Math 112 (Fall 2009)
- Instructor: Byung-Jay Kahng
- Email: kahngb@canisius.edu
- Office: 304B Wehle Technology Center
- Office Phone: (716) 888-2493
- Office Hours: TuTh 10:00--12:00, MWF 10:00--10:50, also by appointment
Course Schedule: Weekly topics,
Exam dates, ...
OVERVIEW:
Math 112 is the second installment of the Canisius calculus sequence. Here, we develop further
the main ideas/techniques of integral calculus begun in Math 111. The second half of the semester
is devoted to infinite sequences and series. The topics include: Applications of the Definite
Integral: Area, Volume, Average value, Arc length, Area of a surface of revolution; Techniques
of integration (Substitution, Integration by parts, Partial fractions, Trigonometric integrals);
Approximate integrals; Improper integrals; Applications to other sciences; Sequences and Series;
Tests for convergence; Power series and Taylor/Maclaurin series; Parametric curves; Polar
coordinate system.
Homework Assignments: Will be announced here weekly.
- HW#1 [Due 8/28]: (§ 5.1)[p364]: 1;
(§ 5.2)[p376]: 2,33,34;
(§ 5.3)[p387]: 21,24,25,32,38;
(§ 5.4)[p397]: 27,32,35,38,39,65
- HW#2 [Due 9/2]: (§ 5.5)[p406]: 2,6,12,19,23,26,28,30,31,32,36,39,42,52,53,58,65,74,82
- HW#3(a) [Due 9/9]: (§ 6.1)[p420]: 2,4,7,10,16,21,22;
(§ 6.2)[p430]: 4,5,6,9,11,12,16,32,51,52;
(§ 6.3)[p436]: 9
- HW#3(b) [Due 9/11]: (§ 6.3)[p436]: 10,11,12,17,18;
(§ 6.5)[p445]: 2,4,9,13,19
- HW#4(a) [Due 9/15]: (§ 6.4)[p441]: 2,3,7,8,9,13;
(§ 7.1)[p457]: 3,4,9,11,12,19,22
- HW#4(b) [Due 9/18]: (§ 7.1)[p457]: 8,17,18,20,25,31,33,34,38;
(§ 7.2)[p465]: 1,2,8,13,14,19,20,27
- HW#5 [Due 9/24]: (§ 7.2)[p465]: 11,16,26,49;
(§ 7.3)[p472]: 5,6,7,9,21,24
- Exam 1 [9/25 (Fri)]
- HW#6 [Due 9/30]: (§ 7.4)[p481]: 1,3,9,10,12,19,20,27,28
- HW#7(a) [Due 10/6]: (§ 7.4)[p481]: 16,22,24,29;
(§ 7.6)[p493]: 1,2,4,6,9
- HW#7(b) [Due 10/9]: (§ 7.7)[p505]: 7,10,16,29,30;
(§ 7.8)[p515]: 2,6,8,9,11,14,18,21,24,31,34
- HW#8 [Due 10/15]: (§ 7.8)[p515]: 20,30,35,49,50,52,54;
(§ 8.1)[p530]: 4,7,9,12,24,33;
(§ 8.2)[p537]: 2,5
- HW#9(a) [Due 10/20]: (§ 8.2)[p537]: 7,12,15;
(§ 8.3)[p547]: 6,23,29,32;
(§ 8.4)[p553]: 4,18;
(§ 8.5)[p560]: 3,4,6
- HW#9(b) [Due 10/23]: (§ 11.1)[p684]: 4,18,24,27,28,30,40,46;
(§ 11.2)[p694]: 11,12,17,20,36,37,38,44,48
- Exam 2 [10/26 (Mon)]
- HW#10(a) [Due 11/3]: (§ 11.2)[p694]: 37,38,48,49;
(§ 11.3)[p703]: 6,7,12,16,30,35;
(§ 11.4)[p709]: 1,2,4,6,8,9,12,16,17,24;
(§ 11.5)[p713]: 4
- HW#10(b) [Due 11/6]: (§ 11.5)[p713]: 3,7,8,10,13,14,24,27,28,32;
(§ 11.6)[p719]: 2,3,4,10,11,12,13,14
- HW#11(a) [Due 11/10]: (§ 11.6)[p719]: 8,17,21,23,25,28;
(§ 11.7)[p722]: 1,7,8,14,18,22,25,31,38
- HW#11(b) [Due 11/12]: (§ 11.8)[p727]: 3,4,6,10,11,14,15,16,18,29,30
- HW#12(a) [Due 11/17]: (§ 11.9)[p733]: 5,6,7,8,13,14,15,16,27,28;
(§ 11.10)[p746]: 9,16,25,31,43
- HW#12(b) [Due 11/23]: (§ 11.10)[p746]: 20,28,34,45,55,56,62,63
- Exam 3 [11/24 (Tue)]
- Final Exam Date & Time: TBA
Additional Information
- Last day to drop/add classes is 8/29; Last day to withdraw from a course is 11/13.
- Free tutoring is available at Math Lab (OM 317, OM 318).
The hours for the Tutoring center will be:
Sun: 6pm -- 10pm;
Mon--Thurs: 10am -- 10pm;
Fri: 10am -- 2pm
Of course, you are also very welcome to my office (WT 304B).
- If you have a disability for which accommodations and support are necessary,
please let me know. Also contact the office of Disability Support Services
at (716) 888-3748.
: Weekly quiz, as well as some additional information or assignments will be given
through ANGEL.
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