Course Course Summary Section 1 Content Section 1 Content Left Section 1 Content Right Credit Type: Course ACE ID: SAYA-0025 Organization's ID: MA005 Organization: Saylor Academy Location: Classroom-based Length: 130.75 hours Dates Offered: 5/1/2022 - 4/30/2025 6/1/2018 - 4/30/2022 Credit Recommendation & Competencies Section 2 Content Section 2 Content Left Section 2 Content Right Level Credits (SH) Subject Lower-Division Baccalaureate 4 Calculus I Description Section 3 Content Section 3 Content Left Section 3 Content Right Objective: The course objective is to provide a detailed introduction of functions, graphs, limits, continuity, and derivatives, and the relationship between derivatives and graphs. Learning Outcomes: Calculate or estimate limits of functions given by formulas, graphs, or tables by using properties of limits and L'Hopital's Rule Calculate average and instantaneous rates of change in context, and state the meaning and units of the derivative for functions given graphically Calculate derivatives of polynomial, rational, and common transcendental functions, compositions thereof, and implicitly defined functions Find extreme values of modeling functions given by formulas or graphs State which parts of a mathematical statement are assumptions, such as hypotheses, and which parts are conclusions Find anti derivatives by changing variables and using tables Calculate definite integrals State whether a function given by a graph or formula is continuous or differentiable at a given point or on a given interval, and justify the answer Apply the ideas and techniques of derivatives to solve maximum and minimum problems and related rate problems, and calculate slopes and rates for functions given as parametric equations Predict, construct, and interpret the shapes of graphs Solve equations using Newton's method Find linear approximations to functions using differentials Restate in words the meanings of the solutions to applied problems, attaching the appropriate units to an answer General Topics: Review of major pre-algebra concepts Functions, graphs, limits, and continuity Derivatives Derivatives and graphs The integral Instruction & Assessment Section 4 Content Section 4 Content Left Section 4 Content Right Instructional Strategies: Audio Visual Materials Computer Based Training Lectures Practical Exercises Methods of Assessment: Examinations Minimum Passing Score: 70% Supplemental Materials Section 5 Content Section 5 Content Left Section 5 Content Right Section 6 Content Section 6 Content Left Section 6 Content Right Button Content Rail Content 1 Other offerings from Saylor Academy ARTH101: Art Appreciation (SAYA-0036) BIO101: Introduction to Molecular and Cellular Biology (SAYA-0019) BUS101: Introduction to Business (SAYA-0020) BUS103: Introduction to Financial Accounting (SAYA-0021) BUS105: Managerial Accounting (SAYA-0009) BUS200: Business Ethics (SAYA-0047) BUS202: Principles of Finance (SAYA-0022) BUS203: Principles of Marketing (SAYA-0023) BUS204: Business Statistics (SAYA-0037) BUS205: Business Law (SAYA-0024) View All Courses Page Content