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Polynomials, Coordinate Geometry and Linear Equations

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Nabanita Mukherjee

23:52:29

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  • 1 - Introduction.mp4
    04:40
  • 2 - What is Polynomials.mp4
    08:33
  • 3 - Global Positioning System and Coordinate Geometry.mp4
    03:04
  • 4 - Euler Line.mp4
    09:58
  • 5 - Types of Linear Equations.mp4
    14:11
  • 6 - Polynomials-Topics-covered.pdf
  • 6 - References.pdf
  • 6 - Variables constants coefficients terms and degrees of polynomials.mp4
    23:47
  • 7 - Degrees of polynomials polynomial equations factors and zeroes of polynomials.mp4
    25:21
  • 7 - References.pdf
  • 8 - References.pdf
  • 8 - Relation of zeroes with numerical coefficients of polynomials.mp4
    23:06
  • 9 - Geometrical representation of polynomials part 1.mp4
    14:37
  • 9 - References.pdf
  • 10 - Geometrical representation of polynomials part 2 and mathematical problems.mp4
    21:01
  • 10 - References.pdf
  • 11 - Mathematical operations on polynomials.mp4
    28:27
  • 11 - References.pdf
  • 12 - References.pdf
  • 12 - Remainder Theorem Factor Theorem Division Algorithm for polynomials.mp4
    34:44
  • 13 - HCF LCM and square root of polynomials.mp4
    13:44
  • 13 - References.pdf
  • 14 - Problems on polynomials Level 1 part 1.mp4
    30:25
  • 14 - Problems-of-polynomials-Level-1-and-2.pdf
  • 14 - References.pdf
  • 15 - Problems on polynomials level 1 part 2.mp4
    35:30
  • 15 - Problems-of-polynomials-Level-1-and-2.pdf
  • 15 - References.pdf
  • 16 - Problems on polynomials Leve 2 part 1.mp4
    16:21
  • 16 - Problems-of-polynomials-Level-1-and-2.pdf
  • 16 - References.pdf
  • 17 - Algebraic-formulas.pdf
  • 17 - Problems on polynomials Level 2 part 2.mp4
    32:39
  • 17 - Problems-of-polynomials-Level-1-and-2.pdf
  • 17 - References.pdf
  • 18 - Case study 1 polynomials.mp4
    04:27
  • 18 - Case-study-1-Polynomials.pdf
  • 18 - References.pdf
  • 19 - Case study 2 polynomials.mp4
    04:27
  • 19 - Case-Study-2-Polynomials.pdf
  • 19 - References.pdf
  • 20 - Case Study 3 polynomials.mp4
    03:51
  • 20 - Case-Study-3-Polynomials.pdf
  • 20 - References.pdf
  • 21 - Assertion and reasoningbased questions polynomials.mp4
    06:21
  • 21 - Assertion-and-Reason-based-questions-Polynomials.pdf
  • 21 - References.pdf
  • 22 - 2 Dimensional coordinate geometry mirror image of a point with respect to axes.mp4
    34:02
  • 22 - Coordinate-Geometry-Topics-covered.pdf
  • 22 - References.pdf
  • 23 - References.pdf
  • 23 - Slope intercept inclination and equations of straight lines.mp4
    32:05
  • 24 - Problems using point slope formula part 1.mp4
    22:50
  • 24 - References.pdf
  • 25 - Problem using point slope formula part 2.mp4
    29:38
  • 25 - References.pdf
  • 26 - References.pdf
  • 26 - Solving two linear equations graphically part 1.mp4
    12:51
  • 27 - References.pdf
  • 27 - Solving two linear equations graphically part 2.mp4
    30:09
  • 28 - Distance formula and mathematical problem.mp4
    24:52
  • 28 - References.pdf
  • 29 - Application of distance formula.mp4
    17:46
  • 29 - References.pdf
  • 30 - Internal section formula.mp4
    25:50
  • 30 - References.pdf
  • 31 - External section formula middle point formula point of trisection.mp4
    25:23
  • 31 - References.pdf
  • 32 - Mathematical problem on section formula.mp4
    04:39
  • 32 - References.pdf
  • 33 - Centroid incentre.mp4
    33:42
  • 33 - References.pdf
  • 34 - Incircle Circumcenter Circumcircle.mp4
    26:03
  • 34 - References.pdf
  • 35 - Orthocenter.mp4
    19:59
  • 35 - References.pdf
  • 36 - Excentre part 1.mp4
    34:09
  • 36 - References.pdf
  • 37 - Excentre part 2.mp4
    17:47
  • 37 - References.pdf
  • 38 - Mathematical problem on Centre of triangle.mp4
    28:22
  • 38 - References.pdf
  • 39 - Area of triangle problem on area of triangle.mp4
