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١3.2 Polynomials, equations and inequalities of degree two.درسان
Quadratic equations second degree equations
I. Quadratic equation in one unknown
II. Solution of a quadratic equation
III. The sum and product of roots
IV. Equations that can be reduced to quadratic Equations
V. Parametric equationsسجّل الدخول لتتابع
Signs of quadratic functions *
I. Canonical form of a quadratic function
II. Sign of the quadratic function
III. Second degree inequality with one unknown
IV. System of second-degree inequalities with one unknownسجّل الدخول لتتابع
٢3.1 Equations of a Circleدرس واحد
Equations of a Circle
I. Equations of a circle
II. The disc
III. Power of a point with respect to a circle
IV. Relative position of a line and a circle
V. Tangents to a circleسجّل الدخول لتتابع
٣1.1. Orthogonality in space.درس واحد
Orthogonality in space
I. Orthogonal lines
II. Line perpendicular to a plane
III. Perpendicular planes
IV. Mediator plane of a segment
(perpendicular bisector plane)سجّل الدخول لتتابع
٤2.1. Vectors and reference frame in space.درس واحد
Vector and coordinate system in space
I. Vectors in space
II. Coplanar vectors
III. Basis and systems in space
IV. Analytic expressions of geometric properties
V. Particular systems
VI. Orientation in spaceسجّل الدخول لتتابع
٥1.1 Limit of a function. Asymptotes.درس واحد
Limits of functions at infinity
I. Limit of a function at + infinity
II. Limit of a function at - infinity
III. Operations on limits
IV. Limits of rational functions
V. Limits and inequalitiesسجّل الدخول لتتابع
٦1.1. Limit of a function asymptotes.درس واحد
Limit of a function at a point
I. Infinite limit of a function at a point
II. Finite limit of a function at a point
III. Operations on limits
IV. Limits and inequations
V. Continuity of usual functionsسجّل الدخول لتتابع
٧2.2 Derivative function.درس واحد
Derivatives
I. The derivative of a function at a point
II. Derived function
III. The derivative of some usual functions
IV. Operations on derivativesسجّل الدخول لتتابع
٨1.1 Oriented angle of two vectors.
2.1 solution of equations of the form sinx=a, cosx = a, tanx = a.درس واحد
Elementary trigonometric equations
I. Oriented angle of two vectors.
II. Polar coordinates
III. Solution of the equation cosx = a
IV. Solution of the equation sinx = a
V. Solution of the equation tanx = a
VI. The Elementary Equation in the General Caseسجّل الدخول لتتابع
٩1.2 Basic trigonometric formulas.درس واحد
Trigonometric Formulas
I. Addition formulas
II. Double angle formulas
III. Tangent formulas
IV. Factoring or linearization formulas
V. Tangent of half angleسجّل الدخول لتتابع
١٠2.1. Arrangements and permutations.درس واحد
Permutations
I. Factorial notation
II. Permutations
III. Permutation with repetition (R-LIST)سجّل الدخول لتتابع
١١2.1. Notion of probability.
2.2 Sample space. The case of equally likely events.درس واحد
Probability-I
I. Random experiment
II. Events
III. Operations on eventsسجّل الدخول لتتابع
١٢2.1 Numericalsequence.
Arithmetic sequence.
Geometric sequence.درس واحد
Sequences
I. Arithmetic sequences geometric sequences
II. Sequences
III. Notation
IV. Determination of a sequence
V. Proof by mathematical induction
VI. Sense of variation of a sequenceسجّل الدخول لتتابع
١٣2.3 Vector product
3.2 scalar ptoduct in spaceدرس واحد
Scalar Products (Dot Products). Vector Products (Cross Products)
I. Scalar product
II. Analytic expression
III. Norm – Distance – Angle
IV. Applications of the scalar product
V. Vector product (Cross Product)
VI. Applications of the vector productسجّل الدخول لتتابع
١٤2.4. Study of a functions. Polynomial functions. Rational functions.درس واحد
Functions
I. Sense of variations of a function
II. Local extremum
III. Axis of symmetry for a curve
IV. Center of symmetry for a curve
V. Examples on the discussion of a function
VI. Applications of the discussion of a function
VII. Graphical solution of a quadratic equation and inequalityسجّل الدخول لتتابع
١٥2.3 Properties of probability
2.4 Calculus of probabilities.درس واحد
Probability II
Probability
Equiprobable spaces (Equality likely outcomes)
Properties of a probabilityسجّل الدخول لتتابع
١٦3.1 3.1 Antideravatives of a function continuous on an interval: calculation of antiderivatives.درس واحد
Antiderivatives
I. The set of antiderivatives of a function
II. Operations on antiderivatives
III. Antiderivatives of usual functions
IV. Antiderivatives of trigonometric functions
V. Antiderivatives of countinuous functions
VI. Antiderivatives that satisfy a given conditionسجّل الدخول لتتابع
١٧5.1 Complex numbers: Definition, algebraic form.
5.2 Operations on complex numbers.
5.3 Geometric representation of a complex number.درس واحد
Complex Numbers
I. Definitions – operations on complex numbers
II. Conjugate of a complex number
III. The reciprocal of a nonzero complex number
IV. The quadratic equation
V. Geometric representation of a complex numberسجّل الدخول لتتابع
تابِع رحلة طفلك في الرياضيات
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