Duyurular & Dokümanlar

MAT 1320 - Exam preparation questions
Ödev
25.03.2025

Dear friends, Please try to solve the related questions I have sent you in the attachment. Do not hesitate to send me an e-mail if you are stuck or do not understand.

Tümünü İndir


MAT 1072 - Solved problems and Exam preparation questions
Ödev
24.03.2025

Solved problems and Exam preparation questions

Tümünü İndir


MAT1320 - 5. and 6. Weeks Lecture Notes
Ders Notu
18.03.2025

System of linear equations: solving systems of linear equations with aid of equaivalent matrices, linear homogeneous equations and some applications about this.

Tümünü İndir



MAT1072 - 5. and 6. Weeks Lecture Notes
Ders Notu
17.03.2025

from the previous week- Lagrange Multipliers

Multiple Integrals: Double Integrals over Rectangles, Double Integrals by Volume, Evaluation of Double Integrals: Fubini's Theorem (First Form), Double Integrals over General Regions, Double Integrals over Non-rectangular Bounded Regions, Volumes (volume between two surfaces), Fubini's Theorem (More Comprehensive Figure) Finding the Limits of Integration, Using Orthogonal Sections, Using Horizontal Sections, Properties of Double Integrals, Calculating Area in Double Integrals.

Tümünü İndir



MAT1320 - 4. Week Lecture Notes
Ders Notu
11.03.2025

Definition of a determinant. Laplace expansion of a matrix. Properties of a determinant. The adjoint of a matrix, Using the adjoint matrix to find an inverse matrix and some applications about this.


MAT1072 - 4. Week Lecture Notes
Ders Notu
10.03.2025

Tangent Planes and Differentials: Tangent Plane and Normal Line to a Surface. Linearization a Function of Two Variables, Differentials, Extreme Values: Local Extreme Values, Necessary Conditions for Local Extreme Values, Critical and Saddle Points, Second Derivative Test for Local Extreme Values.

Tümünü İndir


MAT1320 - 3. Week Lecture Notes
Ders Notu
4.03.2025

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.


MAT1072 - 3. Week Lecture Notes
Ders Notu
3.03.2025

Directional Derivatives and Gradient Vector: Definition and Calculation of Directional Derivative in the Plane, Gradient Vector, Tangents to Level Curves and Gradients, Directional Derivative in Space.


MAT1320 - 2. Week Lecture Notes
Ders Notu
25.02.2025

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.


MAT1072 - 2. Week Lecture Notes
Ders Notu
24.02.2025

Functions of More Than Two Variables. Partial Derivatives: Partial Derivatives of Functions of Two and Three Variables, Partial Derivatives and Continuity, Equality of Second Order Partial Derivatives and Mixed Derivatives, Higher Order Partial Derivatives, with "Chain Rule for Functions of Two and Three Variables [For Functions with One and Two Independent Variables], Implicit Derivative"


MAT1320 - 1. Week Lecture Notes
Ders Notu
18.02.2025

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.


MAT1072 - 1. Week Lecture Notes
Ders Notu
17.02.2025

Functions of Several Variables: Functions of Two and Three Variables: Domain and Range, Graphs, Level Curves and Level Surfaces, Limits and Continuity in Functions of Two Variables (Two-Way Test for the Absence of Limit, Continuity of Composite Functions),


Tez Dosyaları

Linear control systems on homogeneous spaces
Theorems concerning the existence and uniqueness of solutions of differential equations