Syllabus for MA  425H Fall 2013

1.    Instructor:  J. E. Franke
Office:  SAS 3222
Office Hours:   10:15-11:15 MWF, 1:30-2:30 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, Fourth 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, Dec. 9 at 1:00 pm. It is a 3 hour test.

7. Determination of grades:

Weight Category of Assignment
18 %
Homework and quizzes
 18 % 
Test 1
 18 % 
Test 2
 18 % 
Test 3
 28 % 
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 10 # 5a, 7b, 11
Page 30 # 1c, 3d, 10a
Page 10 # 14, 16, 22b
Page 30 # 2b, 5, 8, 22
Page 10 # 1, 3, 6,7,10,15,18,19, 20,21,24
Page 30 # 4, 6,7,13, 19, 25
8/30
Page 35 # 5, 7
Page 35 # 17, 18
P. 35 # 1, 2, 6, 16
9/6
Page 39 # 7, 11
Page 44 #1, 4a
Page 39 # 3, 10 add nonempty
Page 44 # 2, 7, 8, 19
P. 39 # 1, 2, 4,  6, 9
P. 44 # 14,15
9/13
Page 52 # 9
Page 61 # 3a, 5c
Page 52 # 7
Page 61 # 8, 9, 10
P. 52 # 2, 6, 8
P. 61 # 1, 2, 3d, 7, 17, 18
9/20
Page 69 #2,  4
Page 77 # 2
Page 84 #4b, 14
Page 69 # 1b, 6b, 16d, 23
Page 77 #4, 9
Page 84 # 10, 12
P. 69 # 5, 8, 12, 15, 17, 18
Page 77 # 5, 6, 12a
Page 84 #1, 5, 16
10/4
Page 91 # 7
Page 93 # 1
Page 110 #6,  9d use the def.
Page 116 # 4, 5
Page 91 # 12
Page 93 # 3
Page 110 # 3, 12d, 15
Page 116 # 2b, 10, 15
Page 91 # 2, 3, 9
Page 110 # 1,  11,13
Page 116 # 1, 9, 14
10/18
Page 129 # 5
Page 133 # 5
Page 140 # 17
Page 129 # 6, 11
Page 133 # 7, 11
Page 140 # 13, 18
Page 129 # 3, 4, 8, 12, 13
Page 133 # 1, 2, 4, 6, 9
Page 140 # 1, 2, 4, 6, 11, 19
10/25
Page 148 # 1, 8
Page 160 # 3
Page 148 # 3a, 10, 12, 15
Page 160 # 6, 9
Page 148 # 2, 4, 5, 7, 14
Page 160 # 2, 3,  8,
10/30
Page 170 # 4, 6
Page 179 # 1d, 5
Page 170 # 9, 10
Page 179 # 8, 14
Page 170 # 1c,2,5,8,11,
Page 179 # 2b,3c,6,7,9,10,12,15
11/8
Hand out Page 241 # 2,5 Hand out Page 241 # 7,9,15 Page 241 # 3,8,12,13,14 11/15
Page 249 # 2, 11

Page 249 # 4, 8, 9

Page 249 # 1,7,12
Page 259 # 1,2,3,4,7,8,9,12
11/20








Page 10 # 3, 10
Page 30 # 3b, 10b
Page 35 # 17
Page 10 # 15, 22a
Page 30 # 2c, 4, 8, 19
Page 35 # 6b, 16
P. 10 # 1,5, 6, 7, 14, 16,18, 19, 20, 21, 24
P. 30 # 1, 6, 7, 13, 22, 25
P. 35 # 1, 2, 5, 18

Page 39 # 7, 11 Page 39 # 3, 10 add nonempty P. 39 # 1, 2, 4,  6, 9
Page 44 #1, 4a
Page 52 # 9
Page 44 # 2, 7, 8, 19
Page 52 # 7
P. 44 # 14,15
P. 52 # 2, 6, 8

Page 61 # 3a, 5c
Page 69 #2,  4
Page 61 # 8, 9, 10
Page 69 # 1b, 6b, 16d, 23
P. 61 # 1, 2, 3d, 7, 17, 18
P. 69 # 5, 8, 12, 15, 17, 18

Page 77 #2,
Page 84 #12, 14
Page 91 # 7
Page 77 #4, 9
Page 84 #5
Page 91 # 12
Page 77 # 5, 6, 12a
Page 84 #1, 10, 16
Page 91 # 2, 3, 9

Page 93 # 1
Page 110 #6,  9d use the def.
Page 93 # 3
Page 110 # 3, 12d, 15
Page 110 # 1,  11,13
Page 116 # 4, 5
Page 116 # 2b, 10, 15
Page 116 # 1, 9, 14

Page 129 # 5
Page 133 # 5
Page 140 # 17
Page 129 # 6, 11
Page 133 # 7, 11
Page 140 # 13, 18
Page 129 # 3, 4, 8, 12, 13
Page 133 # 1, 2, 4, 6, 9
Page 140 # 1, 2, 4, 6, 11, 19

Page 148 # 1, 8
Page 160 # 3
Page 148 # 3a, 10, 12, 15
Page 160 # 6, 9
Page 148 # 2, 4, 5, 7, 14
Page 160 # 2, 3,  8,


Page 170 # 4, 6
Page 179 # 1d, 5
Page 170 # 9, 10
Page 179 # 8, 14
Page 170 # 1c,2,5,8,11,
Page 179 # 2b,3c,6,7,9,10,12,15

Hand out Page 241 # 2,5 Hand out Page 241 # 7,9,15 Page 241 # 3,8,12,13,14

 
Page 246 # 1, 7, 11, 17, 18, 21, 23, 24
Page 252 #  1, 2, 3, 4, 6, 8, 9, 10, 12, 15













Page 249 # 1,2,4,7,8,9,11,12
Page 259 # 1,2,3,4,7,8,9,12




Page 246 # 1, 7, 11, 17, 18, 21, 23, 24
Page 252 #  1, 2, 3, 4, 6, 8, 9, 10, 12, 15




 



 








Page 124 # 5, 11
Page 128 # 5, 7
Page 135 # 2, 17
Page 124 # 6, 14, 15
Page 128 # 8, 11
Page 135 # 13, 18
Page 124 # 3, 4, 8, 12, 13
Page 128 # 1, 2, 4, 6, 9,
Page 135 # 1, 4, 6, 11, 19

Page 144 # 3a
Page 155 # 6
Page 167 # 4
Page 144 # 1, 8
Page 155 # 10
Page 167 # 2, 9
P. 144 # 2, 4, 5, 7, 10, 12, 14
P. 155 # 2, 3, 8, 9, 12
P. 167 # 1c, 5, 6, 8, 10, 11

Page 175 #  8, 14 Page 175 # 5, 7 P. 175 # 1d, 2b, 3c, 6, 9, 10,12,15
Page 201 # 6a, 8
Page 209 # 1, 10
Page 201 # 4a, 9
Page 209 # 2, 16
P. 201 # 1c, 2c, 7, 10, 11, 18
P . 209 # 3, 5, 7, 8, 11, 12, 13, 15, 17, 19

Page 217 # 1, 11, 12, 14 Page 217 # 3, 5, P. 217 #  2,  5, 6, 9, 20


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