# Problems with parameters

Analytical, graphical and functional methods of solving problems with parameter
Free tutorial
Rating: 5.0 out of 5 (3 ratings)
400 students
59min of on-demand video
English
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Understand basic mathematics deeper
Master solving all kinds of problems with parameters
Find interesting and complex problems to make your math lessons better
Challenge your mind with some of the most tricky and neat problems of basic mathematics

## Requirements

• Anyone who knows basic mathematics can take this course. It doesn't require any special knowledge.

## Description

This course will challenge your knowledge in high-school mathematics. You will learn new ways of solving problems with parameter and comparing ways of solving these problems and choosing the best one.

This course is first of all made for school and university teachers and technical university students, but anyone who wants to put their knowledge of basic mathematics in systematic order can take it.
The course covers three main ways of solving problems with parameter:

1. Analytical method.

• linear equations and inequalities with parameter

• systems of linear equations and inequalities with parameter

• rational equations and inequalities with parameter

• quadratic equations and inequalities with parameter

• theorems about positions of the roots of quadratic equations and inequalities with parameter

• problems reducible to quadratic equations and inequalities with parameter

2. Graphical method.

• graphs of linear, quadratic, rational, modular, irrational, exponential, logarithmic and trigonometric functions

• transformations of graphs of functions

• graphs of equations and inequalities

• using graphs as a visualisation tool to solve problems with parameter

3. Functional method.

• monotonous functions

• limited functions

• even\odd functions

• using properties of functions to solve problems with parameter

In conclusion you will face some problems solvable in every mentioned way and learn to compare different ideas and choose the one that fits the best for every unique situation.

## Who this course is for:

• High school students, mathematics teachers, anyone curious about mathematics

## Instructor

Math teacher
• 5.0 Instructor Rating
• 3 Reviews
• 400 Students
• 1 Course

Math teacher from Russia
MIPT alumnus (Moscow institute of physics and technology)
Speaker at Umschool (one of the biggest online schools in Russia)
USE expert (unified state exam - state exam in Russia that school graduates take to enroll in universities. Consists of two parts: a test like SAT and a written part that requires a written solution that experts will evaluate)