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Complete Mathematics Course

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  • Course Description

    Mathematics is the study of topics such as quantity (numbers), structure, space and change. Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. All the topics in Mathematics have been prepared considering the needs of students preparing for elimore...
    Mathematics is the study of topics such as quantity (numbers), structure, space and change. Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. All the topics in Mathematics have been prepared considering the needs of students preparing for elite exams like IIT JEE (Main and Advanced). The theory has been well supported with illustrious examples to help students excel in this section. The videos explain majority of the topics from the scratch and help students understand the concepts with ease. This all-inclusive bundle of Mathematics which includes Study Planner, NCERT Solutions, Mind Map, Revision Notes, Previous Year Exam Questions & Solutions and a Test Paper with video solution makes learning an interesting and fruitful experience. ...less

  • Course Features

    • 255 Video Lectures
    • Revision Notes
    • Test paper with Video Solution
    • Mind Map
    • Study Planner
    • NCERT Solutions
    • Discussion Forum
    • Previous Year Exam Questions

  • Video Lectures Description

    This Course Contains

    • 1. Sets and Relations

      1.1 Introduction to Sets Preview

      22:00 Min

      1.2 General Terminology

      24:19 Min

      1.3 Venn Diagram and Operation on Sets

      27:02 Min

      1.4 Some useful Properties of Sets

      20:13 Min

      1.5 Relations

      18:32 Min

      1.6 Domain, Range and Co-Domain

      15:12 Min

      1.7 Types of Relations

      27:18 Min

      1.8 IIT-JEE at Glance

      16:17 Min

    • 2. Inverse Trigonometric functions

      2.1 Inverse Trigonometric Functions Preview

      06:39 Min

      2.2 General Introduction

      05:48 Min

      2.3 Principal Values & Domain of ITF

      10:30 Min

      2.4 Graphical Representation

      18:13 Min

      2.5 Properties

      30:58 Min

      2.6 Simplification & Transformation of Inverse Functions

      13:45 Min

      2.7 Equations Involving ITF

      08:19 Min

      2.8 Simultaneous Equations & In-equations Involving ITF

      07:22 Min

      2.9 Summation of Series

      11:51 Min

      2.10 JEE Question

      18:33 Min

    • 3. Functions and Logarithms

      3.1 Introduction of Functions and Types of functions Preview

      41:38 Min

      3.2 Types of functions along with number of functions of various types

      30:03 Min

      3.3 Odd and Even functions , Inverse Functions and Periodic functions

      21:36 Min

      3.4 Logarithm - Introduction and types of operations

      16:46 Min

      3.5 IIT JEE at a glance

      16:35 Min

    • 4. Limits and Continuity

      4.1 Limits Preview

      7:05 Min

      4.2 Finding Limits

      6:52 Min

      4.3 One Sided Limits

      4:25 Min

      4.4 Infinite Limits

      4:47 Min

      4.5 Continuity

      8:12 Min

      4.6 LHopital Rule

      19:10 Min

    • 5. Continuity and Differentiability

      5.1 Continuity of function Preview

      31:52 Min

      5.2 Reasons and Types of Discontinuity

      34:26 Min

      5.3 Theorems of Continuity

      39:35 Min

      5.4 Differentiability / Derivability

      17:52 Min

      5.5 Theorems on differentiability

      13:56 Min

      5.6 Differentiability by Differentiation

      08:39 Min

      5.7 IIT JEE Problems

      27:18 Min

    • 6. Trigonometry - Phase 1

      6.1 Graphs of Trigonometric Functions, Reduction Formulae Preview

      15:01 Min

      6.2 Trigonometric Formulae of Compound Angles, Multiple and submultiple angles

      14:08 Min

      6.3 Applications of trigonometry in optimization, Summation of series

      20:02 Min

      6.4 Sine rule, Cosine rule, Projection formula, Napier analogy

      23:22 Min

      6.5 Half Angle Formulae, m-n theorem

      19:56 Min

