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Explorations in Analytic Geometry

SAT Score Range

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9 sessions

•

+2

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About

We are going to cover analytic geometry from an axiomatised view.

Tutored by

Nicholas R 🇨🇦

Certified in 1 topic

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I'm a high school student in Canada interested in pursuing a PhD in mathematics. I am currently in my twelfth year of high school and am working to study as far ahead as possible since I have aspirations of getting into a top school. My areas of study (restricted to maths) are - Linear algebra - Abstract algebra - Number theory - Analytic Geometry - Discrete mathematics - Probability - Grade 12 Calculus (IB) I aim to graduate in logic or analysis, but that might change! Afterwards, I would likely go into teaching or research.

Sessions

✋ ATTENDANCE POLICY

n/a

SESSION 1

1

Oct

SESSION 1

Other Topics

Other Topics

Wed 7:00 PM - 8:00 PM UTCOct 1, 7:00 PM - 8:00 PM UTC

Analytic geometry
SESSION 2

8

Oct

SESSION 2

Other Topics

Other Topics

Wed 7:00 PM - 8:00 PM UTCOct 8, 7:00 PM - 8:00 PM UTC

Analytic geometry. (This will be presented in more or less a lecture style. This class is not a Q&A for random topics and will follow linear progression)
SESSION 3

15

Oct

SESSION 3

Other Topics

Other Topics

Wed 7:00 PM - 8:00 PM UTCOct 15, 7:00 PM - 8:00 PM UTC

Transformation equations, inverse equations, sets of points, betweenness of points, division points of line segments.
SESSION 4

2

Nov

SESSION 4

Even More Math

Even More Math

Sun 8:00 PM - 9:00 PM UTCNov 2, 8:00 PM - 9:00 PM UTC

Review of topics learned in the previous session. Postulates, directed distance, and transformation equations mainly.
SESSION 5

5

Nov

SESSION 5

Even More Math

Even More Math

Wed 8:00 PM - 9:00 PM UTCNov 5, 8:00 PM - 9:00 PM UTC

We will discuss briefly the meaning of one dimensional vectors and then move to two space, where we will talk about coordinitisations based off of an ordered pair of points and potentially polar coordinates if time permits.
SESSION 6

12

Nov

SESSION 6

Even More Math

Even More Math

Wed 8:15 PM - 9:15 PM UTCNov 12, 8:15 PM - 9:15 PM UTC

Move to two space. Talk about cartesian coordinates.
SESSION 7

19

Nov

SESSION 7

Even More Math

Even More Math

Wed 8:15 PM - 9:15 PM UTCNov 19, 8:15 PM - 9:15 PM UTC

Cartesian Coordinates
SESSION 8

26

Nov

SESSION 8

Even More Math

Even More Math

Wed 8:15 PM - 9:15 PM UTCNov 26, 8:15 PM - 9:15 PM UTC

Polar coordinates
SESSION 9

7

Dec

SESSION 9

Even More Math

Even More Math

Sun 2:15 PM - 3:15 PM UTCDec 7, 2:15 PM - 3:15 PM UTC

Cartesian coordinates.

Public Discussion

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Oct 1 - Dec 7

10 weeks

60 mins

/ session

Next session on December 7, 2025