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Home » Math Homework Help » Calculus Homework Help
Calculus Homework Help
Calculus means a computational method or a growth. Calculus is a branch of mathematics focused on limits, functions, derivatives, integral and infinite series. Calculus is basically just very advanced algebra and geometry. In one sense, it’s not even a new subject — it takes the ordinary rules of algebra and geometry and tweaks them so that they can be used on more complicated problems. Calculus originates from describing the basic physical properties of our universe, such as the motion of planets, and molecules. The branch of mathematics called Calculus approaches the paths of objects in motion as curves, or functions, and then determines the value of these functions to calculate their rate of change, area, or volume. In the 18th century, Sir Isaac Newton and Gottfried Leibniz simultaneously, yet separately, described calculus to help solve problems in physics. The two divisions of calculus, differential and integral, can solve problems like the velocity of a moving object at a certain moment in time, or the surface area of a complex object like a lampshade. This subject constitutes a major part of modern mathematics education. Calculus is the study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations.

All of calculus relies on the fundamental principle that you can always use approximations of increasing accuracy to find the exact answer. For instance, you can approximate a curve by a series of straight lines: the shorter the lines, the closer they are to resembling a curve. You can also approximate a spherical solid by a series of cubes that get smaller and smaller with each iteration, which fits inside the sphere. Using calculus, you can determine that the approximations tend toward the precise end result, called the limit, until you have accurately described and reproduced the curve, surface, or solid.

Some of its main topics are:

1. Limit and continuity
2. Differentiation
3. Successive differentiation
4. Tangents and normals
5. Maxima and minima
6. Mean value theorems
7. Intermediate forms
8. Asymptotes
9. Curvature
10. Partial differentiation
11. Singular points and curve tracing
12. Envelopes
13. Methods of integration
14. Integration of rational and irrational functions
15. Integration of trigonometric functions
16. Definite integrals
17. Geometrical applications of the definite integral
18. Centre of gravity and moment of inertia
19. Differential equations of first order
20. Linear differential equations

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Natural Logarithms First Principles Differentiation Asymptotes Tangents At The Origin Radius Vector, Tangent Angle Intersection Angle Two Curves Arc Length Derivative Area Bounded By Closed Curve Area Under Cartesian Curve Area Under Polar Curve Algebraic Curves Asymptotes Polar Curve Asymptotes Cartesian Curve Tracing Cauchy Mean Value Theorem Centre Of Curvature Centre Of Gravity Centre Of Gravity Of Plane Area Centre Of Gravity-Volume Chord Of Curvature Clairauts Equation Concave Curve Concavity Test Continuity Of A Function Elementary Functions Continuity Curvature Definite Integral Definite Integrals Derivability And Continuity Derivative Differentiation Implicit Function Derivative Parametric Derivative Transformation Derivatives Differential Equation Differential First Order Degree Homogeneous Reducible Equation Equations Solvable For P Equations Solvable For X Equations Solvable For Y Eulers Homogeneous Function Exact Differential Equation Exponential Function Curves Family Envelope Extreme Values Test Differential Equation Formation Chain Rule Function Derivative Function Of Two Variables Integral Fundamental Theorem Higher Order Derivatives Homogeneous Equations Homogeneous Functions Homogeneous Linear Differential Hyperbolic Functions Indefinite Integral Infinite Limits Inflexion Point Integrals With Infinite Limits Partial Fraction Integration Integration By Parts Integration By Substitution Trigonometric Function Integration Intermediate Forms Intersection Of A Curve Intervals Intrinsic Equation Function Inverse Derivative Inverse Trigonometry Function Irrational Functions L Hospitals Rule Lagrange Mean Value Theorem Left, Right Hand Derivatives Left, Right Hand Limits Cartesian Curve Arc Length Parametric Curve Arc Length Function-Limit, Continuity Limit Of A Function Linear Differential Equations Oblique Asymptotes Linear Constant Coefficients Maclaurin Mean Value Theorem Maxima And Minima Inertia Moment Multiple Points Curves One Parametric Family Parametric Curve Tracing Partial Derivatives Particular Integrals Pedal Equation Point Neighbourhood In Plane Polar Co-ordinates Polar Curve Tracing Double Points Position, Nature Cartesian Curvature Radius Rational Functions Real Number Modulus Real Numbers Rigorous Second Derivatives Rolle-Continuous Function Extreme Value Second Derivative Second Order Partial Derivative Subtangent And Subnormal Summation Of Series Standard Integrals Table Tangent Equation Taylors Mean Value The Operator D Composite Function Derivative Function Total Differentiation Trigonometric Functions Uniform Continuity Revolution Solid Volume
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