Algebra - Math | StudyZone

ذاكر "Algebra" في مادة Math على Study Zone — 97 دروس، شرح تفاعلي وملخصات وأسئلة.

دروس Algebra

• Introduction to Algebra
• Practice on
• To Find the Area Bounded By the Curve of a Function and the X Axis on a Closed Interval
• To Find the Volume of Revolution Generated By Revolving a Region Bounded By the Curve of the Function and the X Axis
• To Identify the Area As a Definite Integration
• To Apply Mathematical Modeling
• the General Form of the General Term Tn+1 in the Expansion of (a + B) N
• the Order and the Value of the Middle Term and the Two Middle Terms
• the Relation Between Pascal's Triangle and Coefficient of the Binomial
• Properties of Cubic Roots of Unity
• the Cubic Roots of Unity.
• Demoivre's Theorem with Positive Integer Power.
• Demoivre's Theorem with Positive Rational Power.
• the Roots of Complex Number.
• Understanding Higher Order
• Understanding Logarithmic Differentiation
• Understanding Modeling Problems
• Understanding the Derivatives of Exponential Functions
• Understanding the Derivatives of Logarithmic Functions
• Find the Coefficient of the Term Containing Xk
• Find the Highest Coefficient of the Expansion
• Using the General Term To Find the Term Containing Xk To Find the Coefficient of the Term Containing Xk and Term Free of X
• Understanding How To Find Higher Order Derivatives of a Function
• To Understand Implicit Differentiation
• To Understand Parametric Differentiation
• To Apply Daily Life Situations Involving the Increasing and Decreasing Intervals of a Function
• Using the First Derivative To Determine the Increasing or Decreasing Intervals of a Function
• To Perform Geometric Applications
• To Perform Physical Applications
• To Recognize the Integration of Exponential and Logarithmic Functions
• Different Forms of the Equation of a Straight Line.
• Direction Vector of a Straight Line.
• Parallel Straight Lines.
• Perpendicular Straight Lines.
• the Angle Between Two Straight Lines.
• the Distance Between a Point and a Straight Line.
• To Apply the First Derivative Test for Local Maximum and Minimum Values
• To Find the Maximum Values of a Function on a Closed Interval
• To Understand the Concept of Local Maximum and Minimum of a Function
• To Understand the Concept of the Critical Point
• To Calculate the Integration By Parts
• To Calculate the Integration By Substitution
• To Find the Differential of a Function
• To Find the Original Function of a Given Function
• Derivation of the Reciprocal of Trigonometric Functions.
• the Ratio Between the Two Coefficients of Two Consecutive Term
• the Ratio Between Two Consecutive Terms
• To Determine the Convex Intervals of a Function Curve (Upward and Downward)
• To Find the Inflection Points of a Function Curve
• To Sketch Curves
• To Use the Second Derivative Test To Find Local Maximum and Minimum Values
• To Understand Some Properties of Definite Integration
• To Understand the Concept of Definite Integration
• To Use the Fundamental Theorem of Calculus To Find the Definite Integration
• Angle Between Two Planes.
• Condition of Orthogonal Planes.
• Condition of Parallel Planes.
• Equation of Intersection Line of of Two Planes in Space.
• Formative
• General Equation of a Plane in Space.
• Standard Equation of a Plane in Space.
• the Distance Between a Point and a Plane.
• the Distance Between Two Parallel Planes.
• Vector Equation of a Plane in Space.
• Dimensional Orthogonal Coordivate System
• Dimensional Orthogonal Coordivate System 1: Determine the Position of a Point 3D Coordinate System.
• Dimensional Orthogonal Coordivate System 2: Identify the Coordinates of a Midpoint of a Line Segment Joining Between 2 Points in Space.
• Dimensional Orthogonal Coordivate System 3: Find the Distance Between 2 Points in the Space.
• Related Rates
• Related Rates 1: Explaining the Concept of Time Related Rates of Change
• Related Rates 2: Explaining Methods for Solving Time Related Rate of Change Equations
• Related Rates 3: Modeling and Solve Mathematical, Physical, and Life Related Problems
• Amplitude of the Argument of a Complex Number.
• Graphical Representation of the Sum of Two Complex Numbers.
• Modulus of the Complex Number.
• Principle the Basic Argument of a Complex Number.
• the Graphical Representation a Complex Number and Its Conjugate in Argands Plane
• the Modulus and the Amplitude of the Product and Quotient of Two Complex Numbers.
• the Trigonometric From of the Complex Number.
• Adding Vectors in Space.
• Equality of Two Vectors in Space.
• Expresses the Vector in Terms of the Unit Vectors.
• Expressing the Directed Line Segment in Space in Terms of Its Terminal.
• Fundamental Unit Vectors in Space.
• Multiply a Vector By a Real Number.
• Position Vector in Space.
• Representing the Vector By Three Components.
• the Norm of a Vector in Space.
• Unit Vector in the Direction of a Vector in Space.
• Parallel and Perpendicular Vectors.
• Scalar Product of Two Vectors in a Plane and Space.
• the Angle Between Two Vectors.
• the Component of a Vector in the Direction of Another Vector.
• the Cross Product of Two Vectors in a Plane and in Space.
• the Projection of a Vector in the Direction of Another Vector.
• the Right Hand System of Unit Vectors.
• the Scalar Triple Product.

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