# fall-2010-math-2300-005

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Calc II - CU Boulder - Fall 2010 - Section005

## Final Exam Review

Review for the final exam is attached.

Solutions have been posted.

## Web Survey

Due Date:
Tuesday, December 7, 2010 - 04:00

As at the beginning of the semester, this online survey about the course structure is worth a quiz grade. Plus, we're always looking for input on the course structure.

I don't see what anyone specifically writes, so the survey is anonymous. However, I do receive a list of students who took the survey, for the purpose of giving them the quiz credit.

http://www.zoomerang.com/Survey/WEB22B5EXTNC25

## Book Assignment 14

Due Date:
Monday, December 6, 2010 - 16:00

Section 16.1: problems 25, 29
Section 16,2: problems 29, 42
Section 16.3: problems 21, 22

## Book Assignment 13

Due Date:
Wednesday, December 1, 2010 - 16:00

Section 14.2: Problems 39 and 40

## Fall Break Worksheet

Due Date:
Friday, December 3, 2010 - 16:00

This worksheet provides some extra practice for sections 16.1 and 16.2. It is entirely optional and is being provided for those that want to get some extra practice during/after break. It hasn't been entirely decided what will happen with the grading of this worksheet, but it will most likely count as a quiz replacement or two.

It is due the Friday after break.

## Midterm 3 Solutions

Solutions to Midterm 3 are attached.

## Review Quiz 2

Math 2300 Section 005 – Calculus II – Fall 2010

Quiz – Monday, November 15, 2010

We will be having a review in class every day until the next midterm exam on Wednesday of this week. For this quiz, you are given 10 minutes to decide which problems you think you can solve and which ones you want to see solved during our review session today.

1. Use the Lagrange Error Bound Formula for to find a reasonable bound for the error in approximating the quantity with a third-degree Taylor polynomial for the function about . Choose the best error estimate.

Solution: We use the formula

where on the interval (i.e., the interval between where our Taylor polynomial is centered and where we're approximating the value). Since has a maximum value of on the interval , we obtain

2. Use the Lagrange Error Bound Formula for to find a reasonable bound for the error in approximating the quantity with a third-degree Taylor polynomial for the function

about . Choose the best error estimate.

## Review Quiz 1

Math 2300 Section 005 – Calculus II – Fall 2010

Quiz – Friday, November 12, 2010

We will be having a review in class every day until the next midterm exam on Wednesday of next week. For this quiz, you are given 10 minutes to decide which problems you think you can solve and which ones you want to see solved during our review session today.

1. If , , , , and , calculate

Solution: Using L'Hopital's rule we have

2. Find the first four nonzero terms of the Taylor series about 0 for the function

Solution: Notice that

Since this is a binomial series with we will expand this series and then integrate it term by term to obtain the series that we need. We have

Now integrate term by term and find

Since we're only looking for the first four terms, we're done.

## Midterm 3 Review

The attached file is a review for the third midterm. Many thanks to instructor Anca Radulescu for typing up solutions.

## Book Assignment 12

Due Date:
Monday, November 15, 2010 - 16:00

Section 12.2: problems 16 and 24
Section 14.1: problems 18 and 19