MATH 210-01
Foundations of Mathematics
Syllabus for Fall 2010
Section 1: Mon, Tues, Wed, Fri, 2:00 –
2:50pm
Section 2: Mon, Tues, Wed, Fri, 1:00 – 1:50pm
325 Gildemeister Hall
Prerequisite: MATH 160 or a qualifying score on the mathematics placement exam
About This Course: Mathematics has two sides to it. The first side, sometimes called Computational or Applied Math, is one that you’re probably very familiar with. Almost all the classes you’ve taken so far have mainly focused on how to get an answer, whether it is a number, function, or an equation. This is the side of math that usually appeals to Engineers, Physicists, and other physical scientists who are looking for answers in the “real world.” The other side of mathematics is sometimes called Theoretical or Pure Math. In this area of mathematics the focus is on using deductive logic to construct and communicate sound, rigorous arguments while striving for abstraction and the recognition of underlying structure. This area of mathematics is beneficial to those who wish to study Law, Philosophy, Art, or, of course, higher Mathematics. MATH210 is meant to be an introduction to Pure Math and a precursor to the other Pure Math courses in the curriculum (specifically MATH330 and MATH440). In this course we will create a sound logical foundation “underneath” a lot of concepts (e.g. equivalences, functions, relations, numbers, etc.) with which you may already be familiar.
Expectations: Students who complete this course with a passing grade are expected to be able to demonstrate the following skills: (i) Mastery of prerequisite material, (ii) Perform logical computations and set manipulations, (iii) Demonstrate knowledge (i.e. memorization) of pertinent definitions and theorems, (iv) Reason deductively in a variety of forms, (v) Communicate mathematics correctly, clearly, and concisely.
Text: A
Transition to Advanced Mathematics
by Smith, Eggen, St. Andre, (7th ed)
Course Website: http://course1.winona.edu/eerrthum/math210
Instructor: Dr. Eric Errthum Office: 124A Gildemeister Hall
Winona Email Username: eerrthum Office Phone: 474-5775
Office Hours: See schedule on my home page. Or by appointment on any day.
Grading:
Reading Quizzes (36
quizzes scaled, drop lowest 3) 150
points------ 15%
Quizzes (6 @ 25
points) 150
points------ 15%
Homework (scaled as
needed) 300
points------ 30%
Midterms (2 @ 100
points) 200
points------ 20%
Final 200
points------ 20%
-------
1000
points total
Grades: A = 90% (900 pts), B = 80% (800 pts), C = 70% (700 pts), D = 60% (600 pts). There will be no curving of individual exams, quizzes or assignments.
Reading Quizzes: Before every lecture, you are expected to complete a short (5 question) quiz on the assigned readings. You can find these quizzes by logging onto WeBWorK with your WSU username as your login (using all lowercase letters) and math210 as your password (feel free to change your password after logging in by clicking the “Password/Email” link to the left). Page numbers for the readings can be found in the schedule below. Reading quizzes are due AT NOON on the day of the class covering the material. There will be NO EXTENSIONS or MAKE-UPS. Your lowest 3 quiz scores will be dropped from your grade.
Quizzes: We will have 6 (approx. 25-minute) quizzes, one after each chapter. Each quiz will count for 25 points.
Homework: Homework will be assigned almost daily even if it is not specifically announced in class. See list of problems and due dates in the schedule below. There is a lot of homework assigned and that’s not because I’m trying to be mean. The most common thing in all of mathematics – I do it myself, as does every other mathematician I know – is to see somebody else doing a problem and say, “Yes, yes, of course. I understand completely,” and then walk away and realize that we had no idea at all what was going on. Homework is your guard against this. If you really understand how to do the homework, you're generally in pretty good shape. If you can't, you've got plenty of time to figure it out, ask me, ask a friend, or take whatever other action you see fit.
