Jason G. Douma

Associate Professor of Mathematics

Natural Sciences Area Chair

Department  of Mathematics and Computer Science
University of Sioux Falls
1101 West 22nd Street
Sioux Falls, South Dakota  57105
 
Voice:                     (605) 331-6750
Fax:                        (605) 331-6615
Office:                     Salsbury Science Center 116
Email:                      jason.douma@usiouxfalls.edu
 

 

 

Weekly Schedule (Spring 2008)

 
Time
Monday
Tuesday
Wednesday
Thursday
Friday
8:00-8:50 Nature of Mathematics (7:45 - 8:50) Office Hours   Nature of Mathematics (7:45 - 8:50) Volunteer at Garfield Elementary Nature of Mathematics (7:45 - 8:50)
9:00-9:50 Office Hours        ""     College Algebra   Help Session
10:00-10:50        ""

Chapel 

 

Faculty Forum

 
11:00-11:50     Office Hour  
12:00-12:50 Senior Seminar Foundations of Geometry (12:30) Meeting Foundations of Geometry (12:30) Natural Sciences Colloquium
1:00-1:50           ""            ""  
2:00-2:50     Office Hour  
3:00-3:50 Meetings Meetings Meetings    
4:00-4:50      ""   ""      ""    

 

Spring 2008 Classes

MAT151 Nature of Mathematics
    * Syllabus
    * For All Practical Purposes: Online Resources
    * Project Assignments
    * Essay Guidelines
    * Philosophy of Mathematics PowerPoint
 
MAT303 Foundations of Geometry
    * Syllabus
    * Toida's Introduction to Logic
    * Joyce's Online Edition of Euclid's Elements
    * Exploring Geometry Solutions
    * Philosophy of Mathematics PowerPoint
    * Metacognitive Response Rubric
 
MAT490/COM490 Senior Seminar II
    * syllabus
    * Mathematics/Computer Science Program Objectives
    * Seminar Presentation Evaluation Form
 

Fall 2007 Classes

MAT113 College Algebra (Help Sessions Only)
    * Syllabus
 
MAT204 Calculus I
    * Syllabus
    * Written Project Assignments
    * Semester Project Guidelines
    * Lab Guidelines
    * Mathematica pointers
    * Lab #1
    * Toolbox Functions Mathematica Notebook
 
MAT305 Abstract Algebra
    * Syllabus
 
MAT490/COM490 Senior Seminar I
    * syllabus
    * Mathematics/Computer Science Program Objectives
 

Spring 2007 Classes

MAT114 Functions (Recitations Only)
    * Syllabus
 
MAT151 Nature of Mathematics
    * Syllabus
    * For All Practical Purposes: Online Resources
    * Project Assignments
    * Essay Guidelines
    * Philosophy of Mathematics PowerPoint
    * Jeopardy! Questions
 
MAT205 Calculus II
    * Syllabus
    * Lab Guidelines
    * Mathematica pointers
    * Introduction to Mathematica (Lab Notebook Format)
    * Lab #1
    * Lab #2
    * Lab #3
    * Lab #4
    * Lab #5
    * Lab #6
    * Written Project Assignment
    * Guidelines for Formal Problem Solution
    * Review #1
    * Review #2
    * Review #3
    * Review #4
    * Jeopardy! Questions
 
MAT490/COM490 Senior Seminar
    * syllabus
    * Mathematics/Computer Science Program Objectives
    * seminar presentation evaluation form
 

Interim 2007 Class

MAT390 Truth and Beauty: Topics in the Philosophy of Mathematics
    * Syllabus
    * Key Questions
    * Chaitlin, "A Century of Controversy over the Foundations of Mathematics"
    * Bernays, "Platonism in Mathematics"
    * Hempel, "On the Nature of Mathematical Truth"
    * Detlovs, "Introduction to Mathematical Logic"
 

Fall 2006 Classes

MAT113 College Algebra (Recitations Only)
    * Syllabus
 
MAT151 Nature of Mathematics
    * Syllabus
 
MAT204 Calculus I
    * Syllabus
 

Spring 2006 Classes

LAR112 Western Heritages II
    * Syllabus
    * USF LAR Course Website
    * Essay Grading Indicators
    * Annotated Bibliography Assignment
    * Essay #1 Assignment
    * Essay #2 Assignment
    * Essay #3 Assignment
    * Capstone Project Information
    * Capstone Assignment #3
    * Plagiarism Exercise
    * Why 'Abstract' is not a Four-Letter Word
 
MAT303 Foundations of Geometry
    * syllabus
 

Fall 2005 Classes

LAR111 Western Heritages I
    * Syllabus
    * USF LAR Course Website
 
MAT151 Nature of Mathematics
 
MAT204 Calculus I
 
 

 

Other Recent Classes

    * MAT305 Abstract Algebra
    * MAT390 Truth and Beauty: Topics in the Philosophy of Mathematics
    * MAT390/ECO390 Game Theory
 

 

College Algebra Recitation Resources

    * InteractMath
    * Addison-Wesley Online Tutoring Center
 

 

 

USF Honors Program

Look here for more information about the USF Honors Program, including a printable application.

Coming soon...a resource page with events and opportunities for current USF honors students.

 

A Few Words About Who I Am    (only a few, lest I bore you to tears)

Some folks develop an interest in mathematics after witnessing its power or its utility in modeling the things we sense,

experience, or observe.  Others, like me, are drawn irresistibly to its beauty and elegance.  I love mathematics just as a

poet loves poetry or a musician loves music.  Don't get me wrong: I do value the wealth of insight we obtain from

mathematical models and applications.  (How else could I avoid exile from the Natural Sciences Area at USF?)  Still, if

all of its utility somehow vanished or washed away, mathematics--to me--would still have the power to move my spirit.

 

Biographically, I am a native Minnesotan and a graduate of Gustavus Adolphus College (mathematics major; music minor). 

In graduate school at Northwestern University, I studied group theory and algebraic topology under Stewart Priddy

I have been at the University of Sioux Falls since 1998.  I still maintain some research interests in group theory and

representation theory, and have also begun to develop some research interest in the philosophy of mathematics,

game theory, and a few miscellaneous topics of local interest.

 

More professional biographical information is included in my vita.

 

My wife, Kathie (also a Gustie), is the Director of Children's Ministries at First Presbyterian Church in Sioux Falls

Daughter Cecilia and son Elliot fill out the family picture.

 

Resources for Mathematics Students at USF

 

Resources for all Mathematicians (and Mathematicians at Heart)

Other Stuff

 


The fascinating image at the top of this page is a representation of Thomas Banchoff's "Flat Torus in the Three-Sphere."

More information on this and other interesting geometric and topological objects is available from the Geometry Center

at the University of Minnesota.

 

 

    * Mathematics on the Northern Plains semantics talk
    * USF Critical Thinking Workshop
    * Discovering Core Concepts in Probability and Statistics (ESA2 Title IIB Workshop)
    * Four Part Arrangement
 
 

Take Me To...
University of Sioux Falls        Mathematics and Computer Science Department        Jason Douma's Homepage