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The TwelveByTwelve (TBT) standard for MATHEMATICS (UBC Math 141)


TwelveByTwelve (TBT): Marko with UBC Mathematics 141 instructor Dr Michael Li

Marko with UBC Mathematics 141 instructor Dr Michael Li.

TwelveByTwelve (TBT): Marko waiting for the examination-hall doors to open for the final examination in UBC Mathematics 141

Waiting for the examination-hall doors to open for the final examination in Mathematics 141.

TwelveByTwelve (TBT): Marko waiting for the examination-hall doors to open for the final examination in UBC Mathematics 141

Doors still haven't opened.

TwelveByTwelve (TBT): Marko with UBC Mathematics 141 classmates after having just been written the final exam

The final examination in Mathematics 141 has just been written, and school's out!  A few of the students who happened to walk out together gather for a photo.

TwelveByTwelve (TBT): Doodle from Marko's UBC Math 141 notebook
Doodle from Marko's Math 141 notebook


UBC Mathematics 141, completed at age 11:11, while nominally a graduate of grade 6, and earning a course grade of 85%

Mathematics 140 and 141 are differential and integral calculus courses for students in the Faculty of Arts, for which reason the problems come often from the fields of business and economics.

This is the second of Marko's four UBC calculus courses (Math 140, 141, 100, 101) which together considerably overshoot the TwelveByTwelve standard of completing Grade 12 math by the age of 12.

University of British Columbia
Sessional Examination    Summer 1990    Mathematics 141    Calculus II    Page 1


TwelveByTwelve (TBT): UBC Math 141 Final Exam p. 1

University of British Columbia
Sessional Examination    Summer 1990    Mathematics 141    Calculus II    Page 2


TwelveByTwelve (TBT): UBC Math 141 Final Exam p. 2

University of British Columbia
Sessional Examination    Summer 1990    Mathematics 141    Calculus II    Page 3


TwelveByTwelve (TBT): UBC Math 141 Final Exam p. 3

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