This course provides a broad theoretical basis for system identification, estimation, and learning. Students will study least squares estimation and its convergence properties, Kalman filters, noise dynamics and system representation, function approximation theory, neural nets, radial basis functions, wavelets, Volterra expansions, informative data sets, persistent excitation, asymptotic variance, central limit theorems, model structure selection, system order estimate, maximum likelihood, unbiased estimates, Cramer-Rao lower bound, Kullback-Leibler information distance, Akaike's information criterion, experiment design, and model validation.

This short video and interactive assessment activity is designed to teach fourth graders about selecting the quotient using given statements.

This short video and interactive assessment activity is designed to teach fifth graders about selecting the quotient with the correct number of digits.

This short video and interactive assessment activity is designed to teach second graders about selecting the incorrect subtraction sentence (numbers up to 20).

This is a video and assessment exercise aimed at helping first graders identify incorrect subtraction.

This course features a video review and an interactive assessment activity for selecting the correct addition sequence. It is aimed at first graders.

This short video and interactive assessment activity is designed to teach second graders about selecting the correct addition sentence.

This short video and interactive assessment activity is designed to teach fourth graders about identifyinging common factors.

This short video and interactive assessment activity is designed to teach fifth graders about visually finding weight in compound units.

This short video and interactive assessment activity is designed to give fourth graders an overview of metric units of weight.

This short video and interactive assessment activity is designed to give fourth graders an overview of comparison of weights (metric units).

This short video and interactive assessment activity is designed to give fifth graders an overview of comparison of weights (metric units).

In this task students use algebraic methods to determine whether each of the functions is odd, even, or neither.

This task emphasizes the expectation that students know linear functions grow by constant differences over equal intervals and exponential functions grow by constant factors over equal intervals.

Gait analysis is the study of human motion that can be utilized as biometric information or identification, for medical diagnostics or for comparative biomechanics. In this activity, students observe walking human subjects and then discuss parameters that could be used to characterize walking gaits. They use accelerometers to collect and graph acceleration vs. time data that can help in gait analysis—all part of practicing the engineering data analysis process. Students complete this activity before learning the material presented in the associated lesson.

The goal of this task is to get students to focus on the shape of the graph of the equation y=ex and how this changes depending on the sign of the exponent and on whether the exponential is in the numerator or denominator. It is also intended to develop familiarity, in the case of f and k, with the functions which are used in logistic growth models, further examined in ``Logistic Growth Model, Explicit Case'' and ``Logistic Growth Model, Abstract Verson.''

The goal of this task is to work on finding multiples of some whole numbers.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This short video and interactive assessment activity is designed to teach fourth graders about identifyinging prime or composite numbers.