Learning Resources

πŸ“Š Statistics Resources

Explore these resources to enhance your understanding of statistical concepts and methods.

Hypothesis Testing in R (R Code Examples)

This interactive resource presents one-sample and two-sample hypothesis testing examples in R. Covers raw-data and summary statistics examples for Z-tests, T-tests, pooled and unpooled (Welch's) two-sample tests, paired tests, and non-parametric tests. Designed for beginners in R-programming in an introductory probability and statistics course.

Format: Interactive HTML (Hosted on GitHub)

View Hypothesis Testing R Code

Descriptive Measures Overview

A concise overview of key descriptive statistics, including mean, median, mode, and standard deviation.

Format: Overview Image

Chi-Square Test Overview

Introduction to the Chi-Square test, its applications, and how to interpret results.

Format: Overview Image

Normal Distribution Lecture Notes (with R Code)

Comprehensive lecture notes on the normal distribution, including properties, applications, and R code examples for analysis.

Format: Lecture Notes (PDF)

πŸ“₯ Download PDF

Hypothesis Testing & Confidence Intervals for Proportions

Beginner-friendly, step-by-step lecture notes on statistical inference for population proportions. Covers confidence intervals, margin of error, sample size calculation, and hypothesis testing for one and two proportions. Includes R code examples and real-world interpretation tips.

Format: Interactive HTML

πŸ–₯️ Open Lecture Notes

Linear Regression Lecture Notes

Clear, beginner-focused lecture notes explaining simple linear regression concepts, interpretation of slope, intercept, R-squared, and hypothesis testing in regression, with R examples.

Format: Interactive HTML

πŸ–₯️ Open Lecture Notes

Chi-Square Test Lecture Notes

Lecture notes on the Chi-Square tests for independence and goodness-of-fit with R-code examples.

Format: Interactive HTML

πŸ–₯️ Open Lecture Notes

Analysis of Variance (ANOVA) with R Examples

Comprehensive guide to One-Way ANOVA including F-distribution theory, assumptions checking, implementation in R, and post-hoc analysis using Tukey's HSD. Features interactive visualizations and real-world examples.

ANOVA R Code Interactive Lecture Notes

Format: Interactive HTML with R Code

πŸ“Š Open ANOVA Guide

πŸ“– Calculus & Algebra Resources

Dive into these calculus and algebra resources to strengthen your skills and explore key concepts.

Chain Rule & Higher Order Derivatives (Interactive)

Interactive web-based activity designed to help students learn and practice differentiation rules through group discussion and collaboration.

Format: Interactive HTML

πŸ–₯️ Open Interactive Activity

Constrained Optimization with Lagrange Multipliers (Interactive)

Interactive web activity for solving constrained and unconstrained optimization problems using the method of Lagrange multipliers.

Format: Interactive HTML

πŸ–₯️ Open Optimization Activity

Interactive Conic Sections Mind Map (Algebra 2)

Master Conic Sections visually through an interactive mind map covering parabolas, circles, ellipses, and hyperbolas, with clear equations and focus on properties like foci, vertices, and asymptotes.

Format: Interactive HTML Mind Map

πŸ—ΊοΈ Explore Mind Map
Click nodes to expand/collapse. If math doesn't render, please refresh or check settings.

Sequences & Series: Convergence Tests (AP Calculus BC)

Interactive resource explaining sequence and series convergence tests including nth term, ratio test, root test, comparison tests, and more with examples.

Format: Interactive HTML

πŸ–₯️ Explore Convergence Tests

✨ Applied Mathematics

Discover the practical applications of mathematics in various fields.

Mathematics in Animation: A Demonstration

Video demonstration showing how high school-level mathematics can be used to create simple computer animations. Based on the special topics course taught at the University of Memphis.

Format: Video

Interactive Trigonometric Function Grapher: Sine & Cosine

Explore sine and cosine functions by adjusting amplitude, period, phase shift, and vertical shift parameters. Visualize how each parameter affects the graph and learn key characteristics.

Format: Interactive HTML

πŸ–₯️ Explore Trigonometric Functions