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# CALCULUS TUTORING IN NYC ### OUR CALCULUS TUTORS FOR K-12 STUDENTS travel to YOUR home:

Brooklyn Manhattan Queens Staten Island The Bronx

### we also travel to:

Westchester New Jersey (NJ) Connecticut Long Island

## Why is calculus hard for students?

Calculus is challenging for some students because of the need for more knowledge about the nature of the subject. You likely believe that calculus marks the end of a series of mathematics courses, including algebra, geometry, trigonometry, etc. Regrettably, this is untrue.

Calculus is the “rite of passage” into many fields of the physical, engineering, and social sciences and the start of an entirely new branch of mathematics. A new set of tools and a new method of problem-solving that involves many steps must be learned. You will learn a new way of thinking and seeing mathematics and nature through calculus.

## How does calculus apply to real-life situations?

Calculus is used to improve the architecture of buildings and important infrastructures such as bridges. In Electrical Engineering, Calculus (Integration) determines the power cable length needed to connect two substations miles away.

Considering the importance of this subject for your student’s future careers, you can hire a tutor to help them understand the subject better.

Hiring a tutor to assist with homework, assessment and quiz preparation, and general skills can greatly enhance a student’s performance in the course when they need help understanding the subject as it is taught in class.

Calculus tutors may work with their students to improve their overall study and note-taking skills and their calculus knowledge and memory.

### Here are the key concepts of Calculus Tutoring: #### Limits and Continuity

A function f with variable x is continuous at point “a” on the real line if the limit of f(x), when x approaches the point “a,” is identical to the value of f(x) at “a,” which indicates that f is continuous (a).

Keep in mind that for a function to be continuous at a point, there must be a limit and two other conditions. At that stage, the function must be defined, and. At that time, both the limit and the function must have equal values.

#### Derivatives: Definition and Basic Rules

The rate at which a function changes in relation to a variable in mathematics. Calculus and differential equations problems must be solved using derivatives.

• The Rate of Change of a Function
• The Derivative Function
• Derivative Rules
• The Chain Rule
• Derivative Rules for Trigonometric Functions
• Derivative of Exponential and Logarithmic Differentiation
• Derivative of Inverse Functions

#### Derivatives: Chain Rule and Other Advanced Topics

Rules for Finding Derivatives

• The Power Rule.
• Linearity of the Derivative.
• The Product Rule.
• The Quotient Rule.
• The Chain Rule.

Application of Derivatives

• Elasticity of Demand
• Related Rates
• Linear and Higher Order of Approximations
• Indeterminate Form
• Extrema of a Function
• The Mean Value Theorem
• Curve Sketching
• Optimization Problems

#### Analyzing Functions

Graphs, tables of values obtained by experimentation, algebraic formulas, or a combination of these can all be used to create functions. If that makes sense, in the latter condition, the table provides a number of locations in the plane that we may interpolate using a smooth curve.

• The Vertical Line Test
• Domain of the Square-Root Function
• Open Box
• Circle of Radius r Centered at the Origin
• Domain
• Piecewise Velocity
• Piecewise Defined Function ## Integrals

An integral in calculus is a mathematical concept representing an area or an expanded version of an area. The basic components of calculus are integrals and derivatives. The terms antiderivative and primal are additional terms for integral.

### Types of Integrals

#### Definite Integrals

Definite integrals have start and end values and upper and lower bounds. A definite Integral, also known as a Riemann Integral when it is constrained to lie on the real line, and the value of x is only allowed to lie on a real line.

#### Indefinite Integrals

The upper and lower bounds are not used to define indefinite integrals. The derivatives of the provided function are represented by the indefinite integrals, which return a function of the independent variable.

#### Differential Equations

Any equation containing one or more terms and one variable’s derivatives with respect to another variable is referred to as a differential equation.

#### Application of Integrals

Functions, differentiation, and integration are a few calculation techniques. Integral applications can be found in several disciplines, including science, engineering, and mathematics. Additionally, we primarily use integral formulas to calculate areas or irregular forms in a two-dimensional space.

#### Searching for a Calculus Tutor for K-12 students in NYC? Chat with Themba Tutors Today! Our experienced Calculus tutors provide customized and personalized assistance to help you fully comprehend the complexities of calculus.

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Call: (917) 382-8641, Text: (833) 565-2370

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#### Craig Selinger

Owner at Themba Tutors
Craig Selinger, CEO of Themba Tutors (serving Manhattan, Brooklyn, Queens, Staten Island, Bronx, Westchester, Long Island, New Jersey, and Connecticut), is a NY State licensed speech-language pathologist, executive functioning coach, and learning specialist with over 18 years of experience working professionally with over a thousand families. His expertise includes language-based learning issues, e.g. reading, writing, speaking, and listening, executive functioning, ADHD/ADD, and learning disabilities. Check out his interviews with top-notch professionals in the field on Spotify.
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