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.
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You must bring a photo ID.
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Write the exam in pen. If you use pencil, complaints will not be accepted about the marking.
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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.
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There is a question to find the largest domain of a function with a given formula.
- There is a question on inverse functions.
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There is a question to evaluate limits using both the methods of Section 1.6 and L'Hopital's Rule.
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There is a question on both the Intermediate Value Theorem and the Maximum Value Theorem.
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There are derivatives to compute using derivative formulas.
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There is a question on sketching the graph of a given function.
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There is a word problem on applying the chain rule (related rates problem).
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There is a question on lower and upper Riemann sums.
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There is a question on computing definite integrals by the methods of Section 3.3.
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There is a question on the Fundamental Theorems of Calculus.
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There is a question on computing the area between two curves.
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There are 8 true/false questions where you are asked to justify your answers.