 # Precalculus Math Course

Precalculus math course offers to you all the topics including Trigonometry, Matrices, Determinants, and more.
• Course Join Only Start Date
• Level : Beginner
• Taught In: Hindi, English

## COURSE DETAILS

1. Functions

• *Introduction to function

• *The difference in relation and function

• *Real and real valued functions

• *Type of functions as the identity function

• *Constant function, Polynomial function, Rational function, Modulus function, Signum function, Greatest Integer function, Domain, and range of functions

• *Addition, subtraction, multiplication, and division of functions.

1. *Inequality

• *Introduction to inequality in one and two variables

• *Difference between an equation and inequality

• *solution of a linear inequality in one variable

• *Rules to solve a linear inequality

• *Graphical solution of a linear inequality in two variables

• *Word problems as application.

2. *Matrices and Determinants

• *Introduction to the matrix,

• *Order of a matrix general and compact form of a matrix, type of matrices as row matrix, column matrix, square matrix, scalar matrix, diagonal matrix, Identity matrix and zero matrices, negative of a matrix, equal matrices, scalar multiple of a matrix

• *Addition and subtraction of matrices and their properties, Multiplication of matrices and their properties, some important results on multiplication of matrices, application type problems on matrices

• *Transpose of a matrix, properties of transpose, symmetric and skew-symmetric matrix, a theorem on symmetric and skew-symmetric matrix, Invertible matrix, elementary operation of the matrix

• *To find the inverse of a matrix by elementary row or column operation,

• *Introduction to the determinant

• *Determinant of a matrix of order 1, 2, and 3, properties of determinants and their applications to solve complicated determinants

• *Area of a triangle in a plane using determinant, condition of collinear points

• *Minor and cofactor of a Determinant, properties of cofactors,

• Singular and nonsingular matrix, determinant of the product of matrices

• *Adjoint of a matrix, a theorem on Adjoint of matrix and some important conclusion, the inverse of a matrix by Adjoint,

• *Application of inverse of a matrix in solving simultaneous linear equations in 3 variables, trivial solution, a consistent and inconsistent system of linear equations, application problems on linear equations.

3. *Difference quotient or Derivative

• *Introduction to difference quotient of a real function,

• *The first principle rule to find the difference quotient of a function

• *To find the difference quotient of some function by first principal, Algebra of the difference quotient, Direct formula to find difference quotient of various functions,

• *Chain rule to find the difference quotient pf a function, Difference quotient of various functions-Implicit functions, logarithmic and exponential functions

• *Application of log to find difference quotient, difference quotient of parametric functions, difference quotient of one function with respect to another

• *To find the higher-order difference quotient of a function.

4. *Exponential and logarithmic functions

• *Introduction to exponential form and exponential functions,

• *Exponential function with general and natural base

• *Graph of the exponential function

• *Logarithmic function as a modified form of exponential function with general and natural base

• *The graph of a logarithmic function.

5. *Trigonometry

• *Measurements of angles, degree measure, and radian measure of angles and their relationship

• *Simple application problem

• *Introduction to trigonometric functions of real numbers, a sign of trigonometric functions

• *Value of trigonometric functions at allied angles, Periodic function, and periodicity of trigonometric functions,

• *Trigonometric functions of sum or difference of two angles, trigonometric functions of multiple of angles, half angles formula

• *Identities to transform product of angles into sum or difference of two angles

• *Identities to transform sum or difference of angles into the product

• *Concept of trigonometric equations, principal and general solution of trigonometric equations.

FAQ

## TIMING

Offers Flexible Date & Time (Pick Multiple)

## Whats Included ?

Total Classes In Package
12 Classes
No of Days To Complete Package
2 Days
Max Class Per Week
6 Classes
Class Duration
60 minutes
Max Capacity
1 Paxs
This Trigonometry batch covers all the subtopics of Trigonometry. The students will get personal attention and one on one coaching.