It is wise to work on the homework as it is assigned, for a couple of reasons. First, there will be enough of it that it will not be practical to just sit down and do the whole week's worth in an evening. Second, some individual problems will have to be thought about, played with, put down, and revisited. You must allow time for this. Third (and most importantly), the material builds on itself, so that a few days without working through at least some of the problems may find you feeling a little lost.
One of the main goals of this course is to improve your ability to communicate mathematics. Before you dive into the homeworks, I strongly advise reading the document “Writing Guidelines for All Assignments” so that you know what is expected of you.
Except for the first two sections, all homework assignments will be composed of two sections. The first section is ungraded, suggested problems for which there are solutions available in the back of the book. You are strongly encouraged to do and understand these problems, but do not hand them in. Also, a word of warning, the answer given in the back of the book may not be considered a full solution by the instructor. The second section is a list of either book problems or a pdf of problems whose solutions are to be typed up in LaTeX using the homework template and handed in as a clean print-off. A variety of LaTeX resources can be found by clicking here.
Homework Reviews: Depending on whether the software gets completed in time for this semester, there may or may not be Homework Reviews in addition to the homework below. If so, these will be counted as a portion of your “Homework” points. The instructor will make an announcement in class when/if this is going to happen.
Exams: There will be two in-class exams and one comprehensive final exam. Exam dates are tentative until officially announced in class. The final exam is scheduled for Wednesday, December 8, 6:00pm – 8:00pm. Note: This is NOT the standard time for the final exam listed on the Registrar’s webpage.
Warning to those for whom English is a second language One of the main aspects of this course is the ability to communicate very precisely. Since this course is being offered in English, this means that you must be able to correctly use the English articles “a” and “the”, form negations, and use prepositional phrases. If you are having difficulties with the course due to a language barrier, please talk to the instructor about it.
Resources: You are encouraged to visit me in my office (see schedule on my home page, or by appointment on any day) or e-mail me. Also, there is tutoring available in the Math Achievement Center on the first floor of Gildemeister Hall from 10am-3pm on Mondays through Friday and 5pm-7pm on Monday through Thursday. Beware: some of the tutors may not have had this class yet or had it with a different instructor using a different text, or possibly struggled in this class as well. To be more explicit: This might be a hard class for some of you. I'd like to see all of you do well in it. I'd love to talk with you and to help you in any way that I can.
Desire2Learn: Some course materials can be found on D2L including solutions to homeworks, activities, quizzes, and exams and approximate grades. If at any point during the semester you would like to know your exact grade, please email the instructor.
Late/Missed Work: Late homework or missed quizzes will result in a score of zero. Make-up quizzes and make-up exams will be given at the discretion of the instructor. If you miss class, it is your responsibility to obtain notes and assignments from fellow students. If you have an unavoidable absence, please inform the instructor beforehand.
Academic Dishonesty: All students are required to sign the “Academic Dishonesty Statement”. Any type of academic dishonesty (cheating, copying, using a solutions manual to do homework, copy-and-pasting answers from a friend, etc.) will result in a zero on the whole assignment and will be reported to school authorities as necessary. As this is largely a writing class, copying solutions from any source is both plagiarism and cheating. If you are having trouble, please see the instructor. You are allowed to work with others on your homework, but at the end of the day you must write your solutions in YOUR OWN WORDS.
Note: This syllabus is subject to change if deemed necessary by the instructor.
