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Total Student StudyTime
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Syllabus
IS 101
Mathematics I
First
English
Assist.Prof.Dr.Arzu Şen
3
6
15 weeks
120 hours
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Mathematics is the language of universe. For this reason it is
vitally important to find and apply the mathematical
equivalent of any problems that emerge in our daily lives.
Therefore, the course aims at giving the basic mathematics and
providing the business administration students the capacity to
handle and solve the problems that may occur in their fields.
The course will enable the students to use the relevant
techniques in problem solving, and analytical thinking.
To understand what a function is and to use functional
notation, finding the domain of a given function, to find and
graph equations of lines, forms of linear equations,
To graph quadratic functions, functions of the form
2
2
y  ax 2 , y  ax 2  k , y  ax  h  , y  ax  h   k ,
y  ax 2  bx  c, to graph cubic polynomial s and other
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elemantary functions
Combining functions, composition of functions, inverse of a
function, graphical relation of a function and its inverse, to
find an equation for a function described in words
To find approximate and exact rates of change, to understand
the definition of derivative and to compute derivatives from
the definition, to evaluate limits
To determine where a function is continuous, to find
derivatives of polynomials
To apply the derivative
Differentiation Techniques: To use the product and quotient
rules, To use the chain rule, To find derivatives by implicit
differentiation
To find higher derivatives
Curve-sketching: To determine where a function is increasing
or decreasing; to find local maxima and minima
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Intended Learning Outcomes
Learning/ Teaching Methods
Assignments
Examination
Assessment
Reading List
To apply the second derivative: concavity, inflection points,
testing for maxima and minima, To graph polynomials using
the calculus, To find asymptotes of a curve and graph
nonpolynomials
To solve problems involving maxima and minima, To solve
related-rate problems, To use differentials for approximation
To solve problems involving motion along a line, To apply the
derivative to problems in economics
Matrices: Definition, Null matrix, Unit matrix, Equal matrices,
transpose of a matrix, matrix addition and substraction, matrix
multiplication, applications of matrix arithmetic, Solution of
Equations: Elimination Methods
Determinants: Evaluate 2x2 and 3x3 determinants, Using
Cramer’s Rule to solve equations
In this way the students, who will take active role in future business
administration positions, will be potent and successful in giving apt
decisions and managing crises.
Lecture
1 midterm, 1 final (written form)
 Midterm 1 % 20
 Midterm 2 % 20
 Final
% 50
 Attendance %10
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Polatoğlu, Yaşar ,Bolcal, Metin- Şen, Arzu .General Mathematics,
İKÜ. Yayınları
Paul, Richard S.-, Shaevel, M.Leonard. Essentials of Technical
Mathematics
Bernhardt, Grossnickle, Reckzeh.Discovering Structure In Algebra
Hockett Sternstein, Second Edition, Applied Calculus
Date : 23.09.2008