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Index

Speed, Distance, Velocity and Acceleration

Scalar and Vector Quantities

Equations of Motion

Newton`s Laws of Motion

Circular Motion

Friction and Terminal Velocity

Work and Energy

Hooke`s Law

Waves

Optics

Electricity

Magnetism

Atomic Structure

The Solar System

Gravitation

Sets

Relations and Functions

Trigonometric Functions

Complex Numbers and Quadratic Equations

Linear Inequalities

Permutations and Combinations

Binomial Theorems

Sequence and Series

Straight Lines

Circle-Parabola-Ellipse-Hyperbola

Limits and Derivatives

Probability

Relations ans Functions

Inverse Trigonometric Functions

Continuity and Differentiability

Application of Derivatives

Integrals

Application of Integrals

Practise Questions for PAT

All Exams > PAT > Crash Course for PAT > All Videos

All videos of Crash Course for PAT

Speed, Distance, Velocity and Acceleration

Calculating Average Speed and Velocity

11:18 min

Solving for Time

09:35 min

Displacement from time and velocity example

05:00 min

Instantaneous speed and velocity

04:38 min

Acceleration - One-dimensional motion

09:06 min

Why distance is area under velocity-time line

09:26 min

Average velocity for constant acceleration

14:10 min

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Scalar and Vector Quantities

Intro to Vectors & Scalars

08:39 min

Visualizing Vectors in 2 Dimensions

12:01 min

Unit Vector Notation (Part 1)

09:54 min

Unit Vector Notation (Part 2)

09:13 min

Equations of Motion

Equations of Motion

09:17 min

Derivation of Equations of Motion

13:05 min

Equations of Motion

16:28 min

Newton`s Laws of Motion

Newton's First Law of Motion

09:32 min

Applying Newton's first law of motion

07:14 min

Newton's second law of motion

07:14 min

Unbalanced forces and motion

06:37 min

Newton's third law of motion

08:00 min

Center of mass

09:36 min

Introduction to torque

09:25 min

Circular Motion

Uniform Circular Motion

37:49 min

Angular Velocity and Speed

07:30 min

Centripetal Force and Acceleration

10:47 min

Friction and Terminal Velocity

Force of friction keeping the block stationary

08:19 min

Correction to force of friction keeping the block stationary

00:51 min

Force of friction keeping velocity constant

08:58 min

Intuition on static and kinetic friction comparisons

07:21 min

Static and kinetic friction example

09:50 min

Terminal Velocity

07:39 min

Work and Energy

Introduction to Work and Energy - 1

09:18 min

Introduction to Work and Energy - 2

09:52 min

Conservation of Energy

10:06 min

Work and the Work-Energy Principle

05:48 min

Work as the transfer of energy

03:17 min

Work example problems

04:50 min

Work as area under curve

12:31 min

Thermal energy from friction

14:47 min

Work/energy problem with friction

10:05 min

Conservative forces

04:02 min

Power

05:46 min

Intro to springs and Hooke's law

10:06 min

Potential energy stored in a spring

10:00 min

Spring potential energy example (mistake in math)

09:39 min

LOL diagrams

15:00 min

Vertical springs and energy conservation

14:27 min

Introduction to mechanical advantage - 1

10:02 min

Introduction to mechanical advantage - 2

06:50 min

Introduction to mechanical advantage - 3

10:35 min

Hooke`s Law

Stress & Strain - 1

03:14 min

Stress & Strain - 2

03:26 min

Hooke's Law

01:46 min

Waves

Electromagnetic waves and the electromagnetic spectrum

11:02 min

Polarization of light, linear and circular

14:30 min

Wave interference

14:29 min

Young's double slit introduction

09:33 min

Young's double slit equation

06:41 min

Young's double slit problem solving

07:09 min

Diffraction grating

14:21 min

Single slit interference

15:00 min

More on single slit interference

13:06 min

Thin Film Interference - 1

12:03 min

Thin Film Interference - 2

12:03 min

Photon Energy

09:18 min

Optics

Convex lenses

09:23 min

Convex lens examples

09:36 min

Concave lenses

03:06 min

Object image and focal distance relationship (proof of formula)

12:29 min

Object image height and distance relationship

02:22 min

Thin lens equation and problem solving

12:56 min

Multiple lens systems

14:07 min

Diopters, Aberration, and the Human Eye

12:57 min

Virtual image

07:53 min

Parabolic mirrors and real images

11:37 min

Parabolic mirrors 2

12:49 min

Specular and diffuse reflection

11:00 min

Specular and diffuse reflection 2

07:41 min

Refraction and Snell's law

14:24 min

Refraction in water

04:24 min

Snell's law example 1

08:11 min

Snell's law example 2

09:48 min

Total internal reflection

07:31 min

Dispersion - Geometric optics

02:15 min

Electricity

Coulomb's Law

11:50 min

Electrostatics (part 1): Introduction to Charge and Coulomb's Law

14:02 min

Conservation of Charge

08:48 min

Conductors and Insulators

13:33 min

Electric field

13:33 min

Electric potential energy

12:37 min

Voltage - Electric charge, electric force & voltage

08:55 min

Electric potential at a point in space

11:15 min

Introduction to circuits and Ohm's law

11:39 min

Resistors in series

11:08 min

Resistors in parallel

12:21 min

Example: Analyzing a more complex resistor circuit

07:07 min

Resistivity and conductivity

12:02 min

Electrolytic conductivity

03:59 min

Voltmeters and Ammeters

08:18 min

Capacitors and capacitance

05:43 min

Capacitance - Circuits

13:35 min

Energy of a capacitor

06:23 min

Capacitors in series

09:35 min

Capacitors in parallel

10:00 min

Dielectrics in capacitors

06:27 min

Photoelectric effect and Electronic structure of atoms

10:24 min

Magnetism

Magnetism - Part 1

10:45 min

Magnetism - Part 2

09:00 min

Magnetism - Part 3

10:49 min

Magnetism - Part 4

10:40 min

Atomic Structure

Photoelectric effect and Electronic structure of atoms

10:24 min

Bohr Model Radii (derivation using physics)

10:52 min

Bohr model energy levels (derivation using physics)

12:08 min

Bohr model energy levels

09:47 min

Emission spectrum of hydrogen

10:50 min

Quantum numbers

12:00 min

Electron configurations for the first period

06:22 min

Electron configurations for the second period

12:12 min

Paramagnetism and diamagnetism

08:05 min

The Solar System

Comet, Meteor, Asteroid

03:46 min

The Solar System

15:59 min

Phases of Moon

04:08 min

Solar Eclipse and Lunar Eclipse

04:06 min

Gravitation

Acceleration Due to Gravity

03:48 min

Acceleration Due to Gravity above the Surface of Earth

06:55 min

Gravity

04:44 min

Kepler's Laws of Planetary Motion

01:47 min

Orbital & Escape Velocity - 1

03:33 min

Orbital & Escape Velocity - 2

03:29 min

Sets

Sets Basics

07:29 min

Subsets, Proper Subsets & Supersets

03:36 min

Union and Intersection of Sets, Difference of 2 Sets and Complement of Set

12:15 min

Finite & Infinite Sets

01:59 min

Sets & their Representation

03:14 min

The Singleton & Empty Set

03:00 min

Equal & Equivalent Sets

03:03 min

Fun Video: Cartesian Product of Sets

08:47 min

Fun Video: Union & Intersection of Sets

05:51 min

Practical Problems on Union & Intersection of 2 Sets

04:56 min

Fun Video: Complement of a Set

07:35 min

Universal Set

03:40 min

Relations and Functions

What are Functions ?

01:52 min

Some Functions & their Graphs

13:48 min

What are Relations ?

03:12 min

Trigonometric Functions

Degree Measure of Angles

03:58 min

Radian Measure of Angles

05:40 min

Signs of the Trigonometric Functions

06:13 min

Introduction to Trigonometric Functions

09:33 min

Trigonometric Functions: Domain and Range

22:44 min

Trigonometric Equations

05:10 min

Complex Numbers and Quadratic Equations

Basics of Complex numbers

03:36 min

Introduction to Imaginary Numbers

04:50 min

Powers of i (iota)

04:40 min

Algebra of Complex Numbers

03:36 min

Polar Representation of a Complex Number- 1

02:10 min

Polar Representation of a Complex Number- 2

05:31 min

Quadratic Equations

03:12 min

Linear Inequalities

Introduction to Linear Inequalities

08:40 min

Graphical Solution of Linear Inequalities in 2 variables

14:38 min

Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation

08:40 min

Solution of System of Linear Inequalities in 2 Variables

03:44 min

Permutations and Combinations

Derivation of Permutation Formula

07:51 min

Overview of Permutations and Combinations

17:41 min

What are Permutations?

07:39 min

Introduction to Combinations

10:16 min

Combinations and its Formula

04:54 min

Examples of Combinations (NCERT) - Permutations and Combinations

12:35 min

Fun Video: Introduction to Permutations

03:42 min

Theorems on Combinations

05:24 min

Miscellaneous Examples (NCERT) - Permutations and Combinations

12:54 min

Binomial Theorems

Examples (NCERT): Miscellaneous

10:13 min

Examples (NCERT): Miscellaneous- 2

13:38 min

Special Cases in Binomial Theorem

04:43 min

Fun Video: Pascal's Triangle

04:50 min

General and Middle Terms in Binomial Expansion

12:57 min

Miscellaneous Examples (NCERT): Part 3

10:23 min

Binomial Theorem for Positive Integral Indices

37:43 min

Examples (NCERT) : Part 6 - Binomial Theorem

09:19 min

Examples (NCERT) : Part 7 - Binomial Theorem

12:23 min

Examples (NCERT) of Middle Term: Part- 1

10:53 min

Examples (NCERT) of Middle Term: Part- 2

13:27 min

Examples (NCERT) of Middle Term: Part- 3

09:58 min

Sequence and Series

What is a Sequence?

03:43 min

What is a Series?

03:04 min

Arithmetic Progression: General Term and Sum

09:07 min

Arithmetic Progression (A.P) and Geometric Progression (G.P)

04:56 min

A.P: Examples (NCERT): Part 1 - Sequence and Series

12:29 min

Video: Arithmetic Mean

05:31 min

Geometric Mean

07:34 min

Arithmetic Mean : Inclusive of NCERT examples

06:34 min

Geometric Progression: General term and Sum

09:05 min

Sum to n Terms of Special Series

14:03 min

G.P NCERT Examples: Sequence and Series

10:21 min

Geometric Mean (G.P)

12:37 min

Straight Lines

Slope of a line

05:29 min

Angle Between two lines

12:47 min

Horizontal and Vertical Lines, Point Slope Form and Two Point Form

09:19 min

Collinearity of 3 points

10:01 min

Two-Point Form

06:25 min

Point Slope Form

09:12 min

General Equation of a Line

11:21 min

Video: Distance of a Point from a Line and Distance between 2 Parallel Lines

09:31 min

Slope Intercept Form

05:18 min

Examples (NCERT): Point Slope Form

12:07 min

Examples (NCERT): Miscellaneous

09:21 min

Examples (NCERT) - Straight Lines

14:45 min

Examples (NCERT) - Straight Lines

11:57 min

Circle-Parabola-Ellipse-Hyperbola

Sections of a cone, circle, ellipse, parabola and hyperbola and Degenerate Conic Sections

79:02 min

Parabola : Standard Equations of Parabola and Length of Latus Rectum

12:18 min

Circle: Examples

10:49 min

Ellipse : Major and Minor Axis Relationship between Semi Major Semi Minor Axis Distance of the Focus

09:18 min

Ellipse: Eccentricity Standard Equations of Ellipse Latus Rectum

09:53 min

Parabola : Summary and Examples

11:19 min

Derivation of Standard Equation of Ellipse

03:09 min

Hyperbola : Eccentricity Standard Equations Latus Rectum

13:33 min

Hyperbola : Introduction

13:34 min

Ellipse: Examples

08:40 min

Hyperbola : Examples

08:55 min

Limits and Derivatives

Fun Video: Overview of Limits and Derivatives

10:02 min

Introduction to Limits: Part 1

11:32 min

Introduction to Derivatives or Idea of Derivatives

03:16 min

Limits: Examples Part 1

10:03 min

Limits: Examples Part 2

11:55 min

Introduction to Limits: Part 2

07:39 min

Algebra of Limits and Limits of Polynomials and Rational Numbers

08:37 min

Examples of Limits of Polynomials (with Explanation)

05:42 min

Examples of Limits of Rational Numbers (with Explanation)

10:18 min

Limits of Trigonometric Functions (includes Sandwich Theorem and Example)

07:49 min

What are Derivatives?

05:01 min

Example of Derivatives

09:36 min

Introduction to Derivatives and its Geometrical Interpretation

05:01 min

Algebra of Derivative of Functions

04:07 min

Derivative of Polynomial Functions

05:31 min

Derivative of Trigonometric Functions

03:35 min

Illustration of Limits of Some Functions

03:48 min

Examples Limits of Trigonometric Functions

13:42 min

Probability

Fun Video: Introduction to Probability with an Example

04:10 min

Venn Diagrams

01:37 min

Video: Events and its types - Probability

09:39 min

Important Terms: Sample Space Sample Points and Events

01:46 min

Sure and Impossible Events

02:48 min

Mutually Exclusive Events

06:09 min

Algebra of Events

09:30 min

Probability of Equally Likely Events (Tossing a Coin)

04:03 min

Axiomatic Approach to Probability

05:38 min

Probability of Equally Likely Events (Throwing a dice)

03:23 min

Probability of the Event 'A' or 'B'

04:35 min

Probability of Event 'Not Occuring'

01:24 min

Relations ans Functions

Detailed Video: Functions

18:31 min

Detailed Video: Types of Relations

22:47 min

Detailed Video: Basics of Relations & Functions

24:41 min

Fun Video: What are Functions?

06:26 min

Detailed Video: Types of Functions

23:31 min

Detailed Video: Equivalence Class

04:36 min

Detailed Video: Binary Operations

26:26 min

Types of Relations: Reflexive Symmetric Transitive & Equivalence

16:24 min

Fun Video: Types of Functions (Injective, Surjective & Bijective)

17:15 min

Examples: Types of Functions

11:56 min

Invertible Functions

11:09 min

Theorems: Composition of Functions

08:43 min

Commutative & Associative Properties: Binary Operations

10:45 min

Composition of Functions

07:07 min

Examples: Binary Operations

10:45 min

Equivalence Class

12:03 min

Inverse Trigonometric Functions

Basic Concepts of Inverse Trigonometric Functions

06:54 min

Properties of Inverse Trigonometric Functions

12:36 min

Examples: Inverse Trigonometric Functions

11:05 min

Examples: Finding Principal Values

07:47 min

Continuity and Differentiability

Derivatives of Composite Functions (Using the Chain Rule)

09:17 min

Derivatives of Trigonometric Functions

16:42 min

Video: Continuity of a Function

08:28 min

Algebra of Continuous Functions

10:24 min

Proof of theorem stating Differentiability implies Continuity

11:40 min

Differentiability of a Function

07:12 min

Observations Related to Logarithmic and Exponential Functions

01:55 min

Fun Video: Introduction to Logarithms

03:34 min

Examples: Exponential and Logarithmic Differentiation

12:18 min

Examples: Derivatives of Functions in Parametric Form

14:09 min

Second Order Derivatives

04:13 min

Examples : Derivatives of Composite Functions (Using the Chain Rule)

