ (95%)

Calculus II - Section 7.4 : Integration of Rational Functions by Partial Fractions. This PDF is a 16 page introduction to Integration of Rational Functions. I prepared this handwritten note to help me in my final exam when I was taking this course, and I have managed to score 95% (A+). In this PDF, you will find a brief introduction to the idea of Integration of Rational Functions by Partial Fractions, what it is, how and when to use, and the different cases that we may face. I have paid a ...

Calculus II Note - Section 7.3 - Trigonometric Substitution. Hi everyone, I have prepared this 19 page PDF which explains the concept of Trigonometric Substitution and several examples. I made these handwritten notes during my University studies in order to help me understand and master this topic. In this PDF, you will find an introduction to the idea of Trigonometric Substitution, what it is, when to use it, and the 3 cases that we may face. My final score in this course : A+ (95%)

A very detailed and thorough revision of Calculus II - Section 7.2: Trigonometric Integrals. As a University student, I found this course pretty challenging and so | wanted to compile all the ideas and scenarios for possible exam questions, and combined them all into one PDF. In this 44-page document, you will find the important basic trigonometric identities needed for this section. You will also find different questions where this technique can be used, as well as visual representatio...

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 II - Section 6.3: Volumes by Cylindrical Shells This 4 page PDF explains the idea of calculating the volume of a given function when it is rotated about a specific line, similar to Section 6.2, however here we use a different approach. This new method is called Volumes by Cylindrical Shells. My final score in this course : 95% (A +)

Calculus II - Section 6.2: Volumes This is a brief 4 page PDF that quickly goes over the idea of using integration to find the volume created by rotating the graph about a given line. My final score in this course : 95% (A +)

Calculus II - Section 8.2: Area of a Surface of Revolution In this chapter of Calculus II, we discuss various application of integration. One of these applications is finding the Area of a Surface of Revolution by the help of integration. I have pesonally prepared this 10 page PDF to make sure that all the necessary information regarding this section is compiled into one simple file that is easy to understand. In this PDF, you will find : The 4 different formulas, 2 for dealing with ...

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%)

Calculus 2 - Section 11.4: The Comparison Tests In this section, we will take a look at two strategies for testing a Series for Convergence or Divergence; the Comparison Tests. In this 17 page PDF, you will find : • Comparison Test Limit Comparison Test • Step-by-step solution of problems My final score in this course : 95% (A +)

Calculus 2 - Section 11.3: The Integral Test In this section, we will learn about a certain test that we can use when we would like to check if a given series is Convergent or Divergent. In this 24 page PDF, you will find: • The definition of the Integral Test • The conditions for the Integral Test • Proving that the Harmonic Series is Divergent using the Integral Test • Detailed explanations and solutions

Calculus 2 - Section 11.2 : Series In this section of Calculus 2, we will define Series, observe the different types and find whether the limit exists When I was taking this course last semester, I found the concepts very complicated and hard, which is why I prepared this handwritten note. I paid alot of attention in order to make this PDF as simple as possible, and it has helped me greatly. In this 22 page PDF, you will find : -The definition of a Series -The Infinite Series -...

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...