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COURSE UNIT TITLECOURSE UNIT CODESEMESTERTHEORY + PRACTICE (Hour)ECTS
GENERAL MATHEMATICS I TBF121 First Term (Fall) 3 + 0 6

TYPE OF COURSE UNITCompulsory Course
LEVEL OF COURSE UNITBachelor's Degree
YEAR OF STUDY1
SEMESTERFirst Term (Fall)
NUMBER OF ECTS CREDITS ALLOCATED6
NAME OF LECTURER(S)Professor Özge Sezgin Alp
Professor Halil İbrahim Karakaş
LEARNING OUTCOMES OF THE COURSE UNIT At the end of this course, the students;
1) Students learn some basic mathematical concepts and see examples of applications of these concepts.
2) Students learn methods of computation and develop their skills of computation.
3) Students get substantial experience to set up mathematical models for real- world problems from their area of interest and solve such problems.
4) Students who believe that mathematics is a scary subject change this attitude after they complete this course and they gain self-confidence.
5) Students are convinced by examples of real-world applications that mathematics is really useful.
6) Students learn the preliminaries and build up their background for mathematical subjects such as statistics that they will study in the following years.
MODE OF DELIVERYFace to face
PRE-REQUISITES OF THE COURSENo
RECOMMENDED OPTIONAL PROGRAMME COMPONENTNone
COURSE DEFINITIONThis course covers the topics including sets of numbers, absolute value, inequalities, concept of a function; elementary functions, limit, continuity, derivative, increasing and decreasing functions, the second derivate test, L'Hospital Rule, curve sketching, maximum-minimum problems, logarithmic and exponential functions, applications in economics; integral, techniques of integration and its applications.
COURSE CONTENTS
WEEKTOPICS
1st Week Real Numbers, Absolute Value, Number Axis, Intervals, Coordinates in The Plane.
2nd Week Functions, Elementary Functions, Graphs through Elementary Transformations, Functions in Economics, Applications.
3rd Week Linear Functions, Equation of a Line, Quadratic Functions, Polynomial and Rational Functions, Asymptotes, Applications.
4th Week Exponential Functions, Logarithmic Functions, Compound Interest, Applications.
5th Week Limit, Continuity, Asymptotes, Rate of Change, Slope, Derivatives.
6th Week Rules of Differentiation; Derivative of constant function, Derivatives of The Sum, The Product and The Quotient of Two functions, Approximate Values, Marginal Analysis, Applications.
7th Week Rules of Differentiation; Derivative of constant function, Derivatives of The Sum, The Product and The Quotient of Two Functions, Approximate Values, Marginal Analysis, Applications.
8th Week Midterm
9th Week Chain Rule, Derivatives of Exponential and Logarithmic Functions, Marginal Analysis, L'Hospital's Rule.
10th Week Increasing and Decreasing Functions, Concavity, Maximum-Minimum, The First Derivative Test and The Second Derivative test.
11th Week Curve Sketching, Maximum - Minimum Problems.
12th Week Implicit Differentiation, Related Rates .
13th Week Anti-Derivative; Indefinite Integral, Change of Variables, Integration by Parts.
14th Week Definite Integral, Fundamental Theorem of Calculus, Techniques of Integration; Area and Volume, Applications.
RECOMENDED OR REQUIRED READINGa) İnternet:
www.baskent.edu.tr/~karakas
http://moodle.midas.baskent.edu.tr/course/view.php?id=318
b) Books:
Barnett R. A., Zeigler M. R., Byleen K.E. Calculus for Business, Economics, Life Sciences and Social Sciences. Prentice / Hall, New Jersey, 2008.
Budnick F. S. Applied Mathematics for Business, Economics and Social Sciences. McGraw Hill, New York, 1993.
Adams, R. A. Calculus (A Complete Course). Addison - Wesley, Longman, Toronto, 2003.
Tomas G. B., Finney R. L. Calculus and Analytic Geometry. Addison - Wesley Publishing co., Massachutes, 1990.
Stewart J. Calculus, Brooks/Cole Publishing co., Pasific Grove, 1995.
Edwards C. H. Jr., Penney D. E. Calculus and Analytic Geometry. Prentice/Hall, New Jersey, 1986.
PLANNED LEARNING ACTIVITIES AND TEACHING METHODSLecture,Discussion,Problem Solving
ASSESSMENT METHODS AND CRITERIA
 QuantityPercentage(%)
Mid-term130
Quiz616
Attendance14
Total(%)50
Contribution of In-term Studies to Overall Grade(%)50
Contribution of Final Examination to Overall Grade(%)50
Total(%)100
ECTS WORKLOAD
Activities Number Hours Workload
Midterm exam111
Preparation for Quiz6318
Individual or group work14456
Preparation for Final exam14242
Course hours13339
Preparation for Midterm exam12121
Laboratory (including preparation)000
Final exam11,51,5
Homework000
Total Workload178,5
Total Workload / 305,95
ECTS Credits of the Course6
LANGUAGE OF INSTRUCTIONTurkish
WORK PLACEMENT(S)No
  

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