Math 3379 - 14861

Introduction to Higher Geometry - Spring 2022


 Instructor: Dr. Blerina Xhabli
Course details:
Announcements/Important Dates:

The daily activities, pre-class homework assignments and other important course materials will be uploaded in our MATH3379_14861_SP22 team and/or distributed in class. All lecture notes used during the lecture sessions along with the recorded lecture videos (when applicable) will be posted on TEAMS. You are responsible for all the announcements given during the lecture sessions.

Weekly Plan

Monday

Wednesday

1. Week
01/17 - 01/19

Martin Luther King Day
No classes

Introduction to Essence of Mathematics
Proofs and Their Importance

2. Week
01/24 - 01/26

Introduction to Modules Curriculum
More Proof Methods(continued)

Module I - Axiomatic Development of Geometry
Lesson 1: Where should we live?

3. Week
01/31 - 02/02

Module I - Axiomatic Development of Geometry
Lesson 2: What is geometry?

Module I - Axiomatic Development of Geometry
Lesson 3: Where do differences come from?

4. Week
02/07 - 02/09

Module I - Axiomatic Development of Geometry
Lesson 3 (continued)

Module I - Axiomatic Development of Geometry
Lesson 4: Sets of Axioms

5. Week
02/14 - 02/16

Module I - Axiomatic Development of Geometry
Lesson 4 (continued)

Module I - Axiomatic Development of Geometry
Lesson 5: Consequences of our Choices

6. Week
02/21 - 02/23

Module I - Axiomatic Development of Geometry
Lesson 5 (continued)

Module I - Axiomatic Development of Geometry
Lesson 6: Understanding Axiomatic Systems

7. Week
02/28 - 03/02

Module I - Axiomatic Development of Geometry
Summary of Module I

Module I - Axiomatic Development of Geometry
Exam: March 2 @2:30pm in class

8. Week
03/07 - 03/09

Module II - Transformational Geometry
Lesson 1: Introduction to Transformations

Module II - Transformational Geometry
Lesson 1 (continued)

9. Week
03/14 - 03/16

Spring Break
No classes

Spring Break
No classes

10. Week
03/21 - 03/23

Module II - Transformational Geometry
Lesson 2: Distance-Preserving Transformations

Module II - Transformational Geometry
Lesson 3: Rotations and Reflections

11. Week
03/28 - 03/30

Module II - Transformational Geometry
Lesson 3 (continued)

Module II - Transformational Geometry
Lesson 4: Transformations and Congruence

12. Week
04/04 - 04/06

Module II - Transformational Geometry
Lesson 4 (continued)

Module II - Transformational Geometry
Lesson 5: Fixed Points

13. Week
04/11 - 04/13

Module II - Transformational Geometry
Lesson 6: Triangle Congruence

Module II - Transformational Geometry
Summary of Module II

14. Week
04/18 - 04/20

Module III - Similarity Geometry
Lesson 1: Changing Size

Module III - Similarity Geometry
Lesson 2: Understanding Dilations

15. Week
04/25 - 04/27

Module III - Similarity Geometry
Lesson 3: Similarity

Module III - Similarity Geometry
Wrapping up Module III

16. Week
05/02 - 05/04

Presentation Projects Day 1

Presentation Projects Day 2

Finals' Week
05/09 - 05/11

Study for your finals

Final Exam: May 11 @2:00pm in class