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Course:
MATH 392A 01
Full Title:
Topics in Abstract Algebra
Prerequisites:
Prerequisite: MATH 321.
Description:
Topics vary but can include field and Galois theory, geometric and combinatorial group theory, representation theory, number theory, algebraic number theory, commutative algebra, algebraic geometry, arithmetic geometry, advanced linear algebra, algebraic coding theory and cryptography, algebraic topology, homological algebra, and graph theory, May be repeated for degree credit if the topic is different.
Winter 2021, MATH 392A-01: Topics in Abstract Algebra: Algebraic Number Theory (3). Prerequisite: MATH 321. Number theory studies questions about the integers (among other things). As an example, the equation x^2 + y^2 = z^2 defines a cone in three-dimensional space. A number theorist might ask for the integer triples (x,y,z) that satisfy this equation. These are also called Pythagorean triples since (ignoring signs) they arise as the side lengths of right-angled triangles. You may be aware that (3,4,5) and (5,12,13) are such triples. Are there others? Can they be described in a systematic fashion? What happens if we change the equation? In this course, we'll see how these sorts of questions can be addressed. Ideas and tools from algebra such as modular arithmetic and the notion of unique factorization in various systems will play central roles. Bush.
Credits:
3
FDR:
Type:
Instructor:
Bush, Michael R.
Meets:
MWF 2:30p-3:35p
Location:
Chavis ARR
Current Active Limit:
15
Instructor Consent Required:
No
Books:
View Books Now
Expected Capacity:
15
Syllabus:
No syllabus has been provided.
Additional Scheduling Notes:
All scheduled meetings will be virtual.
Close Details
Course Offerings for Ugrad 2020-21 Winter
Last Updated:
11/26/2021 9:30:46 PM
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M 8:00a-9:35a
M 11:30a-12:35p
M 1:00p-2:05p
M 1:00p-2:50p
M 2:30p-3:35p
M 2:30p-5:35p
M 2:30p-6:35p
M 4:00p-5:35p
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MF 1:00p-2:05p
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MTWF 11:30a-12:35p
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MTWF 4:00p-5:05p
MTWR 1:00p-2:05p
MTWR 6:10p-7:10p
MTWRF 10:00a-11:05a
MTWRF 11:30a-12:35p
MTWRF 1:00p-2:05p
MTWRF 2:30p-3:35p
MW 8:00a-8:50a
MW 8:00a-9:35a
MW 8:30a-9:35a
MW 8:30a-9:55a
MW 9:00a-9:50a
MW 10:00a-11:05a
MW 10:00a-12:05p
MW 11:15a-12:05p
MW 11:30a-12:35p
MW 1:00p-2:05p
MW 1:00p-3:05p
MW 2:30p-3:35p
MW 3:30p-5:35p
MW 4:00p-5:35p
MW 4:00p-6:05p
MW 4:30p-6:05p
MW 7:00p-8:35p
MW 7:35p-9:40p
MWF 8:00a-10:05a
MWF 8:30a-9:30a
MWF 8:30a-9:35a
MWF 10:00a-11:05a
MWF 10:30a-12:35p
MWF 11:30a-12:35p
MWF 1:00p-2:05p
MWF 1:00p-3:05p
MWF 2:30p-3:35p
MWF 3:30p-5:35p
