MATH 311-02, Fall 2014

This class has completed. Information on this web page may not be applicable to future semesters.

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Course information:

Instructor: Jake Wildstrom
Office: Natural Sciences Building 113
Primary office hours: Monday 11:00--13:00, Tuesday 14:30--15:30
Secondary office hours: Wednesday 15:30--16:30, Friday 12:00--14:00, or by appointment
Phone number: (502)852-5845 (x5845)
Lecture: TR 13:00–14:15 in Speed Hall 002
Prerequisites: MATH 205 or ENGR 101
Description: Introduction to abstract mathematics with particular attention to developing proof-reading and proof-writing skills. The basics of set theory, functions, relations, number systems, countability, sequences and their convergence, and the complex plane.
Textbook: A Transition to Advanced Mathematics by Smith, Eggen, and St. Andre, eighth edition (ISBN 978-1-285-46326-1).
Objectives: We will learn in this class how to read and write mathematics, and how to craft proofs. We will learn about the fundamental concepts of sets, relations, and functions, and the specific proof tools of direct implication, contradiction, and induction. We will apply our mathematical reasoning to results in set theory, number theory, and combinatorics.
Learning Outcomes: Student learning outcomes for this course include the practice and development of critical thinking skills, including: identifying the question or problem, analyzing evidence and developing arguments, and drawing conclusions based upon reason, arguments, and evidence.
Responsibilities: You are responsible for attending class daily and maintaining comprehension of the material presented in class. Short problems will be presented on a roughly daily basis, and posted online after class. You must complete all assigned problems promptly, and attend examinations on the scheduled dates. Extracurricular interaction with your fellow students, and with the instructor, will be very useful in developing your comprehension.
Special needs: Any scheduled absence during a quiz or examination, or any other special needs, must be brought to my attention during the first week of class. During a scheduled absence, you are expected to complete the daily assignments by e-mail. Absence due to unforseen emergencies will be dealt with on a case-by-case basis and must be documented.
Honesty: There are many resources available to help you succeed in this class, including consultation during office hours, secondary texts, and cooperation with other students. It is important, however, that all papers handed in be the result of your individual comprehension of the course material. Duplication of others' work is both a disservice to your own education and a serious violation of the university's academic honesty policy.
Grades: Daily problems will account for 30% of your grade, the three midterm examinations will each be worth 15%, and the final examination will be worth 25%. A 90% overall guarantees a grade of A–, 80% guarantees a B–, and 70% guarantees a C–.
Changes: The syllabus is subject to change. Changes will be announced in class and updated online.

Course schedule

This schedule is tentative and may not reflect our progress at any particular time in the class; treat this as a rough guide only.

Tuesday Thursday
August 26th
Section 1.1
August 28th
Section 1.2
September 2nd
Section 1.3
September 4th
Section 1.4
September 9th
Section 1.5
September 11th
Section 1.6
September 16th
Section 1.7
September 18th
Section 1.8
September 23rd
Section 2.1, 2.2
September 25th
Exam #1
September 30th
Section 2.3
October 2nd
Section 2.4
October 7th
Midsemester break
October 9th
Section 2.5, 2.6
October 14th
Section 3.1
October 16th
Section 3.2
October 21st
Section 3.3
October 23rd
Withdrawl date
Section 3.4
October 28th
Section 4.1
October 30th
Section 4.2, 4.3
November 4th
Section 4.4
November 6th
Exam #2
November 11th
Section 4.5
November 13th
Section 5.1
November 18th
Section 5.2
November 20th
Section 5.3
November 25th
Section 5.4
November 27th
Thanksgiving break
December 2nd
Section 5.5
December 4th
Exam #3
December 9th
Reading day
Friday, December 12th
Final exam, 14:30–17:00

Daily problems:

Solutions to the daily problems should be written in full sentences; while symbolic expressions can be used, they should be connected by written exposition. Solutions should be legible and grammatical, and are due at the beginning of class.

You may find it useful to type your solutions, although doing so is not necessary. In preparation for future mathematical studies, you may find the LaTeX mathematical typesetting tool to be well worth learning; to assist in that process if you elect to do so, a template will be provided for you to write your solutions. For help using LaTeX, please visit Dr. Wildstrom during office hours.

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