**MTH 1120-03
Term II 2009-10**

**MATHEMATICAL ANALYSIS II**

5-6:30 pm Room E 239

PREREQUISITES: Level of competency equivalent to MTH 111. No reviewing of this material will take place in this class.

INSTRUCTOR: Dr. M. S. Skaff Office: E204 Telephone: (313) 993-3376

E-Mail: skaffms@udmercy.edu

**OFFICE HOURS**: 11:00am- 11:50 am MWF or any time the office door is open, or by
appointment.

**TEXT BOOK**: Brief
Calculus by Larson, 8^{th} Edition, Houghton-Mifflin Publisher, 2009,
ISBN: 0-618-95847-9 or 978-0-618-95847-4

**COURSE
OBJECTIVES**. In Math 111, students developed the algebraic
skills needed to analyze, graph, and understand the basic properties of a
function. This course refines those skills by introducing calculus concepts. These refinements include understanding and
using limits, derivatives, and integrals. With these new techniques, the
student can find maximum and minimum points, areas under curves, marginals (cost, revenue, and profit), average and
instantaneous rates of change, consumer and producer surpluses, point of diminishing returns, tangent lines to
functions, and develop mathematical models of real business applications.

To illustrate the practical use of calculus, students will be asked to complete project assignments which involve analyzing data. This data represents information defined by some practical problem. One method which may be employed to study the behavior of the data is regression analysis. Students will be shown how to set up the data and use regression tools if this method is needed.

COURSE OUTCOMES. After taking this course, a student should be able to understand:

1. Limits of functions.

2. How limits are connected to continuity, derivatives, and integrals.

3. Derivatives.

4. Solving optimization problems including cost, revenue, and profit.

5. Points of diminishing returns.

6. Differentials and Marginal Analysis.

7. Exponential growth and decay models.

8. Antiderivatives and indefinite integrals.

9. Fundamental Theorem of Calculus and definite integrals.

10. Finding areas under curves and applications involving consumer and

producer surpluses.

11. Approximation of definite integrals as a limit of sums.

**MTH 1120-03
Term II 2009-10 p. 2**

**MATHEMATICAL ANALYSIS II**

**EXAMINATIONS**. There will be three (3) closed book hour
examinations and a final exam. These tests will be taken using BLUEBOOKS. These
bluebooks (4 of them) can be purchased in the book store. Do so no later than Jan
20, 2010. Put your name and MTH 112 on
the cover. No books, computers, calculators or cell phones will be allowed on
any examination. Students may bring a single 8.5x11 sheet of paper with notes
for each exam. Exams will contain multiple choice questions. All exams will be graded using a curve rather
than straight scale.

**SPECIAL
EXAM RULES**. (1) Exams will
start at the beginning of the designated class time. No additional time will be
allowed especially if a student arrives late. Be on time. (2) Students are
responsible for pencils or pens to take exams. None will be provided by the
instructor. (3) No test will be given to
a student who has not turned in a bluebook. (4) Tests will begin only after all
materials are removed from the desktop. Any loss of time (due to excess talking
or delays in removing materials) will not be made up. (5) One hour exam score or project score will be
dropped from calculation of final grade but not the final exam score. If any exam is missed or not submitted, that
exam or project score is chosen as the “dropped” score. If more than two scores
are missing, a grade of F will be given for the missing scores. (6) NO MAKEUP EXAMS will be given.

**DATES for EXAMS,
HOMEWORK, and PROJECT ASSIGNMENTS**

Dates for all graded assignments are listed on the attached
class schedule. Homework dates are in
RED, Project dates are in GREEN, and Exam dates are in

**EXAM DATES**. Please mark your calendars.

Exam 1. Monday Feb 08, 2010

Exam 2. Wednesday Mar 17, 2010

Exam 3. Wednesday Apr 14, 2010

Final Exam. Monday December 26, 2010 from 5-6:50pm

**PROJECT DATES**.

Project 1. Monday Feb 01, 2010

Project 2. Monday Mar 01, 2010

Project 3. Monday Mar 29, 2010

**MTH 1120-03
Term II 2009-10 p. 3**

**MATHEMATICAL ANALYSIS II**

**HOMEWORK DATES**. Sections for the homework (HW) assignments
are in parentheses. All assignments due dates are tentative or estimates.
Specific times will be given by the instructor.

HW 1 (1.3-1.5) 01/20/10 HW2 (1.6, 2.1, 2.2) 01/27/10

HW 3 (2.3-2.5) 02/03/10 HW4 (2.6-2.7) 02/15/10

HW 5 (3.1-3.3) 02/22/10 HW6 (3.4,3.5,3.8) 03/03/10

HW 7 (4.3,4,5,4.6) 03/23/10 HW8 (5.1-5.3) 03/31/10

HW 9 (5.4-5.6) 04/07/10 HW10 (6.1,6.2, 6.4) 04/21/10

IMPORTANT NOTE FOR PROJECT AND HOMEWORK DUE DATES:

1) Each day that an assignment is late will lose 25 points.

2) Once an assignment is returned to the class with answers, no late assignment will be accepted.

**GRADING**. The final grade for the course is determined
by the following percentages:

Hour exams: 40%

Graded Homework: 15%

Projects: 15%

Class attendance and participation: 5%

Final Exam: 25%

Note: Class participation includes attendance, attention, no late arrivals or early departures, no miscellaneous talking not related to the class lecture, and general interest in the class. Use of cell phones during class lectures and exams

are prohibited.

**IMPORTANT FACTS**. Last day to drop class No W: Jan 15, 2010

No class Days: Jan 18, 2010, Mar 08-12, 2010

Last day to withdraw with “W”: April 1, 2010

**ACADEMIC
INTEGRITY**. Everything
submitted for grading is expected to be a student’s own work. Anything
suspected as being otherwise the case will be dealt with according to
University and College policies.

**MTH 1120-03 Term II 2009-10
p. 4**

**MATHEMATICAL ANALYSIS II**

**CHAPTER
MATERIAL**. The following
sections will be covered (as time allows).

__Chapter
Sections__

0 None. Assumed as prerequisite Mth 111 material

1 1.1 to 1.3 review , 1.4 to 1.6 start of course material

2 2.1 to 2.7

3 3.1 to 3.5, 3.8

4 4.3, 4.5, 4.6 (4.1, 4.2, 4.4 Mth 111 material)

5 5.1 to 5.6, Consumer/producer surpluses in 5.5, 5.6

6 6.1, 6.2, 6.4