Course Content
Chapter 1: Arithmetic and Algebraic Expressions
1.1 Powers
1.2 Square root of a real number
1.3 Polynomials
1.4 Factoring a polynomials
1.5 Second degree inequalities
Chapter 2: Optimization
2.1 First degree equations with two variables
2.2 First degree inequalities with two variables
2.3 System of first degree equations with two variables
2.4 System of first degree inequalities with two variables
2.5 Polygon of Constraints
2.6 Optimization of a situation
Chapter 3: Transformations in the Cartesian plan
3.1 Translation
3.2 Rotation
3.3 Reflection
3.4 Change of Scale
3.5 Dilatation
3.6 Sequence of transformation
Chapter 4: Polynomial Functions
4.1 Functions
4.2 Polynomial functions
4.3 Quadratic function- Standard Form
4.4 Quadratic function - General Form
4.5 Quadratic function - Factored forms
4.6 Study of a quadratic function
Chapter 5: Real Functions
5.1 Absolute value function
5.2 Square root function
5.3 Greatest integer function
5.4 Rational function
Chapter 6: Exponential and logarithmic functions
6.1 Basic exponential function
6.2 Exponential function
6.3 Basic logarithmic function
6.4 Logarithmic function
6.5 Logarithmic calculations
Chapter 7: Trigonometry
7.1 Trigonometric ratios in a right triangle
7.2 Sine lay and cosine law
7.3 Arc length
7.4 Trigonometric circle
7.5 Periodic functions
7.6 Sine function
7.7 Cosine function
7.8 Tangent function
7.9 Trigonometric identities
7.10 Trigonometric equations
Chapter 8: Vectors
8.1 Geometric vectors
8.2 Operations on geometric vectors
8.3 Algebraic vectors
8.4 Scalar product
8.5 Orthogonal projection
8.6 Vectors and geometric proofs
Chapter 9: Conics
9.1 Geometric locus
9.2 Circle
9.3 Ellipse
9.4 Hyperbola
9.5 Parabola
9.6 Problems on conics
Chapter 10: Circle geometry
10.1 Geometric elements of a circle
10.2 Angles, arcs and chords
10.3 Inscribed angles, interior angles, exterior angles
10.4 Power of a point with respect to a circle
Chapter 11: Equivalent figures
11.1 Area and volume of solids
11.2 Equivalent plane figures
11.3 Equivalent solids
11.4 Comparing polygons
11.5 Comparing solids
Chapter 12: Matrices
12.1 Matrices
12.2 Operations on matrices
Chapter 1: Arithmetic and Algebraic Expressions
1.1 Powers
1.2 Square root of a real number
1.3 Polynomials
1.4 Factoring a polynomials
1.5 Second degree inequalities
Chapter 2: Optimization
2.1 First degree equations with two variables
2.2 First degree inequalities with two variables
2.3 System of first degree equations with two variables
2.4 System of first degree inequalities with two variables
2.5 Polygon of Constraints
2.6 Optimization of a situation
Chapter 3: Transformations in the Cartesian plan
3.1 Translation
3.2 Rotation
3.3 Reflection
3.4 Change of Scale
3.5 Dilatation
3.6 Sequence of transformation
Chapter 4: Polynomial Functions
4.1 Functions
4.2 Polynomial functions
4.3 Quadratic function- Standard Form
4.4 Quadratic function - General Form
4.5 Quadratic function - Factored forms
4.6 Study of a quadratic function
Chapter 5: Real Functions
5.1 Absolute value function
5.2 Square root function
5.3 Greatest integer function
5.4 Rational function
Chapter 6: Exponential and logarithmic functions
6.1 Basic exponential function
6.2 Exponential function
6.3 Basic logarithmic function
6.4 Logarithmic function
6.5 Logarithmic calculations
Chapter 7: Trigonometry
7.1 Trigonometric ratios in a right triangle
7.2 Sine lay and cosine law
7.3 Arc length
7.4 Trigonometric circle
7.5 Periodic functions
7.6 Sine function
7.7 Cosine function
7.8 Tangent function
7.9 Trigonometric identities
7.10 Trigonometric equations
Chapter 8: Vectors
8.1 Geometric vectors
8.2 Operations on geometric vectors
8.3 Algebraic vectors
8.4 Scalar product
8.5 Orthogonal projection
8.6 Vectors and geometric proofs
Chapter 9: Conics
9.1 Geometric locus
9.2 Circle
9.3 Ellipse
9.4 Hyperbola
9.5 Parabola
9.6 Problems on conics
Chapter 10: Circle geometry
10.1 Geometric elements of a circle
10.2 Angles, arcs and chords
10.3 Inscribed angles, interior angles, exterior angles
10.4 Power of a point with respect to a circle
Chapter 11: Equivalent figures
11.1 Area and volume of solids
11.2 Equivalent plane figures
11.3 Equivalent solids
11.4 Comparing polygons
11.5 Comparing solids
Chapter 12: Matrices
12.1 Matrices
12.2 Operations on matrices