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Santa Barbara City College

Calculus with Analytic Geometry I

Santa Barbara City College via California Community Colleges System

Overview

Prerequisites: MATH 138 or MATH 149 or equivalent based on SBCC's Assessment Center placement via multiple measures.A first course in Calculus, the study of change-how to measure, model, and predict changes in quantities we observe in our universe. An investigation of functions, relations, and mathematical models from a variety of STEM disciplines, through the concepts of limit, differentiation, and integration. Applications of the derivative such as linear approximation, related rates, and optimization. Applications of integration such as area, net, and total change. Understanding the connection between differential calculus/rate of change and integral calculus/accumulation through the Fundamental Theorem of Calculus. This course is intended for STEM majors that have successfully completed the equivalent of one year of precalculus in high school, OR SBCC's Math 137: College Algebra and 138: College Algebra & Trigonometry precalculus sequence, OR Math 149: Precalculus for STEM Majors. Students enrolled in Math 150 are eligible to concurrently enroll in Math 150C: Support for Calculus w/ Analytic Geometry I. Students in Math 150 will demonstrate their learning of course outcomes through multiple methods of assessment, including at least 5 hours of controlled assessments in the form of in-person proctored exams/project presentations and a cumulative, in-person proctored final exam.Hours: 90 (90 lecture)Transfer Information: C-ID (MATH 210.), CSUGE Area B4, IGETC Area 2A, CSU Transferable, UC Transferable (MATH 130 and 150 combined: maximum credit, one course.)SBCC General Education: SBCCGE Area D2, SBCCGE Area E1Grading Options: Pass/No Pass or Standard Letter

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