SOAR 2000
Mathematical Sciences Summer Camp
S
ummer Opportunity in Applied Research

Curriculum

Number Theory

Camp Times: Mon. to Fri. from July 24 to August 11 (except August  7, Civic Holiday), 10 a.m. – 3 p.m.
Camp Lunches:  Students should bring their own lunches except on Fridays, when Pizza will be served
Camp locations:  
Main Camp Wallberg Building (NE corner of College St. and St. George streets) Rooms 219 and 343
Computer Labs RamseyWright Building (SW corner of St. George and Harbord streets) Room 211/213 (two doors to the same big room)
Fields Institute 222 College Street, on the north side of College St. just west of St. George Street. 

Week 1      July 24 to July 28

Monday

A.M.

Foundations of Number Theory

 

P.M.

Guided Campus Tour (starts from the Visitors Centre [25 King’s College Circle] @ 1:30 pm)

Tuesday

A.M.

Greatest Common Divisors (Part I)

 

P.M.

Indoor Games (Main Camp)

Wednesday

A.M.

Greatest Common Divisors (Part II)

 

P.M.

Computer Introduction (Computer Labs)

Thursday

A.M.

Prime Numbers

 

P.M.

Outdoor Sports (Front Campus)

Friday

A.M.

Congruences and Modular Arithmetic (Part I)

 

P.M.

Video Day (Room 116 in the Walberg building @ 1:00 pm)

 

Week 2      July 31 to August 4

Monday

A.M.

Congruences and Modular Arithmetic (Part II)

 

P.M.

Indoor Games (Main Camp)

Tuesday

A.M.

Powers in Modular Arithmetic (Part I)

 

P.M.

Royal Ontario Museum Visit

Wednesday

A.M.

Powers in Modular Arithmetic (Part II)

 

P.M.

Outdoor Sports (Front Campus)

Thursday

A.M.

Factoring Integers (Part I)

 

P.M.

Guest Lecture: Ed Barbeau (Fields Institute @ 1:00 pm)

Friday

A.M.

Factoring Integers (Part II)

 

P.M.

Factorization Contest (Main Camp @ 1:00 pm)

 

Week 3      August 7 to August 11

Monday

 

Civic Holiday (No Camp)
SOAR into Mathematics picnic (if campers wish to arrange it)

Tuesday

A.M.

Egyptian Fractions

 

P.M.

Computer Explorations (Computer Labs)

Wednesday

A.M.

Cryptography (Part I)

 

P.M.

Guest Lecture: John Friedlander (Fields Institute @ 1:30 pm)

Thursday

A.M.

Cryptography (Part II)

 

P.M.

Computer Explorations (Computer Labs)

Friday

A.M.

Survey of Additive Number Theory

 

P.M.

Treasure Hunt/ Closing Ceremonies

This is an approximate curriculum; the timing and topics may be adjusted to reflect the interests and levels of the students. For more information contact us at:

SOAR 2000
Mathematical Sciences Camp
Department of Mathematics
University of Toronto
100 St. George St., Room 4072
Toronto, ON  M5S 3G3

Tel: (416) 978-3472
Fax: (416) 978-4107
E-mail: mathnet@math.utoronto.ca
www.math.utoronto.ca/mathnet/SOAR2000

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This page was last updated: July 10, 2000