Computer Geometry I (Online Course) – Grade 7 & 8*
*Refers to the level of mathematics and not to the actual age.
The course will cover the following topics:
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- Axioms of Euclidean Geometry
- Symmetry transformations of a plane
- Triangles
- Parallel lines
- Circle
- Isosceles and equilateral triangles
- Area
- Thales’ theorem
- Congruency of triangles
- Pythagoras’ Theorem
- Vector Geometry
- Introduction to Trigonometry
- Law of Sines, Cosine Law
2024/25 Course Information
The course will run online from September 2024 to April 2025 asynchronously (with a break in December).
Instructor: Yuly Billig billig@math.carleton.ca
The concept of this course is to combine modern computer technology with the classical Euclidean Geometry. We will see how to use the axioms of Euclid in order to create rigorous proofs in Geometry. This rigorous and logical approach is the best preparation for the future study of Computer Science.
This course will be assignment-based. Each Thursday we will post a pre-recorded lecture and an assignment with 4 challenging problems. A key element of this course is one-on-one meetings with the Teaching Assistants, who are Carleton University Math Honours students. Each student in this course will book each week (Friday to Monday) an individual time slot, at a time convenient for you, for a 20-minute one-on-one discussion with a Teaching Assistant. The purpose of this meeting is to review the progress on the home assignment and get help with any difficulties. There is also an alternative option to book a 40-minute time slot with 2 students. After the meeting with a Teaching Assistant, students will complete home assignments, which will be submitted the following Thursday for marking.
In this course we will use Geogebra platform for computer geometry.
For Ottawa students we recommend taking “Fundamentals of Geometry I”.
There will be no admission test for this course.
2023/24 Course Information
The course will run online from September 2023 to April 2024 asynchronously (with a break in December).
Registration Information
Registration fee: $425.
For students with limited financial resources fee waivers may be available. If you intend to apply for a fee waiver, please do NOT complete the regular registration. If you register for a course and then get approval for a fee waiver, there will be a non-refundable administration fee of $25 per registration.
Fee Waiver Information and Application
Refund Policy
100% refund prior to August 31st
95% refund prior to September 30th
75% refund prior to October 31st
50% refund prior to November 30th
To request refund, please complete this form before the deadline.
Inquiries
For more information, please write to billig@math.carleton.ca
Please note we are unable to answer any inquiries by phone.