What you might need to know

Calculus III - MATH 2210

Summer 2013

Temporary Announcements:
  1. Suggested problems for final exam:
    15.7 # 17,33
    15.8 # 19
    15.9 # 20,25,30
    15.10 # 11,19
    16.1 # 29-31
    16.2 # 9, 17, 41
    16.3 # 9,17,19
    16.4 # 9,18
    16.5 # 7,15,19
    16.6 # 21,35,61
    16.7 # 15,23,43
    16.8 # 3,7
    16.9 # 5,7
  2. The grades on WebAssign have been upgraded and are exact now.


Syllabus: PDF

Class code for WebAssgin : uwyo 6655 7622

Past Exams: Spring 2013: ZIP

Homework 1: PDF
Homework 2: PDF
Homework 3: PDF
Homework 4: PDF

Maple Worksheets:

The files that I've uploaded don't work, so here is the link to a dropbox folder with all the worksheets on it and will be updated regularly: +

The ones that have section numbers in front of them are from a website that I forgot the link to.
The rest are the ones that I've prepared and used in class.


If you feel confident with the topics of calculus I and II and you want something that you can do to to get better understanding of the topics and to get deeper into concepts as well as applications, Shahriar Shahriari's book, Approximately Calculus, provides an excelent such perspective.



From the back cover of the book: (also can be found at google books)

Is there always a prime number between n and 2n? Where, approximately, is the millionth prime? And just what does calculus have to do with answering either of these questions? It turns out that calculus has a lot to do with both questions, as this book can show you. The theme of the book is approximations. Calculus is a powerful tool because it allows us to approximate complicated functions with simpler ones. Indeed, replacing a function locally with a linear--or higher order--approximation is at the heart of calculus. The real star of the book, though, is the task of approximating the number of primes up to a number x. This leads to the famous Prime Number Theorem--and to the answers to the two questions about primes. While emphasizing the role of approximations in calculus, most major topics are addressed, such as derivatives, integrals, the Fundamental Theorem of Calculus, sequences, series, and so on. However, our particular point of view also leads us to many unusual topics: curvature, Pade approximations, public key cryptography, and an analysis of the logistic equation, to name a few. The reader takes an active role in developing the material by solving problems. Most topics are broken down into a series of manageable problems, which guide you to an understanding of the important ideas. There is also ample exposition to fill in background material and to get you thinking appropriately about the concepts. Approximately Calculus is intended for the reader who has already had an introduction to calculus, but wants to engage the concepts and ideas at a deeper level. It is suitable as a text for an honors or alternative second semester calculus course.

Feeling strong in calculus? Try some of these problems: +

Some useful links:
  1. Calculus III Lectures by Edward Frenkel: +

  2. A forum to ask and answer questions: Art of problem solving
  3. A series of videos by legendary Gilbert Strang on the highlights of calculus: +

  4. Short, fun, and informative videos on different basic topics in math like what are numbers, how to add fractions to watch at your spare times: +

  5. Still struggling with what limits and derivatives are? Here is a list of short friendly videos which teach you the topics, give many examples and also talk about some applications. Also explore the website for other topics: +