Tentative Schedule of Events – Math 210
(subject to change)
|
Week |
Monday |
Tuesday |
Wednesday |
Friday |
|
8/23 |
Introductions 1.1 Propositions and Connectives HW: Go to the “Getting
Started with LaTeX” page |
READ: pp. xii-xviii, 1-4 BRING YOUR
LAPTOPS
HW: LaTeX Assignment |
READ: pp. 4-7, 9-13 1.2 HW 1.1 (pg 7): |
READ: pp. 13-15 Due:2e, 4d, 5g, 7d, 12d, 16i, 17a
|
|
8/30 |
LaTeX Assignment Due |
READ: pp. 18-23 1.3 HW 1.3 (pg 25): Suggested: 1ahjm, 2ahjm, 9bd Due: 1e, 2e, 7a, 9c |
READ: pp. 23-25, 27-32 HW 1.4 (pg 37) Suggested: 1a, 4a, 5h, 6d,
7bdgi, 11acd |
READ: pp. 31-36 |
|
9/6 |
NO CLASS |
READ: pp. 40-46 HW 1.3 & 1.4 Due 1.5 HW 1.5 (pg 46): Suggested: 1ace, 3ae, 6b Due: 1d, 3f, 5b, 7b, 11, 12acd |
READ: pp. 48-55 HW 1.6 (pg 57): Suggested: 1acf, 4hi, 6cgh,
7abdi Due: 1bg, 3, 4d, 6ij, 7ceh |
|
|
9/13 |
READ:
pp. 54-56, 60-65 HW 1.7 (pg 65): Suggested: 1adegh, 23b Due: 2a, 3c, 7a, 23acdef |
HW 1.5 – 1.7 Due Question & Answer Period Chapter 1 QUIZ |
READ: pp. 71-77 2.1 HW 2.1 (pg 77): Suggested: 1c, 5acegik, 6ac,
11, 15aeg, 17acegik, 19cehi Due: 5bdfhl, 6bd, 7, 15bcdfh, 17bdfhjl, 19abdfg |
READ: pp. 79-84 HW 2.2 (pg 86): Suggested: 1acegi, 2bdh, 6a,
9ac, 11ace, 15a, 19abdei Due: 1j, 2f, 6e, 9be, 11df, 16a, 17, 18b, 19cfgh |
|
9/20 |
READ: pp. 84-85, 89-92 |
READ: 92-95 Suggested: 1acegip, 6a, 9a,
15c, 18abe Due: 1hk, 6b, 9b, 15d, 16b, 18cd |
READ: 100-104 |
HW 2.1 – 2.3 Due 2.4, cont. |
|
9/27 |
READ: pp. 104-109 HW 2.4 (pg 109): Suggested: 6a, 7bi, 8acg,
13abe Due: 6dfj, 7f, 8e, 13cdf |
READ: pp. 114-119 HW 2.5 (pg 120): Suggested: 6b, 12b, 13b Due: 2, 3a, 11b, 13acd |
Question & Answer Period Chapter 2 QUIZ |
HW 2.4 – 2.5 Due |
|
10/4 |
EXAM I |
READ: pp. 135-139 HW 3.1 (pg 144): Suggested: 2ace, 5bd, 15abd Due: 1abc, 2dg, 5e, 15cefg |
READ: pp. 139-143 |
READ: pp. 147-151 HW 3.2 (pg 153): Suggested: 1ael, 5dg, 10c,
13b, 19f Due: 1ik, 5cf, 10d, 13c, 19abd |
|
10/11 |
READ: pp. 151-153 |
Worksheet (Creation of the Rationals) |
HW 3.1 – 3.2 Due 1pm Session: Exam I Solutions 2pm Session: Stark
103 for Speaker |
READ: pp. 157-161 HW 3.3 (pg 161): Suggested: 3b, 6bd, 15d Due: 3a, 6c, 10ab, 15abc |
|
10/18 |
HW
3.3 Due Chapter 3 QUIZ |
READ: pp. 185-191 HW 4.1 (pg 191): Suggested: 3ad, 6a, 11be,
19cd Due: 3e, 6a, 11cd, 19abe |
READ: pp. 195-202 HW 4.2 (pg 202): Suggested: 1acei, 5ace, 13,
20a Due: 1fj, 5f, 10, 15a, 20bcd |
HW 4.1 & 4.2 Due HW 4.3 (pg 210): Suggested: 1ack, 2ack, 11a,
14abd Due: 1df, 2df, 5, 11b, 14ceghi |
|
10/25 |
READ: pp. 213-218 4.4 HW 4.4 (pg 218): Suggested: 3b Due: 1a, 3c, 7a, 10ab |
Infinite Bijections Activity |
READ: pp. 220-223 4.5 HW 4.5 (pg 223): Suggested: 2c, 8a, 10ad, 18a Due: 2d, 8b, 10ef, 16, 18bc |
HW 4.3 – 4.4 Due |
|
11/1 |
HW 4.5 Due Question & Answer Period (Chapter 4 only) Chapter 4 QUIZ |
EXAM II |
READ: pp. 233-237 HW 5.1 (pg 240): Suggested: 2acef, 6a, 10, 21b,
22b Due: 2bdglm, 6b, 18ab, 21a, 22acd |
Exam II Solutions |
|
11/8 |
READ: pp. 238-240, 242-245 HW 5.2 (pg 249): Suggested: 3ae, 4abd, 8abcd,
