Suman Saurav Thakur

Chandigarh University

Biography

I have done my mechanical engineering and then Marine Engineering. After a brief sea service I am currently focusing in teaching Mathematics to the students of Std. 11 an 12th in India. I also mentor the candidates in Mathematics who are preparing for IIT JEE examinations. I have my own coaching institute here in India and have 8 years of extensive experience in teaching Mathematics and Science.
I am also working with Chegg.com as a subject matter expert of Basic Maths ( Precalculus, Prealgebra, Geometry, Trigonometry and Algebra).

Education

BS Mechanical Engineering

Chandigarh University

Topics Covered

Foundations for Geometry

Geometry Basics

Graphs and Statistics

Equations and Inequalities

Whole which of Numbers

The Integers

The Language of Algebra

Fractions and Mixed Numbers

Decimals

Linear Functions

Rational Functions

Complex Numbers

Polynomials

Trigonometry

Right Triangles

Area and Perimeter

An Introduction to Geometry

Introduction to Trigonometry

Quadratic Functions

Angles

Parallel and Perpendicular lines

Functions

Applications of Trigonometric Functions

Graphing Trigonometry Functions

Ratio, Proportion, and Measurement

Percent

Systems of Equations and Inequalities

Conic Sections, Nonlinear Inequalities, and Nonlinear Systems

Logic

Introduction to Matrices

Introduction to Conic Section

Congruent Triangles

Circles

Introduction to Conic Sections

Algebra Topics That are Reviewed at the Start of the Semester

Parametric Equations

Polar Coordinates

Introduction to Vectors

Derivatives

Differentiation

Applications of the Derivative

Functions of Several Variables

Series

Introduction to Sequences and Series

Introduction to Combinatorics and Probability

Limits

Integration Techniques

Improper Integrals

Integrals

Integration

Exponential and Logarithmic Functions

Introduction to Sequences and Series

Introduction to Combinatorics and Probability

Functions

Exponents and Polynomials

Probability

Vectors

Relationships Within Triangles

Matrices and Determinants

Polygons

Applications of Integration

Similarity

Surface Area

Volume

Differential Equations

Sequences

Power Series

Taylor Series

Geometric Proof

Properties of Quadrilaterals

Partial Derivatives

Area Between Curves

Volume

Arc Length and Surface Area

Fluid Mechanics

Matrices

Vector Calculus

Continuous Functions

Transformations

Introduction to Algebra

Solve Linear Inequalities

Quadratic Equations

Newton's Laws of Motion

Applying Newton's Laws

Introduction and Vectors

Physics Basics

Work

Kinetic Energy

Rotational Motion

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Electromagnetic Induction

Alternating Current

Magnetic Field and Magnetic Forces

Electric Charge and Electric Field

Atomic Physics

Gauss's Law

Motion in 2d or 3d

Rotation of Rigid Bodies

Dynamics of Rotational Motion

Potential Energy

Motion Along a Straight Line

Second-Order Differential Equations

Sound and Hearing

Electromagnetic Waves

Periodic Motion

Oscillatory Motion

Energy Conservation

Fluid Mechanics

Wave Optics

Graph Linear Functions

Motion

Temperature and Heat

The First Law of Thermodynamics

Mechanical Waves

Acids and bases

Acid-Base Equilibria

Acids and Bases

Thermal Properties of Matter

The Second Law of Thermodynamics

Moment, Impulse, and Collisions

Probability Topics

Composition

Atoms, Molecules and Ions

Electronic Structure

Periodic Table properties

Equilibrium and Elasticity

Gravitation

Multiple Integrals

Electric Potential

Sources of Magnetic field

Inductance

Suman Saurav's Textbook Answer Videos

Calculus: Early Transcendentals

Determine the infinite limit.

$ \displaystyle \lim_{x \to 5^-}\frac{x+1}{x-5} $

Chapter 2: Limits and Derivatives

Section 2: The Limit of a Function

Calculus: Early Transcendentals

Determine the infinite limit.

$ \displaystyle \lim_{x \to 3^+}\ln (x^2 - 9) $

Chapter 2: Limits and Derivatives

Section 2: The Limit of a Function

Calculus: Early Transcendentals

Evaluate the limit and justify each step by indicating the appropriate Limit Law(s).

$ \displaystyle \lim_{x \to 3}(5x^3 - 3x^2 + x - 6) $

Chapter 2: Limits and Derivatives

Section 3: Calculating Limits Using the Limit Laws

Calculus: Early Transcendentals

Evaluate the limit and justify each step by indicating the appropriate Limit Law(s).

$ \displaystyle \lim_{x \to -1}(x^4 - 3x)(x^2 + 5x + 3) $

Chapter 2: Limits and Derivatives

Section 3: Calculating Limits Using the Limit Laws

Calculus: Early Transcendentals

Prove that $ \displaystyle \lim_{x \to 0}x^4 \cos \frac{2}{x} = 0 $.

Chapter 2: Limits and Derivatives

Section 3: Calculating Limits Using the Limit Laws

Calculus: Early Transcendentals

Explain why the function is discontinuous at the given number $ a $. Sketch the graph of the function.

$ f(x) = \left\{
\begin{array}{ll}
\dfrac{1}{x + 2} & \mbox{if $ x \neq -2 $} \hspace{40mm} a = -2\\
1 & \mbox{if $ x = -2 $}
\end{array} \right.$

Chapter 2: Limits and Derivatives

Section 5: Continuity

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