Mathematics II

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 systems of linear equations and matrices, limits and continuity,derivatives and applications, integral and applications,differential equations,statistics

Weekly Schedule

1) It solves linear equation with two unknowns systems by suppression method. It expresses the solution diagrammatically. It defines the slope of straight line. It solves linear equation systems with three unknowns with suppression method. It defines the concept of matrix and learns matrix types (square matrix, unit matrix, zero matrix). It makes addition, deduction and multiplication operations in matrix.
2) It defines transposed and additional matrix. It calculates determants of matrixes İn types of 2x2 ve 3x3. It finds out the rank of matrix. It finds out the revers of matrixes 2x2 ve 3x3.
3) It draws matrix presentation of linear equation system. It solves linear equation systems by Cramer rule. It correlates the matrix usage with the simple technical problems. It researces behaviour of a function in surrounding of a point. It founds out the limit in a point by the approching values from right and left.
4) It compares the limit of a function in a point with the value in this point. It learns the rules of taking limits. It makes limit calculations in indefinite states. It calculates basic trigonometrical limits. It calculates the limit of rooted functions.
5) It calculates the limit of rational statements while x is going to infinite. It researches continuity of functions in reel numbers set. It learns definition of derivative and the rules of taking derivative. It knows derivatives of polynom, trigonometrical and logarithmical functions. It knows that derivative means speed in physical field and slope in geometrical sense. It solves the problems in regard with speed and momentum.
6) It takes derivatives of functions in the form of addition, multiplication and division. It takes derivatives in second degree and comments them. It founds out the slope and equation of the straight line which is tangent to tge diagram of function in any point. It finds out the ranges in which function increases and decreases.
7) It finds out the critical points of functions (maximum, minimum, flexion), it draws diagram. It makes vocational applications of derivative. It finds of changes of currwnr according to time and calculates the potential difference. It defines differential of y= f (x) function. It learns integral calculation is reverse to differential.
8) Midterm examination/Assessment
9) It learns general rules for indefinite integral calculation. It learns changing variables and partial integration method. It calculates rational integrals by dividing to simple fraction method. It defines definite integral. It learns the characteristics of definite integral. It calculates the volume of rotated matters.
10) It calculates the volume of planar spaces by help of integral. It finds out the coordinates of center of gravity in plenar spaces. It makes vocational applications in regard with integral. It solves simple differential problems.
11) It solves differential equation by limit conditions. It makes applications regarding differential equations that are in electricity circuits. It knows the basic concepts concerning statistics.
12) It defines frequency and relative frequency. It learns how to make a frequency table and makes some calculations on frequency distribution.
13) It shows the data in graph It makes (Histogram, diagram, frequency polygon, cummulative frequency curve, bar diagram)
14) Arithmetical, geometrical and harmonic equated calculations.
15) It makes standard and average deflaction calculations.
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 Midterm Examination to Course Grade	30%
Contribution of Final Examination to Course Grade	70%
Total	100%

Language of Instruction

Turkish

Work Placement(s)

Not Required