Mathematics I: Differential Calculus & Coordinate Geometry

Introduction [Azmir]

Limits & Continuity [Azmir]

Computing Limits [Azmir]

Introduction, Limits and Continuity [Azmir]

Indeterminate Forms and L'Hopital's Rule [Azmir]

Short Review of PreCalculus [BUX]

Limit Intro [BUX]

Limits at Infinity and the Idea of Asymptotes [BUX]

Vertical and Horizontal Asymptotes [BUX]

Discontinuity at Vertical Asymptotes [BUX]

Unbounded Limits [BUX]

Finite Limits [BUX]

Squeeze Theorem - 01 [BUX]

Squeeze Theorem - 02 [BUX]

Computing Limits [BUX]

Algebraic Manipulation - 01 [BUX]

Algebraic Manipulation - 02 [BUX]

Change of Variables - 01 [BUX]

Change of Variables - 02 [BUX]

L'Hopital's Rule - 01 [BUX]

L'Hopital's Rule - 02 [BUX]

Limits [RMH]

Limits [SKY]

L'Hopital's Rule [RMH]

Limits & L'Hopital's Rule [ALS]

Limits, Continuity, Asymptotes, Squeeze Theorem & L'Hopital's Rule [MZK]

Computing Limits - Algebraic Tricks, Continuity & Change of Variables [MZK]

Limit & Continuity [Danriyal Solutions]

Limits and Continuity [Organic Chemistry Tutor]

Continuity and Differentiability [Azmir]

Review of Limits, Continuity and Differentiability [Azmir]

One-Sided Limit & Continuity [BUX]

Continuity of a Function [BUX]

The Floor Function [BUX]

First Principles, Differentiability & Squeeze Theorem [MZK]

Continuity & Differentiability [ALS]

Differentiability & Differentiation in Details [Danriyal Solutions]

Continuity and Differentiability [Organic Chemistry Tutor]

Derivatives [Azmir]

Review of Differentiation [Azmir]

Leibniz's Theorem - 01 [BUX]

Leibniz's Theorem - 02 [BUX]

Application of Differentiation - Tangent Line [BUX]

Gradients and Tangents - Example [BUX]

Techniques of Differentiation [BUX]

Chain Rule, Implicit, Successive & n-th Derivative [MZK]

Derivatives of Parametric Functions [Organic Chemistry Tutor]

Derivative of Logarithmic Functions [Organic Chemistry Tutor]

Leibniz's Theorem - Problem 1 [MKS Tutorials]

Leibniz's Theorem - Problem 2 [MKS Tutorials]

Maxima & Minima [Azmir]

Linear Approximation [Azmir]

Maxima & Minima Consultation (Part 1) [Azmir]

Maxima & Minima Consultation (Part 2) [Azmir]

Maxima and Minima - 01 [BUX]

Maxima and Minima - 02 [BUX]

Maxima and Minima - 03 [BUX]

Maxima & Minima - Example [BUX]

Linear Approximation [BUX]

Optimization Problems - Content [BUX]

Optimization Problems - Example [BUX]

Exponential Growth and Decay [BUX]

Extrema, Rolle's & Mean Value Theorems (Part 1) [BUX]

Extrema, Rolle's & Mean Value Theorems (Part 2) [BUX]

Inflection Points, Relative Maxima-Minima & Critical Points [Danriyal Solutions]

Mean Value Theorem & Rolle's Theorem [RMH]

Mean Value Theorem & Maclaurin Series [Danriyal Solutions]

Rolle's & Mean Value Theorem [REYNEP]

Rolle's & MVT - Stewart Book Example [REYNEP]

Maxima & Minima [REYNEP]

Increasing and Decreasing Functions [Organic Chemistry Tutor]

Absolute Maximum and Minimum Values - Absolute Extrema [Organic Chemistry Tutor]

Relative Extrema, First Derivative Test & Critical Points [Organic Chemistry Tutor]

Mean Value Theorem [Organic Chemistry Tutor]

Linear Approximation, Differentials & Linearization [Organic Chemistry Tutor]

Linearization Using Tangent Line Approximations [Organic Chemistry Tutor]

Rolle's Theorem [Organic Chemistry Tutor]

Concavity, Inflection Points & Derivative Tests [Organic Chemistry Tutor]

Taylor Expansion - Intro [BUX]

Taylor and Maclaurin Polynomials [BUX]

