About Recitation Introduction for MIT 18.01SC, 18.02SC

Differentiating an Integral with a Variable Upper Limit Using the Chain Rule in Calculus Related Rates for a Sphere's Volume and Surface Area in Calculus Finding Taylor Series Using Known Series and Substitution in Single-Variable Calculus Using Newton's Method to Approximate a Root in Single-Variable Calculus Finding the Closest Point to the Origin on a Curve in Calculus Integrating Products of Sine and Cosine in Calculus Choosing Substitution vs Integration by Parts in Calculus Evaluating Definite Integrals of tan(x) Using the Fundamental Theorem of Calculus Computing the Tangent Line to a Polynomial Curve in Calculus Quadratic Approximation via the Second Fundamental Theorem of Calculus Arc Length of a Parametric Curve in Calculus Related Rates for a Sliding Ladder in Calculus Radius of Convergence via the Ratio Test in Calculus Solving a Second-Order Differential Equation with Initial Conditions in Calculus Continuity and Differentiability Conditions for a Piecewise Function in Calculus Deriving the Coefficients of Simpson's Rule in Calculus Partial Fractions and Trigonometric Substitution for Integration in Single-Variable Calculus Integral Test for Series Convergence in Calculus Converting Polar Equations to Cartesian Coordinates in Calculus Limit of an Infinite Series in Single-Variable Calculus Chain Rule for Compositions of Three Functions in Calculus Average Value Theorem for Integrals Integration by Completing the Square in Calculus Using the Comparison Test to Determine Convergence of Infinite Series in Calculus Implicit Differentiation: Tangent Slopes on Implicit Curves Trapezoid Rule and Simpson's Rule for Numerical Integration in Calculus Center of Mass Calculation for Continuous Distributions Quadratic Approximation of a Function in Single-Variable Calculus Volume of Revolution Using the Disk Method in Calculus Indeterminate Forms and L'Hopital's Rule in Calculus Sketching a Curve Using First and Second Derivatives in Calculus Antiderivatives of a Function with a Discontinuity in Single-Variable Calculus Computing Antiderivatives of Power Functions in Calculus Solving Separable Differential Equations in Calculus Volume of Revolution Using Trig Integrals in Calculus Computing the Volume of a Paraboloid Using Riemann Sums in Calculus Sketching the Graph of a Derivative from the Graph of a Function in Calculus Volume of Revolution Using the Shell Method in Calculus Taylor Series of a Polynomial in Calculus Area Between the Graphs of Sine and Cosine in Single-Variable Calculus Integration by Substitution in Real Analysis Integral as Accumulated Summation Limit A Solid With Finite Volume and Infinite Cross Section | MIT 18.01SC Single Variable Calculus Graph and Derivative of the Arccosine Function in Calculus Partial Fraction Decomposition for Integration in Calculus Graphing the Polar Curve r = 1 + cos(θ/2) in Calculus Manipulating Power Series to Identify Functions in Single-Variable Calculus Logarithmic Properties including Change of Base Rules Hyperbolic Trigonometric Functions in Calculus Failure of L'Hospital's Rule in Calculus Ratio Test for Series Convergence in Calculus Calculus Fundamentals (Derivatives) Integration by Substitution, Parts, and Partial Fractions in Calculus L'Hôpital's Rule for Indeterminate Form Limits Quadratic Approximation of a Product of Two Functions in Single-Variable Calculus Computing an Area Using Hyperbolic Trigonometric Substitution in Calculus Minimizing the Area of a Triangle Formed by a Line Through a Fixed Point in Calculus Graphing the Arctangent Function in Calculus Integral of tan^4(θ) in Calculus Using the Integral Test to Estimate Partial Sums of a Series in Calculus Finding the Taylor Series for sec(x) Using Relationships to Cosine in Single-Variable Calculus Computing the Surface Area of a Torus of Revolution in Calculus Constant Multiple Rule for Derivatives in Calculus Finding Where the Derivative of Sine and Cosine Combinations Equals Zero in Calculus Reduction Formula for Integrating sin^n(x) in Calculus Determining Convergence and Divergence of Improper Integrals in Single-Variable Calculus Derivatives of Exponential and Logarithmic Functions in Single-Variable Calculus Integrating Power Series in Calculus Summation Notation for Finite Series in Mathematics Implicit Differentiation and Linear Approximation in Calculus Using the Mean Value Theorem to Prove Injectivity from a Nonzero Derivative Evaluating the Integral of sec^3(u) Using Integration by Parts in Calculus Minimizing Cylinder Surface Area for a Fixed Volume in Calculus Applying the Second Fundamental Theorem of Calculus to Find f(x) Finding the Area Between a Cubic Curve and a Line Using Definite Integrals in Calculus Linear Approximation Using Differentials in Calculus Setting Up an Integral for Diffusion of a Chemical Using Shells in Calculus Product Rule for Three Functions in Single-Variable Calculus Choosing u and v' for Integration by Parts in Calculus Quotient Rule for Derivative of tan(x) in Calculus Computing Differentials in Single-Variable Calculus