08:30 min

Logarithmic and Exponential Functions

09:33 min

Rules of Logarithmic Functions

04:31 min

Derivatives of Functions in Parametric Form

05:35 min

Examples: Second Order Derivatives

14:55 min

Mean Value Theorem

06:37 min

Rolle's Theorem

07:54 min

The Mean Value Theorem

09:52 min

Application of Derivatives

To Calculate Rate of Change of Quantities

04:37 min

Increasing and Decreasing Functions

07:32 min

Examples : Tangents and Normals

13:50 min

Increasing and Decreasing Functions at a Point

05:32 min

Examples : Approximations

08:17 min

Approximations using Differentials

04:25 min

Equations of Tangents and Normals using Differentiation

05:03 min

Examples : Absolute maxima and minima

13:15 min

Maxima and Minima of a Function

13:57 min

Finding maxima and minima Using First Derivative Test (with Example)

09:27 min

Examples: Rate of change of quantities

11:50 min

Finding maxima and Minima Using Second Derivative Test (with Example)

08:15 min

Maximum and Minimum Value of a Function in a Closed Interval

12:27 min

Integrals

Properties of Indefinite Integrals

20:20 min

Integration & Physics

10:09 min

Integration as an Inverse Process of Differentiation

06:24 min

Comparison between Differentiation and Integration

14:11 min

Integration using Trigonometric Identities

04:26 min

Fundamental Theorem of Calculus

08:03 min

Video: Integration by Partial Fractions

11:44 min

Integration by Parts - Integrals

10:12 min

Integrals involving Exponential Functions

05:13 min

Integrals of Some More Types

10:33 min

Introduction to Definite Integrals

10:03 min

Evaluation of Definite Integral

05:31 min

Evaluation of Definite Integrals using Substitution method

13:26 min

Properties of Definite Integrals: Part- 1

04:32 min

Examples: Indefinite Integrals by inspection

10:52 min

More Examples : Integration by Substitution

10:28 min

Examples : Integration using Trigonometric Identities

14:56 min

Examples : Integrals of some Particular Functions

13:35 min

Examples : Integration by Partial Fractions

41:07 min

Examples : Integration by Partial Fractions Part 2

08:25 min

Examples : Integration by Parts 1

13:19 min

Examples : Integration by Parts 2

12:57 min

Examples : Evaluation of Definite Integral

14:41 min

Examples : Evaluation of Definite Integrals using Substitution method

06:19 min

Examples : Solving using Properties of Definite integrals

11:54 min

Integration by Substitution (includes Examples)

10:06 min

Integrals of Some Particular Functions

02:37 min

Proof: Integrals of some particular functions

10:06 min

Definite integrals (part II)

09:16 min

Definite Integrals (area under a curve) (part III)

09:46 min

Application of Integrals

Finding Areas Under Simple Curves

06:19 min

Introduction to Area Under the Curve

07:22 min

Finding Area of the Region bounded by a Curve and a Line

06:56 min

Examples : Area bounded by a curve and a line

14:33 min

Example : Area under Simple Curves

06:43 min

Finding Area Between 2 Curves

06:55 min

Finding Area Between 2 Curves

04:09 min

Examples: Area Between 2 Curves

14:42 min

Practise Questions for PAT

Elementary Mathematics-1

47:55 min

Elementary Mathematics-2

38:34 min

Elementary Mathematics-3

32:31 min

Mechanics-1

42:23 min

Mechanics-2

33:06 min

Waves and Optics

35:33 min

Electricity and Magnetism

55:36 min

Natural World

40:24 min

Problem Solving

14:27 min

Crash Course for PAT

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Video lectures for Crash Course for PAT 2024 is part of PAT exam preparation. The videos have been prepared according to the PAT exam syllabus. The Video lectures, notes, tests & MCQs are made for PAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.

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