MWF 4:00p-5:05p
MWF 4:30p-6:35p
MWF 5:00p-6:05p
MWF 5:30p-6:35p
T 8:00a-9:35a
T 8:30a-9:35a
T 8:30a-11:35a
T 10:00a-11:05a
T 10:00a-11:35a
T 10:30a-12:35p
T 12:00p-1:35p
T 1:00p-2:05p
T 1:00p-2:50p
T 1:30p-3:35p
T 2:30p-4:05p
T 2:30p-5:35p
T 2:30p-6:35p
T 3:30p-4:30p
T 3:30p-5:35p
T 4:00p-5:05p
T 4:30p-6:05p
T 7:00p-8:35p
TR 8:00a-8:35a
TR 8:00a-8:50a
TR 8:00a-9:35a
TR 8:30a-9:35a
TR 8:35a-10:10a
TR 9:55a-11:30a
TR 10:00a-11:05a
TR 10:00a-11:35a
TR 10:30a-12:35p
TR 11:00a-12:05p
TR 11:30a-12:35p
TR 12:00p-1:35p
TR 12:30p-1:20p
TR 1:00p-2:05p
TR 1:00p-2:35p
TR 1:00p-3:05p
TR 1:30p-3:35p
TR 1:30p-5:05p
TR 1:35p-2:10p
TR 2:00p-3:35p
TR 2:30p-4:05p
TR 2:35p-3:10p
TR 3:30p-5:35p
TR 3:35p-4:25p
TR 4:30p-6:00p
TR 4:30p-6:05p
TR 5:00p-7:05p
TR 7:00p-8:35p
W 10:00a-11:05a
W 11:30a-12:35p
W 12:30p-2:30p
W 1:00p-2:05p
W 1:00p-2:50p
W 1:00p-3:00p
W 2:30p-5:35p
W 2:30p-6:35p
W 4:00p-5:35p
W 4:30p-6:35p
WF 8:45a-9:35a
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WF 2:15p-3:50p
WF 2:30p-3:35p
WR 10:30a-12:00p
R 8:00a-9:35a
R 8:00a-12:00p
R 8:00a-12:05p
R 8:30a-9:35a
R 8:30a-11:35a
R 10:00a-11:35a
R 10:30a-12:35p
R 12:00p-1:35p
R 1:00p-2:50p
R 1:30p-5:35p
R 2:30p-4:05p
R 2:30p-5:35p
R 2:30p-6:35p
R 3:00p-5:35p
R 3:30p-5:35p
R 4:30p-6:05p
R 7:35p-10:10p
F 8:30a-9:35a
F 10:00a-11:05a
F 11:30a-12:35p
F 12:45p-1:45p
F 1:00p-2:05p
F 1:30p-2:35p
F 2:00p-3:55p
F 2:30p-3:35p
F 2:30p-5:35p
F 4:00p-6:05p
F 6:15p-7:20p
Faculty:
-Any-
-STAFF-
Abrams, Aaron D.
Abry, Andrea C.
Adams, Edward A.
Al-Ahmad, Jumana S.
Alexander, Brian N.
Alty, Lisa T.
Anderson, Michael A.
Archer, Clover H.
Artwick, Thomas B. (Tom)
Assante, Sarah E.
Ayoub, Nadia A.
Ball, Gordon V.
Ballenger, Robert M. (Bob)
Barongan, Maria C. (Christy)
Bassiouny, Aliaa I.
Beanland, Kevin J.
Beavers, Leigh A.
Bell, Alison K.
Bell, Melina C.
Bello, David A.
Belmont, Carlys E. (Beth)
Benefiel, Rebecca R.
Bent, George R.
Bhalla, Nandini
Bidlack, Richard H. (Rich)
Billias, Anna G.
Birkhoff, Neil V.
Blunch, Niels-Hugo (Hugo)
Blythe, Sarah N.
Bond, Johanna E.
Botta, Monica B.
Bovay, John C. (Jack)
Bowden, Christa K.
Bowden, Nathan P.
Bower Maxham, Amanda
Boylan, Scott J.
Brindle, Ryan C.
Brock, Michelle D. (Mikki)
Brodie, Laura F.
Brodsky, Anna
Brooks, Mackenzie K.
Brown, Alexandra R.
Bush, Michael R.
Buske, Sheryl L.
Cantey, Joseph M. (Seth)
Carico, Shelby R.
Carralero, Kelsie A.
Carroll, Megan
Casey, James F. (Jim)
Charley, Marisa S.
Chen, Yingqi (Kiki)
Chin, Lynn G. (Lynny)
Churchill, Brandyn F.
Clancy, Christine K.
Clark, Jordan J.
Coddington, Mark A.
Cohen, Brandon J.
Colbert, Cory H.
Collins, Owen
Colliton, James G. (Gavin)
Colon, Aly A.
Comerford, ShaLeigh
Connors, Christopher D. (Chris)
Cook, Emily K.
Cooper, Gregory J. (Greg)
Coughlin, Hayley C.
Cowins, Elicia P.
Crockett, Roger A.
