August 31, 2010
| Instructor:
Dr.
Arthur
Rosenthal |
E-mail: arosenthal@salemstate.edu |
| Office:
308I
Sullivan Bldg. |
Phone: 978-542-6392 |
| Internet home page: http://www.salemstate.edu/~arosenthal/ma221
|
Fax: 440-540-6733 |
Office hours:
Mon. 4:00 – 5:00 p.m.; Wed. 11:00 a.m. – 12:30 p.m.; Fri. 3:30 – 4:30 p.m.
Other times by
appointment or by chance
Required text:
Thomas'
Calculus Early Transcendentals: Part 1 (11th ed.) by Maurice D.
Weir, Joel Hass and Frank R. Giordano (Pearson/ Addison Wesley, 2006)
(ISBN 0321513398) or
Thomas' Calculus Early Transcendentals (11th ed.) by Maurice D.
Weir, Joel Hass and Frank R. Giordano (Pearson/ Addison Wesley, 2006)
(ISBN 0321511816)
All exams are required. Make-ups will be given, no later than 3 pm on Dec. 22, only if you notify me before the exam starts or as soon as possible and supply a reason. Unavoidable conflicts may be resolved by taking parallel exams before the scheduled date, if prior notice of one week is given to the instructor. Assignments submitted late are subject to a 10% penalty if submitted before any students receive their corrected solutions back in class; late assignments receive no credit if submitted after any students receive their corrected solutions back in class.
Most of the homework assignments will be found online in Course Compass. To set up your access to Course Compass, go to http://coursecompass.com and click on "Register" for students. Be sure to type in a valid e-mail address when asked. When asked for your Course ID, enter rosenthal52193 . If you used Course Compass with Thomas' Calculus 11th ed in a previous semester, you may use your log in name and password from the course you took previously. Otherwise, you will need an access code, which is included at no extra charge on a card if you buy a new textbook with ISBN: 0321513398 or 0321511816 . Otherwise, you will need to buy an access code for $75 from this web site. In addition to giving you access to the Course Compass assignments, your access code gives you online access to the full textbook.
It is your responsibility to attend as many classes as possible, to do all homework problems assigned in class, and to complete all course requirements. You are responsible for any topics or problems covered in class (whether or not you are present). Attendance will be spot-checked on at least three occasions.
The Mathematics Department strongly recommends that each student in this course purchase a graphing calculator comparable to the TI 83 or TI 84.
University Policy Statement:In the event of a university declared critical emergency, Salem State University reserves the right to alter this course plan. Students should refer to salemstate.edu for further information and updates. The course attendance policy stays in effect until there is a university declared critical emergency. In the event of an emergency, please refer to the alternative educational plans for this course located at http://www.salemstate.edu/~arosenthal/ma221. Students should review the plans and gather all required materials before an emergency is declared.
Last Day to Withdraw from the Course:Global Goals: This course is intended to provide the student with
Learning Objectives: The student will be able to do the following:
Course Requirements for Assessment:
| Assessment | Scheduled Dates | Learning Objectives | Percent of Grade |
| Homework | Due Dates given online | 1-17 | 20% |
| Test 1 | October 8 | 1, 2, 5, 6, 7 | 20% |
| Test 2 | November 5 | 1, 2, 3, 4, 6, 7, 8, 10, 11 | 20% |
| Cumulative Final Exam | December 20 | 1-8, 12-17 | 40% |
Tentative Schedule of Course Topics:
Class
Topics
Sections in Text
1
Integration:
Estimating with finite sums. The definite integral.
5.1
to 5.3
2
The
Fundamental Theorem of Calculus; indefinite integrals and the
substitution rule; area between curves.
5.4
to 5.6
3
Applications
of definite integrals: Volumes of solids of revolution, lengths of
plane curves.
6.1
to 6.3
4
Applications
of definite integrals: Centers of mass, area of a surface of revolution.
6.4
to 6.5
5
Integrals
and transcendental functions: Logarithms and exponential growth and
decay.
7.1
to 7.2
6
Relative
rates of growth; hyperbolic functions.
7.3
to 7.4
7
Techniques
of integration: Basic integration formulas; integration by parts.
8.1
to 8.2
8
Integrating
rational functions by partial fractions; trigonometric integrals and
substitutions.
8.3
to 8.5
9
Using
computer algebra systems to evaluate integrals, numerical integration;
improper integrals
8.6
to 8.8
10
Using
numerical integration techniques such as Simpson's Rule to approximate
integrals; improper integrals.
8.7
to 8.8
11
Infinite
sequences and series; using L'Hôpital's rule to find limits of
sequences.
11.1
to 11.2
12
Use
of the integral, comparison, ratio and root tests to determine
convergence of series.
11.3
to 11.5
13
Alternating
series; absolute and conditional convergence; Taylor series and power
series.
11.6
to 11.8
14
Convergence
of Taylor series; error estimates; differentiating and integrating
power series; applications of power series.
11.8
to 11.10
15
Final
exam
Bibliography: