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New Calculus Video Playlist

The Organic Chemistry Tutor via YouTube

Syllabus

Calculus 1 Review - Basic Introduction.
Calculus 1 Review - Basic Introduction - Membership.
Calculus - Recommended Textbooks.
Functions.
Vertical Line Test.
Domain and Range of a Function From a Graph.
Evaluating Piecewise Functions.
Increasing and Decreasing Functions.
Even, Odd, or Neither Functions The Easy Way! - Graphs & Algebraically, Properties & Symmetry.
Linear Functions.
How To Graph Absolute Value Functions - Domain & Range.
Graphing Quadratic Functions Using a Data Table.
Graphing Piecewise Functions.
How To Graph Polynomial Functions Using End Behavior, Multiplicity & Zeros.
How To Graph Radical Functions & Determine The Domain and Range.
Graphing Rational Functions Using Transformations With Vertical and Horizontal Asymptotes.
Graphing Logarithmic Functions.
How To Graph Exponential Functions.
Function Operations.
Composite Functions.
Introduction to Inverse Functions.
Horizontal Line Test and One to One Functions.
Properties of Logarithms.
Natural Logarithms.
Solving Exponential Equations.
Solving Logarithmic Equations.
Logarithms - Practice Problems.
Calculus 1 - Introduction to Limits.
Calculus 1 - Introduction to Limits - Membership.
Introduction to Limits.
Properties of Limits.
How To Evaluate Limits From a Graph.
Evaluating Limits By Factoring.
Limits of Rational Functions - Fractions and Square Roots.
Limits.
Evaluating Limits With Fractions and Square Roots.
How To Evaluate Limits of Radical Functions.
Limits and Absolute Value.
Limits of Exponential Functions.
Limits of Trigonometric Functions.
Infinite Limits and Vertical Asymptotes.
Limits of Inverse Trigonometric Functions.
How To Find The Limit At Infinity.
Limits at Infinity With Radicals & Fractional Exponents.
Limits at Infinity & Horizontal Asymptotes.
Limits and Logarithms.
Squeeze Theorem.
Logarithms - e - Euler's Number.
Greatest Integer Function With Limits & Graphs.
Limits of Logarithmic Functions.
Intermediate Value Theorem.
Continuity Basic Introduction, Point, Infinite, & Jump Discontinuity, Removable & Nonremovable.
Piecewise Functions - Limits and Continuity.
3 Step Continuity Test, Discontinuity, Piecewise Functions & Limits.
Limits and Continuity.
Continuity and Differentiability.
Derivatives for Beginners - Basic Introduction.
Definition of the Derivative.
The Constant Rule For Derivatives.
The Power Rule For Derivatives.
The Constant Multiple Rule For Derivatives.
Derivatives of Polynomial Functions.
Derivative of Sine and Cosine Functions.
Derivatives of Trigonometric Functions.
Limits and Derivatives.
How To Find The Equation of The Tangent Line With Derivatives.
How To Find The Equation of a Tangent Line Using Derivatives - Calculus 1.
How to Find The Point Where The Graph has a Horizontal Tangent Lines Using Derivatives.
How To Find The Equation of the Normal Line.
How To Find The Equation of a Secant Line.
Average Velocity and Instantaneous Velocity.
Instantaneous Rate of Change.
Derivatives of Rational Functions.
Derivatives of Radical Functions.
How To Find The Derivative of a Fraction - Calculus.
Higher Order Derivatives.
Simplifying Derivatives.
Product Rule For Derivatives.
Derivatives - Product Rule With 3 Functions.
Derivatives - Product Rule - 4 Functions.
Quotient Rule For Derivatives.
Chain Rule For Finding Derivatives.
How To Find The Derivative of Sin^2(x), Sin(2x), Sin^2(2x), Tan3x, & Cos4x.
Calculus - Chain Rule - Derivatives.
Find The Derivative Using The Chain Rule.
Implicit Differentiation.
Derivatives of Inverse Trigonometric Functions.
Derivatives of Exponential Functions.
Derivative of Logarithmic Functions.
Introduction to Logarithmic Differentiation.
Finding Derivatives Using Logarithms - Differential Calculus.
Derivatives of Inverse Functions.
Basic Differentiation Rules For Derivatives.
Introduction to Related Rates.
dy/dx, d/dx, and dy/dt - Derivative Notations in Calculus.
Related Rate Problems - The Cube - Volume, Surface Area & Diagonal Length.
Related Rates - Inflated Balloon & Melting Snowball Problem - Surface Area & Volume.
Related Rates - Gravel Being Dumped & Conical Tank Problem.
Related Rates - Area of a Triangle.
Related Rates - The Ladder Problem.
Related Rates - Distance Problems - Application of Derivatives.
Related Rates - Airplane Problems.
Related Rates - The Shadow Problem.
Related Rates - The Baseball Diamond Problem.
Related Rates - Angle of Elevation Problem.
Extreme Value Theorem.
Finding Critical Numbers.
Finding Local Maximum and Minimum Values of a Function - Relative Extrema.
Finding Absolute Maximum and Minimum Values - Absolute Extrema.
Rolle's Theorem.
Mean Value Theorem.
Increasing and Decreasing Functions - Calculus.
First Derivative Test.
Concavity, Inflection Points, and Second Derivative.
Second Derivative Test.
L'hopital's rule.
Curve Sketching - Graphing Functions Using Derivatives.
Newton's Method.
Optimization Problems - Calculus.
Optimization Problems - Part 2 - Membership.
Marginal Cost and Average Total Cost.
Marginal Cost, Marginal Revenue, and Marginal Profit.
Finding The Linearization of a Function Using Tangent Line Approximations.
Differentials and Derivatives - Local Linearization.
Estimating Function Values Using Differentials and Local Linearization.
Antiderivatives.
Antiderivatives - Membership.
Math.
Calculus 1 - Integration & Antiderivatives.
Calculus 1 - Integration & Antiderivatives - Membership.
Integral of 1/sqrt(x).
Basic Integration Problems.
Integral of 1/e^x.
Indefinite Integral.
Indefinite Integral of 1/x^2.
Finding Particular Solutions of Differential Equations Given Initial Conditions.
Integral of sinx cosx.
Definite Integral.
Calculus - Definite Integrals.
Properties of Definite Integrals - Basic Overview.
Rectilinear Motion Problems - Distance, Displacement, Velocity, Speed & Acceleration.
Summation Formulas and Sigma Notation - Calculus.
Riemann Sums - Left Endpoints and Right Endpoints.
Midpoint Rule & Riemann Sums.
Finding The Area Using The Limit Definition & Sigma Notation.
Evaluating Definite Integrals Using Geometry.
Integral of absolute value of x or abs(x).
Fundamental Theorem of Calculus Part 1.
Fundamental Theorem of Calculus Part 2.
Net Change Theorem - Calculus Word Problems.
Mean Value Theorem For Integrals.
Average Value of a Function Over an Interval - Calculus.
How To Integrate Using U-Substitution.
How To Integrate Using U-Substitution - Membership.
U-substitution With Definite Integrals.
Separable First Order Differential Equations - Basic Introduction.
Initial Value Problem.
Area Between Two Curves.
Area Between Two Curves - Membership.
Disk & Washer Method - Calculus.
Disk & Washer Method - Calculus - Membership.
Shell Method - Volume of Revolution.
Shell Method - Volume of Revolution - Membership.
Volumes Using Cross Sections - Calculus.
Volumes Using Cross Sections - Calculus - Membership.
Calculus 1 Final Exam Review.
Calculus 1 Final Exam Review - Membership.
Arc Length Calculus Problems,.
Surface Area of Revolution By Integration Explained, Calculus Problems, Integral Formula, Examples.
Work Problems - Calculus.
Integration By Parts.
Integration By Parts - Membership.
Indefinite Integral.
Integration By Parts - Tabular Method.
Calculus - Integration By Parts.
Trigonometric Integrals.
Trigonometric Integrals - Membership.
Trigonometric Substitution.
Trigonometric Substitution - Membership.
Integration By Partial Fractions.
Integration By Partial Fractions - Membership.
Trapezoidal Rule.
Simpson's Rule & Numerical Integration.
Improper Integrals - Convergence and Divergence - Calculus 2.
Improper Integrals - Convergence & Divergence - Calculus 2 - Membership.
Integration into Inverse trigonometric functions using Substitution.
Integration of Rational Functions into Logarithms By Substitution & Long Division.
Integral of Logarithmic Functions.
Integrating Exponential Functions By Substitution - Antiderivatives - Calculus.
Indefinite Integral of 7^lnx.
Calculus - Indefinite Integral of Exponential Functions.
Integration Formulas For Trig Substitution.
Integration By Tables.
Reduction Formulas For Integration.
Moment, Center of Mass, and Centroid - Calculus Problems.
Center of Mass & Centroid Problems - Calculus.
Hydrostatic Force Problems - Calculus 2.
Probability Density Functions.
Normal Distribution & Probability Problems.
Homogeneous Differential Equations.
First Order Linear Differential Equations.
Bernoulli's Equation For Differential Equations.
Slope Fields.
Converging and Diverging Sequences Using Limits - Practice Problems.
Monotonic Sequences and Bounded Sequences - Calculus 2.
Absolute Value Theorem For Sequences.
Squeeze Theorem For Sequences.
Geometric Series and Geometric Sequences - Basic Introduction.
Geometric Series and Geometric Sequences - Basic Introduction - Membership.
How To Find The Sum of a Geometric Series.
Finding The Sum of a Finite Geometric Series.
Finding The Sum of an Infinite Geometric Series.
Convergence and Divergence - Introduction to Series.
Convergence and Divergence - Introduction to Series - Membership.
Divergence Test For Series - Calculus 2.
Harmonic Series.
Telescoping Series.
Calculus 2 - Integral Test For Convergence and Divergence of Series.
Remainder Estimate For The Integral Test.
P-series.
Direct Comparison Test - Calculus 2.