Crotty, Kevin M.
Cumming, Douglas O.
Cunningham, Neil
Dager, Michael J. (Mike)
Dance, Caleb M.
Davies, Martin H.
de Lissovoy, Sandy B.
Dennie, Nneka D.
Desjardins, Steven G. (Steve)
Detwiler, David A.
Dick, James
Dobbins, Christopher L. (Chris)
Dobbins, Heather F.
Dobin, Howard N. (Hank)
Donovan, Bernadette M.
Dresden, Gregory P.
Eastwood, Jonathan R. (Jon)
Edwards, Anthony
Elder, Robert M.
Ellis, Danielle E. (Dani)
Engle, Matthew L.
Erdrich, Heidi E.
Erickson, Jonathan C. (Jon)
Evans, Shawn Paul
Fafatas, Stephan A.
Feldman, Nathan S.
Filler, Emily A.
Finch, Kevin D.
Finch-Smith, Carrie E.
Fisher, Chelsea R.
Fox, Gavin L.
Freeman, Dana L.
Freeman, Jonathan J. (Jon)
Friend, Janice E.
Friend, John K. (Kyle)
Fuentes, Freddy O.
Fulcher, Megan
Gardner, Kateri A. (Kami)
Garvis, Dennis M. (Denny)
Gavaler, Christopher P. (Chris)
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Gent, Madeline L.
Gertz, Genelle C.
Gilbert-Olson, Elisabeth K.
Gildner, Robert M. (Matt)
Goldberg, Nathaniel J.
Goldsmith, Arthur H. (Art)
Goluboff, Sascha
Goodbarn, Grace
Goudimova, Julia
Grajzl, Peter
Gray, Erin E.
Gray, Stuart J. (Stu)
Green, Leah N. (Leah Naomi)
Greer, Mary L. (Lisa)
Guse, Aaron J. (Joseph)
Gyscek, Peter J.
Hamilton, Eugene W. (Bill)
Handy, Christopher M. (Chris)
Harbor, David J.
Hardin, Patricia
Hardy, Stephen R.
Harper, Jesse J.
Harris, Rebecca C.
Haskett, Christian P. (Chris)
Hellwig, Tammi M.
Hernandez, Julia C.
Hess, Andrew M. (Drew)
Hess, Megan F.
Hill, Michael D.
Hinkle, Margaret A.
Hodge, Kimberly S. (Kim)
Holt, Amy-Ruth
Hooks, Linda M.
Houck, Ramona (Mona)
Humston, Robert
Hurd, Lawrence E. (Larry)
I'Anson, Helen
Ikeda Yuba, Janet
Irani, Afshad J.
Irby, Cynthia G. (Cindy)
Jasiewicz, Krzysztof
Jenney, Christopher B.
Jensen, John A.
Johnson, Dan R.
Johnson, Jimmie M.
Johnson, Vaughn C.
Jones, Robert W. (Bobby)
Junkunc, Marc T.
Kahn, James R. (Jim)
Kaiser, Carl P.
Kamara, Mohamed
Kane, Julie N.
Kang, Li
Kao, Stacey
Kearney, Kimberley M.
Kerin, Melissa R.
Kester, George W.
Khalifa, Moataz
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King, Elliott H.
Kipfer, Jamie D.
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Kosky, Jeffrey L.
Kuehner, Joel P.
LaBerge, Logan E.
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Larson, Keri M.
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Lu, Kefu
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Markowitz, Harvey J.
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Mazilu, Irina
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McCormick, Stephen P.
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McRae, Alan
Meythaler, Sandra P.
Michelson, Seth R.
Mickel, Jason T.
Millan, Diego A.
Miller, Jessica R.
Miranda, Deborah A.
Mish, Robert W.
Moffa, Eric D.
Murdock, Karla
Murphy, Erin J.
Myers, Barton A.
Nakada, Michiko
Narayanan, Sandhya K.
Naven, Matthew (Matt)
Ness, Erin G.
O'Brien, Brendan W.
O'Brien, Brooke D.
Olan, Lorriann T. (Lorri)
Oldaker, Erica K.
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Olson-Janjic, Kathleen
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Pickett, Howard Y.
