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Students should use
ODTU-Class
There will be 28 lectures given by the instructors, each lasting 2 class hours. The actual timing of the lectures may differ slightly from section to section because of the holidays, but the total number will be the same. Besides these lectures, there will be recitations, 2 hours per week, during which the assistants will solve extra problems and give quizzes.
The table below is a rough guideline for the content of course lectures. Professors may reorder content as necessary/desired. The section and page numbers below are from the textbook, Calculus, by James Stewart, 6th international metric ed., 2009.
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Week 1:
Feb.16-24 |
1 |
Chapter 13. Vectors and the Geometry of Space §13.1: Three-Dimensional Coordinate Systems. §13.2: Vectors. §13.3: The Dot Product. |
| 2 |
§13.4: The Cross Product. §13.5: Equations of Lines and Planes. |
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Week 2:
Feb.27-Mar.2 |
3 |
§13.5: Equations of Lines and Planes (cont). §13.6: Cylinders and Quadric Surfaces. |
| 4 |
Chapter 14. Vector Functions §14.1: Vector Functions and Space Curves. §14.2: Derivatives and Integrals of Vector Functions. |
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Week 3:
Mar.5-9 |
5 |
Chapter 15. Partial Derivatives §15.1: Functions of Several Variables. §15.2: Limits and Continuity. |
| 6 |
§15.3: Partial Derivatives. §15.4: Tangent Planes and Linear Approximations. |
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Week 4:
Mar.12-16 |
7 |
§15.5: The Chain Rule. |
| 8 |
§15.6: Directional Derivatives and the Gradient Vector. |
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Week 5:
Mar.19-23 |
9 |
§15.7: Maximum and Minimum Values. |
| 10 |
§15.8: Lagrange Multipliers. |
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| MIDTERM EXAM 1: 9:40 on Saturday, March 24th SZ-22, 23, 24, 25 | ||
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Week 6:
Mar.26-30 |
11 |
Chapter 16. Multiple Integrals §16.1: Double Integrals over Rectangles. §16.2: Iterated Integrals. |
| 12 |
§16.3: Double Integrals over General Regions. |
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Week 7:
Apr.2-6 |
13 |
§11.3: Polar Coordinates. §16.4: Double Integrals in Polar Coordinates. |
| 14 |
§16.6: Triple Integrals. |
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Week 8:
Apr.9-13 |
15 |
§16.9: Change of Variables in Multiple Integrals. |
| 16 |
§16.9: Change of Variables in Multiple Integrals (cont). |
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Week 9:
Apr.16-20 |
17 |
Chapter 17. Vector Calculus §17.1: Vector Fields. |
| 18 |
§17.2: Line Integrals. |
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Week 10:
Apr.24-27 |
19 |
§17.3: The Fundamental Theorem for Line Integrals. |
| 20 |
§17.4: Green's Theorem. |
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| MIDTERM EXAM 2: 9:40 on Saturday, April 28th SZ-22, 23, 24, 25 | ||
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Week 11:
Apr.30-May 4 |
21 |
Chapter 12. Infinite Sequences and Series §12.1: Sequences. |
| 22 |
§12.2: Series. |
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Week 12:
May 7-11 |
23 |
§12.3: The Integral Test (Up to Estimating the Sum of a Series). §12.4: The Comparison Tests (Up to Estimating Sums). |
| 24 |
§12.5: Alternating Series. §12.6: Absolute Convergence and the Ratio and Root Tests. |
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Week 13:
May 14-18 |
25 |
§12.7: Strategy for Testing Series. §12.8: Power Series. |
| 26 |
§12.9: Representations of Functions as Power Series. |
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Week 14:
May 21-25 |
27 |
§12.10: Taylor and Maclaurin Series. |
| 28 |
§12.11: Applications of Taylor Polynomials. |
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| FINAL EXAM: 9:00 on Monday, June 4th | ||
* Reading assignments may be tested in the exams and quizzes.