Problems with parameters

Problems with parameters, available at Free, has an average rating of 5, with 17 lectures, based on 3 reviews, and has 414 subscribers.

You will learn about 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 This course is ideal for individuals who are High school students, mathematics teachers, anyone curious about mathematics It is particularly useful for High school students, mathematics teachers, anyone curious about mathematics.

Enroll now: Problems with parameters

Summary

Title: Problems with parameters

Price: Free

Average Rating: 5

Number of Lectures: 17

Number of Published Lectures: 17

Number of Curriculum Items: 17

Number of Published Curriculum Objects: 17

Original Price: Free

Quality Status: approved

Status: Live

What You Will Learn

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

Who Should Attend

High school students, mathematics teachers, anyone curious about mathematics

Target Audiences

High school students, mathematics teachers, anyone curious about mathematics

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:

Analytical method.

You will learn about:
- 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
Graphical method.

You will learn about:
- 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
Functional method.
You will learn about:
- monotonous functions
- limited functions
- evenodd 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.

Course Curriculum

Chapter 1: Introduction

Lecture 1: Introduction

Lecture 2: What's this course about?

Lecture 3: What is a problem with parameters?

Lecture 4: What will you learn?

Chapter 2: Analytical solutions

Lecture 1: Linear equations with parameters

Lecture 2: Systems of linear equations

Lecture 3: Linear inequalities

Lecture 4: Quadratic equations

Lecture 5: Using Vieta's formulas

Lecture 6: Signs of the roots

Lecture 7: Quadratic inequalities

Lecture 8: Conditions on a segment

Lecture 9: Nailing theorem

Lecture 10: Position of roots of quadratic equations 1

Lecture 11: Position of roots of quadratic equations 2

Lecture 12: Position of roots of quadratic equations 3

Lecture 13: Roots in the interval

Instructors

Aybulat Abdullin
Math teacher

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5 stars: 3 votes

Frequently Asked Questions

How long do I have access to the course materials?

You can view and review the lecture materials indefinitely, like an on-demand channel.

Can I take my courses with me wherever I go?

Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don’t have an internet connection, some instructors also let their students download course lectures. That’s up to the instructor though, so make sure you get on their good side!

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