مش بس تعليم منزلي

الرياضيات

الثانوي الثالث · علوم عامة٢٥ وحدةً · ٢٦ درساً
مثال توضيحي

هكذا يبدو تتبّع المسار

سجّل الدخول لتتابع تقدّم طفلك في كل درس — ما أُتقن، وما هو قيد التقدّم، وما الخطوة التالية.

أُتقنقيد التقدّملم يبدأ — سجّل الدخول لتتابع
١2.1 Image of a closed interval by a continuous function. 2.2 Extension of a function by continuity.درس واحد
Continuous function as an interval I. Continuous monotonic function on an interval II. Intermediate value theorem III. Continuous function on a closed interval IV. Root of an equation f(x ) = 0 V. Extending a function by continuity
٢1.2 Inverse functionدرس واحد
Inverse functions I. Composition of functions II. Inverse functions
٣1.3 Inverse trigonometric functions.درس واحد
Inverse trigonometric function I. The arcsine function II. The arc cosine function III. The arctangent function
٤2.6 Rolle's theorem. Equalities and inequalities of the mean. Applications of Hopital's rule.درس واحد
Differential calculus V. Hopital's rule
٥1.4 Natural logarithmic functions.درس واحد
Natural logarithm I. The natural logarithm function II. Study of the function Ln + graphical representation III. Finding antiderivatives using Ln IV. Important limits
٦1.5 Exponential functions.درس واحد
Exponential function I. Exponential function II. Fundamental properties of exp III. Graphical study of the function exp IV. Useful limits V. Finding antiderivatives using exp VI. Notation for the exponential function
٧2.5 Second derivatives. Successive derivatives.درس واحد
Second and high order derivatives I. Higher order derivatives (Only the second derivative) II. Functions concave upward functions concave downward
٨1.6 Numerical sequences: limits, bounded sequences, convergent sequences.درس واحد
Sequence I. Recall II. Limit of a sequence III. Bounded sequences IV. Properties of the convergent sequences V. Rules about limits VI. Sequences and inequalities
٩3.1 Integral: definition and properties.درسان
Integral* I. Definition and notation II. Immediate properties of the integral III. Graphical interpretation of the integral IV. Linearity of the integral V. From the integral to the antiderivative VI. Inequalities and integrals
Properties of the integral* I. Integration by change of variable II. Integrals of even or odd functions IV. Integration by parts
١٠3.2 Rules of integration.درس واحد
Integration techniques* I. Table of antiderivatives II. Rational fractions.
١١3.4 Applications of the integral calculation.درس واحد
Applications to integrations* II Area between two curves
١٢4.1 4.2 4.3درس واحد
First order differential equations I. Differential equations II. Solution of a differential equation III. Equation of the form y′ = f(x) IV. Separable equations V. First ordre linear equations with constant coefficients
١٣4.4درس واحد
Linear second order differential equations with constant coefficients I. Linear second order differential equations with constant coefficients II. Equation of the form y'' = f(x) III. Reduced equation IV. Equation of type y'' + ω²y = k
١٤Combinations: definition, notation, binomial formula, Pascal's triangle.درس واحد
Combinations I. Combinations. IV. Modeling by combinations
١٥1.1 Conditional probability: definition, Independence of 2 events. 1.2 Formula of total probability.درس واحد
Conditional probability I. Conditional probability II. Independent events III. The rule of total probability
١٦2.3 Random real variables, law of associated probability, distribution function.درس واحد
Random variable I. Discrete random variable and their probability distribution II. Distribution functions III. Mean, variance, and standard deviation
١٧3.1 Components of vector product. Triple scalar product.درس واحد
The vector product- the triple scalar product I. The components of the vector product II. Applications III. The triple scalar product of three vectors IV. Analytic expression of the triple scalar product
١٨3.2 Equations of a plane and a line in the space.درس واحد
Planes and lines I. Cartesian equation of a plane II. Parametric equation of a line
١٩3.3 Orthogonality of two straight lines and of a straight line and a plane, perpendicular planes 3.4 Parallelism of straight lines and planes 3.5 Distance from a point to a plane, to a straight line.درس واحد
Parallelism and orthogonality I. Relative position of two planes II. Relative position of a line and a plane III. Relative position of two lines IV. Distance from a point to a plane V. Distance from a point to a line
٢٠4.1 Modulus and argument of a complex number. Properties. 4.3 Geometrical interpretation of the addition and multiplication of complex numbers and of the conjugate.درس واحد
The Modulus Argument of a Complex Number I. The modulus of a complex number II. The argument of a non-zero complex number
٢١4.2 Trigonometric and exponential forms of a complex number.درس واحد
Exponential Form of a Complex Number I. The exponential notation
٢٢4.2 Homotheties.درس واحد
Dilations (homotheties) I. Definitions and properties II. Operations on dilations
٢٣4.6 Geometric interpretation of and . Applications.درس واحد
Complex number in Geometry I. Geometric interpretation of the operations on complex numbers II. Geometric interpretation of argument and modulus
٢٤4.4 Direct plane Similitude: definition, complex forms.درس واحد
Direct plane Similitude I. Definitions II. Properties of direct similitude
٢٥4.3 Complex forms of transformations. 4.5 Transformations defined by .درس واحد
Complex forms I. Complex forms of transformations II. The complex form z' = a z + b

تابِع رحلة طفلك في الرياضيات

سجّل الدخول لتتابع التقدّم درساً درساً، وتحصل على مسارٍ مخصّص ومساعدٍ ذكيّ لكل درس.

سجّل الدخول مجاناً