Lecture 7 Mathematics 7

After completing the course, students should be able to
1. Describe the characteristics and properties of number sets, and obtain the number systems,
2. Describe and State the concept of function, draw the graph of functions, the lists types of functions.
3. To understands the meaning of limit and continuous function.
4. To knows the meaning of derivative function and applications.
5. Describe the transcendental function.
6. Describe the Unit vector, vector equation, cross product, dot product.
7. To understands the meaning of complex number.
8. Describe the matrix and its operations and to know the determent of its.
System numbers Type of sets, type of interval, Cartesians plain
The functions and its kinds The domain and rang of functions, even and odd functions
The graph of the function Drawing curved function, shifting the graph.
Limit function limit from the left and right
Continuous functions The concept of continuous function, Algebraic operations on continuous functions
Derivatives Methods of derivation, the chain rule
Applications on derivatives Applications on derivatives
Exponential functions Kind of exponential functions
The inverse trigonometric functions Types of trigonometric functions, The inverse of the trigonometric functions
Hyperbolic functions Kind of Hyperbolic functions
Vector Meaning vector, algebraic properties of vectors
The operations on the Vector vector equation, cross product, dot product
Matrices and their types Types of matrices, operations on matrices.
Solving systems of linear equations Use matrices in solving linear systems of equations.
Complex numbers properties of complex numbers, the representation of the complex number.