MATH 240 Introduction to Mathematical Thought
Fall, 2012 COURSE INFORMATION
TR 9:30 -10:50 A.M. ROOM: FOR 107
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Last updated: 8/20/2012
OFFICE: BSS 356
Office Hours (Tent.): : MF 12:15- 13:30 (BSS 356) AND BY APPOINTMENT or chance!
M 16:00-17:20 (BSS 313) T 16:00-17:20 (BSS 308)
PREREQUISITE: (will be Math110?) MATH 105 or
106 or 109 or math code 65. (or PERMISSION BASED ON OTHER
Mathematical reasoning, writing, and proofs; sets, functions, topics
in discrete mathematics, problem formulation, problem solving.
Keys to Advanced Mathematics : Recurrent Themes in
Abstract Reasoning by Daniel Solow (
Paperback, BOOKMASTERS,1995 )ISBN:9780964451902
|[FET] Proof in Geometry by A. I.
|[HOU] How to Think Like a Mathematician by
Kevin Houston (Cambridge University Press, 2009)
| [SOS] Set Theory & Related
Topics by Seymour Lipschutz
SCOPE: This course will provide a foundation for further
work in mathematics.This will be accomplished primarily by
informal but careful and rigorous exploration of key topics
related to mathematical reading, writing , and reasoning. The work
will include a discussion of many of the essential tools for any
mathematical discourse and problem solving: sets, functions, and
relations; problems and conjectures; evidence, proofs and
refutations; and direct and indirect arguments.
Several topics from discrete mathematics will provide additional
opportunities for using these tools.
Lectures will organize the topics to present materials not
covered in the texts as well as those treated in the texts. We
will cover material from Solow contained in chapters 1 to 3, 5.1,
and 6.2.4; selections from Fetisov, Houston- all chapters; and
Lipschutz chapters 1-6. Supplementary readings and materials
will be supplied as appropriate.
Summaries of lectures and presentations may be available
occasionally through the course webpage and Moodle.
Relevant Student learning
outcomes for the BA Programs in Mathematics
Outcome 1: (Competence in Mathematical Techniques) Students
demonstrate competence in the field of Mathematics, including the
1.3 The ability to read, evaluate, and create mathematical proof.
1.5 The ability to analyze the validity and efficacy of mathematical
Outcome 2: (Fundamental Understanding) Students demonstrate a
fundamental understanding of the discipline of mathematics,
2.2 The ability to apply knowledge from one branch of mathematics to
another and from mathematics to other disciplines.
2.3 The role and responsibilities of mathematicians and mathematical
work in science, engineering, education, and broader society.
Outcome 3: (Communication) Students demonstrate fluency in
mathematical language through communication of their mathematical
work, including demonstrated competence in
3.1 Written presentations of pure and applied mathematical work that
follows normal conventions for logic and syntax.
3.3 Individual and collaborative project work in which a project
question is described, methodology is discussed and implemented,
results are analyzed, and justifiable conclusions are drawn.
TECHNOLOGY: We may use the computer at various stages of
this course to illustrate and investigate some of the topics. No
particular software will be required..
TESTS AND ASSIGNMENTS:
We will use the HSU Moodle for access to information about the course-
announcements - materials, assignments, and some quizzes.
Proof Without Words: An explanation of an
alternate weekly proof without words will be
assigned to be done cooperatively by partnerships and due on
alternate Wednesdays [beginning August 29th. (Accepted
one day tardy at most!)
At most 3 persons per partnership.
Proof Analysis: Every other week students will
be expected to read at least one proof presented for analysis.These
will not be lengthy. A brief analysis responding to a list of
questions is to be submitted on Wednesdays [beginning Sept.
The proof analysis will cover briefly the techniques of argument
(direct, indirect, induction, etc.) and exposition (forward-backward
organization, reference to prior work, definitions, etc.) used
in presenting the result.
The proof analyses and proofs without words will be
graded Honors(4)/Good(3)/Credit(2)/Not Acceptable(1). (Accepted
one day tardy at most!)
Regular Homework: Shorter problem assignments (about 5-10
problems) will be made on a regular basis for each class.
assignments will not be accepted after 5 p.m. of the due
date and will be graded
Well-done (4), Good (3), Acceptable (2), Unacceptable(1)
Reality Check Quizzes: During the term I will give several
reality check quizzes. These will usually be available and
submitted on Moodle, covering work from the previous recent
assignments and class discussions.
Midterm Examinations: There will be two self-scheduled
mid-term examinations.These will be announced a week in
advance and will be worth 100 points each. There will also be a mid
term cooperative assignment worth 50 points.
FINAL ASSESSMENT: The final assessment will be in
two parts. Part I will be a partnership take home examination that
will be due on the last day of the final examination period.
AT MOST 3 PERSONS PER PARTNERSHIP! Part I will be
distributed on the Friday before the last week of classes.
II will be an individual self-scheduled 120 minute examination
given during the final examination period.
Any student may take Part II of
the Final during the scheduled time: TUES Dec. 11 10:20-12:10 (Forestry Bldg 107)
Part II of the FINAL EXAMINATION
WILL SELF- SCHEDULED. Also possible are-MON
Dec. 10 10:20-12:10 (Forestry
Bldg 107) and MON Dec. 10 12:40-14:30 (Harry Griffith Hall 226) .
Part I will be worth 100 points. Part II will be worth 150
points or 300 points according to the following rule:
The final grade will use the score for Part II of the final
that maximizes the average for the term based on all possible
GRADES: Final grades will be based on the accumulation of
points in the various categories of assignments as indicated in
the following chart:
** Active class participation during class work and activities
will be considered in deciding individual grades after a general
grade range has been assigned.
Assessment Part I
Assessment Part II
||150 or 300
||700 or 850
The total points available for the semester is 700 or 850.Notice
that only 500 or 650 of these points are from examinations, so
regular participation with more regular assignments and
quizzes is essential to forming a good foundation for your grades as
well as your learning. Though
final grades for the course are subject to my discretion, I will use
the following overall percentages based on the total number of
points for your work to determine the broader range of grades for
the course. A 85-100% ; B 70- 84% ; C 60- 69%
; D 50- 59% ; F 0- 49%
with Disabilities:Persons who wish to request
disability-related accommodations should contact the Student
Disability Resource Center in House 71, 826-4678 (voice) or
826-5392 (TDD). Some accommodations may take up to several weeks
to arrange. Student
Disability Resource Center Website. http://www.humboldt.edu/disability/
(If you are a student with a disability, please
consider discussing your needs and possible accommodations with me
as soon as possible.)
policy: See the University rules and dates related to the following:
- No drops will be allowed
without "serious and compelling reasons" and a fee after
- No drops allowed after this
- Students wishing to be
graded with either CR or NC should make this request
using the web registration procedures.
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