FINAL EXAM INFORMATION
The Final Exam will be given on Sunday, December 15, from 7:00 to 10:00 p.m., in the Rexall Tennis Centre.

You must bring a photo ID.

Write the exam in pen. If you use pencil, complaints will not be accepted about the marking.

Use of a calculator is not allowed.
 This exam covers all sections of the course from 1.2 through 3.4.
 You will receive one bonus mark if you affirm, with a signature
on the exam, that you have completed the course evaluation.
 This list of formulas
will be included as the last page of the exam.
 You must memorize all other formulas that you may need.
In particular, know the formulas for the volumes of spheres,
cylinders and cones.
 Know the statements of the following theorems.
Name 
Result Number 
Page 
Intermediate Value Theorem 
1.7.19 
94 
Maximum Value Theorem 
1.7.42 
98 
Rolle's Theorem 
2.6.13 
191 
Mean Value Theorem 
2.6.20 
192 
L'Hopital's Rule 
2.8.2 
221 
Existence Theorem for Definite Integrals 
3.3.16 
310 
Additivity of Definite Integrals 
Property 9 
314 
First Fundamental Theorem of Calculus 
3.4.5 
324 
Second Fundamental Theorem of Calculus 
3.4.9 
326 
 There will be 12 questions. (Most of these questions have parts.)
 There are no proofs on the exam.

There is a question to find the largest domain of a function with a given formula.
 There is a question on inverse functions.

There is a question to evaluate limits using both the methods of Section 1.6 and L'Hopital's Rule.

There is a question on both the Intermediate Value Theorem and the Maximum Value Theorem.

There are derivatives to compute using derivative formulas.

There is a question on sketching the graph of a given function.

There is a word problem on applying the chain rule (related rates problem).

There is a question on lower and upper Riemann sums.

There is a question on computing definite integrals by the methods of Section 3.3.

There is a question on the Fundamental Theorems of Calculus.

There is a question on computing the area between two curves.

There are 8 true/false questions where you are asked to justify your answers.