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MACS 33000 - Computational Mathematics and Statistics Camp (Pre-Fall 2018)

Dr. Benjamin Soltoff Sanja Miklin (TA) Nora Nickels (TA)
Email [email protected] [email protected] [email protected]
Office 209 McGiffert Hall 420 Rosenwald Hall 205 McGiffert Hall
GitHub bensoltoff smiklin nnickels
  • Meeting day/time: September 4-21, MTWThF 10-3pm
  • Location: 101 Stuart Hall

Course description

This course surveys mathematical and statistical tools that are foundational to computational social science. Topics to be reviewed include mathematical notation and functions, linear algebra, calculus, probability theory, statistical inference, and linear regression. Students are assumed to have encountered most of these topics previously, so that the camp serves as a refresher rather than teaching entirely new topics. Class sessions will emphasize problem solving and in-class exercises applying these techniques. Students who successfully complete the camp are situated to pass the MACSS math and statistics placement exam and enroll in computationally-enhanced course offerings at the University of Chicago without prior introductory coursework.

Who should take this course

  • Students in the Masters in Computational Social Science
    • Computational economists seeking to enroll in PhD courses in the Department of Economics should instead enroll in the Economics Doctoral Math Camp
    • All other incoming Computation students are expected to enroll in this math camp
  • MA and PhD students in the social sciences who have significant prior training and experience in mathematics and statistics and seek to complete the Certificate in Computational Social Science
  • Students looking for a slower-paced camp focused specifically on algebra, calculus, and probability should enroll in SOSC 30100 - Mathematics for Social Sciences. This two-week course runs from September 10-21 and makes no assumption of prior math/stats training. Those of you who struggle with the material of this course may switch after the first week to SOSC 30100.

Grades

This course may only be taken for pass/fail, not for a letter grade or audit. Assignments are comprised of daily problem sets which you will work on in class. You are encouraged to work in groups, and the instructional staff is available for consultation during class hours. We expect most students should be able to finish the problem sets during class hours. Grades will be based upon performance on the problem sets.

Disability services

If you need any special accommodations, please provide us with a copy of your Accommodation Determination Letter (provided to you by the Student Disability Services office) as soon as possible so that you may discuss with me how your accommodations may be implemented in this course.

Core texts

Electronic copies of both books are available for free at the links above. OpenIntro statistics is open-source, while Essential mathematics is accessible via the UChicago library (authentication required). Hard copies are available via the campus bookstore or your friendly online retailer.

Course schedule

Date Topic Subtopic Readings Slides Assignment
Sept. 3 No class (Labor Day)
Sept. 4 The basics Intro to CSS, notation, and functions Gill ch 1 Basics PS1
Sept. 5 Linear algebra Vectors, matricies, and operations Gill ch 3 Vectors, Matricies, and Operations PS2
Sept. 6 Linear algebra Matrix structure Gill ch 4 Matrix Structure PS3
Sept. 7 Calculus Single variable Gill ch 5 Scalar Calculus PS4
Sept. 10 Calculus Multivariable Gill ch 6 Multivariable Calculus PS5
Sept. 11 Calculus Optimization Optimization PS6
Sept. 12 Probability Probability OpenIntro ch 2 Probability PS7
Sept. 13 Probability Random variables OpenIntro ch 3 Random Variables PS8
Sept. 14 Statistical inference Foundations for statistical inference OpenIntro ch 4 Bayesian vs. Frequentist Inference PS9
Sept. 17 Statistical inference Inference for numerical/categorical data OpenIntro ch 5.1-5.3, 6.1-6.4 Inference for numerical/categorical data PS10
Sept. 18 Statistical inference Linear regression OpenIntro ch 7 Ordinary least squares PS11
Sept. 19 Statistical inference Linear regression OpenIntro ch 8.1-8.3 Ordinary least squares PS12
Sept. 20 Statistical inference Logistic regression OpenIntro ch 8.4 Logistic regression PS13
Sept. 21 Statistical inference Generalized linear models Generalized linear models PS14

More detailed readings explanation

  • The basics
    • Read it all
  • Linear algebra
    • Gill ch 3 - don't worry much about 3.6
    • Gill ch 4 - don't worry much about 4.9
    • It might be helpful to skim Gill ch 2.1-2.3.2 for some basic terminology regarding trigonomic functions

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Computational math and stats camp for UChicago MACSS program

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