Taylor, Maclaurin & Mean Value Theorem [RMH]

Concavity, Taylor & Maclaurin Series [RMH]

Taylor, Maclaurin & Rolle's Mean Value Theorem [Danriyal Solutions]

Taylor & Maclaurin's Polynomial [REYNEP]

Taylor Series and Maclaurin Series [Organic Chemistry Tutor]

Partial Derivatives [Azmir]

Partial Derivatives - Introduction [BUX]

Partial Derivative - Example [BUX]

Chain Rule of Partial Derivatives - 01 [BUX]

Chain Rule of Partial Derivatives - 02 [BUX]

Partial Derivatives & Chain Rule [BUX]

Partial Derivatives [RMH]

Multivariable Chain Rule [RMH]

Chain Rule of Partial Derivatives [REYNEP]

Partial Derivatives [REYNEP]

Partial Derivatives - Multivariable Calculus [Organic Chemistry Tutor]

Chain Rule with Partial Derivatives [Organic Chemistry Tutor]

Maxima and Minima of Functions of Two Variables [Azmir]

Taylor Expansion of Function of Two Variables [Azmir]

Maxima and Minima of Two Variable Function [BUX]

Stationary Points for Partial Derivatives [BUX]

Taylor Expansion of Many Variable Function [BUX]

Taylor Expansion of Two Variable Function [BUX]

Multivariable Extrema & Taylor Expansion [BUX]

Multivariable Maxima & Minima [RMH]

Maxima & Minima of Several Variables [REYNEP]

Local Extrema, Critical Points & Saddle Points of Multivariable Functions [Organic Chemistry Tutor]

Absolute Maximum and Minimum Values of Multivariable Functions [Organic Chemistry Tutor]

Taylor Series Expansion for Function of Two Variables (Part I) [Gajendra Purohit]

Taylor Series Expansion for Function of Two Variables (Part II) [Gajendra Purohit]

Vector Calculus (Part 1) [Azmir]

Vector Calculus (Part 2) [Azmir]

Introduction to Vector Calculus [BUX]

Derivative of a Vector Function [BUX]

Vector Calculus - Continued [BUX]

Divergence and Curl [BUX]

Interpretation of Gradient [BUX]

Interpretation of Divergence [BUX]

Interpretation of Curl [BUX]

Vector Calculus Recap (Part 1) [BUX]

Vector Calculus Recap (Part 2) [BUX]

Directional Derivative and the Gradient Vector [Organic Chemistry Tutor]

Divergence and Curl of Vector Field - Irrotational & Solenoidal [Gajendra Purohit]

Lagrange Multipliers (Part 1) [BUX]

Lagrange Multipliers (Part 2) [BUX]

Multivariable Lagrange Multipliers [RMH]

Lagrange Multiplier [REYNEP]

Lagrange Multipliers [Organic Chemistry Tutor]

Conic Sections [Azmir]

Introduction to Conic Sections [BUX]

Example on Parabola [BUX]

Introduction to Ellipse [BUX]

Example on Ellipse [BUX]

Introduction to Hyperbola [BUX]

Example on Hyperbola [BUX]

Straight Lines [BUX]

Parabola [RMH]

Conic Sections 3D Animation [REYNEP]

Parabola [REYNEP]

Strong & Weak Conics - Second Degree Equation [REYNEP]

Sections of a Cone [Next Education]

Standard Equation of Ellipse [RMH]

Conic Sections - Circles, Ellipses, Parabolas, Hyperbolas [Organic Chemistry Tutor]

Introduction to Polar Coordinates [BUX]

Example on Coordinate Transformation [BUX]

Equation of Conic Sections in Polar Coordinates [BUX]

Examples of Polar Equations [BUX]

Introduction to Cylindrical and Spherical Coordinates [BUX]

Example on Cylindrical and Spherical Coordinates [BUX]

Spherical & Cylindrical Coordinates [RMH]

Polar Equations of Conic Sections [Organic Chemistry Tutor]

Rectangular to Cylindrical Coordinates (Hindi) [Mathematics Foundation]

Rectangular to Spherical Coordinates (Hindi) [Mathematics Foundation]

Cylindrical & Spherical Coordinates [Anne Keirstead]

Cylindrical and Spherical Conversions [Firefly Lectures]

Limits Recap for Midterm [SKY]

Midterm Review - Rolle, Taylor, Maclaurin & Successive Derivatives [SKY]

Final Exam Review [SKY]