الهندسة الإدارية (السنة الدراسية 2018/2019) - Indirizzo produzione

Calculus 1

أساتذة الفيديو: Assem Deif - University of Cairo (Cairo - Egypt), Hany Abdel-Malek - University of Cairo (Cairo - Egypt)

درس رقم 1: Introduction Real number and complex numbers Power Roots Notational conventions in fields Polynomials		Michael Lambrou
درس رقم 2: Vectors Vectors Equal vectors Addition of two vectors Subtraction of two vectors Coordinates of a vector Norm of a vector		Michael Lambrou
درس رقم 3: Inner Product Angle between two vectors Inner product of vectors Orthogonal vectors		Michael Lambrou
درس رقم 4: Cross Product Cross product of vectors An important formula		Michael Lambrou
درس رقم 5: Vector Spaces Definition Theorem		Michael Lambrou
درس رقم 6: Matrices I Operations with Matrix Diagonal matrix The trace of a square matrix Scalar multiplication Identity matrix		Michael Lambrou
درس رقم 7: Bases I Definition of linear combination Definition of linear independence Bases		Michael Lambrou
درس رقم 8: Matrices II Definition Properties Inverse of a 2x2 matrix Types of matrices		Michael Lambrou
درس رقم 9: Linear Systems Linear Systems Homogeneous linear system		Michael Lambrou
درس رقم 10: Determinants Definition of determinant Addition of two rows or columns Determinants and systems		Michael Lambrou
درس رقم 11: Linear Transformations Definition Examples		Michael Lambrou
درس رقم 12: Bases II Extension of Sub-Basis Solution		Michael Lambrou
درس رقم 13: Orthonormal Bases Definition Gram-Schmidt process		Michael Lambrou
درس رقم 14: Matrix of a Transformation Matrix of a linear transformation Application		Michael Lambrou
درس رقم 15: Eigenvalues Definition Theorem Cayley		Michael Lambrou
درس رقم 16: Eigenvectors Recall the definition Eigenspaces Linear independence of eigenvectors		Michael Lambrou
درس رقم 17: Diagonalization Definition Theorem		Michael Lambrou
درس رقم 18: Straight Lines Vector form of a straight line General equation of a line Mid-point Perpendicular Bisector vector equation of a line (I)		Michael Lambrou
درس رقم 19: Circle Distance between two points on the plans Parametric equations of a circle Tangent of a circle Relative positions		Michael Lambrou
درس رقم 20: Conic Sections I The parabola The tangent of the parabola		Michael Lambrou
درس رقم 21: Conic Sections II Ellipse Parametrical equations Eccentricity Hyperbola		Michael Lambrou
درس رقم 22: 3D-Space Three dimensional space Midpoint in 3 dimensions Straight line		Michael Lambrou
درس رقم 23: Planes in Space I Equation of a plane in space Parametric equation of a plane		Michael Lambrou
درس رقم 24: Planes in Space II Intersection of two planes in space Geometric illustration		Michael Lambrou
درس رقم 25: Spheres and Cylinders A cylinder in space Plane		Michael Lambrou
درس رقم 26: Introduction Differential and Integral Calculus Limit Squaring of the parabola		Assem Deif
درس رقم 27: Real Numbers Sets and relations The set R Algebraic and order properties Inequalities Neighborhood Cartesian product		Assem Deif
درس رقم 28: Real Functions The Function as a Concept Characteristics of f Domain and range of a function		Assem Deif
درس رقم 29: Classifications of functions The Function Even Function Odd Function Monotonically increasing Periodic Function New Equation		Assem Deif
درس رقم 30: Basic functions Power function Exponential function Trigonometric functions Trigonometric identities Hyperbolic identities		Assem Deif
درس رقم 31: Composite functions Composite functions in engineering Method of constructing fog		Assem Deif
درس رقم 32: Inverse functions Steps to obtain f Logarithmic Function Solving the equation Theorem		Assem Deif
درس رقم 33: Limits Limit of a sequence Limit of a Function One?sided limit		Assem Deif
درس رقم 34: Limit theorem Basic theorems Squeeze Theorem		Assem Deif
درس رقم 35: Continuity Definition of Continuity Continuity Theorems Continuity on an Interval The Extreme Value Theorem		Assem Deif
درس رقم 36: Differentiation Definition of the Derivative Differentiability on an Interval Differentiation Laws Derivatives of Basic Functions		Assem Deif
درس رقم 37: Derivative of the inverse, composite and implicit functions Derivative of the Inverse Function Derivative of the Composite Function Derivative of Implicit and parametric Functions Repeated Differentiation		Assem Deif
درس رقم 38: Applications to the derivative Mean Value Theorem and Taylor Formula Approximations		Assem Deif
درس رقم 39: Indeterminate forms and l'hospital rule Indeterminate quantities Cauchy mean value theorem L?Hospital Rule Convexity, Concavity and Extrema Convexity and Concavity		Assem Deif
درس رقم 40: Maximum and minimum values of a function Definition of a Local Extrema 1th test of Local Extrema 2nd test of Local Extrema Definition of the Absolute Extrema		Assem Deif
درس رقم 41: Curve sketching Mechanical techniques for drawing graphs Graphical Properties		Assem Deif
درس رقم 42: Antiderivative or the indefinite integral Notion of the Indefinite integral Remarks about the Antiderivative Properties of the indefinite integral		Assem Deif
درس رقم 43: Integration by substitution Theorem By Completing the Square		Assem Deif
درس رقم 44: Integration by parts Theorem Reduction Formula		Assem Deif
درس رقم 45: Trigonometric and hyperbolic integrals The equivalence of trigonometric and hyperbolic integrals Rules for even and odd powers When do the rules fail		Assem Deif
درس رقم 46: Trigonometric and hyperbolic substitutions Types of substitutions By using a reduction formula A second method		Assem Deif
درس رقم 47: Integration by partial fractions Partial fractions representation Some Integrals		Assem Deif
درس رقم 48: The definite integral The Definite Integral as a Limit to Riemann Sum Riemann Sum Theorem		Assem Deif
درس رقم 49: Properties of the definite integral Properties of integrable functions Useful theorems on parity Integral Mean value theorem		Assem Deif
درس رقم 50: Fundamental theorem for calculus - The fundamental theorem Improper integrals Applications to the Integral Calculating Areas Solid of Revolution Length of Curves Surface Areas of Revolution		Assem Deif

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الهندسة الإدارية (السنة الدراسية 2018/2019) - Indirizzo produzione

Calculus 1

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الهندسة الإدارية (السنة الدراسية 2018/2019) - Indirizzo produzione

Calculus 1

درس فيديو