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Final

# Final Exam Topics Importance Breakdown

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Department
Mathematics
Course
MAT135H1
Professor
All Professors
Semester
Summer

Description
Exam  Breakdown     The  final  exam  will  be  cumulative,  thus  including  material  you  have  learned  before   the  term  test.   Approximately  75%  of  the  material  will  be  from  the   past  term  test,  with  the  largest  focus  on   integration  techniques.  Here  are  the  topics  from  the  midterms:   • Continuous  Functions   • Limits   • Implicit  Differentiation   • Graphing  Related   • Optimization   o Sum  Questions   • Derivatives/Differentiation   • Nth  Term   • Composite  Functions   The  new  material  will  be  about  infinite  series,  as  well  as  a  “challenge  problem”.  Here   are  the  topics:   • Antiderivatives     • Newton’s  Method   • Exponential  Functions     Test  Statistics:     Topic   2008   2010   2011   Total   Continuous  Functions   1   0   0   1     Limits   4   3   3   10     Implicit  Differentiation   1   0   0   1     Graphing  Related   2   5   3   10     Optimization   1   0   0   1     Derivatives   1   2   2   5     Sum  Questions   1   0   0   1     Nth  Term   0   0   0   0     Composite  Function   0   1   0   1     Antiderivatives   3   5   3   11     Newton’s  Method   1   2   1   4     Exponential  Function     2   1   1   4                                 The  three  major  topics  covered  for  midterm  2  were  limits,  graphing  related  questions,  and   antiderivatives.     Some  common  occurrences:   • Approximately  3-­‐  4  evaluating  limit  questions   • Approximately  always  one  newton’s  method  question  a nd  exponential  function  question     Entire  Course  Statistics:   Below  is  a  comprehensive  list  of  all  the  topics  that  have   appeared  in  the  past  two  tests  and  the  final   exam.    As  you  can  see  the  topics  are  you  will  be  heavily  tested  on  are  limits,  derivatives,  and   graphing  related  questions .     Topic   Total  Number  of  Times  Appeared     Limits   81     Inverse  Functions   8   Composite  Functions   13     Function  Questions   24       Implicit  Differentiation   15   First  Principles   10     Derivatives     76
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