Math 104, Section 3
Instructor: Chris Hays
Office: DRL 4N34
Office Hours: T 12:00pm -- 2:00pm

Lecture: MWF 2:00pm -- 2:50pm, DRL A2

TA: Shanjit Singh Jajmann
Office Hours: MR 11:00am -- 12:00pm in DRL 3C17.

Midterm 1: Tuesday, October 1, 8:00pm -- 9:30pm in DRL A1
Midterm 2: Monday, November 4, 8:00pm -- 9:30pm in DRL A8
Final Exam: Tuesday, December 17, 9:00am -- 11:00am
Home   Syllabus   Calendar   Homework  
[16-Dec-13]

The exam will be in 101 Levine Hall, tomorrow (Tuesday the 17th) from 9am to 11am.
[14-Dec-13]

Here are answers for the review questions that I had posted previously.
[11-Dec-13]

REVIEW: We will be holding a review session tomorrow (Thursday) in A2 from 2pm to 4pm. Feel free to bring any questions.
Lastly, a number of you have requested that I post answers to the review questions. I will, but I might not be able to do that until this weekend.
[09-Dec-13]

As promised, here is a list of review problems for the exam.
Recall that old exams can be found here. Note that the more recent exams better reflect the final exam, since the course material has changed over time. In particular, probability (Section 8.8) is on the final, even though it is not covered in older exams.
[01-Dec-13]

In Wednesday's class, we looked at applications of differential equations. With that, we have finished covering all of the material for Math 104. Starting on Monday, we will be reviewing the material.
The final homework is available here. It is due on Friday, December 6.
[20-Nov-13]

In class, we examined Euler's Method for approximating values of solutions to differential equations (in 9.1). We then solved first-order linear differential equations (9.2). On Wednesday, we will cover Section 9.2 - applications of differential equations.
[20-Nov-13]

In class, we finished dealing with power series - we developed the binomial series. We then moved to Section 7.2, which deals with separable differential equations.
Lastly, the final homework will be posted within the next day. It will not be due until December 6.
[15-Nov-13]

Homework #9 is available here, and is due on Friday, November 22.
In today's class, we considered Taylor's Theorem - this determines when the Taylor series of a function converges to the function itself.
[13-Nov-13]

We considered Taylor series and Maclaurin series of functions - a method of constructing power series from a function. Note that the partial sums of Taylor series are supposed to serve as polynomials that approximate a function (near the center of the series). In particular, the Taylor polynomial of a polynomial is the original polynomial.
[11-Nov-13]

We began looking at power series (Section 10.7).
For the homework questions on page 623, look at the Practice Exercises (not the ``Questions to Guide Your Review'')
[08-Nov-13]

We continued dealing with alternating series. In particular, we examined how to determine when a given series converges absolutely or conditionally.
[06-Nov-13]

In class, we discussed alternating series, conditional convergence, and absolute convergence.
The exam 2 grades are now posted on Blackboard. The stats for the exam are:
 median: 54.61/80
 mean: 57/80
 standard deviation: 18.85
If you have any questions or concerns about the class/exam, please feel free to talk with me. The exams will be handed out on Friday.
Lastly, the next homework has been posted online. It is due Friday, November 15.
[30-Oct-13]

In class, we discussed the Ratio Test and the Root Test (for convergence of series). These are often easier to use than the Integral Test.
The following problems are of similar spirit to those that will be on the exam:
 Spring 2012 - 1,2I,8,9,10,11,15
 Fall 2012 - 12,13,15
 Spring 2011 - 5,6,8,11,12,13
 Fall 2010 - 2,4,6,11
 Spring 2010 - 6,7,8,14
 Fall 2009 - 2
 Spring 2009 - 4,5,8,18,19,20
 Fall 2008 - 8,10,11,14,16
Old exams can be found here.
Probabilty is a recent addition to Math 104. For this reason, it does not show up on the old exams (but will show up on your exams). So, you might also want to consider Section 8.8, numbers 1,3,5,7,25,27.
[28-Oct-13]

Exam 2 is this upcoming Monday (November 4) from 8:00 to 9:30. The exam will be held in DRL A-8.
Note that the homework covers sections 8.2-8.4,8.7,8.8,10.1-10.3. Additionally, therre may be examples that are more easily solved using methods discussed after 10.3.
In class, we finished our discussion of the Integral Test. Additionally, we introduced the Ratio Test.
[25-Oct-13]

We are still thinking about series. In particular, we looked at the Integral Test, the Direct Comparison Test, and the Limit Comparison Test.
Homework #7 is available here, and is due on Friday, November 1.
[23-Oct-13]

We are thinking about series. In particular, we have seen:
 The nth Term test can determine if a series can diverge, but not if it can converge
 The Integral Test can determine if a positive sequence converges
 The value of the corresponding integral is NOT the sum of the series
 We can use integrals to obtain bounds on the sum of the series.
[18-Oct-13]

