Calculus 2

Calculus II - 7.3 Completing the Square Examples This is a PDF consisting of 8 pages that talks about completing the square. This is a skill that is used frequently in section 7.3 : Trigonometric Substitution. I have prepared this to ensure that I remembered all the different cases and uses of completing the square. My Grade : 95 % (A+)

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 - 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 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 -...