## ** Winter 2017/18: Mathematical Methods I **

### New:

####
New book for a refreshment of elementary mathematics:

Frank Werner: A Refresher Course in Mathematics, Bookboon Publishers, May 2016, 284 pages

(**Table of Contents**;
**Preface**)

(this book is ad-supported and can be FREELY DOWNLOADED from the website of the publisher **download**). The book contains 247 worked examples and 122 exercises for independent practicing (**link for discussions**). The solutions of the exercises can be downloaded **here**.

The questions of a multiple choice self-test related to the contents of the book can be found under **MC self-test: questions**, and the answers to the questions can be found under
**MC self-test: answers**.

### New:

#### The inspection of the written examinations is possible on October 17, 2017 in building 02,
room 215, from 10.00 p.m. to 12.00 a.m.

### **Lectures: **

Mon 9.15 - 10.45 a.m. in G03-315 (125)

**
**### **Tutorials: **

M.Sc. Julia Lange: Mon 1.15 p.m. - 2.45 p.m. in G22A-216 (40) (group 1)

M.Sc. Julia Lange: Thu 9.15 a.m. - 10.45 a.m. in G22A-120 (40) (group 2)

**
**### **Tutorials for practicing: **

Ms. Greta Bartels: Fri 1.15 p.m. - 2.45 p.m. in G12-201 (40)

(odd calendar week: group 1; even calendar week: group 2)

**
**####
There are two hours of lectures and three hours of tutorials per week.
Among the tutorials, there is a 2-hour traditional tutorial per week, where mainly the tutor presents solved exercises at the blackboard. In addition, there are two parallel 2-hour 'Tutorials for practicing', where mainly the students solve problems under guidance of the tutor and discuss solution strategies. It is recommended that each student attends every two weeks such a tutorial for practicing (either in an even or odd calendar week. Thus, for every student, there is one week with four hours of tutorials and the other week with two hours of tutorials.

### **Contents: **

####
1. Logic, Sets and Real Numbers

2. Sequences and Series

3. Functions of a Real Variable

4. Differential Calculus for Functions of a Real Variable

5. Integration

### ** Recommended textbook: **

#### A textbook that includes all the topics from the lecture is available now (see Reference 1 below).
The use of this textbook is STRONGLY recommended.
Further information about the book can be found
here.

### ** Literature (Textbooks): **

####
**1) Werner, F.; Sotskov, Y.N.: Mathematics of Economics and Business, Routledge, Abingdon, New York, 2006
(free eBook download**).

2) Sydsaeter, K.; Hammond, P.J.: Mathematics for Economic Analysis, Prentice Hall, 1995

(there also exists a German version).

3) Chiang, A.C.: Fundamental Methods of Mathematical Economics, Mc. Graw Hill, 1984.

4) Simon, C.P.; Blume, L.: Mathematics for Economists, W.W. Norton & Company, New York, London, 1994.

5) Opitz, O.: Mathematik, Lehrbuch für Ökonomen, Oldenbourg, 1990 (in German).

### ** Exercises for the tutorials: **

####
Below you find the complete list of exercises
given at the end of Chapters 1 - 8 in the
textbook by Werner and Sotskov. The exercises treated in the tutorials are a subset of these problems, and their numbers are given below in
parentheses. These problems should be prepared by every student BEFORE the corresponding tutorial. The answers to these problems can be found on pages 486 - 510 of the textbook mentioned above
(see Selected Solutions).

Chapter 1: pdf-File (Exercises 1 - 5, 8 - 16 and 23 - 29)

Chapter 2: pdf-File (Exercises 1 - 9)

Chapter 3: pdf-File (Exercises 6 - 9 and 11 - 13)

Chapter 4: pdf-File (Exercises 1 - 16, 17b-c without remainder, and 20)

Chapter 5: pdf-File (Exercises 1 - 5 and 7a)

For a detailed schedule of the tutorials see here (pdf-File)

### ** Examinations: **

####
There is a one-hour written examination in Mathematical Methods I (in February).
As working tools are allowed:

a pocket calculator according to the instructions of FWW and

EITHER ONE individually prepared ONE-SIDED sheet of paper with arbitrary material

OR textbook `Mathematics of Economics and Business' by Werner and Sotskov

Every student should indicate the chosen variant on the cover sheet of the examination paper ('1' stands for 'one page' and
'B' stands for 'book'). Note that the use of a collection of (handwritten or printed) copies of pages (of whatsoever) including the Ebook is NOT allowed.

A selection of old (two-hour) examinations (in the related subject Mathematics I) including answers to the problems can be found under

`Lehrmaterial' of the Faculty of Mathematics
within the part `Klausuren'.

### Past Examinations

**Examination February 2016 (pdf)**

###
I wish all students success in studying mathematical methods in business and economics!

####
Quotation: If well used, books are the best of all things; if abused, among the worst.

(Emerson)