Mathematics I

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

not

Course Contents

This course provides students with the knowledge of numbers,algebra,equations and inequalities,functions trigonometry,complex numbers,Logarithm

Weekly Schedule

1) It learns natural numbers, whole numbers and rational nomber sts beginning with counting numbers. It demonstrates that irrational numbers are not rational by seeing them on numerical axis. It creates reel numbers set by defining irrational numbers set.
2) It learns natural numbers, whole numbers and rational nomber sts beginning with counting numbers. It demonstrates that irrational numbers are not rational by seeing them on numerical axis. It creates reel numbers set by defining irrational numbers set.
3) It makes operations by writing decimal numbers in exponential form. It makes arithmetical operation regarding the numbers with roots. It defines absolute value of a reel number and makes applications.
4) It learns various number systems (binary, octal, hexadecimal number systems). It makes transferals among them. By help of calculating machine it can make operations such as exponent, root, aritmetical operations and storing. It knows the concepts of constant and variable.
5) It changes formulas and makes calculations. It writes the given values in the form of formulas and calculates. It knows the necessary methods and identities for factorisation operation. It can divides the secondary statements into multipliers. It learns the concept of polynomial. It makes four operations by polynomials. It divides polinomials into multipliers.
6) It can write rational statements in simpliest way. It learns the features and types of ratio. It indicates if the relation between two variables is directly or inversely proportional. ( it solves the problems such as Hook law, Boyle law and Ohm law and defines ratio coefficient). It solves equation ax,b=0 with one unknown in first degree.
7) It finds the roots of an equation with one unknown in secondary degree. It indicates its solution according to the Delta number. It can calculate solution set. It can solves linear equation with two unknowns. It develops simple equations from experimental studies and solves them. It solves equations that can be changed into equations in first and secondary degree by making appropriate changes.
8) Midterm examination/Assessment
9) It learnes concept function. It finds images of elements in domain. It defines dependent and independent variables. It learns function types. It makes four operations by functions. It learns symmetry in odd and even functions. It draws diagram of function f (x) = ax,b and f (x) = a ,bx,c
10) By learning angular measurement units it makes changes between them. It knows how to find basic measure. It defines sine, cosine and tangent ratios for acute angle. It knows trigonometrical ratios of basic angles. It learns how to calculate segment space and arc lenght. It knows reverse trigonometrical ratios. By help of calculating machine it knows how to find out trigonometrical ratio and an angle whose trigonomertrical space is known.
11) It finds out the periods of trigonometrical functions and draws diagrams of trigonomeetrical functions. It makes triangle solutions by help of sine, cosine and tangent connections and space formulas. By help of trigonomeetrical identities it makes trigonomeetrical equation solutions. It knows trigonomeetrical total and half angle formulas. It understands concept of complex number.
12) It learns four operations by complex numbers in Cartesian form. It becomes skillful at writing complex numbers in polar form by defining each complex number in complex level and by finding teta and r values. It makes multiplication and division operations in polar form. By help of Moivre formula it calculates the powers of complex numbers.
13) It finds out roots in n order of a complex number. It makes applications in regard with complex numbers at electrical circuits. By help of calculating machine it learns how to change a complex number from polar form to Cartesian form. It defines exponential functions and draws their graphs.
14) It defines basic logarithm statement. It defines natural logarithm and indicates the relation between decimal logarithm and natural logarithm.
15) It knows logarithm specifications.It finds out solution set of exponental and logarithmical equations.
16) Final examination

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Drill and Practice
4) Case Study
5) Problem Solving

Assessment Methods and Criteria

Contribution of Semester Studies to Course Grade	30%
Number Percentage Semester Studies Midterm Examination 1 80% Quiz 5 20%
Contribution of Final Examination to Course Grade	70%
Total	100%

Language of Instruction

Turkish

Work Placement(s)

Not Required