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Math in the City - Fall 2011 Math in the City - Fall 2011 Ananthnarayan Hariharan, Lauren Keough University of Nebraska-Lincoln Friday, December 2nd, 2011 Ananthnarayan Hariharan & Lauren Keough Math in the City - Fall 2011 Friday, December 2nd, 2011 1 / 14

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Page 1: Math in the City - Fall 2011math-mitc/materials/Fall2011MitC.pdf · Lectures: Mathematical Modeling (John Harte: Consider a Spherical Cow) Lectures: Linear Programming (Course Materials

Math in the City - Fall 2011

Math in the City - Fall 2011

Ananthnarayan Hariharan, Lauren Keough

University of Nebraska-Lincoln

Friday, December 2nd, 2011

Ananthnarayan Hariharan & Lauren Keough (UNL) Math in the City - Fall 2011 Friday, December 2nd, 2011 1 / 14

Page 2: Math in the City - Fall 2011math-mitc/materials/Fall2011MitC.pdf · Lectures: Mathematical Modeling (John Harte: Consider a Spherical Cow) Lectures: Linear Programming (Course Materials

Semester Outline

Before the semester

Meet the collaborators

Data collection and analysis

Data examples

Topics and broad questions

Group 1 - BudgetingGroup 2 - InvestingGroup 3 - Investing ++

Ananthnarayan Hariharan & Lauren Keough (UNL) Math in the City - Fall 2011 Friday, December 2nd, 2011 2 / 14

Page 3: Math in the City - Fall 2011math-mitc/materials/Fall2011MitC.pdf · Lectures: Mathematical Modeling (John Harte: Consider a Spherical Cow) Lectures: Linear Programming (Course Materials

Semester Outline

Beginning of the semester

Days 1 - 5:

Lay the ground rules: LyX (Journals and Homework), Dropbox, Doodle.Assign homework 1 (writing assignment on relevant topics)

Homework 1 Example

Form groups and assign project topics.Collaborators’ presentation and introduction to the data.

Weeks 3 - 5.

Lectures: Mathematical Modeling (John Harte: Consider a SphericalCow)Lectures: Linear Programming (Course Materials 2010)

Ananthnarayan Hariharan & Lauren Keough (UNL) Math in the City - Fall 2011 Friday, December 2nd, 2011 3 / 14

Page 4: Math in the City - Fall 2011math-mitc/materials/Fall2011MitC.pdf · Lectures: Mathematical Modeling (John Harte: Consider a Spherical Cow) Lectures: Linear Programming (Course Materials

Semester Outline

Middle of the semester

Homework

Homework 2 - Estimation and Mathematical ModelingHomework 3 - Linear Programming

Sage presentation

Memos1 An estimation problem2 Concrete questions (Student Example)3 Sage worksheet

Visit the Collaborators’ workplace

Writing Presentation

Ananthnarayan Hariharan & Lauren Keough (UNL) Math in the City - Fall 2011 Friday, December 2nd, 2011 4 / 14

Page 5: Math in the City - Fall 2011math-mitc/materials/Fall2011MitC.pdf · Lectures: Mathematical Modeling (John Harte: Consider a Spherical Cow) Lectures: Linear Programming (Course Materials

Semester Outline

End of the semester

Memos

IntroductionMath Section

Presentations

Background and QuestionsMathematics

Deadlines

Final report first draftPresentation slides

Ananthnarayan Hariharan & Lauren Keough (UNL) Math in the City - Fall 2011 Friday, December 2nd, 2011 5 / 14

Page 6: Math in the City - Fall 2011math-mitc/materials/Fall2011MitC.pdf · Lectures: Mathematical Modeling (John Harte: Consider a Spherical Cow) Lectures: Linear Programming (Course Materials

Writing Assignment and Report

Guidelines

Readability

Graphs and Tables

Organization into Sections

Grammar

Credible and Relevant Sources and Resources

Ananthnarayan Hariharan & Lauren Keough (UNL) Math in the City - Fall 2011 Friday, December 2nd, 2011 6 / 14

Page 7: Math in the City - Fall 2011math-mitc/materials/Fall2011MitC.pdf · Lectures: Mathematical Modeling (John Harte: Consider a Spherical Cow) Lectures: Linear Programming (Course Materials

