Math 10120 - Finite Mathematics
Spring 2018, Section 01
Instructor: David Galvin
NOTE: all course policies announced here are subject to change up to the first day of semester!
About the course
The course is broadly about chance and strategy.
We begin with probability, the mathematical language that allows us to talk precisely about experiments involving chance. We start with an exposition of some useful and efficient techniques for counting. Next we apply these techniques to the calculation of probabilities or the chances of various events occurring. Finally, we do a little bit of statistics: making sensible inferences about a whole population, when all we have to work with is information about a small sample.
We then move on to optimization, the study of what choices you should make to maximize some payoff (or minimize some payout), when various constraints are placed on the choices that you get to make. We start by examining systems of linear equations and their solutions. We then look at optimization problems, which involve getting the most out of limited resources. Often such problems can be reduced to solving systems of linear equations.
We end with some game theory, or the mathematics of strategy. When you play a game with other players, you want to maximize your return, or minimize your loss, but you have to keep in mind that your opponents also have the same objectives. We use matrices, optimization and probability to find optimal strategies for some games.
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Basic information
- Meeting times: Monday, Wednesday, Friday, 2.00pm to 2.50pm, DeBartolo Hall 140, January 17 to May 2.
- Instructor: David Galvin, 132 Hayes-Healy (dgalvin1 at nd.edu). Note that both Sakai and WebAssign offer ``contact the instructor'' options, but you will have no success getting in touch with me through either of those means, as I don't check either with any regularity. I do, however, respond quickly to email sent to my nd.edu address.
- Office hours:
- Wednesday: 3pm-4pm (right after class), 132 Hayes-Healy
- Thursday: 1pm-2pm, 132 Hayes-Healy.
- Tutorial times (see below):
- Sunday: 6pm-8pm, 117 Hayes-Healy
- Monday: 4pm-6pm, 231 Hayes-Healy
- Tuesday: 4pm-6pm, 313 De Bartolo
- Wednesday: 6pm-8pm, 117 Hayes-Healy
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Tutorial
Four times weekly throughout the semester, there will be (voluntary) two-hour tutorials led by Nick Rosshirt (nrosshir at nd dot edu) and Nic DeBickero (ndebicke at nd dot edu). Locations and times of the tutorials are as follows:
The tutorials are a great opportunity to ask questions about anything in the course that is causing you trouble.
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Textbook options
We will cover material from the book
Finite Mathematics, 8th Edition, Rolf (Hybrid Edition with access to online homework).
You may either
purchase a hard copy of this book along
with access to the e-book and online homework
or
purchase access to the online homework system
and use the e-book that comes with it for reference.
Specifically, you have four purchasing options:
- Direct from publisher: Hybrid book with access to online homework and e-book, $237.95. The link is here.
- ND Bookstore, option 2: Single Term Access code for online homework and e-book (Enhanced WebAssign Access), $96. The link is here. (This is the ``Recommended Materials'' option on the ND bookstore website; it is the most economical option if you are happy to use an ebook.)
- ND Bookstore, option 1: Hybrid book with access to online homework and e-book (new), $259.75. The link is here. (This is the ``Required Materials'' option on the ND bookstore website, but is not strictly speaking required; all that is required is the WebAssign access.)
- Improvisational option: You may also purchase an access code online through WebAssign after you register for online homework, about $100 (this was the cost last spring). This includes an electronic copy of the book. If you also want a hard copy you can easily purchase a second-hand copy online fairly cheaply. Keep in mind that used copies of the hybrid book will not have an access code, since access codes are not transferable. You may register for online homework as soon as semester starts (January 16) and you have until January 30 to purchase and enter an access code before your account (and whatever homework you have completed to date) is erased.
Note that all options include access to WebAssign --- this is absolutely necessary.
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Weekly schedule
We will cover the following sections of Rolf's book, in the order listed:
- Sections 6.1, 6.2, 6.3, 6.4, 6.5, 6.6, 6.7
- Sections 7.1, 7.2, 7.3, 7.4, 7.5, 7.6
- Sections 8.1, 8.2, 8.3, 8.4, 8.5, 8.6, 8.7
- Sections 3.1, 3.2, 3.3
- Sections 9.1, 9.2
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Assessment
You will be marked out of 600 points, with the specific breakdown as follows:
- Homework, 100 points: There will be online homework assigned for each section of the text that we cover, usually made available just before we cover the section, and due a few days after we finish it. The online homework system is WebAssign, and you must purchase assess to the WebAssign system to complete the homework (see below for more information). The homework for Section 6.1 will count for 0 points (to allow you some false starts getting used to the system!); after that, each homework will count, equally weighted, towards the 100 point total.
- Quizzes, 50 points: There will be six ten-minute in-class quizzes during the semester, which will each count, equally weighted, towards the 50 point total. Dates for the quizzes, and information about the material being covered, will be announced in class a few days before each quiz.
- Mid-semester exams, 300 points: There are three mid-semester exams for this course. These have been scheduled by the registrar's office as follows:
- Thursday, February 8, 8am-9.15am
- Thursday, March 8, 8am-9.15am
- Thursday, April 19, 8am-9.15am.