    29:55
  • 39 - References.pdf
  • 40 - Condition of collinearity area of quadrilateral and polygon.mp4
    22:22
  • 40 - References.pdf
  • 41 - Area of a plane enclosed by straight lines Interpolation extrapolation method.mp4
    30:43
  • 41 - References.pdf
  • 42 - References.pdf
  • 42 - Solving mathematical problem by interpolation and extrapolation method.mp4
    35:16
  • 43 - References.pdf
  • 43 - Solving word problem graphically.mp4
    36:36
  • 44 - Euler line.mp4
    09:58
  • 44 - References.pdf
  • 45 - Mathematical Problem level 1 part 1.mp4
    25:10
  • 45 - Problems-on-Coordinate-geometry-Level-1-and-Level-2.pdf
  • 45 - References.pdf
  • 46 - Coordinate-Geometry-Level-1-and-Level-2-Problems.pdf
  • 46 - Mathematical problems Level 1 part 2.mp4
    12:42
  • 46 - References.pdf
  • 47 - Mathematical problem level 2 part 1.mp4
    30:18
  • 47 - Problems-on-Coordinate-geometry-Level-1-and-Level-2.pdf
  • 47 - References.pdf
  • 48 - Mathematical problem level 2 part 2.mp4
    23:53
  • 48 - Problems-on-Coordinate-geometry-Level-1-and-Level-2.pdf
  • 48 - References.pdf
  • 49 - Mathematical problem level 2 part 3.mp4
    19:04
  • 49 - Problems-on-Coordinate-geometry-Level-1-and-Level-2.pdf
  • 49 - References.pdf
  • 50 - Case Study 1 Coordinate geometry.mp4
    16:46
  • 50 - Case-Study-1-Coordinate-geometry.pdf
  • 50 - References.pdf
  • 51 - Case study 2 Coordinate geometry.mp4
    02:40
  • 51 - Case-Study-2-Coordinate-geometry.pdf
  • 51 - References.pdf
  • 52 - Case study 3 Coordinate geometry.mp4
    07:06
  • 52 - Case-study-3-Coordinate-geometry.pdf
  • 52 - References.pdf
  • 53 - Assertion and reasoning based questions Coordinate geometry.mp4
    06:28
  • 53 - Assertion-and-Reason-based-queations-Coordinate-geometry.pdf
  • 53 - References.pdf
  • 54 - Linear-Equations-Topics-covered.pdf
  • 54 - References.pdf
  • 54 - Types of linear equations.mp4
    23:14
  • 55 - Methods of solving linear equations with one variable.mp4
    17:10
  • 55 - References.pdf
  • 56 - Cross Multiplication method word problem of linear equation with one variable.mp4
    17:21
  • 56 - References.pdf
  • 57 - References.pdf
  • 57 - Single linear equation with two variables solution and application.mp4
    21:38
  • 58 - Graphical representation linear equation with two variables pair of lines.mp4
    25:08
  • 58 - References.pdf
  • 59 - Pair of linear equations with two variables methods of finding solvability.mp4
    28:27
  • 59 - References.pdf
  • 60 - References.pdf
  • 60 - Types of pair of linear equation with two variables inconsistent pair of lines.mp4
    30:52
  • 61 - Consistent pair of linear equations with two variables.mp4
    33:48
  • 61 - References.pdf
  • 62 - Dependent pair of linear equations finding types of linear equations.mp4
    27:06
  • 62 - References.pdf
  • 63 - Methods of solving pair of linear equations with two variables.mp4
    24:19
  • 63 - References.pdf
  • 64 - References.pdf
  • 64 - Solving pair of linear equations with two variables by graphical method.mp4
    33:14
  • 65 - Mathematical problems level 1.mp4
    14:59
  • 65 - Problems-On-Linear-equations-Level-1-and-Level-2.pdf
  • 65 - References.pdf
  • 66 - Mathematical problems level 2.mp4
    21:30
  • 66 - Problems-On-Linear-equations-Level-1-and-Level-2.pdf
  • 66 - References.pdf
  • 67 - Case study 1 Linear equations.mp4
    08:16
  • 67 - Case-study-1-Linear-equations.pdf
  • 67 - References.pdf
  • 68 - Case study 2 Linear equations.mp4
    06:46
  • 68 - Case-Study-2-Linear-equations.pdf
  • 68 - References.pdf
  • 69 - Case study 3 Linear equations.mp4
    05:14
  • 69 - Case-Study-3-Linear-equations.pdf
  • 69 - References.pdf
  • 70 - Assertion and reasoningbased questions Linear equations.mp4
    05:09
  • 70 - Assertion-and-Reasoning-based-questions-Linear-equations.pdf
  • 70 - References.pdf
  • 1 - Test 1.html
  • 2 - Test 2.html
  • Description


