[MAT136H1] - Final Exam Guide - Comprehensive Notes fot the exam (38 pages long!)

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: Natalia Cristina Garcia Fritz

Document Summary

Mat136h1 s - lecture 1 - calculus 1(b) Email using mail. utoronto. ca email account and include mat136h in subject line. Office: ba6290g; office hours: thu 4:30 - 5:30 and tue 3:30 - 4:30 by appointment only. Will need to know chapters 1 - 4 and appendices a - e. Mat135 death with rate of change: a rate of change of a function is its derivative. Anti-derivates are the opposite: given a rate of change, can find the function d dx s t( ) = s " t( ) = v t( ) v t( ) = s t( ) Given one rate of a change, there can be multiple original functions, related by vertical translation. Therefore anti-derivatives are not unique, if they exist. Definition: we say f x( ) is an anti-derivative of f x( ) on the interval i if f " x( ) = f x( ) for x i.