1 “…it is impossible to be a mathematician without being a poet in soul … imagination and...

16
1 “…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that which others do not perceive, to look deeper than others look. And a mathematician must do the same thing.” Sonya Kovalevsky (1850 – 1891)

Upload: ariel-mclaughlin

Post on 17-Jan-2018

217 views

Category:

Documents


0 download

DESCRIPTION

3 Catalog Description A rigorous survey of Euclidean geometry, recent additions to Euclidean geometry, non-Euclidean geometries, and additional topics. Geometer’s Sketchpad and/or other software will be used. Knowledge of Euclidean geometry is required.

TRANSCRIPT

Page 1: 1 “…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that

1

“…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that which others do not perceive, to look deeper than others look. And a mathematician must do the same thing.”

Sonya Kovalevsky (1850 – 1891)

Page 2: 1 “…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that

2

Self Introduction and Office Hours

James Troutman

Office location - A 303/306B

phone 815-1215

Office location - A 303/306B

phone 815-1215

e-mail [email protected].

Office location - A 303/306B

phone 815-1215

e-mail [email protected].

Hours: Monday 4:15 - 5:00, Tuesday 3-5, Wednesday 1:30 - 2:30, Thursday 11-12

Office location – LS-112

phone 815-1215

e-mail [email protected].

Hours: Monday 4:15 - 5:00, Tuesday 3-5, Wednesday 1:30 - 2:30, Thursday 11-12

My home phone number is 840-4000.

Page 3: 1 “…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that

3

Catalog Description

A rigorous survey of Euclidean geometry, recent additions to Euclidean geometry, non-Euclidean geometries, and additional topics. Geometer’s Sketchpad and/or other software will be used. Knowledge of Euclidean geometry is required.

Page 4: 1 “…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that

4

PREREQUISITEPrerequisite: Knowledge of Euclidean Geometry is required.

Page 5: 1 “…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that

5

The textbook for this course is: There are no text required for this course. A

good high school geometry book would be good for the first few weeks as we review that material. The internet will also be a good source for both the basic material and the more advanced material. 

Page 6: 1 “…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that

6

Course Outline

See syllabus for detailed schedule.

Page 7: 1 “…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that

7

Grading Policy In general, your final grade will be determined by the

sum of your test grades, homework and quiz scores.

Additional credit will be granted for working in pairs and placing problems on the board at the start of class. In all situations your interest, attitude, attendance, and class contributions will be considered before assigning you a final grade.

Page 8: 1 “…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that

8

Grading Scale

A . . . . . . . 90 - 100B + . . . . . 87 – 89B . . . . . . . 80 – 86C + . . . . . 77 – 79C . . . . . . . 70 – 76D . . . . . . . 60 – 69F . . . . . . . 0 – 59

Page 9: 1 “…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that

9

Technology PolicyWhile York College recognizes students’ need for educational and emergency related technological devices such as laptops, PDA’s, cellular phones, etc., using them unethically or recreationally during class time is never appropriate. The college recognizes and supports faculty members’ authority to regulate in their classrooms student use of all electronic devices

In this class the only devices permitted out in the open are calculators. If you have a cell phone please place it in the vibrate mode and leave the classroom if you

need to use it. Use your common sense!

Page 10: 1 “…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that

Sketchpad may be found on the college server at

program4on’Dragon(dragon)’(R:)

Geometer’s Sketchpad

Page 11: 1 “…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that

11

Graphing Calculators

The instructor will use a graphing calculator in class. A graphing calculator is strongly encouraged and will be useful throughout this course. Graphing calculators may be used during portions of testing.

Page 12: 1 “…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that

12

Teaching/Learning Style

• Material will be presented through examples and problems.

• Material will be presented through examples and problems.

• Students will come to class with homework completed. We will work in pairs at the beginning of class on the homework assignment. Some examples may be placed on the board by students.

Page 13: 1 “…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that

13

A Typical Class

The instructor will cover the material using PowerPoint on the screen at the front of the room. He will give examples and solve problems. The student is responsible for asking for clarification or additional practice.

• Homework will be assigned.

Page 14: 1 “…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that

14

For those needing help: • Note my office hours. • Note my office hours. • Form study groups. • Note my office hours. • Form study groups. • Visit my web page

http://faculty.ycp.edu/~jtroutma (Note that there is no n at the end of jtroutma.)

Page 15: 1 “…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that

15

Go to Sketchpad

Sketchpad may be found on the college server at

program4on’Dragon(dragon)’(R:)

Page 16: 1 “…it is impossible to be a mathematician without being a poet in soul … imagination and invention are identical … the poet has only to perceive that

Assignment: Chapter 1 Start your review of the

foundations for Euclidean Geometry from a basic geometry

text or the internet.

Basic terms – point, line, plane, etc. Methods of proof.