Skip to main content

Topic outline

  • Limits & Continuity

    • ZA Solving limits with substitution Page
      Restricted Not available unless: Your Email address is not empty
    • How to solve LIMITS BY FACTORING Page
      Restricted Not available unless: Your Email address is not empty
    • CONJUGATE METHOD for solving limits Page
      Restricted Not available unless: Your Email address is not empty
    • Use limit laws to evaluate limits of combination functions Page
      Restricted Not available unless: Your Email address is not empty
    • How to find limits on CRAZY GRAPHS Page
      Restricted Not available unless: Your Email address is not empty
    • Limits at infinity Page
      Restricted Not available unless: Your Email address is not empty
    • Infinite limits Page
      Restricted Not available unless: Your Email address is not empty
    • Limits of trig functions: Everything you need to know! Page
      Restricted Not available unless: Your Email address is not empty
    • How to find the ONE-SIDED LIMITS of a function Page
      Restricted Not available unless: Your Email address is not empty
    • How to prove that the limit does not exist Page
      Restricted Not available unless: Your Email address is not empty
    • The precise definition of the limit EXPLAINED! Page
      Restricted Not available unless: Your Email address is not empty
    • Finding delta from a graph and the epsilon-delta definition of the limit Page
      Restricted Not available unless: Your Email address is not empty
    • How to find the limit using SQUEEZE THEOREM Page
      Restricted Not available unless: Your Email address is not empty
    • Limit of an inequality, with squeeze theorem Page
      Restricted Not available unless: Your Department is not empty
    • Finding the domain by investigating continuity Page
      Restricted Not available unless: Your Email address is not empty
    • How to make a function continuous (for a piecewise function) Page
      Restricted Not available unless: Your Email address is not empty
    • How to find REMOVABLE DISCONTINUITIES Page
      Restricted Not available unless: Your Email address is not empty
    • How to use the Intermediate Value Theorem Page
      Restricted Not available unless: Your Email address is not empty
    • Intermediate value theorem to prove a root in an interval Page
      Restricted Not available unless: Your Email address is not empty
    • Prove the equation has at least one real root Page
      Restricted Not available unless: Your Email address is not empty
    • Limits of composite functions - How to find them? Page
      Restricted Not available unless: Your Email address is not empty
    • Jump discontinuities - What are they? Page
      Restricted Not available unless: Your Email address is not empty
  • Derivatives

    • How to calculate the difference quotient Page
      Restricted Not available unless: Your Email address is not empty
    • DEFINITION OF THE DERIVATIVE to find the derivative Page
      Restricted Not available unless: Your Email address is not empty
    • Power rule for derivatives Page
      Restricted Not available unless: Your Email address is not empty
    • PRODUCT RULE for derivatives Page
      Restricted Not available unless: Your Email address is not empty
    • Product rule - 3+ functions Page
      Restricted Not available unless: Your Email address is not empty
    • Quotient rule Page
      Restricted Not available unless: Your Email address is not empty
    • Reciprocal rule Page
      Restricted Not available unless: Your Email address is not empty
    • Chain rule combined with power rule Page
      Restricted Not available unless: Your Email address is not empty
    • Chain rule for derivatives, with product rule Page
      Restricted Not available unless: Your Email address is not empty
    • Chain rule for derivatives, with quotient rule Page
      Restricted Not available unless: Your Email address is not empty
    • Chain rule for derivatives, with trig functions Page
      Restricted Not available unless: Your Email address is not empty
    • Derivatives of TRIG FUNCTIONS Page
      Restricted Not available unless: Your Email address is not empty
    • Derivative of cot^4(x/2) Page
      Restricted Not available unless: Your Email address is not empty
    • Derivatives of inverse trig functions - arcsin Page
      Restricted Not available unless: Your Email address is not empty
    • Derivatives of inverse trig functions - arccot Page
      Restricted Not available unless: Your Email address is not empty
    • Derivatives of HYPERBOLIC functions Page
      Restricted Not available unless: Your Email address is not empty
    • Derivatives of inverse hyperbolic functions Page
      Restricted Not available unless: Your Email address is not empty
    • Implicit differentiation COMPLETELY EXPLAINED! Page
      Restricted Not available unless: Your Email address is not empty
    • Finding the derivative of a function with e^x Page
      Restricted Not available unless: Your Email address is not empty
    • Derivatives of logarithms Page
      Restricted Not available unless: Your Email address is not empty
