Scott Van Bramer |
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A Brief Introduction to the Gaussian Distribution, Sample Statistics, and the Student's t Statistic
Scott Van Bramer, Widener University |
This document provides students with an brief introduction to the gaussian distribution, sample statistics, and the student's t statistic. It was designed for quantitative analysis, instrumental analysis, and physical chemistry courses. | |

An Introduction to NMR Concepts
Scott Van Bramer, Widener University |
Mathcad introduction to NMR concepts. Acquisition parameters of the instrument, the basis of quadrature detection, apodization, and zero filling are discussed. | |

An Introduction to the Fourier Transform
Scott Van Bramer, Widener University |
This document simultaneously introduces students to how the Fourier transform works and how various instrument parameters affect the results of the Fourier transform. Waveforms are produced and integrated using sine waves, cosine waves, and simple functions. The fast Fourier transform is used with simulated data to introduce students to the relationship between the signal waveform and the signal frequency of a spectrum. Students are then led to the concepts of dwell time and resolution through a series of interactive exercises. The document ends with an introduction to the Fourier transform of decaying signals. Students and teachers may use IntroFourierTransform.mcd as written, or teachers may remove some graphs to increase discovery learning and class discussion. | |

Studies in FT-IR
Scott Van Bramer, Widener University |
This is a collection of six documents that can be used to teach and learn the basic concepts of FT-IR. ft_notes.mcd, provides an introduction to FT as a lecture handout or interactive student activity. In ft_01_6.mcd students study the parameters that affect resolution and spectral width. ft_02_06.mcd shows how two frequency components add to give a beat pattern. ft_03_6.mcd shows how cosine and sine waves describe the frequency and phase of a signal. In ft_04_6.mcd students examine the effect of an exponential decay in the time domain and frequency domain. The entire series of documents is summarized in ft_05_6.mcd which contains large fonts and no explanatory text and is designed for use in class lectures. |