This program is designed for students who have completed a year of calculus and are interested in going deeper into mathematics and its connections to the sciences. The overarching goal is to provide students with the opportunity to acquire the conceptual knowledge and mathematical proficiency needed for further advanced work in math and related disciplines.
Mathematical models are a core component of the sciences. This program consists of focused work in two areas of applied mathematics (Differential Equations and Multivariable & Vector Calculus), developing insights into underlying patterns that are used to build and apply these models. Each subject integrates a lab sequence focused on computational tools. Each subject represents a 6-credit thread within the program as a whole.
Given the challenging nature of the material, consistent class participation and a substantial time commitment outside of class will be required. We aim to create a collaborative and inclusive learning environment that fosters mutual support and success through lectures, workshops, and labs. Weekly assignments include reading, lab reports, and substantial problem sets. There will be regular quizzes and exams.
Students interested in also taking linear algebra should consider the 4-credit Linear Algebra course; the schedule for this program is compatible with the schedule for that course.
Anticipated Credit Equivalencies:
6* - Differential Equations with Lab
6* - Multivariable and Vector Calculus with Lab
Registration
Proficiency in one year (two semesters or three quarters) of calculus is required. This should include differential calculus and integral calculus. Students should also have covered sequences and series (particularly Taylor and Maclaurin series), vectors and the geometry of space, and vector functions.
Diagnostic and self-study materials will be available by summer 2025 at the program website for students to review prior to fall quarter.
Faculty will contact registered students to verify that they have met the prerequisites and help students prepare a course of summer review to address any gaps in preparation.
Course Reference Numbers
Academic Details
mathematics, physical sciences, computer science, engineering, and math and science education
Students who successfully complete requirements will earn up to 12 upper-division science credits in the math subjects covered in this program.