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Students should use
ODTU-Class
There will be 28 lectures given by the instructors, each lasting 2 class hours. Besides these lectures, there will be recitations, 2 hours per week, during which extra problems will be solved and quizzes will be given by the assistants.
The section and page numbers below are from the textbook, Calculus, James Stewart, 6th international metric ed., 2009. The schedule below is intended as a guide, and is subject to change as seen necessary by the instructor.
Exam times will be determined by the administration and are currently only guesses.
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Week 0:
Feb.17-18 |
1 |
Chapter 12. Infinite Sequences and Series §12.1: Sequences. |
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Week 1:
Feb.21-25 |
2 |
§12.2: Series. |
| 3 |
§12.3: The Integral Test (Up to Estimating the Sum of a Series). §12.4: The Comparison Tests (Up to Estimating Sums). |
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Week 2:
Feb.28-Mar.4 |
4 |
§12.5: Alternating Series. §12.6: Absolute Convergence and the Ratio and Root Tests. |
| 5 |
§12.7: Strategy for Testing Series. §12.8: Power Series. |
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Week 3:
Mar.7-11 |
6 |
§12.9: Representations of Functions as Power Series. |
| 7 |
§12.10: Taylor and Maclaurin Series. |
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Week 4:
Mar.14-18 |
8 |
§12.11: Applications of Taylor Polynomials. |
| 9 |
Chapter 13. Vectors and the Geometry of Space §13.1: Three-Dimensional Coordinate Systems. §13.2: Vectors. §13.3: The Dot Product. |
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Week 5:
Mar.21-25 |
10 |
§13.4: The Cross Product. §13.5: Equations of Lines and Planes. |
| 11 |
§13.6: Cylinders and Quadric Surfaces. |
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| EXAM 1: Saturday, March 26, 10:00-12:00 SZ-22, 23, 24, 25, S-124 | ||
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Week 6:
Mar.28-Apr.1 |
12 |
Chapter 14. Vector Functions §14.1: Vector Functions and Space Curves. §14.2: Derivatives and Integrals of Vector Functions. §14.3: Arc Length and Curvature (Reading Assignment). §14.4: Motion in Space: Velocity and Acceleration (Reading Assignment). |
| 13 |
Chapter 15. Partial Derivatives §15.1: Functions of Several Variables. §15.2: Limits and Continuity. |
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Week 7:
Apr.4-8 |
14 |
§15.3: Partial Derivatives. §15.4: Tangent Planes and Linear Approximations. |
| 15 |
§15.5: The Chain Rule. |
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Week 8:
Apr.11-15 |
16 |
§15.6: Directional Derivatives and the Gradient Vector. |
| 17 |
§15.7: Maximum and Minimum Values. |
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Week 9:
Apr.18-22 |
18 |
§15.8: Lagrange Multipliers. |
| 19 |
Chapter 16. Multiple Integrals §16.1: Double Integrals over Rectangles. §16.2: Iterated Integrals. |
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Week 10:
Apr.25-29 |
20 |
§16.3: Double Integrals over General Regions. |
| 21 |
§11.3: Polar Coordinates. §16.4: Double Integrals in Polar Coordinates. |
|
| EXAM 2: Saturday, April 30, 10:00-12:00 SZ-22, 23, 24, 25, S-124 | ||
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Week 11:
May 2-6 |
22 |
§16.6: Triple Integrals. |
| 23 |
§16.7: Triple Integrals in Cylindrical Coordinates. §16.8: Triple Integrals in Spherical Coordinates. |
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Week 12:
May 9-13 |
24 |
§16.9: Change of Variables in Multiple Integrals. |
| 25 |
Chapter 17. Vector Calculus §17.1: Vector Fields. |
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Week 13:
May 16-20 |
26 |
§17.2: Line Integrals. |
| 27 |
§17.3: The Fundamental Theorem for Line Integrals. |
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Week 14:
May 23-27 |
28 |
§17.4: Green's Theorem. |
| FINAL EXAM | ||
* Reading assignments may be tested in the exams and quizzes.