We finished covering the introduction to sequences (10.1), and are now looking at series (10.2).
Homework #6 is available here, and is due on Friday, October 25.
[16-Oct-13]

We began looking at sequences. In particular, we studied the formal definition for convergence, and considered some examples.
[14-Oct-13]

We finished covering probability. The things to take away from today's lecture are: how to compute the mean, how to copmute the median, exponential probability density functions, and normal distributions.
[09-Oct-13]

First, note that Shan Jajmann has changed his office hours. His office hours are now on Mondays from 11:00 to 12:00 and on Thursdays from 11:00 to 12:00.
Homework #5 is available here, and is due on Friday, October 18.
We finished covering Section 8.7. In particular, we looked at the Direct Comparison Test and the Limit Comparison Test.
We also begain Section 8.8 - Probability. We defined random variables and probability density functions.
[07-Oct-13]

We began covering Section 8.7. This is concerned with computing ``improper integrals'', where the function in question is not necessarily defined at an endpoint (or the endpoints may be infinity). To solve these, we express the integral as a limit of integrals, compute these integrals, and then take the limit.
[04-Oct-13]

In class, we looked at Section 8.6, which discusses methods for approximating integrals. There is one part of the section that is relevant to the homework - Theorem 1 on page 490. This theorem gives error bounds for the estimates obtained using trapezoids or parabolas.
[02-Oct-13]

In class, we looked at Section 8.4. We computed antiderivatives if rational functions.
Homework #4 is available here, and is due on Wednesday, October 9.
[01-Oct-13]

Remember that the exam is today, starting at 8:00pm in DRL A1.
[25-Sep-13]

In class, we looked at Sections 8.2 and 8.3. In particular, we examined using trig identities to simplify certain integrals, well as using trig substitutions to get rid of square roots.
As was mentioned in class, Section 8.2 will not be on this exam. However, integrals involving trig functions that show show up in Chapter 6 and Section 8.1 are fair game.
[23-Sep-13]

Exam 1 is on Tuesday, October 1 from 8:00pm to 9:30pm. It is only covering sections 6.1-6.4,6.6,8.1 (it is no longer covering 8.2 as I mentioned in class).
The following problems are of similar spirit to those that will be on the exam:
 Spring 2012 - 6,11,12,13,14
 Fall 2012 - 1,2,3,4,8,13
 Spring 2011 - 1,2,3,4,5,9,10
 Fall 2010 - 1,3,5,7
 Spring 2010 - 1,2,3,4,5,9,10,11
 Fall 2009 - 1,3,4
 Spring 2009 - 1,2,3,7,16,19
 Fall 2008 - 2,3,7,10,12,18
Old exams can be found here.
In class, we continued looking at Section 8.2. In particular, we examined using trig identities to simplify certain integrals.
[20-Sep-13]

First note that Exam 1 is on Tuesday, October 1 from 8:00pm to 9:30pm. If you have a conflict, please let me know immediately.
In class, we looked at how to use Integration by Parts. If we can recognize the function that we're integrating as a product, this allows us to modify the integral (by taking the derivative of one of the terms, and the anti-derivative of the other) to one that is hopefully simpler.
Additionally, we started looking at trigonometric integrals (Section 8.2).
Lastly, Homework #3 is available here, and is due on Friday, September 27.
[18-Sep-13]

We finished looking at how to find the center of mass of a plate. We then began section 8.1 - integration by parts.
[16-Sep-13]

For the first order of business, the first midterm has been moved to Tuesday, October 1, starting at 8:00pm. If you have a conflict, please let me know.
In class, we derived the formulas for the center of mass of a plate. We will go through more examples next lecture.
[13-Sep-13]

Homework #2 is available here, and is due on Friday, September 20. In class, we covered the formula for the surface area of a surface of revolution.
[11-Sep-13]

We computed arc lengths of curves, and discussed the arc length function.
[09-Sep-13]

We covered examples of computing volumes using both cross sections and shells. Lastly, we derived the formula for the arc length of a curve.
[06-Sep-13]

We covered Section 6.2 - computing volumes using shells. To write down the corresponding integral when find the volume in this way, we simply need to find the radius (distance of a generic shell to the line that we're rotating about) and the height of the shell. There are many computations when this method leads to an easier integral than the ``cross section'' method.
[04-Sep-13]

We covered the remaining portion of Section 6.1 - computing volumes using cross sections when the cross section is a washer. Additionally, Homework #1 is available here, and is due on Friday, September 13.
[01-Sep-13]

This will serve as the class blog. I will post all announcements here, as well as homework and due dates. Additionally, I will as provide a quick summary of each class. Note that the expected sections that we will cover each class are listed on the calendar.