Each will count, equally weighted, towards the 300 point total. Specific information about each mid-semester exam, such as exactly what material will be covered, where it will be held, and what to do in the case of a conflict with another class or exam scheduled at the same time, will be announced in class a week or so before each one.
- Final exam, 150 points: The (cumulative) final exam for this course will take place as follows:
- Tuesday, May 8, 1.45pm-3.45pm.
Specific information about the final exam, such as where it will be held, and what to do in the case of a conflict, will be announced in class during the final week of the semester.
Your marks on each of these components will be periodically updated on Sakai.
A total of 570 out of 600 points will earn you an A; 550 will earn you an A-; 530 a B+; 505 a B; 480 a B-; 455 a C+; 430 a C; and a total of 410 out of 600 points will earn you a C-.
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Late assignments
All homework must be done by the due date to receive credit, and all quizzes and exams must be taken at the assigned times.
I will not consider requests for homework extensions --- the online homework system gives ample time after each section has been covered to complete each assignment, so if you have to be off-campus, I expect that you manage your travel time in such a way that you can complete your assignments in a timely manner, and if you have computer problems I expect you to go to a computer cluster on campus to complete your online homework.
I will not consider requests for make-up quizzes and/or exams, except in the case of legitimate, university-sanctioned conflicts. It is your responsibility to let me know the full details of these conflicts before they cause you to miss an assignment! Excepting university-sanctioned conflicts, it is your responsibility to be in class for all scheduled lectures and mid-semester exams; in particular, you should not plan travel on the morning of any of the Thursdays on which mid-semester exams are scheduled.
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WebAssign/Homework information
We are using WebAssign for online homework; there will be no paper homework.
- Getting started with WebAssign: The first thing you must do to use WebAssign is to enroll yourself in the class.
- Go to WebAssign.
- Under the "STUDENTS" tab select "I have a class key".
- Enter the class key "nd" (first box) "5520" (second box) "1933" (third box) (no quotes in the class key).
- Verify that you are enrolling for "MATH 10120 --- Section 001".
- If you already have a WebAssign account, you can now log on to WebAssign with your WebAssign user name and password (not your ND user name and password!), and you will have immediate access to the class.
- If you don't yet have a WebAssign account, you can now create one, with a user name and password of your choosing; then when you log in to WebAssign you will have immediate access to the class.
- Using WebAssign: The first assignment you will see when you enroll and login is entitled Entering Answers in EWA, and takes you through all the features of WebAssign that you should be aware of. The next assignment you will see is entitled Finite Mathematics Section 6.1 Sets; this is the first actual course assignment, and becomes visible early on the morning of Wednesday January 17, due early on the morning of Wednesday January 24. It counts for 0 points (to allow you to get used to the system), but you should still complete it since it is on examinable material. In general, new assignments will become available on the morning of the lecture on which we begin the section, and will be due one week later. You are responsible for noting the exact due dates for each assignment!
- Getting help: WebAssign has many built-in help tabs that you should use if you have any problems; you should also look over the following quick-start guide. You can also bring up any WebAssign problems you have with me during office hours or after class.
- The access code: You must purchase an access code for this course (it comes with any of the book options listed above). You will only get free access to WebAssign until January 30; by then you will have to have entered your access code to ensure that you can continue using WebAssign.
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Quizzes
Quiz 6, Monday April 30, solutions.
Quiz 5, Monday April 16, solutions.
Quiz 4, Wednesday March 28, solutions.
Quiz 3, Monday March 5, solutions.
Quiz 2, Friday February 23, solutions.
Quiz 1, Monday February 5, solutions.
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Exams
The final exam is set for Tuesday, May 8, 1.45pm-3.45pm and it will take place in Hayes-Healy 117 (not the same room as for the midterms, but the same building).
Review material:
Office hours/review sessions:
- Galvin's office hours, Friday 3.45-5pm, Hayes-Healy 132
- Galvin's review session (open to all), Saturday 3.30-5pm, Hayes-Healy 117
- Basit's review session (open to all), Sunday 3.30-5pm, Hayes-Healy 117
- Office hours Monday, Tuesday TBA
Exam 3, Thursday, April 19, 8am-9.15am, Hayes-Healy 231.
Exam 2, Thursday, March 8, 8am-9.15am.
Exam 1, Thursday, February 8, 8am-9.15am.
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Supplementary material
Here is where I will post any supplementary material for the course.
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Conduct
Honor code: You have all taken the Honor Code pledge, to not participate in or tolerate
academic dishonesty. For this course, that means that although you may discuss homework assignments
with your colleagues, you must complete each WebAssign assignment yourself, all work that you present in quizzes and exams must be your own, and you will adhere
to all announced exam policies.
Class conduct: The lecture room should be a place where you should feel free to engage in
lively discussion about the course topic; don't be shy! But non course related interruptions should
be kept to a minimum. In particular, you should turn off or switch to silent all phones, etc.,
before the start of class. If for some good reason you need to have your phone on during class, please
mention it to me in advance.
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