12 Grade Math
Welcome to 12 grade math!!!!
11th grade math is a foundation for 12th grade math. Some of the topics which you have studied in 11th grade the same topics are repeated in 12th grade-math but in details. ask-math describes the what the student are going to learn in this grade. Some topic introduction and to learn these topics step by step, there are links given at the bottom.
ask-math has already introduces this topic in 11th grade math. Now in the 12th grade, ask-math teaches you about the Cartesian products of the sets, different types of relations.
In this chapter ask-math explains you about various types of functions, composition of functions and inverse of a function.
Inverse trigonometric functions :
In this chapter, you will learn the inverses of all trigonometric functions and to study their properties.
Algebra of matrices :
In this section you will learn the operations on matrices such as addition, subtraction and multiplication of matrices.
Every square matrix can be associated to an expression or a number which is known as its determinant.
Continuous function is a function for which sufficiently small changes in the input result in random small changes in the output if not then the function is said to be a discontinuous function.
Let f(x) be a real valued function whose derivative exists at each point in its domain.
Mean value theorems :
Let f be a real valued function defined on the interval [a,b] such that the function is continuous at [a,b] , differentiable on (a,b) and f(a)= f(b).
Tangents and Normals :
In this section you will learn how to find the gradient of the curve.
Application of derivatives:
In this section you will learn Increasing and decreasing functions and Maxima and Minima.
Under this section , you will learn indefinite and definite integrals.
Application of intergrals:
Here you will learn how to find the area under the simple curve and area between the two curves.
12 grade math links
Cartesian product of sets
Reflexive relation on set
• Limits and continuity
Introduction to Limits
Finding limits numerically
finding limits graphically
Limits that fail to exist
Formal definition of Limits
Properties of Limits
Evaluate the limit by direct substitution
Limits of trigonometric functions
Finding limits by factorization method
Finding limits by rationalizing method
Calculus Squeeze theorem
Continuity of a function
Greatest integer function
Intermediate Value theorem
Introduction of derivatives
Derivatives of a function
Differentiability and Continuity
Derivative of a constant function
Power rule for derivatives
Constant Multiple Rule for derivatives
Sum and difference rules for derivatives
Derivative of trigonometric function
Product rule for differentiation
Quotient rule for differentiation
Chain rule for differentiation
Derivative of exponential function
Differentiation of logarithmic function
Derivative of bases other than e
Derivatives of inverse trigonometric functions
Finding Related rates
Extreme value theorem
Relative minimum and maximum
Mean Value Theorem
Increasing and Decreasing functions
Second Order Derivatives
concavity of function
Point of inflection
Limits at Infinity
Analyzing Graph of function
Introduction to Optimization
Newon's method for approximating function
Tangent line approximation
Power rule of Integration
Properties of Integration
Integration of trigonometric functions
Integration by U-substitution
Integration of Logarithmic function
Integration by parts
12th grade math