MATH 2051, Problems in Geometry
Fall 2007
Toby Kenney
Homework Sheet 5
Due in: Wednesday 17th October, 11:30 AM
Note that diagrams are not drawn to scale. Scale drawing does not constitute a proof. Justify all your answers.
Compulsory questions
1 Let ABC
Assignment 1, Due January 19 at 5 PM in Chase, Room 302.
Page 43, exercise 1 (a), (b), (d), (e) and exercise 2.
Read the instructions on page 42 carefully to know what is expected and avoid some of the obvious
pitfalls.
Faculty of Science Course Syllabus
Department of MATHEMATICS
MATH2051
Problems in Geometry
Winter 2017
Instructor:
Dorette Pronk
[email protected]
Office: Chase 302
Lectures:
TR 10:05-11:25 LSC C244
_
Course Description
This is a basic course for all
MATH 2051 - Project: Projective Planes - Polars and Conics
1. State the axioms for which projective planes are models. Give several examples of projective planes.
Make sure that Fanos plane is one of them.
2. Given a projective plane P, its dual plane P i
MATH 2051 - Project: Projective and Affine Planes - Numbers of Points and Lines
1. State the axioms for which projective planes are models. Give several examples of projective planes.
2. Show that the following statement holds in every projective plane:
S
MATH 2051 - Greek Mathematicians
In chronological order of birth, Eudoxus, Archimedes, and Apollonius were
the greatest mathematicians of ancient Greece. Choose one of them and address
the following questions:
Describe their most important achievements a
MATH 2051 - Mathematics in Other Civilisations
Choose a civilization, Indian, Chinese, or Babylonian, and research how they
started doing mathematics:
what were their earliest results?
by which other cultures were they influenced?
what was their motiva
MATH 2051 - Project: The Nine Point Circle
In this project you will use the construction rules you have already developed in your
assignments to construct some new objects related to a triangle and discover some results
about them. This project is mainly
GEOMETRY HONORS DEFINITIONS 2016-2017
Note: Terms in parentheses
should be labeled on the
illustration.
Logic, page 569-570
1.
2.
Conditional statement
Negation/double negation
Logic, page 631-632
3.
4.
5.
6.
Converse
Inverse
Contrapositive
Law of Contra
Undefined terms-point ,line, plane
Adjacent angles-angles share common side, no common int points
Definition-1. Classify, 2. Differentiate, 3. Look for counterexample
Skew Lines-noncoplanar, dont intersect
Convex-no diagonals outside
Concave-diagonals out
MATH 2051 - Project: Centers of a Triangle
In this project you will use the construction rules you have already developed in your
assignments to construct some new objects related to a triangle and discover some results
about them. This project is mainly
Material Covered in Chapter 1:
Page 1-9 historical background mostly needed for certain projects and to understand where our
method of reasoning comes from.
Page 9-20 introduction to the axiomatic method read this at least once to prepare you for what is
MATH 2051, Problems in Geometry
Fall 2007
Toby Kenney
Midterm Examination
Wednesday 24th October, 10:3511:20 AM
Friday 26th October, 10:3511:20 AM
Calculators not permitted.
Note that diagrams are not drawn to scale. Scale drawing does not constitute a pr
MATH 2051, Problems in Geometry
Fall 2007
Toby Kenney
Midterm Examination
Wednesday 24th October, 10:3511:20 AM
Friday 26th October, 10:3511:20 AM
Calculators not permitted.
Note that diagrams are not drawn to scale. Scale drawing does not constitute a pr
MATH 2051, Problems in Geometry
Fall 2007
Toby Kenney
Homework Sheet 3
Due in: Wednesday 3rd October, 11:30 PM
Note that diagrams are not drawn to scale. Scale drawing does not constitute a proof. Justify all your answers.
Compulsory questions
1 Let ABCD
MATH 2051, Problems in Geometry
Fall 2007
Toby Kenney
Homework Sheet 2
Due in: Wednesday 26th September, 11:30 PM
Note that diagrams are not drawn to scale. Scale drawing does not constitute a proof. Justify all your answers.
Compulsory questions
1 Suppos
MATH 2051, Problems in Geometry
Fall 2007
Toby Kenney
Homework Sheet 1
Due in: Wednesday 19th September, 11:30 PM
Note that diagrams are not drawn to scale. Scale drawing does not constitute a proof. Justify all your answers.
Compulsory questions
1 Find t
MATH 2051, Problems in Geometry
Fall 2007
Toby Kenney
Homework Sheet 9
Due in: Wednesday 28th November, 11:30 AM
Note that diagrams are not drawn to scale. Scale drawing does not constitute a proof. Justify all your answers.
Compulsory questions
1 Recall
MATH 2051, Problems in Geometry
Fall 2007
Toby Kenney
Homework Sheet 6
Due in: Wednesday 7th November, 11:30 AM
Note that diagrams are not drawn to scale. Scale drawing does not constitute a proof. Justify all your answers.
Compulsory questions
1 Given a
MATH 2051, Problems in Geometry
Fall 2007
Toby Kenney
Homework Sheet 7
Due in: Wednesday 14th November, 11:30 AM
Note that diagrams are not drawn to scale. Scale drawing does not constitute a proof. Justify all your answers.
Compulsory questions
1 (a) Sho
MATH 2051, Problems in Geometry
Fall 2007
Toby Kenney
Homework Sheet 8
Due in: Wednesday 21st November, 11:30 AM
Note that diagrams are not drawn to scale. Scale drawing does not constitute a proof. Justify all your answers.
Compulsory questions
1 (a) We
MATH 2051, Problems in Geometry
Fall 2007
Toby Kenney
Homework Sheet 4
Due in: Wednesday 10th October, 11:30 AM
Note that diagrams are not drawn to scale. Scale drawing does not constitute a proof. Justify all your answers.
Compulsory questions
1 Let ABC
MATH 2051, Problems in Geometry
Fall 2007
Toby Kenney
Mock Final Examination
Time allowed: 3 hours
Calculators not permitted.
Note that diagrams are not drawn to scale. Scale drawing does not constitute a proof. Justify all your answers. This mock exam co