# Course Vitals **Description**: An introduction to modeling and communication in mathematics. A writing intensive course providing a transition from the core math sequence to the upper division AMS curriculum. Topics include a variety of mathematical and statistical modeling techniques. Students will formulate and solve applied problems and will present results orally and in writing. In addition, students will be introduced to the mathematics software that will be used in upper-division courses. Prerequisite: MATH201, MATH213, MATH225; CSCI128. - **Course Student Learning Outcomes**: - General: - Formulate and investigate mathematical and statistical models - Identify multiple types of models and techniques - Communicate the results of a modeling study in writing and orally - Specific: - Define the process of mathematical modeling and highlight specific examples judged to be relevant to applied mathematics and/or statistics.  - Deconstruct and annotate developed mathematical models for the purposes of summarizing and explaining their assumptions, methods, and conclusions.  - Collaborate with others to choose, build and defend mathematical models based on arguments associated with their validity and commentary on their real-world applicability. - Review, extend and contextualize pre-requisite coursework # Lecture Notes With the transcript and pdf of the boards, the following notes were created through GenAI. - [[MATH310S26-Day1-Notes]] - [[MATH310S26-Day2-Notes]] - [[MATH310S26-Day3-WorkdayMaterials (Two-by-two matrices, normal equations, and ordinary least squares)]] - [[MATH310S26-Day4-Notes]] - [[MATH310S26-Day5-Notes]] - [[MATH310S26-Day6-Work]] - [[MATH310S26-Day7-Notes]] - [[MATH310S26-Day8-Notes]] - [[MATH310S26-Day9-Modeling Discussions]] - [[MATH310S26-Day10-Notes]] - [[MATH310S26-Day11-Notes]] - [[MATH310S26-Day12-Notes]] - [[MATH310S26-Day13-WorkdayMaterials (Fourier regression and seasonal decomposition)]] - [[MATH310S26-Day14-Notes]] - [[MATH310S26-Day15-Notes]] - [[MATH310S26-Day16-WorkdayMaterials (FFT and frequency discovery)]] - [[MATH310S26-Day17-Notes]] - MATH310S26-Day18-Notes (Student Presentation on modeling whale movement in noisy acoustic environments - Notes in progress) - [[MATH310S26-Day19-WorkdayMaterials (Convolution theorem and RC filtering)]] - [[MATH310S26-Day20-Notes]] - [[MATH310S26-Day21-Notes]] - [[MATH310S26-Day22-WorkdayMaterials (Cross-correlation and signal detection)]] - [[MATH310S26-Day23-Notes]] - [[MATH310S26-Day24-Notes]] - [[MATH310S26-Day25-Notes]] - [[MATH310S26-Day26-Notes]] # Topical Materials - [[Notes-on-Stochastic-Differential-Equations]] - [[Random-Walks]] - [[Wiener-Process]] - [[Ito-Formula]] - [[SDE-Fundamentals]] - [[Oscillators - Linear versus Nonlinear with Numerical and Symbolic Techniques]] - [[Oscillators - Review of Hookean (Linear) Theory]] - [[Oscillators - Bridge to Nonlinearity]] # Previous Semester Landing Pages - [[MATH310 - Fall 2025]] - [[MATH310 - Spring 2025]] - [[MATH310 - Fall 2024]]