CRN 11982: Final Projects - Revision history

HelmutKnaust at 20:58, 5 December 2019

2019-12-05T20:58:16Z

HelmutKnaust at 01:05, 19 November 2014

2014-11-19T01:05:26Z

HelmutKnaust at 23:27, 17 November 2014

2014-11-17T23:27:51Z

HelmutKnaust at 21:59, 13 November 2014

2014-11-13T21:59:10Z

HelmutKnaust at 21:49, 13 November 2014

2014-11-13T21:49:12Z

HelmutKnaust: Created page with "The final project will account for 25% of your course grade. Groups of three students each will work on one of the final projects. *Deliverables consist of a complete wri..."

2014-11-05T08:37:09Z

Created page with "*The final project will account for 25% of your course grade. *Groups of three students each will work on one of the final projects. *Deliverables consist of a complete wri..."

New page

*The final project will account for 25% of your course grade.

*Groups of three students each will work on one of the final projects.

*Deliverables consist of a complete written solution (target length: five pages) and a 15-minute presentation. (There are some starred projects with no written report.) The paper does not need to be typeset if the handwriting is legible. Don't forget to include the references you use!

*The projects will be presented during the last class day and the final exam period on '''Monday, December 8, at 13:00-15:45.''' The accompanying papers are due before the start of the presentations.

*The student group will be graded as a group. All group members must contribute to both the written solution and the presentation in equal parts. If members of a group feel that one member is not contributing in a meaningful way, they can ask me to remove the particular student from their group.

*The group will be graded foremost on the mathematical correctness and mathematical clarity of their presentation and their written report. Other criteria include the completeness of the written report, the quality of the group presentation, making effective use of the allotted time, and staying within the time frame of 15 minutes for the oral presentation.

*Projects will be assigned on '''Wednesday, November 12'''.

*'''Topics:'''
# The Schroeder-Bernstein Lemma (Exercise 1.4.13)
# Dirichlet’s and Abel’s Tests (Exercises 2.7.12-2.7.14)
# [http://helmut.knaust.info/class/201410_3341/RRComp.pdf A comparison of the Root and Ratio tests]* (W. Rudin, Principles of Mathematical Analysis)
# [http://helmut.knaust.info/class/201410_3341/DSCP.pdf Double Series and the Cauchy product]* (E. Hairer and G. Wanner, Analysis by Its History)
# Perfect Sets* (Section 3.4, 1st part)
# Connected Sets (Section 3.4, 2nd part)
# Sets of Discontinuity (Section 4.6)
# [http://helmut.knaust.info/class/201410_3341/Euler-M.pdf The Euler-Mascheroni Constant]
# A Continuous Nowhere Differentiable Function (Section 5.4)
# Uniform Convergence I* (Section 6.2, pp. 154-157)
# Uniform Convergence II* (Section 6.2, pp. 157-160, including Theorem 6.2.6)
# The Cantor Function (Exercise 6.2.13)
# The Arzela-Ascoli Theorem (Exercises 6.2.15, 6.2.16)

@@ Line 24: / Line 24: @@
 # '''Adolfo, Josue, Kristina, Pedro:''' Connected Sets (Section 3.4, 2nd part)
 # Sets of Discontinuity (Section 4.6)
-# '''Juan, Manuel, Raymond:''' [http://helmut.knaust.info/class/201410_3341/Euler-M.pdf The Euler-Mascheroni Constant]
+# '''Juan, Manuel, Raymond:''' [http://helmut.knaust.info/class/202010_3341/Euler-M.pdf The Euler-Mascheroni Constant]
 # A  Continuous Nowhere Differentiable Function (Section 5.4)
 # Uniform Convergence I* (Section 6.2, pp. 154-157)

← Older revision		Revision as of 01:05, 19 November 2014
Line 30:		Line 30:
	# '''Adriana, Angel, Blanca:''' The Cantor Function (Exercise 6.2.13)		# '''Adriana, Angel, Blanca:''' The Cantor Function (Exercise 6.2.13)
	# '''Joanna, Paula, William:''' The Arzela-Ascoli Theorem (Exercises 6.2.15, 6.2.16)		# '''Joanna, Paula, William:''' The Arzela-Ascoli Theorem (Exercises 6.2.15, 6.2.16)
		+
		+
		+	[http://helmut.knaust.info/BD/Gallian.pdf Advice on Giving a Good PowerPoint Presentation], by Joseph Gallian.