    • How to use LOGARITHMIC DIFFERENTIATION to find the derivative Page
      Restricted Not available unless: Your Email address is not empty
    • Derivative of x^x Page
      Restricted Not available unless: Your Email address is not empty
    • EQUATION OF THE TANGENT LINE Page
      Restricted Not available unless: Your Email address is not empty
    • Value that makes two tangent lines parallel Page
      Restricted Not available unless: Your Email address is not empty
    • DIFFERENTIABILITY and horizontal and vertical tangent lines Page
      Restricted Not available unless: Your Email address is not empty
    • Equation of the normal line at a point Page
      Restricted Not available unless: Your Email address is not empty
    • Average rate of change of a function Page
      Restricted Not available unless: Your Email address is not empty
    • Finding HALF LIFE Page
      Restricted Not available unless: Your Email address is not empty
    • Continuous compounding interest Page
      Restricted Not available unless: Your Email address is not empty
  • Applications of Derivatives

    • ESTIMATE THE ROOT with linear approximation Page
      Restricted Not available unless: Your Email address is not empty
    • Linearization of a function at a point Page
      Restricted Not available unless: Your Email address is not empty
    • Optimization - Calculus Page
      Restricted Not available unless: Your Email address is not empty
    • How to find CRITICAL POINTS Page
      Restricted Not available unless: Your Email address is not empty
    • Where is the function INCREASING AND DECREASING? Page
      Restricted Not available unless: Your Email address is not empty
    • INFLECTION POINTS and CONCAVITY Page
      Restricted Not available unless: Your Email address is not empty
    • FIRST DERIVATIVE TEST to find the max and min Page
      Restricted Not available unless: Your Email address is not empty
    • How to use the SECOND DERIVATIVE TEST Page
      Restricted Not available unless: Your Email address is not empty
    • How to find VERTICAL ASYMPTOTES!! Page
      Restricted Not available unless: Your Email address is not empty
    • How to find HORIZONTAL ASYMPTOTES Page
      Restricted Not available unless: Your Email address is not empty
    • How to find SLANT ASYMPTOTES Page
      Restricted Not available unless: Your Email address is not empty
    • All about GRAPH SKETCHING!! Page
      Restricted Not available unless: Your Email address is not empty
    • Maxima and minima on a CLOSED interval Page
      Restricted Not available unless: Your Email address is not empty
    • Dimensions that maximize the area of the rectangle Page
      Restricted Not available unless: Your Email address is not empty
    • OPTIMIZATION: Dimensions that maximize the volume of a cylinder Page
      Restricted Not available unless: Your Email address is not empty
    • OPTIMIZATION: Dimensions of a rectangle that minimize its perimeter Page
      Restricted Not available unless: Your Email address is not empty
    • OPTIMIZATION: Dimensions that maximize the volume of a box Page
      Restricted Not available unless: Your Email address is not empty
    • Dimensions of the rectangle with largest area inscribed in an equilateral triangle Page
      Restricted Not available unless: Your Email address is not empty
    • Largest area of a rectangle inscribed in a semicircle Page
      Restricted Not available unless: Your Email address is not empty
    • Points on the cone closest to a point Page
      Restricted Not available unless: Your Email address is not empty
    • Max volume of a rectangular box inscribed in a sphere Page
      Restricted Not available unless: Your Email address is not empty
    • Maximum volume of a cone shaped cup Page
      Restricted Not available unless: Your Email address is not empty
    • Largest possible volume of a cylinder inscribed in a sphere Page
      Restricted Not available unless: Your Email address is not empty
    • Dimensions that minimize the surface area of a cylinder Page
      Restricted Not available unless: Your Email address is not empty
    • OPTIMIZATION: Dimensions that minimize page size with a given printed area
      Restricted Not available unless: Your Email address is not empty
    • OPTIMIZATION: Dimensions that minimize the surface area of an open top box Page
      Restricted Not available unless: Your Email address is not empty
    • OPEN-TOP BOX?!! How to find the smallest possible surface area Page
      Restricted Not available unless: Your Email address is not empty
    • OPTIMIZATION: Point on the line closest to another point Page
      Restricted Not available unless: Your Email address is not empty
    • Minimizing the product of two real numbers Page
      Restricted Not available unless: Your Email address is not empty
    • Finding numbers with the smallest sum of squares Page
      Restricted Not available unless: Your Email address is not empty
    • OPTIMIZATION: Production level, sale price that maximize profit Page
      Restricted Not available unless: Your Email address is not empty
    • OPTIMIZATION: Sales level that maximizes revenue Page
