Charlottenburg palace in Berlin, Germany
Berkeley Summer Abroad

Berlin, Germany: Mathematics in Berlin

  • Summary

    Journey to Berlin to discover the theory and practice of mathematical analysis while being immersed in the city where a lot of mathematics were initially discovered!

    Explore Germanys’ capital city, recognized globally for its internationalism, tolerance, many cafes, and museums
    Immerse yourself in local culture through various field trips to local museums and universities
    Study with other students at the Technische Universitat Berlin.

    Berlin is the place where numerous breakthroughs in Mathematics and Analysis were made. Euler, Weierstrass, Kronecker, Polya and Szego lived, worked and made discoveries in Berlin. Students will not only explore the theory and practice of mathematics in class, they will also be immersed in the historical context of the subject through excursions and visits to museums, Berlin Mathematical School and other Universities, such as Freie Universitat Berlin and Humboldt Universistat Berlin.

    Dates: May 18 – July 15, 2018
    All dates are subject to change

    Units: 7 units

    Language of Instruction: English

    Math 104: Introduction to Analysis
    Math 191: Experimental Courses in Mathematics

    At least one year of college coursework completed by the start of the program
    2.0 GPA or higher
    Math 53 and Math 54 or equivalent are prerequisites

    Application opens February 1, 2018
    Space is limited and applications are accepted on a first-come, first-served basis
    Deadline to apply is March 9, 2018

  • Courses

    During the program, you will take two courses for a total of seven UC Berkeley units.

    Course: Math 104
    Title: Introduction to Analysis
    Dates: May 18 – July 15, 2018
    Instructor: Olga Holtz
    Units: 4 units
    Prerequisites: Math 53 and Math 54, or equivalent
    Math 104 is a core upper-division Math course focused on a rigorous introduction to real analysis. It traditionally covers the real number system, sequences, limits, continuous real-valued functions, the concept of a metric space, uniform convergence, interchange of limit operations, infinite series, mean value theorem and applications, and the Riemann integral.

    Math 104 will be taught using the traditional lecture format and teaching methods, using Principles of Mathematical Analysis, Third Edition, McGraw-Hill, by Walter Rudin, as the main textbook, and Real Mathematical Analysis, Springer-Verlag (2002) by Charles Pugh, as a supplementary text.

    Course: Math 191
    Title: Experimental Courses in Mathematics
    Dates: May 18 – July 15, 2018
    Instructor: Olga Holtz
    Units: 3 units
    Prerequisites: Math 53 and Math 54, or equivalent

    Math 191 is a variable topic upper-division Math class, where the selection of topics and teaching methods is made individually by a particular instructor. This class is often devoted to the art and science of problem-solving in Mathematics. One of the Math 191 versions each Fall is devoted to the preparation of the UC Berkeley Putnam team for the annual Putnam competition, the notoriously difficult North American contest in Mathematics.

    Math 191 will be taught using a less traditional, intense problem solving (Socratic) method based upon the 2-volume book Problems and Theorems in Analysis, Springer-Verlag (1998) by George Polya and Gabor Szego.

    You can fulfill the L&S International Studies breadth requirement by full participation in a Berkeley Summer Abroad program. All of the required courses must be completed with a C-/P or better.

    Summer Abroad staff will enroll you in courses after your acceptance to the program. Please make sure there are no active blocks on your student account that may impact your course enrollment.

  • Costs

    Tuition and Program Fee

    The fees to participate in this program are broken down into 1) tuition and 2) program fees, which are applied to your student billing account as follows:

    2018 Fees UC Students Visiting Students
    Tuition (7 units) $2,947 $3,850
    Program Fee $2,652 $2,652
    Total Cost $5,599 $6,502

    Fees are subject to change. All non-UC Berkeley students must pay an additional Document Management Fee of $55.


    Estimated Out-of-Pocket Expenses

    In addition to the fees outlined above, Berkeley Study Abroad has estimated costs for out-of-pocket expenses. These amounts are used to calculate financial aid packages for eligible students. Actual expenses will vary depending on your lifestyle and spending habits.

    Estimated Expenses Amount
    International Airfare and Transportation $1,200
    Additional Meals $664
    Books $259
    Personal Expenses (i.e. phone, passport, visa, etc.) $663
    Total Estimated Out-Of-Pocket Expenses $2,786


    Financial Aid

    Financial aid is available for Berkeley students who are enrolled in at least 6 units during the summer. All other students should contact the financial aid office at their home institution for more information.


    Explanation of Fees

    Tuition is based on a per unit cost:

    • The UC undergraduate student rate is $421 per unit
    • The visiting student rate for all non-UC participants is $550 per unit

    The program fee includes* the following items:

    • Students will be housed in dormitories with other program participants at Technical University Berlin and/or Berlin Mathematical School
    • Excursions and program activities
    • On-site orientation activities including an introduction to Berlin and placement, etc.
    • Travel insurance to cover accident/sickness medical coverage, emergency medical evacuation, security extraction, and other travel assistance services
    • Other program-related costs including fees for group transportation, guest lecturers, museum admissions, etc.
    • The initial non-refundable deposit of $400, which is due at the time of application and is applied to the program fee

    *Please note that the list of items included in the program fee is not all-inclusive and is subject to change.

    The following items are excluded from the program fee:

    • International airfare
    • Personal expenses (souvenirs, routine medical expenses, toiletries, etc.)
    • Course materials (textbooks and readers)
    • Other travel expenses (passport, visa, etc.)
    • Additional meals
    • Commuting costs for daily travel to and from classes


  • Timeline
    Application opens February 1, 2018
    Application closes March 9, 2018
    Applicants notified of selection March 23, 2018
    Deadline to confirm participation or cancel for a refund of all program-related fees, minus $400 deposit April 6, 2018
    Attend pre-departure orientation* Late April-May
    Arrive in Berlin May 18, 2018
    Last day of program July 15, 2018

    * These events take place on the UC Berkeley campus. If you are not on campus during this time, we will schedule a meeting via phone or Skype.


    All dates are subject to change.

  • Instructors

    Olga Holtz, Ph.D.
    Program Director

    Olga Holtz received her Diploma [1995] in Applied Mathematics from Southern Ural State University in Chelyabinsk, Russia, and her Ph.D. [2000] in Mathematics from the University of Wisconsin-Madison. She held a post-doctorate research position [2000-2002] at the Computer Science Department of the University of Wisconsin-Madison, a Humboldt fellowship [2002-2003] at the Institute of Mathematics of Technical University Berlin, a Morrey Assistant Professorship [2004-2007] and an Associate Professorship [2007-2010] at the Department of Mathematics of the University of California-Berkeley. Currently, Holtz is a Professor of Mathematics at the University of California-Berkeley. She has received a Sofja Kovalevskaja award [2006], a European Mathematical Society Prize [2008], an ERC Starting Grant [2010], two Von Neumann Fellowships at the Institute for Advanced Study [2009, 2014], and an AMS Fellowship [2016]. Holtz is also an award-winning screenwriter and film director.