CALCULUS AND ANALYTIC GEOMETRY 2

Prerequisites & course information

Requisites: MATH 217 or 221 . MATH 211 or 213 does not fulfill the requisite. Course Designation: Core GenEd - Mathematics & Quantitative Reasoning Comm QR - Quantitative Reasoning B Breadth - Natural Science Level - Intermediate L&S Credit - L&S Liberal Arts and Science Repeatable for Credit: No Last Taught: Fall 2026 Learning Outcomes: 1. Apply a variety of integration techniques to compute proper and improper integrals (e.g., integration by parts, substitution including trigonometric substitution, partial fractions, etc.). Audience: Undergraduate 2. Find and analyze the solutions to first order differential equations and initial value problems (e.g., separable equations, equilibrium solutions, linear equations and integrating factors, etc.). Audience: Undergraduate 3. Recall the main definitions and results related to limits, continuity, sequences, and series (e.g., convergence, divergence, convergence of geometric sequences, convergence of geometric series, different tests for convergence and divergence, the Integral test, etc.). Audience: Undergraduate 4. Derive and manipulate asymptotic expansions of functions, and use these expansions to understand the properties of the functions they approximate (e.g., Taylor series, etc.). Audience: Undergraduate 5. Describe objects in three dimensional space and how they interact with each other (the coordinate system, vector addition and scalar multiplication, the dot product and cross product, etc.). Audience: Undergraduate 6. Describe physical and biological phenomena using mathematical models (e.g. linear growth models, logistic growth models, pressure and force, moments and center of mass, etc.). Audience: Undergraduate 7. Offer informal mathematical arguments and formal computations in English using appropriate mathematical terminology, notation, and grammar. Audience: Undergraduate Learning Outcomes: 1. Apply a variety of integration techniques to compute proper and improper integrals (e.g., integration by parts, substitution including trigonometric substitution, partial fractions, etc.). Audience: Undergraduate 2. Find and analyze the solutions to first order differential equations and initial value problems (e.g., separable equations, equilibrium solutions, linear equations and integrating factors, etc.). Audience: Undergraduate 3. Recall the main definitions and results related to limits, continuity, sequences, and series (e.g., convergence, divergence, convergence of geometric sequences, convergence of geometric series, different tests for convergence and divergence, the Integral test, etc.). Audience: Undergraduate 4. Derive and manipulate asymptotic expansions of functions, and use these expansions to understand the properties of the functions they approximate (e.g., Taylor series, etc.). Audience: Undergraduate 5. Describe objects in three dimensional space and how they interact with each other (the coordinate system, vector addition and scalar multiplication, the dot product and cross product, etc.). Audience: Undergraduate 6. Describe physical and biological phenomena using mathematical models (e.g. linear growth models, logistic growth models, pressure and force, moments and center of mass, etc.). Audience: Undergraduate 7. Offer informal mathematical arguments and formal computations in English using appropriate mathematical terminology, notation, and grammar. Audience: Undergraduate