## Preparation Course

Coursework

Important Details

Attendance

Billing

Payment

Withdrawal

Registration

Contact Information

Course Instructor

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**Who Should Take This Course and Why**

For those who lack the math background or simply want a refresher, the Financial Mathematics Program offers a Preparation Course that covers mathematical concepts required for coursework in the Master of Science in Financial Mathematics (MSFM) program, and required of applicants to the program. More generally, the Preparation Course is targeted at students interested in taking a Master level course in quantitative finance or financial engineering. Finance and non-finance industry professionals who would like a refresher course in mathematics are also welcome to register for this course.

The Preparation Course focuses more on mathematics, rather than strictly on finance, in order to build a solid foundation in Calculus, Probability, Linear Algebra, and Python, to allow students to enhance their financial mathematics skills with further studies in the field. This Preparation Course is designed to be an intense and accelerated introduction to concepts in mathematics that are essential for future careers in quantitative finance.

A key aim of the course is to impart to students the technical skills for them to be able to deal with graduate level financial mathematics and problem solving. Lectures will also include Financial and Economic applications. Past participants in the Preparation Course have included:

• Students with economics, business, or finance backgrounds looking to learn and expand their knowledge of mathematics in areas they may not have previously covered.

• Students with science or engineering backgrounds looking to solidify and sharpen their mathematics skills.

The Preparation Course is open to the public. If a Preparation Course student applies for the MSFM program, the student's participation in the Preparation Course (and in any other coursework providing math background for the MSFM program) will be taken into account, in making the MSFM admissions decision (with no guarantee of admission).

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**Coursework and Topics Covered**

Lectures cover topics in Calculus, Probability, Linear Algebra, and Python.

Spanning two modules, the Preparation Course is summarized as follows:

**Module 1: Calculus and Probability**

**Calculus: **Limits and series, differential and integral calculus in one and multiple dimensions, implicit differentiation, integration by parts, Taylor’s Theorem, convexity and Jensen's inequality, L'Hospital's rule, application of calculus in mathematical finance.

**Probability: **Combinatorics, discrete and continuous probability distributions, density functions and cumulative distribution function, conditional probability and conditional expectation, central limit theorem, moment-generating functions, strong law of large numbers, application of probability theory in solving quant interview questions.

**Module 2: Linear Algebra and Python**

**Linear Algebra: **Vectors and matrices, systems of linear equations, fundamental theorem of linear algebra, vector spaces and subspaces, eigenvalues and eigenvectors, spectral decomposition, diagonalization, orthogonality and orthogonalization, projection and linear regression, determinants, positive-definite matrices and covariance matrices, SVD and Principal Component Analysis, application of linear algebra in finance.

**Python: **Fundamentals of Python programming, data visualization using Matplotlib, numerical computation using Numpy, Scipy, and Sympy, examples illustrating calculus, linera algebra and probability concepts, and assignments covering Monte Carlo simulation and variance analysis, root finding, numerical integration, and Markov chain.

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**Other Important Details**

This course is not taken for credit nor are students enrolled through the University's Registrar system. Therefore, an official University of Chicago transcript is not available. There are no exams and official course grades are not given.

Homework is assigned and graded, measuring progress throughout the duration of the course. Further details about homework will be provided by the instructor.

Students who need a grade, or a letter certifying completion of the Preparation Course, can request a letter from the instructor. It is the responsibility of each individual student to request and follow up when a grade or letter is required. This option is available only to students who make a legitimate effort to complete course homework.

The Financial Mathematics Preparation Course does not lead to a degree. Successful completion of the course does not guarantee admission to the Master's program in Financial Mathematics.

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**Attendance**

Module 1 classes are conducted on Friday and Saturday evenings from 6:00pm to 7:15pm (Chicago time).

Module 2 classes are conducted on Saturday and Sunday mornings from 8:30am - 9:45am (Chicago time).

Winter 2018 - Spring 2019 Prep Course

Module 1: December 7, 2018 to January 26, 2019

Module 2: March 2, 2019 to April 28, 2019.

Classes are conducted via live online meeting and are recorded and made available for later viewing.

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**Billing**

The cost of the Preparation Course is US$2,200 per module, with the following discounted rates:

Module 1:

Early registration and payment on or before November 30, 2018: US$2,000

Regular registration and payment after November 30, 2018: US$2,200

Module 2:

Early registration and payment on or before February 23, 2019: US$2,000

Regular registration and payment after February 23, 2019: US$2,2000

Modules 1 & 2:

Early registration and payment on or before November 30, 2018: $3,600

($1,800 per module)

Regular registration and payment after November 30, 2018: $4,400

($2,200 per module)

Group discount: if two or more students from the same company or school are registering together, then each student in the group is entitled to deduct 25% from the listed tuition rates.

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**Withdrawal**

There will be no refunds issued for withdrawal.

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**Registration**

Registration is open. To register, please complete the registration form and send it to Meredith Muir at memuir@uchicago.edu.

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**Payment**

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**For More Information**

Email: Meredith Muir at memuir@uchicago.edu

Tel: +1 773 702 1902

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**Course Instructor**

**Chao-Jen Chen**

Chao-Jen Chen is a senior instructor in the MSFM program’s Preparation Course and a senior teaching assistant in the MSFM program, mainly responsible for running review classes for courses including Option Pricing, Numerical Methods, and Machine Learning in Python. He used to work for one of the largest insurers in Singapore as fixed income quantitative analyst and FX manager, managing and hedging the insurer’s USD3bn FX exposure to more than 20 currencies. His recent research interest is Singapore’s monetary policy tool, i.e., the SGD NEER (Singapore Dollar Nominal Effective Exchange Rate). In April 2017, he released an app in Google Play and Apple App Store that implemented his SGD NEER model.

Chao-Jen holds a bachelor’s degree in Mathematics from National Tsing Hua University and master’s degrees in Industrial Engineering from National Taiwan University and Financial Mathematics from the University of Chicago.