Vectors and Basic Mathematics

IIT-JEE · Class 11 · Physics

Your batch

Your LessonWhiz guarantee

Try the class. If it isn't right, we'll make it right — another class with another teacher, or your money back.

What’s covered

  • topics
    • Elementary Algebra
      • common formulae
      • polynomial linear and quadratic equations
      • binomial theorem and expansion
    • Elementary Trigonometry
      • angles and systems of measurement
      • four quadrants and sign conventions
      • limits of trigonometric ratios
      • graphs of sine and cosine
      • important trigonometric formulae
      • reduction formulae for general angles
      • inverse trigonometric functions
      • sine and cosine rules for triangles
    • Basic Coordinate Geometry
      • origin and axes
      • position of a point
      • distance formula
      • slope of a line
      • straight line equations
      • dependent and independent variables
      • plotting velocity–time relations
    • Parabola and Quadratic Equations
      • shape of the parabola and physics applications
    • Differentiation
      • limit of a function
      • derivative of a function
      • graphical representation of derivative
      • defining instantaneous velocity and acceleration
      • properties of derivatives
      • derivatives of power sine and cosine
      • product rule
      • quotient rule
      • chain rule
      • double differentiation
      • applications of derivative in physics
      • maximum and minimum values
    • Elementary Integration
      • integration as inverse of differentiation
      • standard formulae for integration
      • definite integral
      • algebraic method to evaluate definite integral
      • properties of definite integral
      • substitution method
      • geometrical significance
    • Applications of Integration
      • deriving equations of motion by calculus
      • graphical interpretation of integration
    • Vectors and Scalars
      • definitions and distinction
    • Representation of Vectors
      • notation and geometric representation
    • Addition of Vectors
      • triangle law
      • parallelogram law
      • polygon law
      • subtraction of vectors
      • properties of vector addition
    • Analytical Method of Vector Addition
      • magnitude and direction of the resultant
    • Unit Vectors
      • i j k notation and use
    • Components of a Vector
      • rectangular x and y components
      • writing a vector from its components
      • rectangular components in three dimensions
      • addition of vectors by means of components
      • direction cosines
    • Position and Displacement Vectors
      • definitions and applications
    • Scalar (Dot) Product
      • definition and properties
      • dot product of unit vectors
    • Vector (Cross) Product
      • definition and properties
      • cross product of unit vectors and physical applications