Office Hours: 10:15 -
11:15 MWF, 1:30 - 2:30 Th and by appointment
E-mail address:
franke@math.ncsu.edu
Office: SAS 3222
Phone Number: 919-515-2381
Class meeting times: 9:10 - 10:00
MWF
This course does not satisfy the Math GER.
Description: This course was designed for
math majors as a bridge between the lower level problem solving
courses (calculus and differential equations) and the required
upper level proof-based courses (MA 407 and MA 425). In MA 225 the
course content includes the basic proof techniques and the
logical basis of those proof techniques as well as the special
technique of math induction. In addition, we go over relations
and equivalence relations, functions and cardinality which are
all topics that will be needed in later courses. More
importantly, the student is expected to begin to think
mathematically and to write proofs and problem explanations in a
clear, concise and logical fashion.
Topics and Times
Chapter 1: all (3-4 weeks)
Chapter 2: 2.1-2.5 (3-4 weeks)
Chapter 3: 3.1-3.2 (1-2 weeks)
Chapter 4: 4.1-4.3 (2-3 weeks)
Chapter 5: 5.1-5.3 (2-3 weeks)
Students should read the next section in the book before coming to class.
There will be three tests, weekly quizzes and a final exam.
The final exam is from 8:00-11:00 on Wednesday, Dec. 11.There will be approximately 10 - 14 homework assignments, due about every week or week and a half.
There will be individual and group assignments.
Weight | Category of Assignment |
---|---|
|
Homework and weekly quizzes |
|
Test 1 |
|
Test 2 |
|
Test 3 |
|
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 |
Late homework will not be graded.
Attendance is expected in all classes.
Students who miss 3 or fewer classes may count their lowest
test as half a test.
If you miss a test, I will need a letter documenting the reason.
Makeup tests can only be given for reasons such as illness, family
emergency, participation in a University-sponsored event, required
court attendance or military duty, or religious observances as
certified by the Department of Student Development.
If you know you will be absent on a test date, you must clear the absence with me in advance and schedule a makeup date. In the case of an unanticipated absence on a test date, you must give me documentation and schedule a makeup date as soon as possible. See the University policies.
NCSU policy, including what constitutes an 'Excused Absence,' is at this link.
Students are required to follow NCSU policy available at www.ncsu.edu/provost/academic_regulations/integrity/reg.htm. "Academic dishonesty is the giving, taking, or presenting of information or material by a student that unethically or fraudulently aids oneself or another on any work which is to be considered in the determination of a grade or the completion of academic requirements or the enhancement of that student's record or academic career." (NCSU Code of Student Conduct)
The Student Affairs web site has more information (http://www.ncsu.edu/student_affairs/osc/AIpage/acaintegrity.html).
"I have neither given nor received unauthorized aid on this test or assignment."
This has been outlined above
NCSU Academic Regulations can be found at
http://www.ncsu.edu/studenthandbook/policies/index.php (link)
Q. Homework
Individual Turn in |
Group Turn in |
Extra not turned in |
Date |
Page 7 # 1d, 2g, 3j, Page 15 # 1c,g, 2g |
Page 7 # 5f, 8c,9b, 11i Page 15 # 8c, 9d, 13c |