      Restricted Not available unless: Your Email address is not empty
    • OPTIMIZATION: Time when velocity is minimum Page
      Restricted Not available unless: Your Email address is not empty
    • Related Rates Page
      Restricted Not available unless: Your Email address is not empty
    • RELATED RATES: Radius of the balloon Page
      Restricted Not available unless: Your Email address is not empty
    • RELATED RATES: Ladder sliding down the wall Page
      Restricted Not available unless: Your Email address is not empty
    • RELATED RATES: Distance between the person and the plane Page
      Restricted Not available unless: Your Email address is not empty
    • RELATED RATES: Water level in the tank Page
      Restricted Not available unless: Your Email address is not empty
    • RELATED RATES: Price of the product Page
      Restricted Not available unless: Your Email address is not empty
    • MEAN VALUE THEOREM (MVT) for derivatives Page
      Restricted Not available unless: Your Email address is not empty
    • How to use ROLLE'S THEOREM Page
      Restricted Not available unless: Your Email address is not empty
    • How to use NEWTON'S METHOD Page
      Restricted Not available unless: Your Email address is not empty
    • How to use L'HOSPITAL'S RULE Page
      Restricted Not available unless: Your Email address is not empty
    • POSITION FUNCTION Page
      Restricted Not available unless: Your Email address is not empty
    • All about a PARTICLE'S POSITION function Page
      Restricted Not available unless: Your Email address is not empty
    • Instantaneous velocity Page
      Restricted Not available unless: Your Email address is not empty
    • HOW HIGH CAN YOU THROW THE BALL?!! How fast is it going when it hits the ground? Page
      Restricted Not available unless: Your Email address is not empty
    • Dropping a coin from the roof (VERTICAL MOTION!) Page
      Restricted Not available unless: Your Email address is not empty
    • How to find MARGINAL COST, REVENUE AND PROFIT Page
      Restricted Not available unless: Your Email address is not empty
  • Integrals

    • Summation Notation - Finding the Sum Page
      Restricted Not available unless: Your Email address is not empty
    • How to find a Riemann sum using LEFT ENDPOINTS Page
      Restricted Not available unless: Your Email address is not empty
    • Riemann sums with right endpoints Page
      Restricted Not available unless: Your Email address is not empty
    • THE MOST ACCURATE WAY TO DO A RIEMANN SUM Page
      Restricted Not available unless: Your Email address is not empty
    • Close only counts in horseshoes, hand grenades, and Riemann sums Page
      Restricted Not available unless: Your Email address is not empty
    • Trapezoidal Rule Page
      Restricted Not available unless: Your Email address is not empty
    • Simpson's Approximation Page
      Restricted Not available unless: Your Email address is not empty
    • Definite Integral Page
      Restricted Not available unless: Your Email address is not empty
    • ARE YOU FINDING THE RIGHT AREA?!! Area under vs. area enclosed by a graph Page
      Restricted Not available unless: Your Email address is not empty
    • Definite integral of an even function Page
      Restricted Not available unless: Your Email address is not empty
    • Definite integral of an odd function Page
      Restricted Not available unless: Your Email address is not empty
    • PART 1 OF THE FUNDAMENTAL THEOREM OF CALCULUS! Page
      Restricted Not available unless: Your Email address is not empty
    • PART 2 OF THE FUNDAMENTAL THEOREM OF CALCULUS! Page
      Restricted Not available unless: Your Email address is not empty
    • Net change theorem Page
      Restricted Not available unless: Your Email address is not empty
    • Indefinite Integrals Page
      Restricted Not available unless: Your Email address is not empty
    • Properties of integrals Page
      Restricted Not available unless: Your Email address is not empty
    • Find f(x) given f''(x), its second derivative Page
      Restricted Not available unless: Your Email address is not empty
    • Find f(x) given f'''(x), its third derivative Page
      Restricted Not available unless: Your Email address is not empty
    • Initial Value Problem Page
      Restricted Not available unless: Your Email address is not empty
    • Find f given f'' and initial conditions Page
      Restricted Not available unless: Your Email address is not empty
    • Solving Integrals Page
      Restricted Not available unless: Your Email address is not empty
    • U-Substitution Page
      Restricted Not available unless: Your Email address is not empty
    • U-Substitution in Definite Integrals Page
      Restricted Not available unless: Your Email address is not empty
    • Integration by Parts Page
      Restricted Not available unless: Your Email address is not empty
    • Integration by parts two times Page
      Restricted Not available unless: Your Email address is not empty
    • Integration by parts three times Page
      Restricted Not available unless: Your Email address is not empty
    • U-substitution with integration by parts Page
