A lot of students opt to study mathematics but are unaware of the subjects that they would have to deal with in their courses. Calculus is very crucial to mathematics. It is something that students cannot skip once they have chosen to become a mathematics specialist. According to experts, that are a part of various companies providing** ****calculus assignment help**, students need to have a good grasp of these topics if they want to secure the highest grades.

# Significant topics and subtopics in Calculus

## Limits

Limit of a function means the estimation of the value that a function approaches as it gets closer and closer to a certain point.

The topics under limits that are essential are as follows:

Estimating limits from graphs

Continuity over an interval

Estimating limits from tables

Properties of limits

Squeeze theorem

Types of discontinuities

Continuity at a point

Removing discontinuities

Limits by direct substitution

Limits using algebraic manipulation

Limits at infinity

Immediate value theorem

## Derivatives

The concept of derivatives is similar to the concept of slope but here you may find the rate of increase or slope of curves.

**Topics under derivatives that are significant are as follows: **

Average versus the instantaneous rate of change

Secant lines

Estimating derivatives

Differentiability

Power rule

Derivative rules

Combining the power rule with other derivative rules

Product rule

Quotient rule

Chain rule

Implicit differentiation

Differentiating inverse functions

Derivatives of inverse trigonometric functions

Strategy in differentiating functions

Differentiation using multiple rules

Second derivatives

Disguised derivatives

Logarithmic differentiation

**Applications of derivatives that include:**

Straight-line motion

Non-motion applications of derivatives

Approximation with local linearity

L’Hospital’s rule

**Integrals**

It is basically the area underneath a function when it has been graphed.

**Topics under integrals that are important are as follows:**

Approximation with Riemann sums

The fundamental theorem of calculus and definite integrals

Reverse power rule

Indefinite integrals of common functions

Summation notation

Riemann sums in summation notation

Defining integrals with Riemann sums

The fundamental theorem of calculus and accumulation functions

Interpreting the behaviour of accumulation functions

Properties of definite integrals

Definite integrals of common functions

Integrating with u-substitution

Integrating using long division and completing the square

Integration using trigonometric identities

**Applications of integrals that include:**

The average value of a function

Straight-line motion

Non-motion applications of integrals

Volume: Rectangles and squares cross-sections

Volume: Semicircles and triangles cross-sections

Area: the vertical area between curves

Area: the horizontal area between curves

Area: curves that intersect at more than two points

Volume: disc method (revolving around x- and y-axes)

Volume: disc method(revolving around other axes)

Volume: washer method (revolving around x- and y- axes)

Volume: washer method (revolving around other axes)

If you want to seek assistance for any topic of calculus, you may consult the experts of My Assignment Services. It is one of the best platforms providing assignment help in Australia. Here, you would be provided excellent support so that you do not commit mistakes in your calculus assignment. Moreover, you would not have to worry about deadlines and would be able to submit your assignment on time.