MA 341 Topics in Geometry
Course Syllabus
Course Syllabus
Fall Semester 2017
MWF 11:00 – 11:50
CB 341
1 Instructors
Prof. Richard
Carey
Office:
POT 965
E-Mail
richard.carey@uky.edu
Phone:
(859) 257-3745
Office
Hours: MW 3:15-4:15 and by appt.
Euclidean and Non-Euclidean Geometries; Development and History. 4th edition
Taken from Math Reviews:
The book gives an account of the discovery of non-Euclidean geometry and the subsequent rebuilding of the foundations of Euclidean geometry. It is written for three kinds of readers prospective high-school teachers (presented with a rigorous treatment of the foundations of Euclidean geometry and an introduction to hyperbolic and elliptic geometries, liberal arts students (introduced to the history and philosophical aspects of the subject), mathematics majors (who are given challenging exercises and a historical perspective).
The author uses modified versions of Hilbert's axioms. Following Tarski, he replaces the general (Dedekind's) axiom of continuity by two \elementary" specializations of it. Dedekind's axiom itself is used only in the treatment of hyperbolic geometry (to prove the existence of limiting parallel rays). A specific feature is that new results are developed in the exercises and then used in subsequent chapters. This ensures the reader's activity and his genuine understanding. Some exercises consist of philosophical
or historical essay topics. A few reasonable innovations in terminology are implanted or newly introduced: \neutral geometry" (to replace the traditional term \absolute
geometry"), \asymptotic" and \divergent" for two kinds of parallels in hyperbolic geometry. A well classified bibliography (74 items), as well as a collection of expressive portraits (Legendre, Hilbert, Lambert, Gauss, Lobacevski, Beltrami, Klein, Poincare, Einstein, Godel, Riemann), enrich the contents of the book.
3 Material: Chapters 1 through 6, some material will be omitted. We will also study portions of 7 and 8.
4 Grading: The course grade will be computed (with 90-100% A, 80-89% B, 70-79% C,60- 69% D, 0-59% E) on the basis of 435 points earned as follows:
2 take-home exams 100 points each
quiz /
homework 100 points
take- home final 135 points
Exams will be allowed approximately nine days to submit.
Exam 1 around October 7, Exam 2 around Nov 7.
Exams will be allowed approximately nine days to submit.
Exam 1 around October 7, Exam 2 around Nov 7.
5 Attendance: Grading for the course will be influenced by class attendance. You will be allowed 4 unexcused absences, then for every missed class after that you will lose 10 points from the possible 435. I will let you know when roll begins.
6 Makeups: Individuals who miss a quiz or an exam will be given a zero unless they have an official excuse. Makeup quizzes or exams will be permitted only for excused absences makeups will be given during \dead week", that is, the last week of classes.
Faculty Senate Rule 5.2.4.2 defines acceptable reasons for excused absences to be:
(a) serious illness, (b)
or death of family member, (c) University-related trips,d) major
religious holidays, and (e) other circumstances found as reasonable
cause for nonattendance" by the professor. As required by University rules,
you must present full documentation in order to request makeup work for a
valid absence. Senate rule 5.2.4.2 states that faculty have the right
to request appropriate verification when students claim an excused
absence because of illness or death in the family. Appropriate
notification of absences due to University-related trips or a major
religious holiday is required no later than 7 days prior to the absence.
7 Cheating: Don't do it. It is an extremely serious offense. As a minimum response, I will give a zero to the offender.
8 Plagiarism: Plagiarism includes copying from outside sources, including internet sources. If charged, at minimum you will receive a zero. Maximum penalties include being suspended, dismissed or expelled from the University. For further information, consult the Faculty Senate rules.
10 UK Senate Policies
Student Learning Outcomes (Arts & Sci.; Creativity Requirement):
Here’s what you will be able to do upon completing this class:
1. Define and distinguish among different approaches to geometry.
2. Demonstrate the application of logic, laws, and constraints
3. Demonstrate the ability to critically analyze work produced by other students.
4. Recognize the essential importance and significance of posing your own questions/problems.
Mid-term Grades
Mid-term grades will be posted in myUK by the deadline established in the Academic Calendar (http://www.uky.edu/registrar/content/academic-calendar)
Excused Absences (boilerplate):
Students need to notify the professor of absences prior to class when possible. S.R.
5.2.4.2 defines the following as acceptable reasons for excused absences: (a) serious illness, (b) illness or death of family member, (c) University-related trips, (d) major religious holidays, and (e) other circumstances found to fit “reasonable cause for nonattendance” by the professor.
Students anticipating an absence for a major religious holiday are responsible for notifying the instructor in writing of anticipated absences due to their observance of such holidays no later than the last day in the semester to add a class. Information regarding dates of major religious holidays may be obtained through the religious liaison, Mr. Jake Karnes (859-257-2754).
Students are expected to withdraw from the class if more than 20% of the classes scheduled for the semester are missed (excused or unexcused) per university policy.
Verification of Absences (boilerplate)
Students may be asked to verify their absences in order for them to be considered excused. Senate Rule 5.2.4.2 states that faculty have the right to request “appropriate verification” when students claim an excused absence because of illness or death in the family. Appropriate notification of absences due to university-related trips is required prior to the absence.
Academic Integrity (boilerplate):
Per university policy, students shall not plagiarize, cheat, or falsify or misuse academic
records. Students are expected to adhere to University policy on cheating
7 Cheating: Don't do it. It is an extremely serious offense. As a minimum response, I will give a zero to the offender.
8 Plagiarism: Plagiarism includes copying from outside sources, including internet sources. If charged, at minimum you will receive a zero. Maximum penalties include being suspended, dismissed or expelled from the University. For further information, consult the Faculty Senate rules.
10 UK Senate Policies
Student Learning Outcomes (Arts & Sci.; Creativity Requirement):
Here’s what you will be able to do upon completing this class:
1. Define and distinguish among different approaches to geometry.
2. Demonstrate the application of logic, laws, and constraints
3. Demonstrate the ability to critically analyze work produced by other students.
4. Recognize the essential importance and significance of posing your own questions/problems.
Mid-term Grades
Mid-term grades will be posted in myUK by the deadline established in the Academic Calendar (http://www.uky.edu/registrar/content/academic-calendar)
Excused Absences (boilerplate):
Students need to notify the professor of absences prior to class when possible. S.R.
5.2.4.2 defines the following as acceptable reasons for excused absences: (a) serious illness, (b) illness or death of family member, (c) University-related trips, (d) major religious holidays, and (e) other circumstances found to fit “reasonable cause for nonattendance” by the professor.
Students anticipating an absence for a major religious holiday are responsible for notifying the instructor in writing of anticipated absences due to their observance of such holidays no later than the last day in the semester to add a class. Information regarding dates of major religious holidays may be obtained through the religious liaison, Mr. Jake Karnes (859-257-2754).
Students are expected to withdraw from the class if more than 20% of the classes scheduled for the semester are missed (excused or unexcused) per university policy.
Verification of Absences (boilerplate)
Students may be asked to verify their absences in order for them to be considered excused. Senate Rule 5.2.4.2 states that faculty have the right to request “appropriate verification” when students claim an excused absence because of illness or death in the family. Appropriate notification of absences due to university-related trips is required prior to the absence.
Academic Integrity (boilerplate):
Per university policy, students shall not plagiarize, cheat, or falsify or misuse academic
records. Students are expected to adhere to University policy on cheating