Writing Assignment and Report

Grading the Writing Assignment/Report

1 Content

2 Examples

3 Clarity & Grammar

4 Overall Style & Presentation

5 Organization

6 Introduction & Conclusion

7 Accessibility

Ananthnarayan Hariharan & Lauren Keough (UNL) Math in the City - Fall 2011 Friday, December 2nd, 2011 7 / 14

Page 8: Math in the City - Fall 2011math-mitc/materials/Fall2011MitC.pdf · Lectures: Mathematical Modeling (John Harte: Consider a Spherical Cow) Lectures: Linear Programming (Course Materials

Overall Grading Scheme

Overall Grading Scheme

20% Homeworks

30% Project participation (documented through student journals,communication with team and instructors, participation in specialsessions)

35% Project (memos, intermediate drafts, final report)

15% Performance during oral presentation (understanding of thework, communication skills, quality of the slides)

Ananthnarayan Hariharan & Lauren Keough (UNL) Math in the City - Fall 2011 Friday, December 2nd, 2011 8 / 14

Page 9: Math in the City - Fall 2011math-mitc/materials/Fall2011MitC.pdf · Lectures: Mathematical Modeling (John Harte: Consider a Spherical Cow) Lectures: Linear Programming (Course Materials

Tools

Tools Used

Sage: Mathematical Software for Linear Programming, etc.

Dropbox: Sharing files online

Blackboard: Sharing confidential files (e.g., Journals)

LyX: Latex without the learning curve

Doodle: Easy scheduling

Other mathematical software and programming languages

Ananthnarayan Hariharan & Lauren Keough (UNL) Math in the City - Fall 2011 Friday, December 2nd, 2011 9 / 14

Page 10: Math in the City - Fall 2011math-mitc/materials/Fall2011MitC.pdf · Lectures: Mathematical Modeling (John Harte: Consider a Spherical Cow) Lectures: Linear Programming (Course Materials

Tools

LyX Example

Ananthnarayan Hariharan & Lauren Keough (UNL) Math in the City - Fall 2011 Friday, December 2nd, 2011 10 / 14

Page 11: Math in the City - Fall 2011math-mitc/materials/Fall2011MitC.pdf · Lectures: Mathematical Modeling (John Harte: Consider a Spherical Cow) Lectures: Linear Programming (Course Materials

Summary

Things We Liked

“Hands-off” approach

Journals

Memos

Presentations

Tools: Sage, Dropbox, LyX, Doodle

Ananthnarayan Hariharan & Lauren Keough (UNL) Math in the City - Fall 2011 Friday, December 2nd, 2011 11 / 14

Page 12: Math in the City - Fall 2011math-mitc/materials/Fall2011MitC.pdf · Lectures: Mathematical Modeling (John Harte: Consider a Spherical Cow) Lectures: Linear Programming (Course Materials

Summary

Things We Were Not Happy With

“Hands-off” approach

Fall Break

Thanksgiving Break

Presentations

Tools: Blackboard

Ananthnarayan Hariharan & Lauren Keough (UNL) Math in the City - Fall 2011 Friday, December 2nd, 2011 12 / 14

Page 13: Math in the City - Fall 2011math-mitc/materials/Fall2011MitC.pdf · Lectures: Mathematical Modeling (John Harte: Consider a Spherical Cow) Lectures: Linear Programming (Course Materials

Summary

Challenges

Open ended problems

Making and justifying assumptions

Data

Student projects using high level mathematics

Last minute programming issues

End of the semester stress

Ananthnarayan Hariharan & Lauren Keough (UNL) Math in the City - Fall 2011 Friday, December 2nd, 2011 13 / 14

Page 14: Math in the City - Fall 2011math-mitc/materials/Fall2011MitC.pdf · Lectures: Mathematical Modeling (John Harte: Consider a Spherical Cow) Lectures: Linear Programming (Course Materials

Summary

Why we chose to teach this course

Ananth

Mathematics and Talent Search Programme (India)AdaptabilityReal Life Mathematical Models

Lauren

For the love of mathExperience to repeatLearning

Ananthnarayan Hariharan & Lauren Keough (UNL) Math in the City - Fall 2011 Friday, December 2nd, 2011 14 / 14

Page 15: Math in the City - Fall 2011math-mitc/materials/Fall2011MitC.pdf · Lectures: Mathematical Modeling (John Harte: Consider a Spherical Cow) Lectures: Linear Programming (Course Materials

Summary

Questions?

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