Page 7 # 4,6,7,10,12,13 Page 15 # 1,2,3,4,5,6,8,9,10,11 |
8/30 |
Page 25 # 1 c, k , 2c, 6c, 8j, 9f, 10g | Page 25 # 1 a, b, f,n, 2n, 8a, c, 10b, i,j, 11c, 13 | Page 25 # 1 d, 2d, 3, 5, 6a, 8b, e,h, 9b,d, 10a, d, i, 14 | 9/11 |
Page 37 # 1a, 2, 3, 5d, 7h, 11a | Page 37 # 1e, 6d, 7d, 9a, 10c, 11c | Page 37 # 1, 2, 4, 5e, 7g, 10c, 11b | 9/16 |
Page 46 # 1b, 3c | Page 46 # 1d, 1e, 6d, 8, 12d | Page 46 # 2, 3, 4, 6, 10, 12b | 9/18 |
Page 57 # 1b,e, 6b, 7g Page 65 # 2b, |
Page 57 # 2a, 4c, 5b, 7h Page 65 # 2e, 4a, 6a |
Page 57 # 1a,c,f, 2b, 3,
5c,6c,g, 7 a,b,d Page 65 # 1e, 7a, 9a,c 11a,b,f,g,i, 12c,g |
10/4 |
Page 77 # 4h, 5f, 7, 17h, 19b Page 86 # 1j, 3h, 6d, 9a, 11b, 13a, Page 96 # 1b,d,k, 9b, 13, 18c |
Page 77 # 1f, 5d, 6d, 8, 13, 14d Page 86 # 5, 10e, 12b, 15c, 16a, 19c Page 96 # 1h,n, 10c, 12, 14a,b, 18d |
Page 77 # 2 Page 86 # 1a,c,e,g,i,2b,d,h,3a,d,g,4,6a,9c,10c,11a,c,e, 12a,d,13b,15a,19a,b,d,e Page 96 # 1a, c, e, g,i,p,2,4a,b, 5a, 6a, 7a, 8c,9a,10a,b, 15c,17a,18a,b,e |
10/16 |
Page 109 # 2c,d, 5e, 6g, 13f Page 120 # 1a, 6a, 8 |
Page 109 # 7c, 8b, 13a Page 120 # 2, 6b, 13a |
Page 109 # 1b,d,f, 2b,e, 5c,6a,7b,i,8a, Page 120 # 5a,d, 6d,7, 9, 12b,13b |
10/21 |
Page 144 # 1, 5a,h, 7a,c,f, 15e | Page 144 # 2b,3b,4f,9,15f | Page 144 # 5,6,7c8a | 11/8 |
Page 153 # 1b,f,g, 2b,f, 5c, 7, 14, 19b Page 191 # 1d,f 6c, 19b |
Page 153 # 4, 5f, 11, 15b, 19a Page 191 # 3g, 4d, 12, 14, 19a |
Page 153 # 1,2,3,12,13,15, 18 Page 191 # 1a,3a,d,4a,5a |
11/15 |
Page 202 # 1b,2b, 5g, 10, 20b Page 210 # 1g, 2g, 5, 8d, 14g |
Page 202 # 3b, 7, 14c, 20c Page 210 # 1L, 2L, 4, 6, 8b, 14c |
Page 202 # 1a,c,e,i,2,3a,5a,c,9a,13,14a,20a Page 210 # 1a,c,k,2,8a,e,9c,11a,14a,d |
11/20 |
Page 240
#2a,c,e,f,6a,7,9,10,11c,13,15,18,19,20,21b,22b Page 249 # 3a,e,4a,b,d,6a,7a,c,e,12a,c,d Page 258 # 11, 13b,15a |
Exam |
||
Page 57 # 1b,e, 6b, 7g Page 65 # 2b, Page 77 # 4h, 5f, 7, 17h, 19b |
Page 57 # 2a, 4c, 5b, 7h Page 65 # 2e, 4a, 6a Page 77 # 1f, 5d, 6d, 8, 13, 14d |
Page 57 # 1a,c,f, 2b, 3,
5c,6c,g, 7 a,b,d Page 65 # 1e, 7a, 9a,c 11a,b,f,g,i, 12c,g Page 77 # 2 |
|
Page 86 # 1j, 3h, 6d, 9a,
11b, 13a, Page 96 # 1b,d,k, 9b, 13, 18c |
Page 86 # 5, 10e, 12b, 15c,
16a, 19c Page 96 # 1h,n, 10c, 12, 14a,b, 18d |
Page 86 #
1a,c,e,g,i,2b,d,h,3a,d,g,4,6a,9c,10c,11a,c,e,
12a,d,13b,15a,19a,b,d,e Page 96 # 1a, c, e, g,i,p,2,4a,b, 5a, 6a, 7a, 8c,9a,10a,b, 15c,17a,18a,b,e |
|
Page 109 # 2c,d, 5e, 6g, 13f Page 120 # 1a, 6a, 8 |
Page 109 # 7c, 8b, 13a Page 120 # 2, 6b, 13a |
Page 109 # 1b,d,f, 2b,e,
5c,6a,7b,i,8a, Page 120 # 5a,d, 6d,7, 9, 12b,13b |
|
Page 144 # 1, 5,7,15e | Page 144 # 2b,3b,4f,9,15f |
Page 144 # 5,6,7c8a |
|
Page 153 # 1b,f,g, 2b,f, 5c,
7, 14, 19b |
Page 153 # 4, 5f, 11, 15b,
19a |
Page 153 # 1,2,3,12,13,15, 18 |
|
Page 191 # 1d,f 6c, 19b Page 202 # 1b,2b, 5g, 10, 20b Page 210 # 1g, 2g, 5, 8d, 14g |
Page 191 # 3g, 4d, 12, 14,
19a Page 202 # 3, 7, 14c, 20c Page 210 # 1L, 2L, 4, 6, 8b, 14c |
Page 191 # 1a,3a,d,4a,5a Page 202 # 1a,c,e,i,2,3a,5a,c,9a,13,14a,20a Page 210 # 1a,c,k,2,8a,e,9c,11a,14a,d |
|
Page 240
#2a,c,e,f,6a,7,9,10,11c,13,15,18,19,20,21b,22b Page 249 # 3a,e,4a,b,d,6a,7a,c,e,12a,c,d Page 258 # 11, 13b,15a |
|||
Page 195 # 3 f, 11, 12c, 19 c Page 205 # 1 j, 2 j, 4 12a |
Page 195 # 10 Page 205 # 8b,f |
Page 195 # 1 a,c,e,i 2,3a,c,e
7a,14a,d 15d 16a,19a, Page 205 # 1a,c,k 2,3a,8a,e,9c,10a,11a,c, 15b,16c,f,17a,c, |
|
Page 228 # 3, 6, 11, 12, 21 Page 235 # 1, 2, 3, 4, 5, 6, 7, 12 Page 245 # 2, 8b,c,f |
Last updated December 24, 2010