Linear algebra, A journey through quadratic and linear equations.
Course Description
Introduction to Linear Equations:
Graphing linear equations
Learn how to graph a linear equation using tabular method to find the coordinates and then plot the points on the graph.
Solving systems of linear equations using various methods (graphical, substitution, and elimination).
A pair of linear equations can be solved by substitution, elimination and graphical method.
Exploring Quadratic Equations:
Defining quadratic equations and recognizing their standard form ax2+bx+c=0
then applying the quadratic formula and discriminant formula to find the roots of the equation and nature of the roots.
Learning methods for solving quadratic equations: factoring, completing the square, and the quadratic formula.
various methods to solve a quadratic equation will help to learn algebra in the detailed manner.
Analyzing the discriminant to determine the nature of the roots.
Learning Outcomes:
By the end of the course, students will be able to:
Accurately identify and represent linear and quadratic equations in various forms.
Graph and interpret linear equations.
Solve linear and quadratic equations using appropriate methods.
Prepare for future mathematical studies with confidence in their foundational knowledge.
Join me on this educational adventure as we navigate through the realms of linear and quadratic equations, equipping you with the tools to excel in mathematics and beyond!