    Thorough, Comprehensive Lectures with Examples and Cases for High School Students.

    What You'll Learn?


    • Variables, constants, coefficients, terms and degrees of polynomials.
    • Degrees, equations, factors, zeroes of polynomials.
    • Geometrical representation of polynomials.
    • Mathematical operations on Polynomials.
    • Zeroes and the relation of zeroes with numerical coefficients.
    • Remainder Theorem, Factor Theorem, Division Algorithm for Polynomials.
    • HCF, LCM and square root of polynomials.
    • 2D coordinate geometry, Mirror image.
    • Slope, Intercept, Inclination and equations of straight lines.
    • Point Slope formula.
    • Solving two linear equations graphically.
    • Distance formula and application of distance formula.
    • Internal section formula, external section formula, mid-point formula, point of trisection.
    • Deriving formula to calculate centroid, incentre, circumcenter, orthocenter and excentre of a triangle.
    • Derive a formula to calculate the area of a triangle from coordinate points of three vertices.
    • Condition of Collinearity.
    • Calculation of the area of the quadrilateral polygon from coordinate points of vertices.
    • Area of a plane enclosed by straight lines.
    • Interpolation and extrapolation method.
    • Solving word problems graphically.
    • Euler line.
    • Types of linear equations.
    • Methods of solving linear equations with one variable.
    • Single linear equation with two variables, their solution and applications.
    • Graphical representations of a single linear equation with two variables.
    • Pair of linear equations with two variables and methods to find their solvability.
    • Types of pair of linear equations with two variables- inconsistent, consistent and dependent pair of linear equations.
    • Methods of solving a pair of linear equations with two variables.
    • Solving a pair of linear equations with two variables by graphical method.

    Who is this for?


  • Current high school students. Anyone who wants to learn algebra and coordinate geometry.
  • What You Need to Know?


  • Some basic concepts of geometry and number system.
  • More details


    Description

    If you want to build a strong concept in very important topics like Polynomials, Linear equations, and Coordinate Geometry, this course will be helpful for you. I tried to implement different learning levels of Bloom's Taxonomy to improve your understanding, application, and analysis capability to solve basic to higher-order thinking problems. I solved enough mathematical problems, some case studies and assertion and reasoning-based questions to show you how to solve real-life problems by applying your learning and knowledge.

    The topics you will learn are:

    Variables, constants, coefficients, terms, degrees, zeroes and factors of polynomials.

    Relation of zeroes with numerical coefficients.

    Geometrical representation of polynomials.

    Mathematical operations on polynomials.

    Remainder theorem, factor theorem, division algorithm for polynomials.

    HCF, LCM and square root of polynomials.

    Cartesian coordinate geometry.

    Point slope formula, equations of straight lines.

    Solving two linear equations graphically.

    Distance formula, Internal section formula, external section formula, mid-point formula, point of trisection.

    Coordinate point of centroid, incentre, circumcenter, orthocenter and excentre of a triangle.

    Derive a formula to calculate the area of a triangle, quadrilateral and polygon from the coordinate points of three vertices.

    Condition of Collinearity.

    Interpolation and extrapolation method.

    Solving word problems graphically.

    Euler line.

    Types of linear equations.

    Methods of solving a single linear equation with one variable.

    Method of solving a single linear equation with two variables.

    Graphical representations of a single linear equation with two variables.

    Pair of linear equations with two variables and methods to find their solvability.

    Types of linear equations with two variables- inconsistent, consistent and dependent pair of linear equations.

    Methods of solving a pair of linear equations with two variables.

    Solving a pair of linear equations with two variables by graphical method.

    Case studies of the polynomial, coordinate geometry and linear equation chapters.

    Assertion and reasoning-based questions for polynomial, coordinate geometry and linear equation chapters.






    Who this course is for:

    • Current high school students. Anyone who wants to learn algebra and coordinate geometry.

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    Nabanita Mukherjee
    Nabanita Mukherjee
    Instructor's Courses
    Ms Nabanita MukherjeeI did my B.Pharm and M.Pharm from Department of Pharmaceutical Technology, Jadavpur University, Kolkata (India). I qualified for the West Bengal Joint Entrance Examination to do my B. Pharm and qualified in All India Graduate Aptitude Test in Engineering (GATE) with a rank of 147 to pursue my M.Pharm. I have worked as a faculty member in various Pharmacy colleges across India (West Bengal, Orissa, Maharastra). My total teaching and research experience is about 15 years. I also worked on a consultancy project in the Department of Biosciences and Bioengineering, IIT Bombay, Mumbai, India. I have authored a journal and a number of conference papers. I received a Mumbai University Minor research grant under the approved teacher category. My specific areas of research interest are Nanoparticulate Drug Delivery Systems, Advanced Cosmeceuticals and Nutraceuticals.I am passionate about mathematics and have given priority throughout my academics. I wish to help young students from middle to high school to build a strong concept in mathematics. I discussed every topic in detail so that students could understand important concepts thoroughly and can apply that concept to solve medium to higher-order thinking problems.
    Students take courses primarily to improve job-related skills.Some courses generate credit toward technical certification. Udemy has made a special effort to attract corporate trainers seeking to create coursework for employees of their company.
    • language english
    • Training sessions 70
    • duration 23:52:29
    • Release Date 2024/03/12