      6.6 Centroid and medians of triangle, bisectors of angles, circumcircle, incircle, escribed circle, pedal triangle

      16:51 Min

      6.7 Cyclic Quadrilateral and regular Polygon

      13:26 Min

      6.8 IIT JEE Questions

      16:30 Min

    • 7. Methods of Differentiation

      7.1 Introduction& Some Standard Derivatives Preview

      19:44 Min

      7.2 Checkpoint(First Principle and Standard Derivatives)

      09:45 Min

      7.3 Some Differentiation Rules

      16:10 Min

      7.4 Logarithmic Differentiation

      18:05 Min

      7.5 Implicit Function Differentiation

      11:00 Min

      7.6 Parametric Differentiation

      08:00 Min

      7.7 Miscellaneous Differentiation Concepts

      12:50 Min

      7.8 Checkpoint(Miscellaneous)

      10:13 Min

      7.9 IIT JEE at Glance-Differentiation

      24:57 Min

    • 8. Applications of Derivatives

      8.1 Monotonicity Preview

      36:38 Min

      8.2 Maxima and Minima

      33:32 Min

      8.3 Tangent and Normal

      21:43 Min

      8.4 Miscellaneous

      10:18 Min

      8.5 IIT JEE Questions

      21:09 Min

    • 9. Trigonometric Functions and Equations

      9.1 Trigonometric Equations and Unit Circle Preview

      16:19 Min

      9.2 General Solutions and formulae involved

      12:57 Min

      9.3 Some more formulae, Principle Solution and its algorithm

      10:36 Min

      9.4 Examples based on Solutions of Trigonometric Equations-I

      9:34 Min

      9.5 Examples based on Solutions of Trigonometric Equations-II

      13:42 Min

      9.6 Question type-By Factorisation and by introducing auxiliary argument

      14:12 Min

      9.7 Question type-By converting product to sum form and sum to product form

      10:13 Min

      9.8 Question type- By changing the variable and by introducing a new variable

      6:49 Min

      9.9 Question type- Using boundedness of function and by solving equations of the form f(x)= vf(x)

      9:39 Min

      9.10 Trigonometric Inequalities and Examples

      14:55 Min

      9.11 Competitive level questions-Part I

      17:38 Min

      9.12 Competitive level questions-Part II

      13:26 Min

      9.13 Competitive level questions-Part III

      10:01 Min

    • 10. Principle of Mathematical induction

      10.1 Introduction to Mathematical Induction Preview

      8:52 Min

      10.2 Principles of Mathematical Induction

      23:22 Min

      10.3 IIT- at Glance

      22:56 Min

    • 11. Linear Inequalities

      11.1 System of Inequalities Preview

      13:24 Min

      11.2 Application of System of Inequalities

      14:40 Min

      11.3 Rational Inequalities

      15:13 Min

      11.4 Application of Rational Inequalities

      10:38 Min

      11.5 Modulus Inequalities

      07:29 Min

      11.6 Modulus Inequalities Complexities

      13:32 Min

      11.7 Logarithm Inequalities

      12:14 Min

      11.8 Logarithm Inequalities Complexities

      17:29 Min

      11.9 Previous Year JEE Questions

      10:51 Min

    • 12. Quadratic Equations

      12.1 Introduction to Theory Of Equations Preview

      14:43 Min

      12.2 Learning Identities

      10:24 Min

      12.3 Finding Roots

      6:18 Min

      12.4 Finding equation

      8:46 Min

      12.5 Solving Expression by Sum and Product Formula

      11:59 Min

      12.6 Nature Of Roots

      12:38 Min

      12.7 Beginning Graphs

      10:38 Min

      12.8 More About Graphs

      9:23 Min

      12.9 Graphical Representation Application

      7:01 Min

      12.10 Location of roots

      14:41 Min

      12.11 More about location of roots

      9:00 Min

      12.12 Location Of Roots Application

      9:33 Min

      12.13 Common Roots

      8:21 Min

      12.14 Reducible Equations

      16:10 Min

      12.15 Previous Year JEE Questions

      12:57 Min

    • 13. Indefinite Integration

      13.1 Introduction to Integrals Preview

      24:44 Min

      13.2 Techniques of Integration

      18:31 Min

      13.3 Techniques of Integration - Standard Substitutions

      12:04 Min

      13.4 Techniques of Integration - Indirect, Derived and Substitution after Manipulation

      15:11 Min

