Ders Notu 8
| Differentiability and Continuity, Differentiation Rules, Higher Order Derivatives, Chain Rule, Implicit Differentiation, Derivatives of Transcendent Functions, Tangent and Normal Lines, Linearization and Differentials. |
Definition of a determinant. Laplace expansion of a matrix. Properties of a determinant. Rule of Sarrus. The adjoint of a matrix.
Elementary row and column operations in the Matrices. Row-Echelon form and reduced row-echelon form. Rank of a matrix. Inverses of matrices and some applications about this.
Infinite Symbols and Limit. Continuity: Continuity at a Point, Continuity over a Set, Types of Discontinuity, Intermediate Value and Extreme Value Theorems. Derivative: Derivative at a Point, Derivative as a Function, One-sided Derivatives, Derivative over an Interval,
Some Special Matrices and matrix applications.(Symmetric Matrix,Anti symmetric matrix, periodic matrix, idempotent matrix, Nilpotent matrix, orthogonal matrix, A conjugate of a matrix and its properties, hermitian matrix,Anti hermitian matrix, regular matrix, singuler matrix, and their applications. Elementary row and column operations in the Matrices.
| Inverse of a Function, Inverse Trigonometric Functions, Exponential and Logarithmic Functions, Hyperbolic-Inverse Hyperbolic Functions. Limits: Limit of a Function, One-sided Limits, Theorems on Limits (Limit Rules), Squeezing (Pinching) Theorem, |
Definition of matrix, types of matrix, Equality of Matrices, Addition and subtraction of matrices, matrix multiplication by a scalar, Some properties about them. Multiplying matrices and Some properties about it. Transposes of matrices and properties of the transpose.
Functions: Domain and Range of a Function, Functions and Graphics, Some Elemanter Functions (Polinomials, Rational Functions, Algebraic Functions), Some Concepts Related to Functions (Even-Odd Functions, Bounded Function, Increasing-Decreasing Functions, Implicit Function), Combinations of Functions ((Sum, Difference, Product and Quotient), Composition of Functions, Piecewise Functions. Transandantal Functions: Trigonometric Functions,Inverse of a Function, Inverse Trigonometric Functions, Exponential and Logarithmic Functions.
Duyuru 1
Ekte, dört adet kısa sınavınız ve bunların ortalaması bulunmaktadır. Bu ortalamayı ikinci vize notu olarak, yani %35 etki oranında OBS sistemine gireceğim.
Final sınavınızda başarılar dilerim.
NOT: Hiç bir şekilde mazeret bildirmeden, veya son haftaya kadar hiç bir şekilde iletişime geçmeyerek sınavlara katılmama sebebi üzerine bilgi vermeyen öğrencilerimizin notlarını sıfır olarak yazdım.
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Attached are your four short exams and their average score.
I will enter this average as your second midterm grade, which will account for 35% of your 2nd midterm in the OBS system.
I wish you success on your final exam.
NOT: I have written zero for the grades of students who did not provide any information about the reason for not taking the exams, without giving any excuse or communicating in any way until the last week.