CALCULUS AND ANALYTIC GEOMETRY 1

Prerequisites & course information

Requisites: MATH 114 or ( MATH 112 and 113 ) or placement into MATH 221 . MATH 211 or MATH 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 differential calculus to analyze rates of change, and in particular to model real world phenomena (e.g., derivatives of exponential, logarithmic and trigonometric functions, first and second derivative tests for extrema, applied optimization, etc.). Audience: Undergraduate 2. Analyze the behavior of functions of one variable, including their asymptotic behavior, local behavior and existence of extrema (e.g., limits, continuity, tangent lines, finding extrema, etc.). Audience: Undergraduate 3. Apply integral calculus to model the cumulative effects of continuous processes (e.g., difference between indefinite and definite integral, the Fundamental Theorem of Calculus, computing areas, volumes, and surface areas, etc.). Audience: Undergraduate 4. Successfully perform computations related to limits, differentiation, and integration. Audience: Undergraduate Learning Outcomes: 1. Apply differential calculus to analyze rates of change, and in particular to model real world phenomena (e.g., derivatives of exponential, logarithmic and trigonometric functions, first and second derivative tests for extrema, applied optimization, etc.). Audience: Undergraduate 2. Analyze the behavior of functions of one variable, including their asymptotic behavior, local behavior and existence of extrema (e.g., limits, continuity, tangent lines, finding extrema, etc.). Audience: Undergraduate 3. Apply integral calculus to model the cumulative effects of continuous processes (e.g., difference between indefinite and definite integral, the Fundamental Theorem of Calculus, computing areas, volumes, and surface areas, etc.). Audience: Undergraduate 4. Successfully perform computations related to limits, differentiation, and integration. Audience: Undergraduate