Instructor 
Contact Information (office, phone, email) 
Office Hours 
Lecture 
126 HayesHealy 17694 jdiller 
Tues 68 PM 
MWF 11:4512:35 HayesHealy 127 

Michael Gekhtman 
128 HayesHealy 17131 mgekhtma 
Mon 46 PM 
MWF 33:50 HayesHealy 117 
Brian Smyth 
110 HayesHealy 16279 smyth 
Mon 35 PM 
MWF 10:4011:30 DeBartolo 140 
Zhiliang Xu 
226 HayesHealy 13423 zxu2 
Mon, Wed 23 PM 
MWF 8:309:20 HayesHealy 129 
Teaching Assistant 
Contact Information 
Office Hours 
Tutorials 
Tiancong Chen 
215 HayesHealy 13107 tchen6@nd.edu 
Tues 79 PM 
22:50 HH 129 3:304:20 HH 117 
Xiaoyang He

215 HayesHealy 13107 
Tue 34 PM Wed 34 PM 
12:551:45 HH 129 3:304:20 Earth Sciences 101 
Gun Sunyeekhan 
253B HayesHealy 15459 

1111:50 HH231 22:50 Earth Sciences 101 
Textbooks: Linear algebra and its applications (3rd ed) by David Lay. Elementary Differential Equations and Boundary Value Problems (9th ed) by William Boyce and Richard DiPrima. Incidentally, you should be able to get by fairly well with the 8^{th} ed of Boyce and DiPrima, provided you have a look at the 9^{th} edition to see what's changed (e.g. homework problem #'s, and occasionally a section #).
What is linear algebra? Functions and equations that arise in the `real world' often involve many tens or hundreds or thousands of variables, and one can only deal with such things by being much more organized than one typically is when treating equations and functions of a single variable. Linear algebra is essentially a `language for accounting' that's been developed just for this purpose. We will learn methods for solving equations and ways of understanding their solutions that are very effective when the equations are what is called (of course) `linear'. In a kind of analogical way, we will even learn to `visualize' manydimensional situations.
What are differential equations? Many functions that come up in applications do so only in an indirect fashion. That is, rather than being told what the formula is for a function, one is given some (differential) equation relating the function to one or more of it's derivatives. For instance, a bank does not advertise a formula for the amount of money in a hypothetical account. Instead it advertises an interest rate, which is a way of saying how the amount of money in an account will change with time. The main goal in studying a differential equation is to glean information about the function it applies to. In simple situations one can actually use the equation to determine a formula for the function. In more complicated ones, one does not find a formula for the function but rather tries to answer a specific question about it, like `What happens to the function when the independent variable becomes large?'
What we'll cover: we'll spend roughly 2/3 of the semester on linear algebra, covering chapters 1 through 6 in Lay's book. The limited time frame will likely force us to stick to mathematics proper and prevent us from looking at sections dealing with applications of linear algebra. Nevertheless, when you find yourself wondering to yourself what all this is good for, I'd highly encourage you to look at some of the application sections. Linear algebra shows up nearly everywhere that math is used to model real world situations. The remaining 1/3 of the semester (and the entirety of math 325, should you take it) will be spent on differential equations. In this semester, we'll cover chapters 1 through 3 of Boyce and DiPrima.
How you will be evaluated:
Homework: assigned for each section covered in the textbooks. Homework for a given section is `assigned' as soon as I have finished lecturing on that section. Each Friday, I will pick up all homework assigned from the previous Friday through the previous Wednesday. Homework scores will count for 10% of your grade.
Midterm exams: there will be three of these, each from 89:15 AM:
Thursday, February 12; (last year's version)
Tuesday, March 17; (last year's version)
Thursday, April 16. (last year's version)
Each midterm will count for 20% of your grade. Diller's section takes all midterms in (tentatively) Jordan 101.
Final exam: (last year's version) Wednesday, May 6 from 1:453:45 PM, location TBA. The final will be comprehensive and count for 30% of your grade.