On this page you may find the following material (put in order of appearance):

  • Reference manual for the tutorial + additional student manual
  • EVALUATION OF THE BLOG MATERIAL / TUTORIAL SESSION (please, remember to do the evaluation)
  • Suggestions on what to focus your study
  • EXERCISES SOLVED BY ME (most of the exercises in the book, 4th edition + 5th edition)
  • Freeware software for graphs and for exercise solutions, and also additional exercises



Reference manual for the tutorial + additional student manual

Essential Mathematics for Economic Analysis,

Knut Sydsaeter & Peter Hammond,

Pearson Education, 2008 3rd edition

(the prof. and you have the 4th edition, it is basically the same besides few exercises)

ISBN: 9780273713241

Some time in the future I will upgrade the references in a way that pages and exercises refers to the fourth editions. Those that I am uploading now refer to the 3rd editions, which is only slightly different, so that you will easily connect my references to the 4th book easily.

There is also a student manual. It is a short book, wherein you can find the solutions for some exercises in a greater detail. Often even step by step.

The student manual can be found online at the following link:
You can see in the reference book that on the side of some exercises number there is the symbol “SM” (e.g. see exercise 3, in “problems for section 6.8″)…this means that an extended solution is shown in the student manual.




Please, come up here after you have used the material you needed.

If you are a visitor of this blog section, but you are not my student, please, take survey 1).

If you are my student, please, take survey 2)

The survey are completely anonymous.


As of now hundreds of students from all over the world have been visiting this section of my blog, I kindly ask you to give an evaluation of its content. Please, dear visitor, give an evaluation of the material you have found on this page. The link to the online survey is below.

(for the general visitor and my students) BLOG SECTION EVALUATION: click here


Similarly, as of now many students from my tutorial session of mathematics for economics have attended my tutorial and have been using the material, I kindly ask you to give an evaluation of both. Please, dear mathematics students, give an evaluation of the tutorial session and the content of this page using the survey at the link you find below.

(only for my students) TUTORIAL SESSION EVALUATION: click here



Suggestions on what to focus your study

I “SUGGEST” that your focus on the first 6 chapters (from chap 1 to chap 6, section 8) should be on:
rule of the limits, proposition (3) page 172, simple rules of derivation + page 175 ex 1, power rule, rules derivate of product and quotient + page 182 ex 5, chain rule + ex 2 & 4.

For earlier theory, I also “SUGGEST”, take a look to page 11 (quadratic identities), page 41-45 (quadratic equations), and page 25-27 (sign diagrams). Then (shifting graphs) page 127-129. Moreover, natural exponential function basic properties and natural logarithm basice properties, page 117 and 121; integers power page 4, fractional powers page 19. This is the basic stuff you will use over and over again throughout the mathematics course, and 90% of times also in any economics course.

From 6.8, these sections will definetly be important.

Chapter 7, I suggest to focus on sections: 7.1, 7.2, 7.7, 7.8.

Chapter 8, it is foundamental to spend a lot of time on it.

Chapter 9, I suggest to focus on sections: 9.1 to 9.7, skip 9.6.

Skip chapter 10.

Chapter 11: the whole chp.

Chapter 12: I suggest to focus on sections: 12.1 to 12.6, in section 12.7 you are required to know the intuition of what homogeneous and homotetic functions are, skip 12.8, do the section 12.9, 12.10.

Chapter 13: I suggest to focus on sections: 13.1 to 13.7.

Chapter 14: I suggest to focus on sections: 14.1, 14.2, 14.4, 14.5.

Chapter 15: I suggest to focus on sections: 15.1 to 15.7, skip 15.6.

Chapter 16: I suggest to focus on sections: 16.1, 16.2, 16.4 and 16.6.



Exercises solved by me

How to read the material?

1) in the list below:

# – xxxxx -> # just represents the chronological order in which I have uploaded the material, while xxxx is the name of the file.

2) the names of the files (generically named xxxx in the point above):

chap ## or chp ## or section ## or new exercises chap -> tells you what the material is referring to (chapter or specific section); “new exercises” means simply that this is material that I have uploaded on the academic year 2012-2013

point 21 and 22 refers to exercises 14.1 N*3 and 14.5 N*1, which are related.

3) understand the content of each file:

in each file you find references to specific sections and exercises numbers; first, you find (chapter##.section##) in a circle, then, each exercise number is either underlined or is put into a squared box [N* ##]

1 – chap 1

2 – chap 1 bis

3 – sect 1.6 to chap 5

4 – chap 6

5 – chp 1-6 new ex

6 – sect 6.7 letter c

7 – sect 6,8 to sect 9,3

8 – 6,11 exercises

9 – new exercises chap 5 to 8

10 – review ex chap 8-16a

11 – review ex chap 8-16b

12 – review ex chap 8-16c

13 – three additional exercises chp 8

14 –2013 ex chp 8

15 – new exercises chap 9a

16 – new exercises chap 9b

17 – new exercises chap 9c

18 – 2013 ex chp 9

18 – sect 9,5 to sect 13,7

19 – new exercises chap 11

20 – 2013 ex chp 11

21 – new exercises chap 12

22 – 2013 ex chp 12

23 – 2013 ex chp 13

24 – new exercises chap 13 and 14

25 – 2013 ex chp 14

26 – concave-convex lagrangean1

27 – concave-convex lagrangean2

28 – chap 14-16

29 – chp 16 ex 1a and 2



Freeware software for graphs and for exercise solutions, and also additional exercises

Here you can find a very easy freeware with which you can draw 2D graphs:


Also, I suggest an open source program with which you can solve math problems and draw graphs in 3D: WXmaxima


Below you can find a couple of useful links.





You can also find online exercises with multiple choice questions at this link:


You can also find extra exercises on excel file at the following link: