104 ريض - رياضيات عامة (2)

Syllabus:

1. Conic sections:

Parabola, Ellipse and Hyperbola, Second Degree Equations.

2. Algebra:

Matrices, System of Linear Equations, Gauss Elimination Method, Determinants, Crammer's rule.

3. Integration:
   
   1. Methods of Integration: by Substitution, by Parts, Integrations Involving Quadratic Expressions, Integration by Partial Fractions.
   2. Applications of Integration: Area, Volume of revolution (Washer Method and Cylindrical Shells).
   3. Polar Coordinates: Areas of Polar Regions.

4. Functions of Several Variables:

Partial Differentiation, Chain Rule, Implicit Differentiation.

5. Ordinary Differential Equations:

Separable Differential Equations, First Ordinary Linear Differential Equations.

 

Videos:

 

1. Conic sections:
   
   1. Parabola: Video 1 – Video 2 – Video 3.
   2. Ellipse: Video 1 – Video 2.
   3. Hyperbola: Video 1 – Video 2 – Video 3

2. Algebra:
   
   1. Matrices: Video 1 – Video 2.
   2. Determinants: Video 1 – Video 2.
   3. Linear Systems: Video 1 – Video 2.

3. Integration:
   
   1. Methods of Integration: Video 1 – Video 2 – Video 3 – Video 4 – Video 5 – Video 6.
   2. Applications of Integration: Video 1 – Video 2 – Video 3 – Video 4
   3. Polar Coordinates: Video 1 – Video 2

4. Functions of Several Variables: Video 1 – Video 2 – Video 3

5. Ordinary Differential Equations: Video 1 – Video 2