Course: Integral and Final Exam Term Essay

MATH 1004 H, Winter 2014

Textbook: The ABC’s of Calculus, by A.Mingarelli. The textbook will be available at
Haven Books , 43 Seneca Street, (613) 730-9888. ( 5-minute walk from campus, two blocks from Bronson Avenue along Sunnyside Avenue.) For the electronic copy (at cost $40), please contact Dr. Angelo Mingarelli, amingare@math.carleton.ca
Prerequisites: Ontario Grade 12 Mathematics: Advanced Functions and Introductory Calculus; or an OAC in
Calculus, or MATH 0007, or equivalent.
Classes: Wed. and Fri. 1:05—2:25 pm at SC 103 ,
Classes begin: Wed, Jan 8, Classes end: Fri. Apr. 4

Tutorials: Wednesdays, Start on Jan 22

Day Tutorial

Time

Room

TA’s name

TA’s e-mail

Wed
Wed

2:35-3:25
2:35-3:25

H1
H2

Evaluation:

10%
30%
60%

Tutorial attendance
Tests (The best three tests out of four tests)
Final Exam

Term Tests: There will be four 50-minute tests in the tutorial hours on
Test 1:
Test 2:
Test 3:
Test 4:

Wed,
Wed,
Wed,
Wed,

January 29
February 12
March 5
March 19

Note: The "best x of y" rules allow you to miss some of the term events for any reason (medical or otherwise). In other words, under normal circumstances, if you miss a test for a medical or other reason, we still choose the best 3 out of 4 tests you will have written. Only under highly exceptional circumstances will a test be postponed to a later date. It is each student’s responsibility to collect the marked tests from the TA. The test papers are normally distributed in the tutorial session following the date of the test.
Final Examination
The final examination is a 3 hour exam scheduled by the University. It will take place during the examination period. It is your responsibility to find out the correct date and time of the exam and the room where it takes place. The final exam is worth 60% of your final grade.
When the exam is written, the students are allowed to make an appointment with the instructor to view their exam within two weeks of the examination period. This examination review is for educational purposes only.
Note: Students who do not have a passing term work (15 out of 40) and are absent on the final examination

will be assigned the grade of FND (Failure with no deferred final examination).

Homework: Students are expected to do the exercises from the textbook which follow the sections discussed in class. The answers to all the practice problems are in the end of the textbook. These exercises are not to be handed in and will not be graded. However, in order to succeed in the course, it is absolutely essential to do the exercises on a regular basis.

Topics:
SECTIONS

TOPICS

1

Chapter 1, Appendices A, B, C, D,

Functions, Review of Chapter 1 in text, Trigonometry

2

2.1-2, 2.3-5, 3.1-3,

3

3.4-5, 3.7-9

Implicit differentiation, Derivatives of trigonometric functions, Inverse functions, 4

3.9, 3.12

Inverse trigonometric functions and their derivatives, L'Hospital's Rule

5

4.1-4, 4.5-6

6

5.1-2-3

7

6.1-2

8

6.3-4, 7.1-2

9

7.3

10

7.4-5-6

Partial Fractions, Powers of Sines and Cosines, Trigonometric substitutions

11

7.8, 8.2

Improper Integrals, Area between Two Curves

12

8.3-4-5

Volumes of Solids of Revolution

Limits and Continuity, Guessing and Evaluating Limits at Infinity, The Chain
Rule

Exponentials and Logarithms and their derivatives

Curve sketching

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