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Ponce de Leon Seijas, Zoila
Prager, Debra N.
Prince Nelson, Sybil
Radsky, Alex G.
Radulescu, Domnica V.
Rahl, Jeffrey M.
Reid, Colin D.
Reino, Jayne E.
Reistrup, Gordon P.
Reyes, Antonio
Ricciardi, Victor (Vic)
Rodriguez-Newhall, Amanda D.
Rohde, Ryan H.
Roney, Kristina M.
Roots, Jaime W.
Rubina, Iuliia (Yulia)
Rupke, Nicolaas A.
Rush, Mark E.
Rutkowski, Todd C.
Sackman, Andrew M.
Sanchez, Shaundel
Sandberg, Stephanie L.
Schatten, Jeffrey M.
Schucker, Matthew B.
Shank, Katherine M. (Katie)
Shearer, Nathan W.
Shester, Katharine L.
Sigler, Haley W.
Simurda, Maryanne C.
Smigrod, Claudia M.
Smith, Donna M.
Smout, Kary
Snyder, Bryan L.
Spalding, Brandon P.
Sprenkle, Sara E.
Staples, Beth A.
Steele, Taylor J.
Stevens-Lubin, Laure A.
Stewart, Robert E. (Bob)
Straub, Alan J.
Strong, Robert A. (Bob)
Sukow, David W.
Sundie, Jill M.
Swasy, Alecia
Tanlu, Lloyd J.
Taylor, Erin P.
Taylor, John M.
Teaff, Elizabeth A.
Thakur-Wernz, Pooja
Toporikova, Natalia
Trimmer, Philip C. (Phil)
Trimmer, S. Morris (Morris)
Tuchler, Matthew F. (Matt)
Uffelman, Erich S.
Uhl, Brandon J.
Uzzell, Lynn E.
Vise, Melissa E.
Vosbein, Terry
Walle, Taylor F.
Wappel, Jaclyn M.
Watanabe Petty, Shuko
Watson, Cody A.
Watson, Fiona L.
Weissman, Jeremy L.
Weissman, Rebecca E.
White, Theodore W. (Ted)
Whiting, Wythe L.
Whitworth, Gregg B.
Williams, Matthew S. (Matt)
Williamson, Joshua D.
Williamson, Scott M.
Wills, Regina A. (Gina)
Winder, Charles T.
Woodzicka, Julie A.
Yewell, Katherine G. (Katie)
Youngman, Julia F. (Julie)
Youngman, Paul A.
Zhang, Tianbo (Alice Tianbo)
Zhu, Yanhong
Building:
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109 S. Jefferson
Chavis Hall
Development Building
Duchossois Athletic and Recreation Ctr
Early-Fielding Mem Bldg
Elrod Univ Commons
Howe Hall
Huntley Hall
James G. Leyburn Library
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Leyburn Lawn/Courtyard
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Natatorium
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Reid Hall
Ruscio Center for Global Learning
Science Addition
SVU
Sydney Lewis Hall
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VMI
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AFY
MATH-100-01
ART OF MATHEMATICAL THINKING
3
FM
Finch-Smith, Carrie E.
No
24
MWF 8:30a-9:35a
Class will meet in person, in smaller groups, on Mondays and Wednesdays only. All other class meetings will be virtual.
LeybLwn TENT
AFY
MATH-100-02
ART OF MATHEMATICAL THINKING
3
FM
McRae, Alan
No
22
M 8:00a-9:35a
WF 8:45a-9:35a
DARC 432
DARC 432
AFY
MATH-101-01
CALCULUS I
3
FM
Feldman, Nathan S.
No
24
MWF 10:00a-11:05a
All scheduled meetings will be virtual.
Chavis ARR
AFY
MATH-101-02
CALCULUS I
3
FM
Dresden, Gregory P.
No
30
MWF 11:30a-12:35p
All scheduled meetings will be virtual.
Chavis ARR
AFY
MATH-101-03
CALCULUS I
3
FM
Dresden, Gregory P.
No
30
MWF 1:00p-2:05p
All scheduled meetings will be virtual.
Chavis ARR
AFY
MATH-101-04
CALCULUS I
3
FM
Beanland, Kevin J.
