Materials

Slides

  • Lecture slides PDF

Problem Sets

  1. Set Theory I PDF | Solutions PDF

  2. Set Theory II PDF | Solutions PDF

  3. Analysis I PDF | Solutions PDF

  4. Analysis II PDF | Solutions PDF

  5. Linear Algebra I PDF | Solutions PDF

  6. Linear Algebra II PDF | Solutions PDF

  7. Probability I PDF | Solutions PDF

  8. Probability II PDF | Solutions PDF

  9. Extra Exercise in Class PDF

Readings

Here are some recommended readings. You are not required to read all of those books prior to class.

  • General

    • Moore/Siegel (2013) An introductory mathematics course aimed at social scientists, provides good intuitions for basic concepts and applications. It has accompanying video lectures on Youtube.

    • Gill (2006) Another introduction to mathematical principles for incoming social science graduate students.

    • Simon/Blume (1994) A comprehensive treatment of mathematics for students of economics for both undergraduate and more advanced level.

    • Sydsaeter/Hammond (2008) Another standard mathematics textbook for economics undergraduates.

  • Calculus

    • Spivak (2006) A classic standard textbook for a first class in Calculus for mathematics students at undergraduate level.

    • Protter/Morrey (1991) A typical theorem-proof book that covers introductory real analysis for mathematics students at undergraduate level. Short and to the point.

  • Linear Algebra

    • Lay (2011) A standard introduction for mathematics undergraduates.

    • Strang (2005) Another standard introduction for mathematics undergraduates. Strang’s MIT video lectures accompanying the textbook are available online for free.

    • Hefferon (2014) A theorem-proof style introductory book for mathematics undergraduates with lots of examples and interesting applications. It is free.

    • Axler (2015) A more rigorous but intuitive treatment of linear algebra for mathematics undergraduates.

    • The Matrix Cookbook An overview over some more advanced matrix calculus.

  • Probability Theory

    • DeGroot/Schervish (2011) A comprehensive standard treatment of probability and statistics for mathematics undergraduate students. Intuitive and (relatively) rigorous at the same time with lots of exercises.

Additional Resources

Here are some recommended non-textbook extra materials for this course and future references on the topics covered.

Text resources:

Video resources:

Learning Tools:

  • Wolfram Alpha
    • Wolfram Alpha, among other things, is an excellent tool for computing, plotting and understanding limits, derivatives, and integrals and their applications.

References

Axler, S. (2015). Linear Algebra Done Right (3rd ed.). Undergraduate Texts in Mathematics. Springer.

DeGroot, M. H. and M. J. Schervish (2011). Probability and Statistics (4th ed.). London: Pearson.

Gill, J. (2006). Essential Mathematics for Political and Social Research. Cambridge University Press.

Hefferon, J. (2014). Linear Algebra.

Lay, D. C. (2011). Linear Algebra and Its Applications. London: Pearson.

Moore, W. H. and D. A. Siegel (2013). A Mathematics Course for Political and Social Research. Princeton: Princeton University Press.

Protter, M. and C. Morrey (1991). A First Course in Real Analysis (2nd ed.). Undergraduate Texts in Mathematics. Springer.

Simon, C. P. and L. Blume (1994). Mathematics for Economists. New York: Norton and Company.

Spivak, M. (2006). Calculus (3rd ed.). Cambridge University Press.

Strang, G. (2005). Linear Algebra and Its Applications (4th ed.). Brooks Cole.

Sydsaeter, K. and P. Hammond (2008). Essential Mathematics for Economic Analysis (3rd ed.). Essex: Pearson.