Academic Math

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

__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.

*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.

*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.

*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.

*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.

*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.

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FAQ

Yes. Our expert offers flexible days and time.

Trigonometry, Functions, Matrices and Determinants, Inequality,Exponential,Derivative. rest details are mention in the Course details.

Functions

Matrices and determinants

Inequality

Exponential and logarithmic functions

Difference quotient or Derivative

Offers Flexible Date & Time (Pick Multiple)

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.