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 DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
None
COURSE DEFINITION
This 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
WEEK
TOPICS
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.
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 READING
a) 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 METHODS
Lecture,Discussion,Problem Solving
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 WORKLOAD
Activities
Number
Hours
Workload
Midterm exam
1
1
1
Preparation for Quiz
6
3
18
Individual or group work
14
4
56
Preparation for Final exam
1
42
42
Course hours
13
3
39
Preparation for Midterm exam
1
21
21
Laboratory (including preparation)
0
0
0
Final exam
1
1,5
1,5
Homework
0
0
0
Total Workload
178,5
Total Workload / 30
5,95
ECTS Credits of the Course
6
LANGUAGE OF INSTRUCTION
Turkish
WORK PLACEMENT(S)
No
KEY LEARNING OUTCOMES (KLO) / MATRIX OF LEARNING OUTCOMES (LO)