FACULTY OF SCIENCE / MATHEMATICS / MAT4007 - GEOMETRY I

Contents Of The Courses in a weekly Period

Week 
Subjects 
Sources 
1Some Reminders on Functions [1]
2Functions Defined on Multidimensional Spaces, Image Sets, and Continuity [1]
3Some Theorems Related to Continuity [1]
4 Properties of Continuous Functions with Compact Domain [1]
5 Functions with Connected Domains and Their Properties [1]
6 Differentiability and Derivatives of Functions Defined on Multidimensional Spaces at a Point [1]
7 Differentiability in the Sense of Getaux and Directional Derivatives [1]
8Relationships Between Derivatives and Derivatives with Respect to Direction [1]
9 Partial Derivatives of Functions Defined on Multidimensional Spaces [1]
10k-th Order Differentials of Functions Defined on Multidimensional Spaces [1]
11 Local Concepts and Locally k-th Order Differentiable Functions [1]
12 Local Theorems [1]
13Tangent Vectors in Multidimensional Euclidean Space [1]
14Vector Fields and Covector Fields (1-forms) [1]