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Part III

Analytic Geometry and System Solving

In this part . . .

The term analytic geometry usually means drawing out a shape or an equation to study it more deeply. This part starts with the set of complex numbers and explains how to perform operations with them and, yes, how to graph them. It then moves on to the new system of graphing known as polar coordinates. Conic sections finish up analytic geometry as we show you how to graph and examine the parts of circles, parabolas, ellipses, and hyperbolas.

Next we move on to solving systems of equations. We cover the old favorites of graphing, substitution, and elimination. Then we introduce the idea of a matrix and explain several ways to solve a system using matrices.

After that, we move on to sequences and series: how to find the term in any sequence as well as how to find the sum of certain types of series. Lastly, we bridge to calculus with the study of limits and continuity of functions.

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