Algebraic Word Problem
Understanding how logarithmic scale is different from linear scale and why it could be useful
Logarithm of a Power
Intro to logarithms. Learning that logarithms are just a way of expressing "the exponent that you have to raise a base to to get another number"
This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.
Math 111 explores relations and linear, quadratic, exponential, polynomial, rational, and logarithmic functions. It includes the theory of equations, matrices, and determinants.
Course Outcomes:
1. Interpret graphical information, such as identifying types of functions, translations, inverses, intercepts, and asymptotes.
2. Solve a variety of symbolic equations and inequalities, such as rational, absolute value, exponential, radical, logarithmic, and linear systems.
3. Construct appropriate models for real world problems, such as fitting an algebraic function model to a set of data, and system of linear equations.
Students apply high school-level differential calculus and physics to the design of two-dimensional roller coasters in which the friction force is considered, as explained in the associated lesson. In a challenge the mirrors real-world engineering, the designed roller coaster paths must be made from at least five differentiable functions that are put together such that the resulting piecewise curving path is differentiable at all points. Once designed mathematically, teams build and test small-sized prototype models of the exact designs using foam pipe wrap insulation as the roller coaster track channel with marbles as the ride carts.
Using matrices to figure out if some combination of 2 vectors can create a 3rd vector
Showing that matrix products are associative
Defining and understanding what it means to take the product of a matrix and a vector
Matrix Vector Products as Linear Transformations
This video is from the Khan Academy subject of Math on the topic of Algebra and it covers Matrix addition and subtraction.
Students obtain a basic understanding of microfluidic devices, how they are developed and their uses in the medical field. After conducting the associated activity, they watch a video clip and learn about flow rate and how this relates to the speed at which medicine takes effect in the body. What they learn contributes to their ongoing objective to answer the challenge question presented in lesson 1 of this unit. They conclude by solving flow rate problems provided on a worksheet.
Midpoint Formula
Mixture problems 2
Mixture problems 3
Monomial Greatest Common Factor
More multiplying polynomials
More on Matrix Addition and Scalar Multiplication
More examples determining linear dependence or independence.