      Restricted Not available unless: Your Email address is not empty
    • Integration by parts to prove the reduction formula Page
      Restricted Not available unless: Your Email address is not empty
    • A TOTALLY DIFFERENT WAY to do integration by parts! Page
      Restricted Not available unless: Your Email address is not empty
    • Partial fractions, distinct linear factors Page
      Restricted Not available unless: Your Email address is not empty
    • Partial fractions, distinct linear factors, example 2, part 1 of 2 Page
      Restricted Not available unless: Your Email address is not empty
    • Partial fractions, distinct linear factors, example 2, part 2 of 2 Page
      Restricted Not available unless: Your Email address is not empty
    • Partial fractions, distinct linear factors, example 3 Page
      Restricted Not available unless: Your Email address is not empty
    • Partial fractions, repeated linear factors Page
      Restricted Not available unless: Your Email address is not empty
    • Using partial fractions with DISTINCT QUADRATIC FACTORS Page
      Restricted Not available unless: Your Email address is not empty
    • Partial fractions, distinct quadratic factors, example 2 Page
      Restricted Not available unless: Your Email address is not empty
    • Partial fractions, distinct quadratic factors, example 3 Page
      Restricted Not available unless: Your Email address is not empty
    • Partial fractions, repeated quadratic factors Page
      Restricted Not available unless: Your Email address is not empty
    • Partial fractions, rationalizing substitution Page
      Restricted Not available unless: Your Email address is not empty
    • Integrating with partial fractions: how to factor difficult denominators Page
      Restricted Not available unless: Your Email address is not empty
    • Partial fractions, two ways to find the constants Page
      Restricted Not available unless: Your Email address is not empty
    • Integrating a trig function using u-substitution! Page
      Restricted Not available unless: Your Email address is not empty
    • Trigonometric integrals - sin^mcos^n, odd m Page
      Restricted Not available unless: Your Email address is not empty
    • Trigonometric integrals - sin^mcos^n, odd n Page
      Restricted Not available unless: Your Email address is not empty
    • Trigonometric integrals - sin^mcos^n, m and n even Page
      Restricted Not available unless: Your Email address is not empty
    • Integrals of trigonometric functions, tan^msec^n, odd m Page
      Restricted Not available unless: Your Email address is not empty
    • Integrals of trigonometric functions, tan^msec^n, even n Page
      Restricted Not available unless: Your Email address is not empty
    • Integrals of trigonometric functions, sin(mx)cos(nx) Page
      Restricted Not available unless: Your Email address is not empty
    • Integrals of trigonometric functions, sin(mx)sin(nx) Page
      Restricted Not available unless: Your Email address is not empty
    • Integrals of trigonometric functions, cos(mx)cos(nx) Page
      Restricted Not available unless: Your Email address is not empty
    • Hyperbolic integrals... pretty much just like trig integrals Page
      Restricted Not available unless: Your Email address is not empty
    • Integrals of Inverse Hyperbolic Functions Page
      Restricted Not available unless: Your Email address is not empty
    • How to solve EVERY trigonometric substitution problem ever! Page
      Restricted Not available unless: Your Email address is not empty
    • Trigonometric substitution with secant Page
      Restricted Not available unless: Your Email address is not empty
    • Trigonometric substitution with sine Page
      Restricted Not available unless: Your Email address is not empty
    • Trigonometric substitution with tangent Page
      Restricted Not available unless: Your Email address is not empty
    • Integral of a quadratic function Page
      Restricted Not available unless: Your Email address is not empty
    • Improper integrals, case 2 Page
      Restricted Not available unless: Your Email address is not empty
    • Improper integrals, case 3 Page
      Restricted Not available unless: Your Email address is not empty
    • Improper integrals, case 5 Page
      Restricted Not available unless: Your Email address is not empty
    • COMPARISON THEOREM WILL FINALLY MAKE SENSE! Page
      Restricted Not available unless: Your Email address is not empty
    • Integrals using reduction formulas Page
      Restricted Not available unless: Your Email address is not empty
    • How to use inverse hyperbolic functions to evaluate integrals Page
      Restricted Not available unless: Your Email address is not empty
    • Partial fractions are SPECIAL! Page
      Restricted Not available unless: Your Email address is not empty
    • PARTIAL FRACTIONS example with distinct linear factors Page
      Restricted Not available unless: Your Email address is not empty
    • Trig substitution - How to solve? Page
      Restricted Not available unless: Your Email address is not empty
  • Applications of Integration

    • Average Value of a Function Example 1 Page