      13.5 Integration by parts and by partial fraction

      16:31 Min

      13.6 Algebraic and Trigonometric Integrals

      18:51 Min

      13.7 Previous Year JEE Questions

      13:05 Min

    • 14. Definite Integration

      14.1 Meaning of Definite Integration and important facts Preview

      15:59 Min

      14.2 Properties of Definite Integration

      22:09 Min

      14.3 Leibnitz Rule and Definite Integral as Limit of Sum

      17:23 Min

      14.4 Estimation of Definite Integral and General Inequalities in Integration and Walli's Theorem

      13:57 Min

      14.5 IIT JEE Questions

      20:20 Min

    • 15. Sequences and Series

      15.1 Introduction Preview

      8:39 Min

      15.2 Introduction And Sum of N Terms

      17:42 Min

      15.3 Arithmetic Mean And Important Points

      24:49 Min

      15.4 Introduction And Sum of N Terms And Infinite Series

      16:19 Min

      15.5 Geometric Mean And Important Points

      22:36 Min

      15.6 Arithmetic-Geometric Progression

      13:31 Min

      15.7 Miscellaneous Progressions

      18:56 Min

      15.8 Harmonic Progression And Relation Between Am,Gm And Hm

      16:25 Min

    • 16. Applications of Integration

      16.1 Different cases of Bounded Area Preview

      22:47 Min

      16.2 Some Standard Areas

      11:52 Min

      16.3 Curve Tracing

      28:30 Min

      16.4 Variable Area, Greatest & Least value, Average Value of a Function

      12:39 Min

      16.5 IIT JEE Questions

      24:16 Min

    • 17. Differential Equations

      17.1 Definition, order, degree and formation of differential equations Preview

      20:13 Min

      17.2 Solution of differential equations and variable separable form

      13:56 Min

      17.3 Reducible to variable separable type

      20:52 Min

      17.4 Homogeneous and reducible to homogeneous differential equations

      21:20 Min

      17.5 Linear differential equations

      26:00 Min

      17.6 Physical Applications

      13:25 Min

      17.7 Physical applications (2)

      26:03 Min

    • 18. Binomial Theorem

      18.1 Introduction to Binomial Theorem Preview

      23:29 Min

      18.2 Explanation of Binomial Theorem

      19:03 Min

      18.3 Important Terminology

      19:05 Min

      18.4 Numerically Greatest Term

      3:18 Min

      18.5 Binomial Coefficients and Properties

      18:39 Min

      18.6 Miscellanous

      22:16 Min

      18.7 Miscellanous - 2

      10:37 Min

      18.8 Miscellanous - 3 Multinomial

      12:35 Min

      18.9 IIT JEE at a Glance

      29:04 Min

    • 19. Straight lines

      19.1 Introduction to Basic Concepts of Co-ordinate Geometry and Straight Lines Preview

      2:48 Min

      19.2 Slope definition

      13:17 Min

      19.3 Angle between two Straight Lines

      9:55 Min

      19.4 Different Forms of Equations

      36:46 Min

      19.5 Position of point w.r.to line and Concurrency

      8:55 Min

      19.6 Bisectors of Angles between two Lines

      12:35 Min

      19.7 Family of Lines

      7:29 Min

      19.8 Pair of straight lines

      8:39 Min

      19.9 Homogenisation

      5:51 Min

    • 20. Circles

      20.1 Introduction to Circles Preview

      17:38 Min

      20.2 Diametric and Parametric forms

      8:58 Min

      20.3 Position of Point and Line

      22:56 Min

      20.4 Intersection of Two circles

      23:08 Min

      20.5 Chord of Contact and Director Circle

      11:20 Min

      20.6 Tangent from a point outside

      11:35 Min

      20.7 Family of Circles

      14:04 Min

    • 21. Complex Numbers

      21.1 Classification and geometrical representation of complex numbers, integral power of 'i' Preview

      14:16 Min

      21.2 Algebra of Complex Numbers

      29:12 Min

      21.3 Conjugate and modulus of Complex Numbers

      9:59 Min

      21.4 Argument of Complex numbers

      19:03 Min

      21.5 Representation of Complex Numbers

      14:14 Min

      21.6 Properties of modulus, conjugate and argument

      24:57 Min

      21.7 Concept of rotation

      16:16 Min

      21.8 Demoivre's Theorem

      10:13 Min

      21.9 Cube roots of unity

