This page is for archival purposes only!
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.
Exam dates will be determined by the administration and are currently only approximate guesses.
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Week 0:
Feb.17-18 |
1 |
Chapter 1. Functions and Models §1.1: Four Ways to Represent a Function. §1.2: Mathematical Models: A Catalog of Essential Functions. §1.3: New Functions from Old Functions. |
|
Week 1:
Feb.21-25 |
2 |
Chapter 2. Limits §2.1: The Tangent and Velocity Problems. §2.2: The Limit of a Function. |
| 3 |
§2.3: Calculating Limits Using the Limit Laws. §2.5: Continuity. |
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Week 2:
Feb.28-Mar.4 |
4 |
Chapter 3. Derivatives §3.1: Derivatives and Rates of Change. §3.2: The Derivative as a Function. |
| 5 |
§3.3: Differentiation Formulas. §3.4: Derivatives of Trigonometric Functions. |
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Week 3:
Mar.7-11 |
6 |
§3.5: The Chain Rule. §3.6: Implicit Differentiation. |
| 7 |
§3.8: Related Rates. |
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Week 4:
Mar.14-18 |
8 |
§3.9: Linear Approximations and Differentials. Chapter 4. Applications of Differentiation §4.1: Maximum and Minimum Values. |
| 9 |
§4.2: The Mean Value Theorem. §4.3: How Derivatives Affect the Shape of a Graph. |
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Week 5:
Mar.21-25 |
10 |
§4.4: Limits at Infinity; Horizontal Asymptotes. |
| 11 |
§4.5: Summary of Curve Sketching. |
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| EXAM 1: Saturday March 26, 13:30-15:30 SZ-23,24,25 | ||
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Week 6:
Mar.28-Apr.1 |
12 |
§4.7: Optimization Problems. |
| 13 |
§4.8: Newton's Method (Reading Assignment). §4.9: Antiderivatives. |
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Week 7:
Apr.4-8 |
14 |
Chapter 5. Integrals §5.1: Areas and Distances. §5.2: The Definite Integral. |
| 15 |
§5.3: The Fundamental Theorem of Calculus. §5.4: Indefinite Integrals and the Net Change Theorem. |
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Week 8:
Apr.11-15 |
16 |
§5.5: The Substitution Rule. Chapter 6. Applications of Integration §6.1: Areas between Curves. §6.5: Average Value of a Function. |
| 17 |
§6.2: Volume. §6.3: Volumes by Cylindrical Shells. |
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Week 9:
Apr.18-22 |
18 |
Chapter 7. Inverse Functions; Exp, log, and trig §7.1: Inverse Functions. §7.2: Exponential Functions and Their Derivatives. §7.2*: The Natural Logarithmic Function. |
| 19 |
§7.3: Logarithmic Functions. §7.3*: The Natural Exponential Function. §7.4: Derivatives of Logarithmic Functions. §7.4*: General Logarithmic and Exponential Functions. |
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Week 10:
Apr.25-29 |
20 |
§7.6: Inverse Trigonometric Functions. §7.7: Hyperbolic Functions (Reading Assignment). §7.8: Indeterminate Forms and L'Hospital's rule. |
| 21 |
Chapter 8. Techniques of Integration §8.1: Integration by Parts. |
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| EXAM 2: Saturday April 30, 13:30-15:30 SZ-23,24,25 | ||
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Week 11:
May 2-6 |
22 |
§8.4.1: Integration of Rational Functions by Partial Fractions (I, II). |
| 23 |
§8.2: Trigonometric Integrals. |
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Week 12:
May 9-13 |
24 |
§8.3: Trigonometric Substitution. |
| 25 |
§8.4.2: Integration of Rational Functions by Partial Fractions (III, IV). §8.5: Strategy for Integration. |
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Week 13:
May 16-20 |
26 |
§8.7: Approximate Integration. §8.8: Improper Integrals. |
| 27 |
Chapter 9. Further Applications of Integration §9.1: Arc Length. |
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Week 14:
May 23-27 |
28 |
§9.2: Area of a Surface of Revolution. |
| FINAL EXAM | ||