12acd Due: 3g, 4g, 12befg |
READ: pp. 245-248 |
READ: pp. 251-257 HW 5.3 (pg 257): Suggested: 7, 11, 15a Due: 3, 9ab, 12abc, 15bcd |
READ: pp. 259-266 HW 5.1 – 5.3 Due HW 5.4 (pg 266): Suggested: 5b, 17bd Due: 3, 5d, 7, 15c, 17ac |
|
11/15 |
HW
5.4 Due Chapter 5 QUIZ |
READ: pp. 275-280 HW 6.1 (pg 280): Suggested: 15ac, 16bd Due: 9a, 14c, 15b, 16ac |
READ: pp. 283-289 HW 6.2 (pg 289): Suggested:1c, 23bc Due: 1d, 9ab, 12, 23ad |
Group Activity |
|
11/22 |
READ:
pp. 163-170 HW 3.4 (pg 170): Suggested: 1ac, 20b Due: 1d, 6, 20a |
READ: pp. 225-230 HW 4.6 (pg 230): Suggested: 5acf, 8a, 10b Due: 5be, 8bc, 10a |
NO CLASS |
NO CLASS |
|
11/29 |
HW 3.4 & 4.6 Due |
READ: pp. 316-321 HW 7.1 (pg 321): Suggested: 3aceg, 21a Due: 3b, 5a, 20hgci, 21bcde |
HW Construction of Reals
& 7.1 Due Chapter 6 & 7.1 & 3.4 & 4.6 QUIZ |
Final Review |
Final Exam
Wednesday, December 8
6:00pm – 8:00pm
Pasteur 237
Welcome to college math!
If this is your first math class taken in college, there are some important things you need to know. College math classes are run very differently from high school math classes. On the surface it may seem they are similar as you listen to the lecture and take notes, but there are significant underlying differences. Knowing these ahead of time can help you make the most of this coming semester.
#1: College math classes generally stay on the schedule in the syllabus. If there is one day allotted to the topic that is probably all of the class time that will be spent on it, even if “most” of the students “don’t get it.”
#2: It is expected that you will read the text and do the problems in order to learn the material, even if no one checks up on you. The instructor might never collect the homework, but that doesn’t mean it doesn’t affect your grade.
#3: You will sometimes be responsible for material in the textbook that is not covered in class. If there is a text reading and/or homework problems covering a concept that was not discussed in class, you are still expected to learn it. If you don’t understand it, make an appointment with your instructor for help.
#4: Some material is covered only in class, is not in the textbook, and may not have any homework problems on it. If you miss class, you may miss content that you are responsible to know. If you have an unavoidable absence, be sure to get the notes and any announcements from a classmate.
#5: There will be test questions that don’t look “just like the homework.” In college, you are expected to focus on learning the concepts, not just memorizing how to do certain types of problems. These concepts can – and will – appear in very different forms on tests and quizzes.
#6: At times you will be expected to be able to explain why a problem is done a certain way in addition to being expected to do the problem. As you work on problems in class and on homework, don’t be satisfied with getting the correct answer; ask yourself why that method is logical, and how you could explain that logic to someone else.
