Last modified: Wed 18 March 8:28:17 IST 2020

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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
    The total sum of the marks of all 54 participating students is 721. On average, these are 13.35 marks per student, which corresponds to 53.4%.
  • Assessment information for this module.

Contact Information

Name Dr. Bernd Kreussler
Office N29
Internal Telephone 4578
Email bernd.kreussler@mic.ul.ie
WWW www.maths.mic.ul.ie/kreussler/

Some Links of interest


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  T1.15 on Moodle
Wednesday 14.00 - 14.50  T1.15 on Moodle
Thursday 14.00 - 14.50  T1.15 on Moodle

Tutorials

Wednesday 15.00 - 15.50  T2.01 on Moodle
Thursday 15.00 - 15.50  T2.01 on Moodle

Tutorials commenced in week two.


Plan of the lecture

  1. Pythagoras
    • The Theorem of Pythagoras
    • The Golden Section
    • Area
    • Parallel Lines
    • Constructions with Ruler and Compass
  2. Congruence and Similarity
    • The Intercept Theorem
    • Congruence and Similarity
    • Using Congruence Theorems
    • Converses
    • Bisectors
    • Triangle Centres
  3. Trigonometry
    • Measuring Angles
    • Arc Length and Area
    • Trigonometric Functions and Right Angled Triangles
    • Calculating Values of Trigonometric Functions
    • General Triangles
    • Applications
  4. Coordinates
    • Cartesian Coordinates
    • Lines and Circles
    • Polar Coordinates
    • Conics
  5. 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.
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