Math 300 
Spring 2007

Students / Syllabus

Ron Buckmire
Contact / Home / Schedule

Course Schedule

Requirements / Comps Preparation

Math 300: Dynamic Course Schedule

Jan 23 Welcome. Go through the syllabus and rational for Junior Colloquium. Biography Game. "To TeX or not to TeX?" 

DUE JAN 30

  1. Fill out the "Math Major Declaration Form" and bring to class.
  2. Start thinking about an area of interest to research next week
Jan 30 Review former Comps Part 1 Exams. Take the Calculus Concepts Inventory. Discuss Summer Research Fellowship opportunities. Explore The Joy of TeX.

 HW: Visit the Mathematics Magazine and College Math Journal Search engine. Find 4 articles related to some area(s) of interest of yours. Locate and skim at least one of the articles.  Write 1-2 paragraph summaries of each article. Give oral presentation in next class.

DUE FEB 6

  1. Find 4 articles on a possible mathematical topic of interest.
  2. Prepare a 2-4 minute oral presentation on what you have found.

 

Feb 6 Consider applying for Summer Research (you get paid to do math!) Begin to explore The Joy of TeX (Here's one helpful manual I still use from my alma mater)

 HW: Write up one of the problems you had most difficulty answering on one of the Comps Part 1 Exams. Write up a detailed solution, showing all steps.

DUE FEB 13

  1. Hand in a 1-2 page type written draft solution of a Comps part 1 Exam question you found difficult

 

Feb 13 We'll discuss the 2004 and 2005 Comps Part 1 Exams. We will learn how to produce at least the abstract of a paper in TeX.

 HW:  Compile a list of the 10 most important concepts for each of the courses you are assigned (done by group)

DUE FEB 20

  1. Hand in the 10 Most Important Concepts summaries, one for each of the 5 fundamental courses: Calculus 1 (Sanchez, Ulloa & Joy), Calculus 2 (Ferenc, Steinberg & Cometto), Multivariable (Ulloa and Gillan), Discrete (Gillan, Ferenc & Sanchez) and Linear (Steinberg Cometto & Joy)
  2. Begin work on type-written solutions to the 2004 and 2005 Comps Exams in "course" groups.
Feb 20 We will discuss the ten most important concepts in each of the fundamental courses.

 HW: With your group members, begin to write up solutions to all of the Comps Part 1 exam questions for the fundamental courses that you are assigned.

DUE FEB 27

  1. Hand in a REVISED1-2 page type written solution of a Comps Part 1 Exam question you found difficult (Writing Assignment #1)
  2. Continue work on type-written solutions to the 2004 and 2005 Comps Exams in "course" groups.
Feb 27  We'll learn more techniques for publishing documents to the web. Yes, you'll each have your own website!)

DUE MAR 6

  1. Hand in type written solutions of the 2004 and 2005 Comps Exams  each of the 5 groups: Calculus 1 (Sanchez, Ulloa & Joy), Calculus 2 (Ferenc, Steinberg & Cometto), Multivariable (Ulloa and Gillan), Discrete (Gillan, Ferenc & Sanchez) and Linear (Steinberg Cometto & Joy)
  2. Begin work on Writing Assignment #2
Mar 6 You will take the 2006 Comps Part 1 Exam (Linear and Discrete sections) in class.

DUE MAR 20

  1. Hand in first draft of individual comprehensive survey of one of the fundamental courses of your choice (Writing Assignment #2)
Mar 20 We'll go over the Discrete and Calculus sections of the 2006 Part 1 Exam. You'll take the Multivariable section in class.

DUE MAR 27

  1. Hand in 2-page summaries of the 10 most important concepts in Multivariable Calculus, Linear Systems and Discrete Mathematics (1 per group). This will serve as the first draft of the "200-level" Gateway Help sheet for each of these Sophomore courses.
Mar 22 Senior Comps Presentations in 4:30-6:00pm in Fowler 112 by Math Major graduating Seniors Michael Carrillo, Ian Breckenridge-Jackson and Stefan Englert.
Mar 27 We'll review the graded 200-level 2006 Comps Part 1exam questions. Will also go over 2006 Single Variable Calculus problems.

DUE APR 3

  1. Hand in revised, final draft of individual comprehensive survey of one of the fundamental courses of your choice (Writing Assignment #2)
  2. Email me a paragraph describing  your career interests and/or short term goals so that the Campus Career Center can tailor their presentation to your specific needs.
Apr 3 The 2007 Comps Part 1 Exam will be from 1:30-4:30pm on this day in Fowler 108.

DUE APR 10

  1. Hand in (and email TeX files) revised drafts of 2-page help sheets (concept summaries) for Linear, Discrete and Multivariable gateways.
  2. Prepare individual oral presentation of the solution to a Comps Part 1 question from 2004 or 2005 (probably one that you had formally written up previously)
Apr 10 Field Trip to Career Center to find out more about "What can one do with a B.A. degree in Mathematics?"

DUE APR 24

  1. Hand in (and email TeX files) of drafts of Linear, Discrete and Multivariable gateway questions . (Ten per each course)
Apr 17 Break! (no class) (work on Gateway questions and Writing Assignment #3!)
Apr 24 We'll learn the difference between Matlab and Mathematica and begin thinking about Math 400 (Comps Part 2) topics. 8-minute Oral Presentation of Written-up Comps Part 1 questions.

DUE APR 31

  1. Hand in Writing Assignment #3 (1-3 page paper on a mathematical research topic of interest to you which COULD serve as a topic on which to do your Comps Part 2 Senior Project)
Apr 31 Last Day of class! 8-minute Oral Presentation of Written-up Comps Part 1 questions (continued).

Plotting a 3-D surface of z=2-x2+y2 with contours.

Using Matlab
x=linspace(-5,5,20);
y=linspace(-5,5,20);
[X,Y] = meshgrid(x,y);
Z=2-X.^2 +Y.^2;
surfc(x,y,Z);

Using Mathematica
Plot3D[2-x^2+y^2, {x,-5,5}, {y,-5,5}]
ContourPlot[2-x^2+y^2, {x,-5,5}, {y,-5,5}]