      15:07 Min

      21.10 Geometry of Complex Numbers

      15:07 Min

      21.11 Geometry of Complex Numbers - 2

      8:28 Min

      21.12 Logarithm of Complex Quantity

      8:07 Min

      21.13 Previous year JEE Questions

      17:12 Min

    • 22. 3D Geometry

      22.1 Distance and section formulae Preview

      09:24 Min

      22.2 Direction Cosines, Direction Ratios, Angle between two lines

      18:17 Min

      22.3 Different forms of equations of planes

      17:52 Min

      22.4 Family of planes, angle between two planes

      18:36 Min

      22.5 Symmetric and unsymmetric form

      14:58 Min

      22.6 IIT JEE Questions

      15:14 Min

    • 23. Matrices and Determinants

      23.1 Definition, order and types of matrices Preview

      19:14 Min

      23.2 Addition and Subtraction of Matrices

      11:35 Min

      23.3 Multiplication of matrices

      15:41 Min

      23.4 Special Matrices (Part 1)

      13:59 Min

      23.5 Special Matrices (Part 2)

      13:37 Min

      23.6 Elementary Row/Column operations of a matrix

      6:01 Min

      23.7 Determinant and their properties

      18:02 Min

      23.8 Minors and cofactors

      13:42 Min

      23.9 Adjoint of a matrix

      13:41 Min

      23.10 Inverse of a matrix

      15:22 Min

      23.11 Rank of a matrix

      11:12 Min

      23.12 System of equations(Cramer's rule)

      21:34 Min

      23.13 Matrix method and Augmented matrix

      23:40 Min

    • 24. Ellipse

      24.1 Introduction to Ellipse Preview

      28:04 Min

      24.2 Important Concepts Related to Ellipse

      21:57 Min

      24.3 Tangents to Ellipse

      17:39 Min

      24.4 Pair of Tangents and Normals

      22:28 Min

      24.5 Pole Polar, Diameter and Eq wrt to Lines

      19:14 Min

      24.6 Previous Year JEE Questions

      27:31 Min

    • 25. Hyperbola

      25.1 Definition of Hyperbola Preview

      29:58 Min

      25.2 Equation of Tangents-Hyperbola

      29:32 Min

      25.3 Equation of Normals and properties of Hyperbola

      8:28 Min

      25.4 Previous Year IIT JEE Questions

      9:27 Min

    • 26. Permutation and Combination

      26.1 Fundamental Principle of Counting Preview

      4:54 Min

      26.2 Permutation

      6:03 Min

      26.3 Combination

      6:40 Min

      26.4 Theorem Related To Application of Permutation And Combination

      15:03 Min

      26.5 Formation of Groups

      7:52 Min

      26.6 Permutation of Alike Objects

      10:10 Min

      26.7 Circular Permutation

      10:19 Min

      26.8 Total Number of Combination Or Selection

      11:33 Min

      26.9 Problems Based On Number Theory

      14:07 Min

      26.10 Summation of Numbers(2 Different Ways)

      5:12 Min

      26.11 Distribution of Alike Objects

      8:15 Min

      26.12 Derangements And Some Important Results About Points

      6:23 Min

    • 27. Vectors

      27.1 Meaning & types of vectors Preview

      16:51 Min

      27.2 Triangle and Parallelogram Laws of Vector Addition

      22:09 Min

      27.3 Section Formula

      11:06 Min

      27.4 Orthogonal system of unit vectors, scalar product and properties

      22:00 Min

      27.5 Vector product of two vectors & related properties

      25:54 Min

      27.6 Scalar Triple Product & Properties

      09:06 Min

      27.7 Vector triple product and reciprocal system of vectors

      28:33 Min

      27.8 Linear Combination of vectors

      18:51 Min

      27.9 Applications of Vectors in Geometry

      15:37 Min

      27.10 IIT JEE Questions

      20:38 Min

    • 28. Linear Programming

      28.1 Introduction and Mathematical Description of LP Preview

      15:19 Min

      28.2 Mathematical Formulation of Optimal Product Line, Diet and Transportation Problems

      41:19 Min

      28.3 Important definitions and Results

      11:44 Min

      28.4 Corner Point Method

      24:05 Min

      28.5 Iso- Profit/ Iso-Cost Method

      21:55 Min

      28.6 Different Types of LPP

      31:31 Min

    • 29. Statistics

      29.1 Introduction to Statistics and Measures of Central Values Preview

