Grades

Lectures

Other information:
formulas


ANNOUNCEMENTS
12.01.2005 >>> Hand-outs on BQM are available in office #340/N and #334/N
10.01.2005 >>> Dear students! Congratulate you with the beginning of the Spring 2005 semester. Please, first carefully read the syllabus and if you have any questions ask them ASAP. Carefully read all announcements that will be posted here during the course. Schedule of the course, content, reference, and lectures are provided bellow. Wish you good luck!

Full Schedule of the Course (Spring 2005)
    Section Hall Time From Time To L/T Instructor  
 

Monday

 
    1 #1 09:00 10:15 Lecture Vassiliy Voinov, Dr.  
    3 #1 10:30 11:45 Lecture Natalya Pya  
  Tuesday  
    2 #1 09:00 10:15 Lecture Vassiliy Voinov, Dr.  
  Wednesday  
    1 #3 10:30 11:45 Tutorial Vassiliy Voinov, Dr.  
    2 #111 10:30 11:45 Tutorial Natalya Pya  
    3 #111 14:00 15:15 Tutorial Natalya Pya  
  Thursday  
    5 #219 12:00 13:15 Tutorial Natalya Pya  
    6 #219 14:00 15:15 Tutorial Natalya Pya  
    4 #125 15:30 16:45 Tutorial Bakhyt Baideldinov  
  Friday  
    7 #111 10:30 11:45 Tutorial Natalya Pya  
    8 #111 12:00 13:15 Tutorial Bakhyt Baideldinov  

Indicative Content and Reference

 

Week 1

10.01 – 14.01

lecture01.doc (1471Kb)
lecture01.rar (141Kb)

The derivative 23 – 24 [1]

rules of differentiation 25 – 28 [1]

function of several variables 36 – 37 [1]

Maximum and Minimum of functions

increasing and decreasing function 29 [1]

univariate case 29 – 31 [1]

multivariate case 38 [1]

Integration

              Riemann integral 40 – 41 [1]

              fundamental theorem 41 – 44 [1]

              techniques of integration 45 – 46 [1]

Week 2

17.01 – 21.01

lecture02.doc (666Kb)
lecture02.rar (158Kb)

Vectors and Matrices

              vectors and matrices 52 – 53 [1]

              matrix algebra 54 – 57 [1]

              determinants 59 - 60 [1]

              matrix inverse 60 –67 [1]

Week 3

24.01 – 28.01

lecture03.doc (363Kb)
lecture03.rar (73Kb)

matrix inverse 60 –67 [1]
Systems of linear equations

             rank 68 - 70 [1]

             Cramer’s rules

             applications

Week 4

31.01 – 4.02

lecture04.doc (220Kb)
lecture04.rar (54Kb)

rank, theorems 1,2 and 3
Nonlinear Optimization in Business

unconstrained optimization 70 – 74 [1]

optimization under constraints 74 – 81 [1]

Assignment

Week 5

7.02 – 11.02

lecture05.doc (146Kb)
lecture05.rar (34Kb)

Lindo

optimization under constraints 74 – 81 [1]

Linear Programming

             graphical solution and duality

             slack and surplus Ch 2 and 3 [3]

             sensitivity analysis

Week 6

14.02-18.02

lecture06.doc (81Kb)
lecture06.rar (18Kb)

Linear Programming Applications

             marketing application Ch. 4 [3]

             financial application

             production management applications

Week 7

21.02 – 25.02

lecture07.doc (105Kb)
lecture07.rar (27Kb)

Integer linear programming

             graphical solution Ch. 8 [3]

             business applications of integer linear programming

Week 8

28.03 – 4.03

Review & Practice

Test # 1

Week 9

7.03 - 11.03

Mid-term break

Week 10

14.03 – 18.03

lecture10.ppt (1229Kb)
lecture10.rar (860Kb)

Transportation, Assignment, and Network Models Ch. 7 [3]

              transportation and transshipment problems

              assignment model

              maximal-flow and shortest-path model

              minimal-spanning tree model

Week 11

21.03 – 25.03

lecture11.doc (221Kb)
lecture11.rar (59Kb)

Differential equations

              Linear equations 49 – 52 [1]

              Bernoulli’s equation

Week 12

28.03 – 1.04

lecture12.doc (313Kb)
lecture12.rar (65Kb)

Quantitative methods in inventory management

              Inventory flow 100 - 103 [1]

              Economic ordering quantity 99 – 100

Week 13

4.04 -8.04

Summarizing lecture
Test # 2

Week 14

11.04 – 15.04

lecture14.doc (50Kb)
lecture14.rar (12Kb)

Decision making Ch. 14 [3]

              Decision making without probabilities

              Maximax criterion

              Maximin criterion

              Minimax regret criterion

Week 15

18.04 – 22.04

lecture15.ppt (481Kb)
lecture15.rar (368Kb)

Computer simulation

              simulation models Ch. 12 [3]

              practical applications

Week 16

25.04 – 29.04

Summarizing lecture

Week 17

30.04 - 10.05

Final Examination

 
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
 

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