6 edition of Calculus II found in the catalog.
D. R. Arterburn
August 1986 by Engineering Pr .
Written in English
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Differentiate u to find du, and integrate dv to find v. Modularity rating: 2 Not fairly modular, since each section will make reference to material developed in Calculus II book text. Express this answer in terms of x. You should always talk to someone who was in class on the day you missed and compare these notes to their notes and see what the differences are. Estimating the Value of a Series — In this section we will discuss how the Integral Test, Comparison Test, Alternating Series Test and the Ratio Test can, on occasion, be used to estimating the value of an infinite series.
There are about per section, and they range in difficulty from easy, moderate, difficult, very difficult, and a few annoyingly tedious tossed in for good measure. Here are some examples:. The guidelines give here involve a mix of both Calculus I and Calculus II techniques to be as general as possible. There are formulas in this class that you will need to know, but they tend to be fairly general.
Tangent, Normal and Binormal Vectors — In this section we will define the tangent, normal and binormal vectors. Alternating Series Calculus II book — In this section we will discuss using the Alternating Series Test to determine if an infinite series converges or diverges. Applications of integral calculus include computations involving area, volumearc lengthcenter of massworkand pressure. In other work, he developed series expansions for functions, including fractional and irrational powers, and it was clear that he understood the principles of the Taylor series. The email will direct them to TheGreatCourses. We also define and give a geometric interpretation for scalar multiplication.
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Trig Substitutions — In this section we will look at integrals both indefinite and definite that require the use of a substitutions involving trig functions and how they can be used to simplify certain integrals.
It is Leibniz, however, who gave the new discipline its name. Madhava of Sangamagrama and the Kerala School of Astronomy and Mathematics thereby stated components of calculus. As an example, the first topic we will look at Calculus II book Integration by Parts.
While I did not notice explicit references to Volumes 1 and 2, I would imagine those Calculus II book there, as well, since it helps to make reference to earlier material developed in Calculus I and II to Calculus II book some of the concepts in Calculus III. Approximating Definite Integrals — In this section we will look at several fairly simple methods of approximating the value of a definite integral.
He used the methods of calculus to solve the problem of planetary motion, the shape of the surface of a rotating fluid, the oblateness of the earth, the motion of a weight sliding Calculus II book a cycloidand many other problems discussed Calculus II book his Principia Mathematica Bernhard Riemann used these ideas to give a precise definition of the integral.
He used the results to carry out what would now be called an integration of this function, where the formulae for the sums of integral squares and fourth powers allowed him to calculate the volume of a paraboloid.
This coordinates system is very useful for dealing with spherical objects. All requests to review the grading of exams or homework must be made within one week from the day when the link to your graded homework or exam has been sent to you via Gradescope, and within one day for the final exam.
Cylindrical Coordinates — In this section we will define the cylindrical coordinate system, an alternate coordinate system for the three dimensional coordinate system. Please call customer service at for assistance.
We will also illustrate how the Ratio Test and Root Test can be used to determine the radius and interval of convergence for a power series. We will look at some standard 3D surfaces and their equations.
Policy on re-grading midterm exams and homework: After receiving your graded midterm exam or a homework, you are recommended to review the grading. Exams Students who know ahead of time that they have an existing or potential exam conflict with the exam times must inform their instructor in the first two weeks of the semester.
Go to My Account to change your email address. Sample student solutions to the written homework will be posted online. Newton was the first to apply calculus to general physics and Leibniz developed much of the notation used in calculus today.
Arc Length with Vector Functions — In this section we will extend the arc length formula we used early in the material to include finding the arc length of a vector function.
Partial Fractions — In this section we will use partial fractions to rewrite integrands into a form that will allow us to do integrals involving some rational functions. Q: Oops! Calculus is also used to gain a more precise understanding of the nature of space, time, and motion.
Homework Homework for the course is assigned in several ways, all of which will count towards your grade. Interface rating: 4 There are some issues with links to entries in the text, e.Introduction to Calculus I and II. Each volume is an ebook in PDF format These are PDF files suitable for an ebook reader.
Suggested ebook readers (i) Your COMPUTER (ii) a KINDLE or (iii) an IPAD or (iv) other ebook reader PDF files can be uploaded to an ipad by way of itunes. What book should I choose for self-studying Calculus II?.
I'm looking for a book that has a good explanation of the content and also solved exercises (which is a very important thing that I'm usually missing). I'm already studying Calculus I by A First Course in Calculus by Lang and Calculus and Analytical Geometry by Thomas and Finney.
Good books for Calculus 2?
book. It's used in my school for Calculus 1, 2, 3, which covers integration, differentiation, numerical methods, infinite series, vector calculus and multivariable calculus.
level 1 [deleted] 1 point · 5 years ago.
Calculus II for Dummies by Mark Zegarelli is decent. I remember reading his explanation on one of.Department of Mathematics at Columbia University New York.
Pdf Calculus I, or equivalent. Textbook: “Calculus, Early Transcendentals” by James galisend.com Calculus Classes webpage for more information.