      Restricted Not available unless: Your Email address is not empty
    • Area between curves - dx Page
      Restricted Not available unless: Your Email address is not empty
    • Area between curves - dy Page
      Restricted Not available unless: Your Email address is not empty
    • Area between curves - sketching Page
      Restricted Not available unless: Your Email address is not empty
    • Arc Length Page
      Restricted Not available unless: Your Email address is not empty
    • Arc length x=g(y) Page
      Restricted Not available unless: Your Email address is not empty
    • Arc length - simpson's rule Page
      Restricted Not available unless: Your Email address is not empty
    • Surface Area of Revolution Page
      Restricted Not available unless: Your Email address is not empty
    • Surface area of revolution - simpson's rule Page
      Restricted Not available unless: Your Email address is not empty
    • Surface of Revolution Page
      Restricted Not available unless: Your Email address is not empty
    • Volume of rotation: disk method about the y-axis or x-axis Page
      Restricted Not available unless: Your Email address is not empty
    • Volume of rotation: disk method about the y-axis or x-axis Page
      Restricted Not available unless: Your Email address is not empty
    • Volume of rotation: disk method about the x-axis or y-axis Page
      Restricted Not available unless: Your Email address is not empty
    • Volume of rotation: washer method about the x-axis or y-axis Page
      Restricted Not available unless: Your Email address is not empty
    • Volume of rotation: washer method about y-axis or x-axis Page
      Restricted Not available unless: Your Email address is not empty
    • Volume of rotation: washer method about x-axis or y-axis Page
      Restricted Not available unless: Your Email address is not empty
    • Volume of rotation: cylindrical shells about the y-axis or x-axis Page
      Restricted Not available unless: Your Email address is not empty
    • Volume of rotation: cylindrical shells about the x-axis or y-axis Page
      Restricted Not available unless: Your Email address is not empty
    • Mean value theorem for integrals Page
      Restricted Not available unless: Your Email address is not empty
    • Work done using a rope to lift a weight Page
      Restricted Not available unless: Your Email address is not empty
    • Work Done on Elastic Springs Page
      Restricted Not available unless: Your Email address is not empty
    • Work Done by a Variable Force Page
      Restricted Not available unless: Your Email address is not empty
    • Moments of the system Page
      Restricted Not available unless: Your Email address is not empty
    • Moments of the system, x-axis Page
      Restricted Not available unless: Your Email address is not empty
    • Center of mass of the system Page
      Restricted Not available unless: Your Email address is not empty
    • Center of mass of the system, x-axis Page
      Restricted Not available unless: Your Email address is not empty
    • Hydrostatic pressure Page
      Restricted Not available unless: Your Email address is not empty
    • Hydrostatic force Page
      Restricted Not available unless: Your Email address is not empty
    • Vertical Motion (integration) Page
      Restricted Not available unless: Your Email address is not empty
    • Rectilinear Motion Page
      Restricted Not available unless: Your Email address is not empty
    • Centroids of Plane Regions Page
      Restricted Not available unless: Your Email address is not empty
    • Centroid of the plane - simpson's rule Page
      Restricted Not available unless: Your Email address is not empty
    • Area of the triangle with the given vertices Page
      Restricted Not available unless: Your Email address is not empty
    • Present and Future Value Page
      Restricted Not available unless: Your Email address is not empty
    • Present and Future Value Example 2 Page
      Restricted Not available unless: Your Email address is not empty
    • Present and Future Value Example 3 Page
      Restricted Not available unless: Your Email address is not empty
    • Present and Future Value Example 4 Page
      Restricted Not available unless: Your Email address is not empty
    • Present and Future Value Example 5 Page
      Restricted Not available unless: Your Email address is not empty
    • Consumer and Producer Surplus Page
      Restricted Not available unless: Your Email address is not empty
    • Probability density functions Page
      Restricted Not available unless: Your Email address is not empty
    • Cardiac output Page
      Restricted Not available unless: Your Email address is not empty
    • Cardiac output - simpson's rule Page
      Restricted Not available unless: Your Email address is not empty
    • Poiseuille's law Page
      Restricted Not available unless: Your Email address is not empty
    • Theorem of Pappus Page
      Restricted Not available unless: Your Email address is not empty
    • Present value of a single deposit, compounded continuously - How do you find it? Page
      Restricted Not available unless: Your Email address is not empty