Syllabus for MA  425H, Spring 2008

1.    Instructor:  J. E. Franke
Office:  HA 205
Office Hours:  9:00 - 10:00  MWF, 1:15 - 2:00 Tues/Th or by appointment
Phone Number:  515-2381
E-mail address:  franke@math.ncsu.edu
Homepage:  http://www.math.ncsu.edu/~franke
2. Goals and Objectives:
 MA 425 is an introduction to mathematical analysis. Students will
3. Textbook:
Introduction to Real Analysis, Third Edition, by Robert G. Bartle and Donald R. Sherbert.  Price $100.

Outside web based reading:
	http://web01.shu.edu/projects/reals/

Outside reading:

A tour of the calculus / David Berlinski. QA303 .B488 1995
4. Topics and estimated days allocated to each topics:
 
 
 Chapter  Sections Lectures   Topics
1  1.1-1.3 & Appendix A
2 Preliminaries, Review of 225
2  2.1-2.5 6 Real Numbers
3 3.1-3.5 (3.7 optional)
8 Sequences
4 4.1-4.3 3 Limits
5 5.1-5.4, 5.6 7
Continuous Functions 
6 6.1-6.2 (6.4 optional)
5
Differentiation
7 7.1-7.3 6 The Riemann Integral
8 8.1-8.2 2 Sequences of Functions
9
9.1-9.4
If time permits
Series

 
 
 
 
 
 

5. Tentative schedule of reading assignments
 

Read the sections to be covered for the week.
6. Tentative schedule of homework due dates, quizzes and tests
Homework will be worked on in groups.  Thursdays will be used for class presentations with the written work turned in on Fridays.

There will be three Tests, scheduled depending on class progress.

The final is on Monday, April 28 at 1:00 pm. It is a 3 hour test.

7. Determination of grades:

Weight Category of Assignment
15 %
Homework and quizzes
 20 % 
Test 1
 20 % 
Test 2
 20 % 
Test 3
 25 % 
Final Examination

Range Grade
97.6 <= X <= 100    A+ 
92.3 <= X < 97.6    A 
90.0  <= X < 92.3    A- 
87.6 <= X < 90.0    B+ 
82.3 <= X < 87.6    B 
80.0 <= X < 82.3    B- 
77.6 <= X < 80.0    C+ 
72.3 <= X < 77.6    C 
70.0 <= X < 72.3    C- 
67.6 <= X < 70.0    D+ 
62.3 <= X < 67.6    D 
60.0 <= X < 62.3    D- 
X < 60    F 

 

8. Policy on incomplete grades and late assignments:
Late homework assignments will not be graded.

The policy on incomplete grades is consistent with Grading Policies in Chapter 5 of the Handbook on Advising at
http://www.ncsu.edu/provost/academic_policies/grading/reg.htm


 

9. Policy on absences (excused and unexcused) and scheduling makeup work:

The attendance policy is consistent with the Academic Regulations which can be found at http://www2.ncsu.edu/unity/project/www/ncsu/provost/info/academic_regulations/attend/reg.htm (link)

In addition, the following clarifications are used in this course:  Excused absences are required for making up a missed test.

10. Course Prerequisites / Restrictive Statements:

        MA 225 (MA 407 desirable).
        More information is available at : http://www2.acs.ncsu.edu/reg_records/crs_cat/MA.html (link)

11. Academic Integrity Statement:

Students are expected to follow university guidelines available at http://www.ncsu.edu/provost/academic_regulations/integrity/reg.htm (link)
12. NC State policy on working with students with disabilities:
Reasonable accommodations will be made for students with verifiable disabilities.  In order to take advantage of available accomodations, students must register with Disability Services for Students at 1900 Student Health Center, Campus Box 7509, 515-7653.  For more information on NC State's policy on working with students with disabilities, please see the Academic Accommodations for Students with Disabilities Regulation (REG02.20.1)  Information can be found at http://www2.ncsu.edu/ncsu/stud_affairs/counseling_center/dss/ (link)
13. Statement on laboratory safety or risk assumption in courses requiring physical activity or field trips:
None
14. Statement on "pass-through" charges e.g. , lane rental at bowling alley, field trip costs, etc.:
None
Further Information:
NCSU Academic Regulations can be found at http://www2.ncsu.edu/unity/project/www/ncsu/provost/info/academic_policies/ (link)

15.  Homework
Indiviual Turn-In
Group Turn-In
Extra not turned in
Due date
Page 11 # 13, 20b Page 11 # 1, 8, 11
P. 11 # 4, 5, 12, 16, 17, 18 1/11
Page 15 #14
Page 29 # 4
Page 15 # 3
Page 21 # 8, 11
Page 29 # 3b, 8
P. 16 # 6
P. 21 # 3, 4, 10
P. 29 # 1, 6, 7
1/18
Page 34 # 15
Page 30 # 10b, 19
Page 34 #  6b
P. 30 # 13, 22, 25
P 34 # 1, 2, 5, 14, 16
1/25
Page 38 # 5
Page 43 # 6
Page 38 # 3
Page 43 # 2, 18
Page 50 # 7
P. 38 # 1, 2, 4, 6, 8, 10
P. 43 # 1, 4, 7, 13, 14
P. 50 2, 6, 8, 9
2/1
Page 59 # 8
Page 67 # 4
Page 59 # 5c, 7
Pagae 67 # 1b, 6b, 15d
P. 59 # 1, 2, 3 a,d, 8, 16
P. 67 # 2b, 5, 8, 11,16,17, 22
2/11
Page 74 # 9
Page 74 # 2
P. 74 # 4, 6, 13a 2/15
Page 80 # 5
Page 86 # 12
Page 88 # 6
Page 80 # 14
Page 86 # 7
Page 88 # 3
P. 80 # 1, 6, 7, 10, 12, 16
P. 86 # 2, 3, 9
2/22
Page 104 # 14
Page 110 # 4
Page 118 # 8
Page 124 # 6
Page 104 # 9a
Page 110 # 10
Page 118 # 2
Page 124 #  5, 11
P. 104 # 1, 3, 6, 12
P. 110 # 1, 2, 5, 9, 13, 14
P. 118 # 3, 5, 8, 9
P. 124 # 3, 4, 8, 12, 13
2/29
Page 128 # 5, 11
Page 135 # 2
Page 128 #  7
Page 135 # 17, 18
P. 128 # 1, 2, 4, 6, 9,
P. 135 # 1, 4, 6, 11, 19
3/14
Page 144 # 3a
Page 155 # 6
Page 144 # 1, 8
Page 155 # 10
P. 144 # 2, 4, 5, 7, 10, 12, 14
P. 155 # 2, 3, 8, 9, 12
3/17
Page 167 #  9, 13 Page 167 # 2, 4 P. 167 # 1c, 5, 6, 8, 10, 11 3/28
Page 175 #  8, 14
Page 191 # 8
Page 175 # 5, 7
Page 191 # 4
P. 175 # 1d, 2b, 3c, 6, 9, 10,12,15
P. 191 # 1, 2, 5
4/4
Page 201 # 8, 9
Page 209 # 2, 10,  16
Page 201 # 4a, 11
Page 209 # 7, 12
P. 201 # 1c, 2c, 7, 10, 14
P. 209 # 1, 3, 5, 8, 11, 13, 15, 19
4/11
Page 217 # 12, 15
Page 217 # 3, 5, P. 217 # 1, 2,  5, 6, 9, 14,20 4/14


P. 232 # 1, 7, 8, 11, 17, 18, 21
P. 238 # 1, 2, 3, 4, 6, 8, 9, 10,12, 15, 16, 17, 19