@@ Line 23: / Line 23: @@
 # '''America, Jesus, Mary:''' Perfect Sets* (Section 3.4, 1st part)
 # '''Adolfo, Josue, Kristina, Pedro:''' Connected Sets (Section 3.4, 2nd part)
-# '''Juan, Manuel, Raymond:''' Sets of Discontinuity (Section 4.6)
+# Sets of Discontinuity (Section 4.6)
-# [http://helmut.knaust.info/class/201410_3341/Euler-M.pdf The Euler-Mascheroni Constant]
+# '''Juan, Manuel, Raymond:''' [http://helmut.knaust.info/class/201410_3341/Euler-M.pdf The Euler-Mascheroni Constant]
 # A  Continuous Nowhere Differentiable Function (Section 5.4)
 # Uniform Convergence I* (Section 6.2, pp. 154-157)

← Older revision		Revision as of 21:59, 13 November 2014
Line 12:		Line 12:

	*Projects will be assigned on '''Wednesday, November 12'''.		*Projects will be assigned on '''Wednesday, November 12'''.
		+
		+	*Projects 1,2,3,6 will be presented on December 3; the rest on December 8, at 13:00-15:45.

@@ Line 15: / Line 15: @@
 *'''Topics:'''
-# The Schroeder-Bernstein Lemma (Exercise 1.4.13)
+# '''Delilah, Elizabeth, Jennifer:''' The Schroeder-Bernstein Lemma (Exercise 1.4.13)
-# Dirichlet’s and Abel’s Tests (Exercises 2.7.12-2.7.14)
+# '''Graciela, Jazmin, Julianna:''' Dirichlet’s and Abel’s Tests (Exercises 2.7.12-2.7.14)
-# [http://helmut.knaust.info/class/201410_3341/RRComp.pdf A comparison of the Root and Ratio tests]* (W. Rudin, Principles of Mathematical Analysis)
+# '''Alexandra, Earlyne, Ruby, Sarah:''' [http://helmut.knaust.info/class/201410_3341/RRComp.pdf A comparison of the Root and Ratio tests]* (W. Rudin, Principles of Mathematical Analysis)
-# [http://helmut.knaust.info/class/201410_3341/DSCP.pdf Double Series and the Cauchy product]* (E. Hairer and G. Wanner, Analysis by Its History)
+# '''Christy, Magdalena, Martha:''' [http://helmut.knaust.info/class/201410_3341/DSCP.pdf Double Series and the Cauchy product]* (E. Hairer and G. Wanner, Analysis by Its History)
-# Perfect Sets* (Section 3.4, 1st part)
+# '''America, Jesus, Mary:''' Perfect Sets* (Section 3.4, 1st part)
-# Connected Sets (Section 3.4, 2nd part)
+# '''Adolfo, Josue, Kristina, Pedro:''' Connected Sets (Section 3.4, 2nd part)
-# Sets of Discontinuity (Section 4.6)
+# '''Juan, Manuel, Raymond:''' Sets of Discontinuity (Section 4.6)
 # [http://helmut.knaust.info/class/201410_3341/Euler-M.pdf The Euler-Mascheroni Constant]
 # A  Continuous Nowhere Differentiable Function (Section 5.4)
 # Uniform Convergence I* (Section 6.2, pp. 154-157)
 # Uniform Convergence II* (Section 6.2, pp. 157-160, including Theorem 6.2.6)
-# The Cantor Function (Exercise 6.2.13)
+# '''Adriana, Angel, Blanca:''' The Cantor Function (Exercise 6.2.13)
-# The Arzela-Ascoli Theorem (Exercises 6.2.15, 6.2.16)
+# '''Joanna, Paula, William:''' The Arzela-Ascoli Theorem (Exercises 6.2.15, 6.2.16)