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110.109 Calculus II: Spring 2009
Course description: Differential
and integral calculus. Includes analytic geometry, functions, limits, integrals
and derivatives, polar coordinates, parametric equations, Taylor's theorem
and applications, infinite sequences and
series.
Text:
One and
Single Variable Essential Calculus, 1st edition,
J. Stewart; ISBN-10 049510955X
Instructor: Prof. C. Consani
Teaching Assistants: Abhishek Banerjee (Office hours: TH 9-11am
Math Help Room: Krieger 213), Siddique Khan (Office hours: W 5-7pm Math
Help Room), Adam Saltz (Office hours: TU 11-12pm Math Help Room)
- Week 1 : Review on integration (section 4).
- Week 2: Techniques of integration (6.1, 6.2)
- Week 3: Techniques of integration and applications (6.3, 7.1, 7.2)
- Week 4: Applications of integration; Parametric equations (7.3,
7.4, 9.1) Example (work out in class)
- Week 5: Polar coordinates and calculus (9.2-9.4)
- Week 6: Sequences and I Exam on Friday (coverage: up to 9.2
included) (8.1) [Solution
]
- Week 7: Improper integrals; (6.6)
- Week 8: Improper integrals and series (6.6, 8.2)
- Week 9: Series: convergence tests (8.3, 8.4)
- Week 10: Power series (8.4, 8.5)
- Week 11: Taylor and Mclaurin series (8.5-8.7)
- Week 12: II Exam on Friday April 24; Taylor series and
polynomials (8.7-8.8) [Solution
]
- Week 13: Applications to physics and engineering: differential equations (7.6)
The final exam is scheduled on Thursday May 7, 9-12 Noon in
Maryland 110
Problem set 1 [due in session on Feb.10,12]: Chapter 4:
12,17,20 p. 244; Chapter 6: 6.1: 11,13,17; 6.2: 12,16,52,59 [Solution
]
Problem set 2 [due in session on Feb.17,19]: Chapter 6: 6.3: 11,18,30,34;
Chapter 7: 7.1: 12,16,33; 7.2: 4,13,27 [Solution
]
Problem set 3 [due in session on Feb.24,26]: Chapter 7: 7.3:
8,13,35,37; 7.4: 4,10,25,27; Chapter 9: 9.1: 3,7,9. [Solution
]
Problem set 4 [due in session on March 3,5]: Chapter 9: 9.2: 7,22,25,28;
9.3: 17,26,47; 9.4: 4,5,10. [Solution
]
Problem set 5 [due in session on March 24,26]: Chapter 8: 8.1:
3,5,6,9,11,14,16,17,21,39.
Problem set 6 [due in session on March 24,26]: Chapter 6: 6.6:
5,6,9,14,19,25,43,46,48,49. [Solution (5&6)
]
Problem set 7 [due in session on March 31, April 2]: Chapter 8: 8.2:
4,7,9,10,13,15,19,27,40,46. [Solution ]
Problem set 8 [due in session on April 7,9]: Chapter 8:
8.3: 6,8,10,11,18; 8.4: 7,10,19,24,30. [Solution
]
Problem set 9 [due in session on April 14,16]: Chapter 8:
8.5: 4,6,8,18,21; 8.6: 4,6,9,12,13. [Solution
]
Problem set 10 [due in session on April 21,23]: Chapter 8:
8.7: 4,6,8,14,44; 8.8: 20,23,25,26,27. [Solution
]
Your final grade will be roughly determined according to the
following criterium:
100-85%: A range
84-65%: B range (i.e. from B+ to B-)
64-50%: C range
49-40%: D range
below 40%: F
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