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) Analytical examination of the line, Analytical examination of the circle
2) Custom-defined functions
3) Limits and continuity
4) Derivative, differentiation rules, differential of a function, the physical meaning of derivatives, geometric meaning of derivatives
5) Derivative of the sum of two functions, Derivative of the multiplication of two functions, Derivative of the division of two functions, Derivative of composite functions, Derivatives of trigonometric functions, Derivatives of İnverse trigonometric functions,
6) Parametric differentiation, Derivative of the logarithmic function, derivative of exponential functions, Logarithmic derivative
7) Tangent and normal equations, Increasing and decreasing functions, Local and absolute extrema, The high degree derivatives
8) Midterm examination/Assessment
9) Definition set of functions, Vertical asymptote, Horizontal asymptote, Oblique asymptote, Examination of change of a function and drawing graph, L'Hospital rule
10) Integral, Indefinite integrals, Integration methods, Partial integration method
11) Integration by useing of trigonometric identities, Integrals of rational functions, Integrals of irrational functions
12) Fundamental theorems of calculating integral, The definite integral, the Riemann sum, Properties of definite integral, Integrals of custom-defined functions
13) Area and volume calculations by integral, Calculation of arc length
14) Matrix, equality of matrices, matrix types(Square matrix, zero matrix, symmetric matrix, Inverse Symmetric Matrix, Diagonal Matrix, Dot Matrix, Triangular Matrix), Multiplication of matrices, Transpose of a matrix
15) Determinants, Sub-Determinants, Sarrus rule, Properties of determinant, Adjoint matrix, Rank of a matrix, Systems of linear equations, Cramer's method, Systems of homogen linear equations
16) Final examination

Recommended or Required Reading

1- Mesleki Matematik, Dora Yayınları
2- Meslek Yüksek Okulları için Genel Matematik, Yrd. Doç. Dr. Veysel ATASOY
3- Meslek Yüksek Okulları için Uygulamalı Matematik Yrd. Doç. Dr. Kamil Temizyürek , Yrd. Doç. Nurdan Çolakoğlu
4- Genel Matematik, Prof. Dr. Mustafa BALCI

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Group Study
4) Lab / Workshop
5) Project Based Learning

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