What follows below reflects uncategorized recent activity in the courses I am teaching, with the most recent activity at the top. This information can be categorized by course and type by selecting the "courses" link above.

Integration by Parts

Section: 
7.2
Date: 
Wednesday, August 25, 2010 - 14:00 - Friday, August 27, 2010 - 15:00

Math 2300 Section 005 – Calculus II – Fall 2010

Integration by Parts Examples – August 25–27, 2010

Classic Examples

  1. \displaystyle\int xe^{x}\, dx

    Solution: We select u and v^{{\prime}} and then u^{{\prime}} and v follow.

    \displaystyle u \displaystyle=x \displaystyle v^{{\prime}} \displaystyle=e^{x}
    \displaystyle u^{{\prime}} \displaystyle=1 \displaystyle v \displaystyle=e^{x}
    \displaystyle\int xe^{x}\, dx \displaystyle=xe^{x}-\int e^{x}\, dx
    \displaystyle=xe^{x}-e^{x}+C

Worksheet 1

Solutions to the first worksheet have been posted.

Book Assignment 1

Due Date: 
Monday, August 30, 2010 - 16:00

Section 7.1: Problems 98 and 110
Section 7.2: Problems 44 and 56

This assignment, and following written assignments, are due at my office by 4PM on the due date. If I am not at my office when you turn the assignment in, you may either slide it under my door or place it in the folder outside my door.

Solutions are posted in the images attached to this post.

Substitution

Section: 
7.1
Date: 
Monday, August 23, 2010 - 14:00 - Tuesday, August 24, 2010 - 15:00

Math 2300 Section 005 – Calculus II – Fall 2010

Substitution Examples – August 23–24, 2010

Guess and Check & Mechanical Substitution Examples

  1. \displaystyle\int x\cos(x^{2})\, dx

    Solution: If you guess that \sin(x^{2}) is an appropriate antiderivative, then you differentiate to 2x\cos(x^{2}) via the chain rule. But, we're now off by a scalar factor, which is an easy fix. Just multiply your antiderivative by half. We end up with

    \int x\cos(x^{2})\, dx=\frac{1}{2}\sin(x^{2})+C

    and we know this is the answer because we can differentiate to x\cos(x^{2}).

Office Quiz

Due Date: 
Monday, August 23, 2010 - 14:00 - Friday, August 27, 2010 - 16:00

The purpose of this quiz is for you to be able to find my office. It also lets me know when office hours would be best for you. Fill out the attached pdf and deliver it to my office before Friday, August 27 at 3 PM. If I am not at my office, then either leave the quiz on my desk (assuming someone else is at the office) or slide it under the door (assuming nobody is at the office and the door is closed).

My office is in Math 340, in the Mathematics Department near the intersection of Colorado and Folsom. (See the link to the left.)

Course Info

Meeting Place/Time: ECCR 1B55 - MTWThF 2:00-2:50 PM

Text: Calculus, by Hughes-Hallet et. al. (Wiley) 5th edition

Course Websites:

Calculators: A TI-83 or equivalent is required for this course.

WeBWorK Info:

  • Login Details: Use your CU identikey as your username and your buff number (with dashes) as your password.
  • You have 5 attempts at each problem until that problem is locked out.
  • Due dates are posted. (You will have approximately 2 days for each assignment.

Facebook group/forum

Search for "Fall 2010 Math 2300" on Facebook to find the Facebook group/forum set up for students in this class to discuss WeBWorK and other course topics.

For remaining details (grading, structure, etc.) please refer to the course syllabus.

© 2011 Jason B. Hill. All Rights Reserved.