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SMK-College of Social Sciences
                                                                        Ulonų g. 5, LT.08240
                                                                           Vilnius-LITHUANIA
                                                                                 www.smk.lt




                                     COLLEGE OF SOCIAL SCIENCES
                                       Vilnius Branch

             MATHS FOR ECONOMICS AND BUSINESS (SCHEDULE)
                                   SPRING SEMESTER 2010


DAY           CONTENTS


FIRST QUIZ    FIRST QUIZ
MAY 13th
2010          Ian Jacques book “Mathematics for economics and business” 5th edition that
(Thursday)    has been distributed by mail.

              Sections of the book included in the quiz:

              1.1.   Graphs of linear equations
              1.2.   Algebraic solution of simultaneous linear equations
              1.3.   Supply and demand analysis
              1.4.   Algebra
              1.5.   Transposition of formulae
              1.6.   National income determination
              2.1.   Quadratic functions
              2.2.   Revenue, cost and profit
              4.1.   The derivative of a function
              4.2.   Rules of differentiation
              4.3    Marginal functions




         1|Page
SMK-College of Social Sciences
                                                                        Ulonų g. 5, LT.08240
                                                                           Vilnius-LITHUANIA
                                                                                 www.smk.lt




FINAL EXAM   FINAL EXAM
10th JUNE
2010         CONTENTS :
(Thursday)
             Ian Jacques book “Mathematics for economics and business” 5th edition that
             has been distributed by mail.


             The following sections are compulsory for all the students. The students that
             decide to answer only the questions related to the following sections only will
             get a 7 as a final mark at the exam.

                   1.1.   Graphs of linear equations
                   1.2.   Algebraic solution of simultaneous linear equations
                   1.3.   Supply and demand analysis
                   1.4.   Algebra
                   1.5.   Transposition of formulae
                   1.6.   National income determination
                   2.1.   Quadratic functions
                   2.2.   Revenue, cost and profit
                   4.1.    The derivative of a function
                   4.2.    Rules of differentiation
                   4.3    Marginal functions

             The following sections are optional for those students that want to get a 9 at the final
             exam

                   4.4.     Further rules of differentiation
                   4.5.     Elasticity
                   4.6.     Optimization of economic functions
                   7.1.     Basic matrix operations

             The following sections are optional for the students that want to get 10 at the final
             exam.

                   4.7     Further optimization of economic functions
                   5.1     Functions of several variables
                   5.2     Partial elasticity and marginal functions
                   5.4     Unconstrained optimization
                   5.5     Constrained optimization
                   5.6     Lagrange multipliers
                   7.2     Matrix inversion
                   7.3     Cramer’s rule
                   7.4     Input-output analysis




        2|Page
SMK-College of Social Sciences
                                                                          Ulonų g. 5, LT.08240
                                                                             Vilnius-LITHUANIA
                                                                                   www.smk.lt


SET OF         Dead-line for hand in the homework.
EXERCISES
               There is a set of problem that you can download from the blog. The set of problems is
Dead line      optional and has to be hand in to the Lecturer by 15 th of June (by mai) or in a hard
15th of June   copy in the Academic Department of the College. You can get 2 extra points from
2010           your homework to be added to the mark obtained at the final exam.

               The set of problems will be evaluated in the following way:

               EVALUATION CRITERIA: ∑ A+B.

               A) 0.5 points if you hand in the exercises before the dead-.line. If you hand in it after
               the dead-line you will not get any additional point.

               B)     1.5 points if there are not important mistakes in your answers.
                      0.75 points if there are some important mistakes in your answers.
                      0.25 points if there are many important mistakes.
                      0 points if you don’t hand in the exercises before or after the dead-line.




Some           At the final exam you can use the book of Ian Jacques that it was distributed by mail.
additional
               Don’t forget your calculator.
information:
               The exam will have between 10 and 20 questions and it will last 2 hours.

               The Erasmus student BELGIN B. will take the final exam next Thursday 27 th May at 12:15
               am. Just please contact me to confirm that you will take the exam this day.

