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Mathematics 1001 |
| Dept. of Mathematics and Statistics | Calculus II - Winter 2010 |
| Lecture Section: | 009 |
| CRN: | 60738 |
| Lecture and Lab Slot: | (08 and 44A) or (08 and 44B) or (08 and 44C) |
| Lecture and Lab Room: | ED 1014 and HH 3026 |
| Prerequisite: | M 1000 |
| Instructor: | Dr. Bruce Watson |
| Office: | HH 3010 |
| Phone: | 737-8793 |
| Office Hours: | Tuesday 2:00-4:00, Thursday 3:00-5:00 |
| Class Web Site: | http://www.math.mun.ca/~bruce2/m1001 |
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Textbook: Mathematics 1000, 1001 Course Notes by Bruce Watson.
Method of Evaluation:
Course Outline:
UNIT 1: INTEGRALS
1.1 Antiderivatives and Indefinite Integrals (Section 5.1, 5.2)
1.2 The Definite Integral (Sec 6.1, 6.2, 6.4)
1.3 The Fundamental Theorem of the Calculus (Sec 6.6)
1.4 The Substitution Technique (Sec. 6.8)
1.5 Inverse Trigonometric Functions (Sec. 7.1, 7.2, 7.3)
UNIT 2: APPLICATIONS OF INTEGRATION
2.1 Exponential Growth and Decay (Sec. 8.1)
2.2 Area Between Curves (Sec. 5.6, 8.3)
2.3 Volume: The Disk Method (Sec. 8.5, 8.6)
2.4 Volume by Cylindrical Shells (Sec 8.8)
UNIT 3: INTEGRATION TECHNIQUES,
L'HÔPITAL'S RULE AND IMPROPER INTEGRALS
3.1 Integration by Parts (Sec. 9.1)
3.2 Trigonometric Integrals (Sec. 9.3)
3.3 Trigonometric Substitution (Sec. 9.5)
3.4 Integration of Rational Functions by Partial Fractions (Sec. 9.7)
UNIT 4:
4.1 Indeterminate Forms and L'Hôpital's Rule (Sec. 10.1)
4.2 Improper Integrals (Sec. 10.3)
Labs and Term Tests:
Week Number |
Topics by Textbook Section (Approx) |
Labs and Test |
| 1 | 5.1, 5.2 | No Lab |
| 2 | 6.1, 6.2 | Lab #1 & Solutions |
| 3 | 6.4, 6.6 | Lab #2 & Solutions |
| 4 | 6.6, 6.8 | Lab #3 & Solutions |
| 5 | 7.1, 7.2 | Lab #4 & Solutions |
| 6 | 7.3, 8.1, 5.6 | Quiz #1 |
| 7 | 8.3, 8.5 | Lab #5 & Solutions |
| 8 | 8.6 | No Lab |
| 9 | 8.6, 8.8 | Lab #6 & Solutions |
| 10 | 8.8, 9.1 | Lab #7 & Solutions |
| 11 | 9.1, 9.3 | Lab #8 & Solutions |
| 12 | 9.3, 9.5 | Lab #9 & Solutions |
| 13 | 9.7, 10.1 | Practice lab & Solutions |
| 14 | 10.3 | No Lab |
Important Dates:
| Jan. 7 | Lectures begin. |
| Jan. 21 | Last day to add courses. |
| Feb. 10 | Mid-term #1 |
| Feb. 22-24 | Mid-semester Break. No classes. |
| Feb. 25 | Last day for students to drop courses without academic prejudice. |
| Mar 17 | Mid-term #2 |
| April 2 | Good Friday. No lectures |
| April 7 | Last day of lectures. |
| April 16 | Final Exam, 3-5:30pm, PE-2000. Bring Photo ID. |