No
30
TR 12:00p-1:35p
All scheduled meetings will be virtual.
Chavis ARR
AFY
MATH-101-05
CALCULUS I
3
FM
Beanland, Kevin J.
No
30
TR 2:30p-4:05p
All scheduled meetings will be virtual.
Chavis ARR
AFY
MATH-102-01
CALCULUS II
3
FM
Dresden, Gregory P.
No
32
MWF 8:30a-9:35a
All scheduled meetings will be virtual.
Chavis ARR
AFY
MATH-102-02
CALCULUS II
3
FM
Bush, Michael R.
No
22
MTF 10:00a-11:05a
W 10:00a-11:05a
Class will meet in person on Wednesday only. All other class meetings will be virtual.
Chavis ARR
Chavis 208
AFY
MATH-102-03
CALCULUS II
3
FM
Bush, Michael R.
No
22
MTF 11:30a-12:35p
W 11:30a-12:35p
Class will meet in person on Wednesday only. All other class meetings will be virtual.
Chavis ARR
Chavis 208
AFY
MATH-121-01
DISCRETE MATHEMATICS I
3
FM
Abrams, Aaron D.
No
24
TR 10:00a-11:35a
All scheduled meetings will be virtual.
Chavis ARR
MATH-201-01
BRIDGES TO ADVANCED MATH
3
SC
Oldaker, Erica K.
No
16
MWF 10:00a-11:05a
Chavis 107
MATH-201-02
BRIDGES TO ADVANCED MATH
3
SC
Colbert, Cory H.
No
18
MWF 2:30p-3:35p
All scheduled meetings will be virtual.
Chavis ARR
AFY
MATH-221-01
MULTIVARIABLE CALCULUS
3
SC
Oldaker, Erica K.
No
20
MWF 8:30a-9:35a
Chavis 208
AFY
MATH-221-02
MULTIVARIABLE CALCULUS
3
SC
Hardy, Stephen R.
No
18
M 11:30a-12:35p
WF 11:30a-12:35p
Faculty will provide additional details on the required in-person meeting times.
Huntley 221
Chavis ARR
AFY
DS
DSBA
MATH-222-01
LINEAR ALGEBRA
3
SC
Hardy, Stephen R.
No
16
M 2:30p-3:35p
WF 2:30p-3:35p
Faculty will provide additional details on the required in-person meeting times.
Chavis 105
Chavis ARR
DS
DSBA
MATH-310-01
MATHEMATICAL STATISTICS
3
Prince Nelson, Sybil
No
15
TR 10:00a-11:35a
All scheduled meetings will be virtual.
Chavis ARR
MATH-311-01
REAL ANALYSIS
3
Colbert, Cory H.
No
21
MWF 4:00p-5:05p
All scheduled meetings will be virtual.
Chavis ARR
MATH-321-01
ABSTRACT ALGEBRA
3
Finch-Smith, Carrie E.
No
15
W 11:30a-12:35p
MF 11:30a-12:35p
Class will meet in person on Wednesdays only. All other class meetings will be virtual.
LeybLwn TENT
Chavis ARR
MATH-332-01
ORDINARY DIFFERENTIAL EQUATION
3
Feldman, Nathan S.
Yes
15
MWF 8:30a-9:35a
All scheduled meetings will be virtual.
Chavis ARR
MATH-343-01
GEOMETRY
3
McRae, Alan
No
21
TR 10:00a-11:35a
Chavis 208
MATH-392A-01
TOPICS IN ABSTRACT ALGEBRA
3
Bush, Michael R.
No
15
MWF 2:30p-3:35p
All scheduled meetings will be virtual.
Chavis ARR
MATH-393A-01
TOPICS:EXPERIMENTING WITH GEOM
3
Abrams, Aaron D.
No
15
TR 12:00p-1:35p
All scheduled meetings will be virtual.
Chavis ARR
MATH-493-01
HONORS THESIS
3
Finch-Smith, Carrie E.
Yes
2
Chavis ARR
MATH-493-02
HONORS THESIS
3
Beanland, Kevin J.
Yes
1
Chavis ARR
MATH-493-03
HONORS THESIS
3
Abrams, Aaron D.
Yes
1
Chavis ARR
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