# Precalculus, Semester B

• Date created

June 30, 2020

• Last updated

July 8, 2020

# Course Overview

Precalculus encompasses the rudiments of calculus, analytical geometry, and
trigonometry. In Precalculus B, you will explore and build your knowledge of conic
sections, matrices, sequences, induction, and probability and apply this knowledge to
real-world situations. You will also study basic concepts of calculus, such as the limits of
a function and area under the curve.

# Course Goals

Understand the conic section while exploring parabolas, ellipses, hyperbolas, and circles
and their graphs.
Use Cavalieri’s principle to derive formulas for spheres, cylinders, and other solid figures.
Solve systems of linear equations with two or three variables using Gauss-Jordan elimination.
Identify and perform addition, subtraction, and multiplication on matrices.
Compute the determinant of a matrix.
Solve systems of linear equations using an inverse matrix.
Use matrices to transform vectors in a plane.
Calculate the expected value of a random variable and interpret it as the mean of the
probability distribution.
Develop a probability distribution for a random variable defined for a sample space in which
you can calculate probabilities empirically or theoretically and find the expected value.
Weigh the possible outcomes of a decision by assigning probabilities to payoff values and
finding expected values.
Explore limits and techniques used to find the limit of a function.
Explore tangent lines and area under curves.

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## Dolphin STEM

Inspiring passions in STEM.  Educating a new generation.