Mathematics: Completing the square

Mathematics: Completing the square, available at Free, has an average rating of 4.87, with 12 lectures, based on 164 reviews, and has 6613 subscribers.

You will learn about Completing the square: how it is done and why the method works (variants for 1, 2, and 3 variables); a geometric illustration of the method and its name. Completing the square in one variable for solving quadratic equations with help of the discriminant and the quadratic formula; derivation of the formula. Completing the square in one variable for plotting polynomials of second degree with help of graph transformations of the parabola y=x^2; finding new vertex. Completing the square in two variables, one at a time, for identifying conic sections: circles, ellipses, parabolas, and hyperbolas. Completing the square in three variables, one at a time, for identifying quadric surfaces: spheres, ellipsoids, hyperboloids, double cones, etc. Completing the square in two or three variables for definiteness of 2×2 or 3×3 matrices / corresponding quadratic forms in 2 or 3 variables. This course is ideal for individuals who are High school students who want to learn the method of completing the square and who are curious about its applications in university topics. or University or college students who have discovered that they need the method of completing the square for some university level courses, and they want to re-learn this method. or Everybody who wants to learn a remarkable but elementary method, which has surprisingly many applications in various advanced branches of mathematics. It is particularly useful for High school students who want to learn the method of completing the square and who are curious about its applications in university topics. or University or college students who have discovered that they need the method of completing the square for some university level courses, and they want to re-learn this method. or Everybody who wants to learn a remarkable but elementary method, which has surprisingly many applications in various advanced branches of mathematics.

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Summary

Title: Mathematics: Completing the square

Price: Free

Average Rating: 4.87

Number of Lectures: 12

Number of Published Lectures: 12

Number of Curriculum Items: 12

Number of Published Curriculum Objects: 12

Original Price: Free

Quality Status: approved

Status: Live

What You Will Learn

• Completing the square: how it is done and why the method works (variants for 1, 2, and 3 variables); a geometric illustration of the method and its name.
• Completing the square in one variable for solving quadratic equations with help of the discriminant and the quadratic formula; derivation of the formula.
• Completing the square in one variable for plotting polynomials of second degree with help of graph transformations of the parabola y=x^2; finding new vertex.
• Completing the square in two variables, one at a time, for identifying conic sections: circles, ellipses, parabolas, and hyperbolas.
• Completing the square in three variables, one at a time, for identifying quadric surfaces: spheres, ellipsoids, hyperboloids, double cones, etc.
• Completing the square in two or three variables for definiteness of 2×2 or 3×3 matrices / corresponding quadratic forms in 2 or 3 variables.

Who Should Attend

• High school students who want to learn the method of completing the square and who are curious about its applications in university topics.
• University or college students who have discovered that they need the method of completing the square for some university level courses, and they want to re-learn this method.
• Everybody who wants to learn a remarkable but elementary method, which has surprisingly many applications in various advanced branches of mathematics.

Target Audiences

• High school students who want to learn the method of completing the square and who are curious about its applications in university topics.
• University or college students who have discovered that they need the method of completing the square for some university level courses, and they want to re-learn this method.
• Everybody who wants to learn a remarkable but elementary method, which has surprisingly many applications in various advanced branches of mathematics.