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#Calculus problem how to#
#Calculus problem series#

Finding the limits of any graph requires you to look at what is happening at the microscopic level, dissecting the graph into infinitely small pieces and examining what happens as points on a graph get infinitesimally close together. In the world of calculus however, this is far from true. On the surface, these concepts appear to be at odds with one another. In Calculus 1, Business Calculus, or any of your AP Calculus classes, you will also take a closer look at the concepts of limits and infinity.

parabolas), learn to use and apply the different derivative rules, and identify rates of change in velocity and acceleration.

#Calculus problem how to#

Here you will learn how to calculate the slope of curves (e.g. If you're just getting started with basic calculus or intro to calculus, differential calculus is the first order of business.

#Calculus problem series#

Research has now confirmed that Madhava and Nilakantha were responsible for discovering infinite series in calculus, two centuries before Sir Isaac Newton and Gottfried Newbitz were born. Gottfried Newbitz work was more focused on the rate of change in graphs alongside developing the mathematical notation for calculus that we use today. Sir Isaac Newton was responsible for establishing the relationship between the two key topics in calculus: Differentials and Integrals. Recent findings in the past decade however, suggest that this honour must now be split 4-fold to include Madhava and Nilakantha on the throne. As a joint discovery in Mathematics, Sir Isaac Newton and Gottfried Newbitz are credited as the Fathers of calculus for their early work in developing the fundamental concepts, theories and calculus rules we study today.

9.4Arc length and surface area of parametric equationsĬalculus math is the branch of mathematics involved with studying the rate of change, motion, and limits.

9.2Tangent and concavity of parametric equations.

9.1Defining curves with parametric equations.

9Parametric Equations and Polar Coordinates.

8.19Approximating functions with Taylor polynomials and error bounds.

8.17Functions expressed as power series.

8.16Radius and interval of convergence with power series.

8.6Convergence & divergence of telescoping series.

8.5Convergence & divergence of geometric series.

8.4Convergence and divergence of normal infinite series.

7.3Modeling with differential equations.

7.1Order and solutions to differential equations.

6.4Volumes of solids of revolution - Shell method.

6.3Volumes of solids of revolution - Disc method.

6.2Volumes of solids with known cross-sections.

5.5Integration of rational functions by partial fractions.

5.3Integration using trigonometric identities.

3.14Marginal profit, and maximizing profit & average profit.

3.13Marginal cost, and minimizing cost & average cost.

3.12Marginal revenue, and maximizing revenue & average revenue.

3.2Critical number & maximum and minimum values.

2.12Derivative of logarithmic functions.

2.11Derivative of inverse trigonometric functions.

2.6Derivative of trigonometric functions.

1.7Limits at infinity - horizontal asymptotes.

1.6Infinite limits - vertical asymptotes.

1.5Finding limits algebraically - when direct substitution is not possible.

1.4Finding limits algebraically - direct substitution.