Calculus with Analytic Geometry I ((4 Credits ))

Catalog description

In this course, students will develop problem solving skills, critical thinking, computational proficiency, and contextual fluency through the study of limits, derivatives, and definite and indefinite integrals of functions of one variable, including algebraic, exponential, logarithmic, and trigonometric functions, and applications. Topics will include limits, continuity, differentiation and rates of change, optimization, curve sketching, and introduction to integration and area. Student Learning Outcomes: -Students will calculate a limit, derivative, or integral using appropriate techniques. -Students will determine the continuity and differentiability of a function. -Students will use limits and derivatives to analyze relationships between the equation of a function and its graph. -Students will apply differentiation techniques to model and solve real world problems. -Students will use integrals and the Fundamental Theorem of Calculus to analyze the relationship between the integral of a function and the related area.