Information Package
baskent.edu.tr

Program of International Trade (English 30%)

TBF122

GENERAL MATHEMATICS II

Course Code
TBF122
Semester
Second Term (Spring)
Theory+Practice
3 + 0
ECTS
6
Course TypeCompulsory Course
Course LevelBachelor's Degree
Year of Study1
SemesterSecond Term (Spring)
ECTS6
Name of Lecturer(s)
Learning Outcomes

At the end of this course, the students;

  1. Develop the ability to define and solve linear equation systems, creating matrix representations of them.
  2. Gain the ability to perform operations on matrices using the Gauss-Jordan elimination method and obtain solutions to the systems.
  3. Enhance the ability to understand the concept of determinants and solve linear equation systems using Cramer's rule.
  4. Acquire the ability to define multivariable functions, calculate partial derivatives, and determine the maximum and minimum points of these functions.
  5. Improve the skill of solving optimization problems by applying the least squares method and the Lagrange multipliers method.
  6. Gain the ability to recognize linear inequalities, formulate linear programming problems, and solve constrained maximization and minimization problems using the simplex method.
Mode of DeliveryFace to face
PrerequisitesNo
Recommended Optional Programme ComponentsNone
Course DescriptionThis course covers fundamental topics such as matrices, systems of linear equations, and determinants. The course also includes techniques like the Leontief method, linear inequalities, linear programming, the simplex method, minimization and maximization problems, multivariable functions, partial derivatives, maximum-minimum problems, Lagrange multipliers, and the least squares method.
Course Contents
WEEK TOPICS
1st Week Linear equation systems and matrices
2nd Week The Gauss-Jordan elimination method
3rd Week Matrix operations, inverse matrix
4th Week Determinants, Cramer's rule, and Leontief's input-output analysis
5th Week Multivariable functions and partial derivatives
6th Week Maximum and minimum in multivariable functions
7th Week Least squares method, Lagrange multiplier method, their applications
8th Week Midterm exam
9th Week Linear inequalities
10th Week Linear programming
11th Week Introduction to the simplex method, constrained maximization problems
12th Week Constrained minimization problems
13th Week Mixed constrained maximization and minimization, the Big M method, and their applications
14th Week Mixed constrained maximization and minimization, the Big M method, and their applications
Recommended or Required Readinga) Internet: The primary resource for this course is the material available at www.baskent.edu.tr/~karakas. This material is also available as an open course on the Başkent University Open Course Materials portal at http://moodle.midas.baskent.edu.tr/course/view.php?id=318.

b) Books: The following books are available in our university library:

Barnett, R. A., Zeigler, M. R., & Byleen, K. E. (2008). Calculus for business, economics, life sciences, and social sciences. Prentice Hall.

Budnick, F. S. (1993). Applied mathematics for business, economics, and social sciences. McGraw-Hill.

Adams, R. A. (2003). Calculus: A complete course. Addison-Wesley, Longman.

Thomas, G. B., & Finney, R. L. (1990). Calculus and analytic geometry. Addison-Wesley Publishing.

Stewart, J. (1995). Calculus. Brooks/Cole Publishing.

Edwards, C. H., Jr., & Penney, D. E. (1986). Calculus and analytic geometry. Prentice Hall.
Planned Learning Activities and Teaching Methods
  • Lecture
  • Discussion
  • Questions/Answers
Assessment Methods and Criteria
Quantity Percentage (%)
Mid-term 1 30
Quiz 6 16
Attendance 1 4
Total(%) 50
Contribution of In-term Studies to Overall Grade(%) 50
Contribution of Final Examination to Overall Grade(%) 50
Total(%) 100
ECTS Allocated Based on Student Workload
Activities Quantity Duration (Hour) Total Workload (Hour)
Midterm exam 1 1 1
Preparation for Quiz 6 4 24
Individual or group work 14 3 42
Preparation for Final exam 1 40 40
Course hours 14 3 42
Preparation for Midterm exam 1 30 30
Laboratory (including preparation)
Final exam 1 1 1
Homework
Total Work Load180
Total Work Load / 30 (h)6
ECTS Credit of the Course6
Language of InstructionTurkish
Work Placement(s)No

Programme Qualifications / Learning Outcomes

LO1 LO2 LO3 LO4 LO5 LO6
K1
K2
K3
K4
K5
K6
K7
K8
K9
K10 X X X X X X