Course Content

1.1 Powers

1.2 Square root of a real number

1.3 Polynomials

1.4 Factoring a polynomials

1.5 Second degree inequalities

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

3.1 Translation

3.2 Rotation

3.3 Reflection

3.4 Change of Scale

3.5 Dilatation

3.6 Sequence of transformation

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

5.1 Absolute value function

5.2 Square root function

5.3 Greatest integer function

5.4 Rational function

6.1 Basic exponential function

6.2 Exponential function

6.3 Basic logarithmic function

6.4 Logarithmic function

6.5 Logarithmic calculations

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

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

9.1 Geometric locus

9.2 Circle

9.3 Ellipse

9.4 Hyperbola

9.5 Parabola

9.6 Problems on conics

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

11.1 Area and volume of solids

11.2 Equivalent plane figures

11.3 Equivalent solids

11.4 Comparing polygons

11.5 Comparing solids

12.1 Matrices

12.2 Operations on matrices

__Chapter 1:__Arithmetic and Algebraic Expressions1.1 Powers

1.2 Square root of a real number

1.3 Polynomials

1.4 Factoring a polynomials

1.5 Second degree inequalities

__Chapter 2:__Optimization2.1 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 plan3.1 Translation

3.2 Rotation

3.3 Reflection

3.4 Change of Scale

3.5 Dilatation

3.6 Sequence of transformation

__Chapter 4:__Polynomial Functions4.1 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 Functions5.1 Absolute value function

5.2 Square root function

5.3 Greatest integer function

5.4 Rational function

__Chapter 6:__Exponential and logarithmic functions6.1 Basic exponential function

6.2 Exponential function

6.3 Basic logarithmic function

6.4 Logarithmic function

6.5 Logarithmic calculations

__Chapter 7:__Trigonometry7.1 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:__Vectors8.1 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:__Conics9.1 Geometric locus

9.2 Circle

9.3 Ellipse

9.4 Hyperbola

9.5 Parabola

9.6 Problems on conics

__Chapter 10:__Circle geometry10.1 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 figures11.1 Area and volume of solids

11.2 Equivalent plane figures

11.3 Equivalent solids

11.4 Comparing polygons

11.5 Comparing solids

__Chapter 12:__Matrices12.1 Matrices

12.2 Operations on matrices