#7: Most importantly, you are responsible for your own learning. If you attend class faithfully, get the notes and announcements if you have an unavoidable absence, read the text, do the homework and question yourself (as in #6), and still don’t understand something, it is up to you to get the extra help you need. Visit the instructor during office hours or make a special appointment to ask questions, form a study group, etc. There are many resources and people willing and happy to help, but you need to take the initiative and seek out the help you need.
Good luck on a happy and successful semester!
Commitment to Inclusive Excellence: WSU recognizes that our individual
differences can deepen our understanding of one another and the world around
us, rather than divide us. In this class, people of all ethnicities, genders,
religions, ages, sexual orientations, disabilities, socioeconomic backgrounds,
regions, and nationalities are strongly encouraged to share their rich array of
perspectives and experiences. If you
feel your differences may in some way isolate you from WSU’s community or if
you have a need of any specific accommodations, please speak with the
instructor early in the semester about your concerns and what we can do
together to help you become an active and engaged member of our class and
community.
·
Student
Support Services, Krueger Library 219, 457-5465 (www.winona.edu/studentsupportservices/)
·
Inclusion
and Diversity Office, Kryzsko Commons Room 122,
457-5595 (www.winona.edu/culturaldiversity/)
·
Disability
Services, Maxwell 314, 457-2391 (www.winona.edu/disabilityservices/)
·
Counseling
Center, Integrated Wellness Center 222, 457-5330 (www.winona.edu/counselingcenter/)
·
Writing
Center, Minné Hall 348, 457-5505 (www.winona.edu/writingcenter/)
·
Math
Achievement Center, Gildemeister 135, 457-5370
·
GLBTA
Advocate*, 507-457-5330
·
Advising
and Retention, Maxwell 314, 457-5878 (www.winona.edu/advising/)
·
Two
good places to help you find resources of all kinds on campus are Student
Support Services and the Inclusion and Diversity Office. Both offices are dedicated to helping
students of all races, ethnicities, economic backgrounds, nationalities, and
sexual orientations. They can facilitate
tutoring and point you to a wide range of resources. Student Support Services is in Krueger
Library 219, and they can be reached at 457-5465. The Inclusion and Diversity Office is in Kryzsko Commons Room 122, and they can be reached at
457-5595.
·
If
you have a disability, the Disability Services office can document it for your
professors and facilitate accommodation. Their office is in Maxwell Hall, 3rd
floor, and they can be reached at 457-2391.
If you have a documented disability that requires accommodation, please
let me know as soon as possible. If you suspect you may have a disability, you
are encouraged to visit Disability Services as soon as possible.
·
College
can be very stressful. The Counseling
Center is there to help you with a wide range of difficulties, ranging from
sexual assault, depression, and grief after the loss of a loved one to stress
management, anxiety, general adjustment to college, and many others. Their office is located in Wabasha Hall 220,
and they can be reached at 457-5330.
·
For
help with writing and the development of papers, the English department has a
Writing Center available to students and staffed by trained graduate students
pursuing their Master’s degree in English.
The Writing Center is located in Minné Hall
348. You can make an appointment on the
sign-up sheet on the door or call 457-5505.
·
For
help with understanding math concepts and solving problems, the Math
Achievement Center (MAC) is staffed with friendly undergraduate tutors who will
help you work through difficult material. The MAC is located in
Gildemeister 135 and provides free tutoring for all students in math,
stat, or math education courses. The center is open 10am-3pm Monday
through Friday, and 5pm-7pm Monday through Thursday.
·
The
GLBTA Advocate is responsible for documenting homophobic incidents on campus
and working with the appropriate channels to get these incidents resolved. In
addition, the advocate can direct people to GLBT resources on campus and in
Winona.
* Contact the
Counseling Center for the name and number of the current GLBTA Advocate
(Integrated Wellness Center 222,
457-5330).
The Standard Disclaimer
applies.