      18:35 Min

      29.2 Calculation of Median

      25:31 Min

      29.3 Mode

      10:52 Min

      29.4 Range and Mean Deviation

      18:09 Min

      29.5 Variance, Standard Deviation and Coefficient of Variation

      24:43 Min

    • 30. Probability

      30.1 Probability & Random Experiment Preview

      10:21 Min

      30.2 Sample Space

      08:05 Min

      30.3 Definition

      33:25 Min

      30.4 Algebra of Events

      35:47 Min

      30.5 Independent Events

      13:09 Min

      30.6 Conditional Probability

      13:28 Min

      30.7 Total Probability Theorem

      15:40 Min

      30.8 Baye's Theorem

      10:43 Min

      30.9 Binomial Trails & Distribution

      11:56 Min

      30.10 JEE Questions

      18:13 Min

    • 31. Parabola

      31.1 Introduction to Conic Sections Preview

      10:10 Min

      31.2 Introduction to Parabola

      10:18 Min

      31.3 Forms of Parabola

      8:07 Min

      31.4 Checkpoint (Introduction to Parabola)

      11:37 Min

      31.5 Points and Lines w.r.t. Parabola

      9:10 Min

      31.6 Tangents and Normals

      19:18 Min

      31.7 Checkpoint (Tangent and Normals)

      9:03 Min

      31.8 Chord, Diameter & Important Results

      15:05 Min

      31.9 Check Point (Chord and Imp. Results)

      5:54 Min

      31.10 Sub-tangent, Sub-normal and Properties of Parabola

      17:49 Min

      31.11 Checkpoint (Miscellaneous)

      6:17 Min

    • 32. Mathematical Reasoning

      32.1 Statement and Conjunction Preview

      14:37 Min

      32.2 Disjunction, Negation and Quantifiers

      14:42 Min

      32.3 Implication, Contrapositive and Converse

      19:06 Min

      32.4 Tautology, Fallacy and Algebra of Statements

      14:37 Min

  • FAQs

    • How can I access this course?
      This is an online course which offers study material and test papers prepared by best of Engineering/Medical faculty. You can browse all your material by logging into askiitians.com and then clicking My Self Study Course from top right. Click Here to know step by step process.
    • What are system requirements?
      You need an internet connection to view the study material. Since some of the materials are in video format, you are advised to get headphone or speakers to listen to video.
    • For how long, this course will be active in my profile?
      This course will remain active for 1 year in your profile. You will have to renew it to use it again.
    • Does this course cover board level as well?
      This course material was prepared keeping in mind toughness of JEE and NEET but it is ideal course of any Engineering/Medical entrance or Board exam.

    • There are too many reading materials. From where do I start?
      You can first start with study planner to know how to approach new chapter. After that you can start with topic wise video lectures. Once you are done with all lectures, you can revise chapter by running through mindmap and revision notes. Once you are confident that you are done with all the concepts, you can practice Test paper, Past JEE/NEET papers and ncert papers.
    • I did not like the course, can i get refund and get my money back?
      Since we are offering premium package at dirt cheap price, we do not encourage refund. However, we can look at the request at case by case basis. We believe that we can solve your issues instead of loosing you.

  • Teacher’s profile

    Name: Harsh Patodia
    Subject: Maths
    Years of Experience: 7 Years
    Rating

    Harsh sir graduated with an engineering degree from IIT Roorkee. He has more than 7 years of experience in coaching JEE aspirants. His special solving skills and tricks have helped lots of JEE aspirants not only to crack it, but gain exceptionally great ranks as well. His main teaching methodology is designed with quick numeric solving ability. Under his expert guidance, more than 1600 students have cleared JEE with a number of under 1000 AIR.His experience is also rich with guiding innumerable students clear olympaids like KVPY, NTSE, IJSO, SOF IMO, SOF NSO, etc. View complete profile

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