منهج مراجعة في الرياضيات لغات في الصف الثالث الثانوي :-
Sect Solid Geometry.
Unit 1: Geometry and Measurement in 2D and 3D.
The 3D orthogonal coordinate system.
The distance between two points in space.
Equation of sphere in space.
Vectors in space.
Adding vectors in 3D.
Multiplying a vector by a scalar.
Directed angles of vectors.
Scalar product of two vectors.
cross product of two vectors.
Vector projections.
Scalar triple product.
Unit 2: Straight Lines and Planes in Space.
Direction vector of straight line.
Vector equation of straight line in space.
Cartesian equation of straight line.
parametric equation of straight line.
parallel , intersecting , and skew lines.
The angle between two lines in space.
Distance between line and point in space.
The vector equation of plan.
The standard equation of plane.
general form of equation of plane.
Equation of line of intersection of two planes.
Distance between parallel planes.
Differential and Integral Calculus.
Review 1: Limits.
Review 2: Continuity.
Derivatives.
Unit 1: Differentiation and its Applications.
Differentiating Trigonometric Functions.
Implicit differentiation.
Parametric differentiation.
Higher Derivatives.
Equation of tangent to a curve.
Equation of normal to a curve.
Finding the equation of tangent given a point outside the curve.
Related Time Rates.
Unit 2: The Calculus of Exponential and Logarithmic functions.
Limits of functions related to the number e.
Differentiating logarithmic and exponential function.
Integrating logarithmic and exponential functions.
Chapter 3: The behaviour of functions and sketching curves.
Increasing and decreasing functions.
Local maximum and minimum.
Absolute maximum and minimum points.
Convexity of a curve.
Graphs of the functions.
Applications on maximum and minimum values.
Chapter 4: The definite integral and its applications.
Integration by substitution.
Integration by parts.
Integration of trigonometric functions.
Fundamental theorem of calculus.
Definite Integration.
Area under a curve.
Area between two curves.
Volumes of solids of revolutions.
Reviews and Examinations.
.Mechanics
Statics.
Revision :forces.
Revision : lami’s rule and triangle of forces.
Friction.
Chapter one : Equilibrium of a body on horizontal rough plane.
The angle of friction.
Chapter two : Equilibrium of a body on rough inclined plane.
Chapter three : The Moment of a force about a point in 2.-
Varignon’s Theorem.
Chapter four : The Moment of a force about apoint in 3-D.
Chapter five: Resultant of Parallel coplanar forces.
Chapter six : Equilibrium of a system of coplanar forces.
Chapter seven : General equilibrium.
Couples.
Chapter eight : Equilibrium of a rigid body under effect of two or more coplanar couples.
Chapter nine: Equivalent couples of two couples.
Center of mass.
Second: Dynamics.
Chapter one : Rectilinear motion.
Chapter two : Momentum.
Chapter three: Newton’s first law.
Chapter four: Newton’s second law.
Chapter five: Newton’s third law.
Chapter six: Motion on an inclined plane
Chapter seven : Simple pulleys.
Pulleys on inclined plane.
Chapter eight : Impulse and collision.
Chapter nine: Work.
Chapter ten: Kinetic energy.
Chapter eleven : principle of work and energy.
Chapter twelve: Potential Energy.
Law Of Conservation Of energy in a Simple Pendulum.
Chapter thirteen: Power.
مراجعات واختبارات.
نصائح حول مراجعة في الرياضيات لغات في الصف الثالث الثانوي :-
· تحتاج مادة الرياضيات أن تجهز لنفسك مكان هادئ لكي تستوعب ما تذاكر بسهولة، حيث أن الضوضاء من الممكن ان تسبب لك تشتت في الاستيعاب.
· يفضل أن تقوم تقوم بالاجابة على امتحانات السنوات السابقة لكي تستطيع أن تحل امتحان نهاية الفصل الدراسي بسهولة.
· يجب عليك عزيزي طالب الصف الثالث الثانوي أن تكون على علم بأهم المصطلحات الموجودة في مادة الرياضيات لغات، لكي لا تواجه مشكلة في فهم أسئلة الامتحان.
