周次: 7 备注: Attendance check 日期: April 8, 2022 节次: 2 In this lecture, we will take a quick glance at the Numerical Integration methods. Numerical integrations are very useful in practice. The methods we are going to learn are Trapezoidal Method and Simpson’s Method. We will learn how to evaluate an integration numerically,...
周次: 6 日期: April 1, 2022 节次: 2 In this lecture, we continue presenting the integration of rational functions. After finishing this part, we are going to discuss some trigonometric integration techniques. Outline § 8.3 Integration of Rational Functions Method of Partial Fractions ( for $f(x)/g(x)$ Proper) Factorize the denominator $g(x)$, obtain all its linear and quadratic factors, as well as their powers. In...
周次: 5 日期: March 25, 2022 节次: 2 In this course, we will discuss the definition of hyperbolic functions. And we shift our attention to several integration techniques. These techniques can help us integrate more functions. A typical technique called “Integration by Parts” will be discussed as well....
周次: 5 日期: March 23, 2022 节次: 1 In this lecture, we define the inverse trigonometric functions, and develop some basic properties. The properties we are focusing on are the differentiation and integration properties. A brief introduction on hyperbolic functions, in particular the hyperbolic cosine and hyperbolic sine functions are given. As the second half, we discuss some integration techniques. Those techniques could help...