Limit Comparison Test.
Alternating Series Test.
Alternate Series Estimation Theorem.
Absolute Convergence, Conditional Convergence, and Divergence.
Ratio Test.
Root Test.
Calculus 2 - Geometric Series, P-Series, Ratio Test, Root Test, Alternating Series, Integral Test.
Taylor Polynomials & Maclaurin Polynomials With Approximations.
Taylor's Remainder Theorem.
Power Series - Finding The Radius & Interval of Convergence - Calculus 2.
Power Series - Differentiation and Integration - Calculus 2.
Power Series - Representation of Functions - Calculus 2.
Finding Power Series By Differentiation.
Power Series Representation By Integration - Calculus 2.
Power Series Representation With Natural Logarithms - Calculus 2.
Taylor Series and Maclaurin Series - Calculus 2.
Binomial Series.
Parametric Equations Introduction, Eliminating The Paremeter t, Graphing Plane Curves, Precalculus.
Derivatives of Parametric Functions.
Tangent Lines of Parametric Curves.
Second Derivatives of Parametric Equations With Concavity.
Differentiation of Parametric Curves - Finding The Third Derivative.
Horizontal Tangent Lines and Vertical Tangent Lines of Parametric Functions.
Area of Parametric Curves.
Arc Length of Parametric Curves.
Surface Area of Revolution of Parametric Equations: X-axis & Y-axis.
Polar Coordinates Basic Introduction, Conversion to Rectangular, How to Plot Points, Negative R Valu.
Polar Equations to Rectangular Equations, Precalculus, Examples and Practice Problems.
Rectangular Equation to Polar Equations, Precalculus, Examples and Practice Problems.
Tangent Line Equations, Slope, & Derivatives In Polar Form.
Horizontal Tangent Lines & Vertical Tangent Lines In Polar Form.
Finding Area In Polar Coordinates.
Finding Area Bounded By Two Polar Curves.
Arc Length of Polar Curves.
Surface Area of Revolution of Polar Curves.
Writing Equations of Ellipses In Standard Form and Graphing Ellipses - Conic Sections.
Writing Equations of Ellipses In Standard Form and Graphing Ellipses - Conic Sections - Membership.
Eccentricity of an Ellipse.
Area of an Ellipse.
Circumference of an Ellipse.
Hyperbolas - Conic Sections.
Hyperbolas - Conic Sections - Membership.
Finding The Focus and Directrix of a Parabola - Conic Sections.
Finding The Focus and Directrix of a Parabola - Conic Sections - Membership.
Polar Equations of Conic Sections In Polar Coordinates.
Calculus 2 Final Exam Review -.
Calculus 2 Final Exam Review Part 1 - Membership.
Calculus 2 Final Exam Review Part 2 - Membership.
Plotting Points In a Three Dimensional Coordinate System.
How To Find The Distance Between 2 Points In 3D Space.
How To Find The Equation of a Sphere, Center, & Radius Given The Endpoints of its Diameter.
Calculus 3 - Intro To Vectors.
Calculus 3 - The Dot Product.
Finding The Angle Between Two Vectors - Calculus 3.
Are The Two Vectors Parallel, Orthogonal, or Neither?.
Calculus 3 - Direction Cosines & Direction Angles of a Vector.
Calculus 3 - Vector Projections & Orthogonal Components.
Cross Product of Two Vectors Explained!.
Area of a Parallelogram Using Two Vectors & The Cross Product.
Volume of a Parallelepiped Using The Triple Scalar Product Calculus 3.
How To Find The Vector Equation of a Line and Symmetric & Parametric Equations.
How To Find The Equation of a Plane Given a Point and Perpendicular Normal Vector.
How To Find The Equation of a Plane Given Three Points.
How To Find The Point Where a Line Intersects a Plane.
How To Find The Angle Between Two Planes.
How To Find The Distance Between a Point and a Plane.
Chain Rule With Partial Derivatives - Multivariable Calculus.
Implicit Differentiation With Partial Derivatives Using The Implicit Function Theorem.
How To Find The Directional Derivative and The Gradient Vector.
Limits of Multivariable Functions - Calculus 3.
Double Integrals.
Local Extrema, Critical Points, & Saddle Points of Multivariable Functions - Calculus 3.
Absolute Maximum and Minimum Values of Multivariable Functions - Calculus 3.
Lagrange Multipliers.
Triple Integrals - Calculus 3.
Second Order Linear Differential Equations.
Method of Undetermined Coefficients - Nonhomogeneous 2nd Order Differential Equations.
Variation of Parameters - Nonhomogeneous Second Order Differential Equations.
Math - Addition, Multiplication, Exponents, & Tetration.
Simplifying a Super Complex Fraction!.
Greek Alphabet Symbols List - College Math, Chemistry, & Physics.
How To Save Money and Time as a College Student.
Introduction to Statistics.
Physics With Calculus - Basic Introduction.
ACT Math Test Prep.
Organic Chemistry Tutor - Youtube Channel Membership.
Calculus Final Exam - 3 Useful Tips #Shorts.

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