S414 Advanced Mathematical Methods
Lecturer | Dr. Julie Schnaitmann |
Profiles | recently enrolled Master students The course is open for CIVIS students. |
Language | English |
Time and place | flipped classroom style: videos for self study feedback sessions via zoom on 05 October 2021, 10.30 am - 12.00 pm 12 October 2021, 10.30 am - 12.00 pm 13 October 2021, 10.30 am - 12.00 pm 14 October 2021, 10.30 am - 12.00 pm 15 October 2021, 10.30 am - 12.00 pm
Zoom Meeting ID: 750 054 7486 |
Credit points | 3 ECTS |
Registration | no registration required to take part in the course |
exam (60 min) | The exam takes place in person on February 02, 2022, 12.00 pm - 1.00 pm; room: HS 21, Kupferbau Registration for the exam in Alma by January 24, if you are not in Tübingen at this time, you write an email to the examination office. |
Q & A - Session before exam | zoom, Meeting ID: 948 7485 8184, Kenncode: 209836 January 21, 2022, 2:00 pm to 3:30 pm |
Content
This course is designed for recently enrolled Master students at the School of Business and Economics. The aim is to provide participants with fundamentals of mathematics, probability theory, and statistics which are particularly important in the first semester of the Master program. The course program covers key concepts of basic probability theory, basics of statistical inference, a summary of matrix algebra (e.g., matrix addition and matrix multiplication, eigenvalues), differentiation and integration.
Literature (selected chapters)
- Hamilton, J. D., Time Series Analysis
- Lovric, M., Vector Calculus
- Marsden, J. E. & Tromba, A. J., Vector Calculus
- Papoulis, A. & Pillai, A. U., Probability, Random Variables and Stochastic Processes
- Sotskov, Y.N. & Werner, Frank, Mathematics for Economics and Business, LINK
- Sydsaeter, K. & Hammond, P., Essential Mathematics for Economic Analysis
- Sydsaeter, K.; Hammond, P.; Seierstad, A. & Strøm, A., Further Mathematics for Economic Analysis
Short summaries:
- Greene, William H., Econometric Analysis, edition 5 or more recent, appendices A and B
- Wooldridge, Jeffrey M., Introductory Econometrics, 4th or 5th edition, appendices B, C, D.
Course Material
The course is designed as a refresher. You find links to video lectures on the slides.
PART ONE:
Chapter 1 Linear Algebra part I, Exercises_01
Chapter 1 Linear Algebra part II, Exercises_02
Chapter 2 Multivariate Calculus, Exercises_03
Chapter 3 Integral Calculus, Exercises_04
PART TWO:
Chapter 4 Mathematical Statistics part I, Exercises_05
Chapter 4 Mathematical Statistics part II, Exercises_05
Chapter 5 Hypothesis testing, Exercises_06
25 Easy pieces in Mathematical Statistics
You find all materials, including videos which provide solutions guidelines to the exercise, at the Open-ILIAS platform at:
https://vitruv.uni-tuebingen.de/ilias3/goto_pr01_crs_7244.html
eLearning for math repetition:
lhttps://vitruv.uni-tuebingen.de/ilias3/goto_pr01_crs_4803.html
Feedback sessions
Please send questions that come up while watching the videos or going throught the material to Julie Schnaitmann
05 October 2021, 10.30 am - 12.00 pm - Linear Algebra I |
07 October 2021, 10.30 am - 12.00 pm - Linear Algebra II |
12 October 2021, 10.30 am - 12.00 pm - Calculus |
13 October 2021, 10.30 am - 12.00 pm - Mathematical Statistics I |
14 October 2021, 10.30 am - 12.00 pm - Mathematical Statistics II |
15 October 2021, 10.30 am - 12.00 pm - Hypothesis Testing |
The zoom link is https://zoom.us/j/7500547486