Class 12 math(India)
author
ZenithDiksha_1
Course Description
Relations and functions
composite function
Intro to inverse function
verifying inverse functions by composition
Invertible function
Inverse trigonometric functions
Intro to inverse trigonometric function
Matrices
Introduction to matrices
Adding and subtracting matrices
Multiplying matrices by scalars
Properties of matrices addition and scalar multiplication
Multiplying matrices by matrices
properties of matrix multiplication
Transfer of a matrix
Elementary matrix row operation
Invertible matrix
Inverse of matrix by elementary operation
Determinants
Determinants
Properties of determinants
Adjoint and inverse of matrix using minor and confactors
solving equation with inverse matrices
Continuity & differentiability
continuity at a point
Review: Limits of combine &composite function
Continous function
Review: Intermediate value theorem
Differentiablility
Review: differentiation basics
product rule
Quotient rule
chain rule
Review: Produc, quotient& chain rule
Rational function differentiation
Radical function differentiation
Trigonometric function differentiation
Exponential function differentiation
Logarithmic function differentiation
Derivatives capstone
Advanced differentiation
Implicit differentiation introduction
Implicit differentiation (advance example)
Inverse trig function differentiation
Derivatives of inverse function
Disguised function
Proof for the derivatives ex and In(x)
Logarithmic differentiation
Review: Advance differentiation
Higher -order derivatives
Mean value theorem
Playing with graphs (using differentiation)
Critical point
Increasing and decreasing intervals
Relative minima and maxima
Absolute minima and maxima
Review : increasing/decreasing interval & extrema
Concavity
Point of inflection
Sketching graph using calculus
Review : concavity & points of inflection
Applications of derivatives
Approximations
Related rates
Tangent and normal
Optimization
Applied rate of change
L’ Hospital’s rule
Review: Derivative and applications
Indefinite Integrals
Antiderivatives
Indefinite integrals intro
Indefinite integrals of common function
Review: Indefinite integrals of common function
Integrative by parts
u-subsititution
Reverse chain rule
partial function expansion
Integration using trigonometrix
Trignometric Substitutuion
Definite Integrals
function defined by triangle
Fundamental theorem of calculus
fundamental theorem of calculus : chain rule
Definite integral as area
Definite integral properties
Review : Definite integral basics
Definition integral evaluation
Definite integrals of piecewise function
challenging definite integrals
Improper integrals
Riemann Sums
Trapezoidal rule
Definite integral as the limit of a rimann Sum
Review : rimann sums
Application of integrals
Area under Simple curve
Area between two curve
Area define by polar curve
Differential equations
Intro to differentiate equation
Separable equation
homogenous equation
Exact equality and integrating factor
Vector algebra
vector basics
Magnitude and direction of vector
Dot product of vector
Cross product of vector
Three dimensional geometry
Direction cosines and direction ratio of a live
Equation of a line
Angle between two lines
Shortest distance between two lines
Equation of a planes
coplanarity of two lines
Angle between two planes
distance of a point from a plane
Line and planes
Advance topic in planes
Probability
conditional probability and independence
Discrete random variable
Binomial random variable
Binomial mean and standard deviation formulas
more or expected value
COURCE CHALLENGE
Test your knowledge of the skills in this course. Have a test coming up? The Course challenge can help you understand what you need to review.
There are no reviews yet.