               The student Martynas S. has permission to take the exam at home. He will receive the
               exam by mail on Thursday 15th at 10:30 am in the morning. And he has to send the
               exam by mail (scanned) the same day by 5 pm.




          ********************************************



          Lecturer

          *********************************************




          3|Page

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Smk maths schedule spring semester 2010final

  • 1. SMK-College of Social Sciences Ulonų g. 5, LT.08240 Vilnius-LITHUANIA www.smk.lt COLLEGE OF SOCIAL SCIENCES Vilnius Branch MATHS FOR ECONOMICS AND BUSINESS (SCHEDULE) SPRING SEMESTER 2010 DAY CONTENTS FIRST QUIZ FIRST QUIZ MAY 13th 2010 Ian Jacques book “Mathematics for economics and business” 5th edition that (Thursday) has been distributed by mail. Sections of the book included in the quiz: 1.1. Graphs of linear equations 1.2. Algebraic solution of simultaneous linear equations 1.3. Supply and demand analysis 1.4. Algebra 1.5. Transposition of formulae 1.6. National income determination 2.1. Quadratic functions 2.2. Revenue, cost and profit 4.1. The derivative of a function 4.2. Rules of differentiation 4.3 Marginal functions 1|Page
  • 2. SMK-College of Social Sciences Ulonų g. 5, LT.08240 Vilnius-LITHUANIA www.smk.lt FINAL EXAM FINAL EXAM 10th JUNE 2010 CONTENTS : (Thursday) Ian Jacques book “Mathematics for economics and business” 5th edition that has been distributed by mail. The following sections are compulsory for all the students. The students that decide to answer only the questions related to the following sections only will get a 7 as a final mark at the exam. 1.1. Graphs of linear equations 1.2. Algebraic solution of simultaneous linear equations 1.3. Supply and demand analysis 1.4. Algebra 1.5. Transposition of formulae 1.6. National income determination 2.1. Quadratic functions 2.2. Revenue, cost and profit 4.1. The derivative of a function 4.2. Rules of differentiation 4.3 Marginal functions The following sections are optional for those students that want to get a 9 at the final exam 4.4. Further rules of differentiation 4.5. Elasticity 4.6. Optimization of economic functions 7.1. Basic matrix operations The following sections are optional for the students that want to get 10 at the final exam. 4.7 Further optimization of economic functions 5.1 Functions of several variables 5.2 Partial elasticity and marginal functions 5.4 Unconstrained optimization 5.5 Constrained optimization 5.6 Lagrange multipliers 7.2 Matrix inversion 7.3 Cramer’s rule 7.4 Input-output analysis 2|Page
  • 3. SMK-College of Social Sciences Ulonų g. 5, LT.08240 Vilnius-LITHUANIA www.smk.lt SET OF Dead-line for hand in the homework. EXERCISES There is a set of problem that you can download from the blog. The set of problems is Dead line optional and has to be hand in to the Lecturer by 15 th of June (by mai) or in a hard 15th of June copy in the Academic Department of the College. You can get 2 extra points from 2010 your homework to be added to the mark obtained at the final exam. The set of problems will be evaluated in the following way: EVALUATION CRITERIA: ∑ A+B. A) 0.5 points if you hand in the exercises before the dead-.line. If you hand in it after the dead-line you will not get any additional point. B) 1.5 points if there are not important mistakes in your answers. 0.75 points if there are some important mistakes in your answers. 0.25 points if there are many important mistakes. 0 points if you don’t hand in the exercises before or after the dead-line. Some At the final exam you can use the book of Ian Jacques that it was distributed by mail. additional Don’t forget your calculator. information: The exam will have between 10 and 20 questions and it will last 2 hours. The Erasmus student BELGIN B. will take the final exam next Thursday 27 th May at 12:15 am. Just please contact me to confirm that you will take the exam this day. The student Martynas S. has permission to take the exam at home. He will receive the exam by mail on Thursday 15th at 10:30 am in the morning. And he has to send the exam by mail (scanned) the same day by 5 pm. ******************************************** Lecturer ********************************************* 3|Page