MH4722 — Introduction to Geometry
News
-
The results of the mid-term exam (MIC and UL students) were sent to
your student email address, but also look at these statistics:
Marks 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Frequency 0 0 0 1 2 0 4 2 1 4 6 7 5 3 2 4 3 2 0 3 1 0 2 1 1
- Assessment information for this module.
Contact Information
Name | Dr. Bernd Kreussler |
Office | N29 |
Internal Telephone | 4578 |
bernd.kreussler@mic.ul.ie | |
WWW | www.maths.mic.ul.ie/kreussler/ |
Some Links of interest
- The Interactive Geometry Software Cinderella
- The Dynamic Mathematics Software GeoGebra
Exercise Sheets
sheet 1
sheet 2
sheet 3
sheet 4
sheet 5
sheet 6
sheet 7
Future Exercise Sheets will be available on Moodle.
Submissions
submission 1 (due in week 3)
submission 2 (due in week 4)
submission 3 (due in week 5)
submission 4 (due in week 6)
submission 5 (due in week 7)
Subsequent Assignments will be available on Moodle.
Timetable (MIC)
Lectures
Tuesday | 13.00 - 13.50 | ||
Wednesday | 14.00 - 14.50 | ||
Thursday | 14.00 - 14.50 |
Tutorials
Wednesday | 15.00 - 15.50 | ||
Thursday | 15.00 - 15.50 |
Tutorials commenced in week two.
Plan of the lecture
- Pythagoras
- The Theorem of Pythagoras
- The Golden Section
- Area
- Parallel Lines
- Constructions with Ruler and Compass
- Congruence and Similarity
- The Intercept Theorem
- Congruence and Similarity
- Using Congruence Theorems
- Converses
- Bisectors
- Triangle Centres
- Trigonometry
- Measuring Angles
- Arc Length and Area
- Trigonometric Functions and Right Angled Triangles
- Calculating Values of Trigonometric Functions
- General Triangles
- Applications
- Coordinates
- Cartesian Coordinates
- Lines and Circles
- Polar Coordinates
- Conics
- Circles and Angles
- Inscribed Angles
- Tangents
Textbooks
- OSTERMANN, A., WANNER, G., Geometry by Its History, (Springer) 2012.
- GARDINER, A.D., BRADLEY, C.J., Plane Euclidean Geometry: Theory and Problems, (UKMT) 2005.
- LANG, S., MURROW, G., Geometry, A High School Course, (Springer) 1983.
- CLARK, D. M., Euclidean Geometry: A Guided Inquiry Approach, (American Mathematical Society) 2012.
- BRUMFIELD, C. F., VANCE, I. E., Algebra and Geometry for Teachers, (Addison-Wesley) 1970.