![]() We recommend having completed the listed prerequisites before enrolling and within the past seven years. *Please note these prerequisites are highly suggested and support course preparedness and success. One semester of college-level precalculus ( MATH 1011).Gain introductory level knowledge appropriate to a single variable calculus course of mathematical definitions and proofs of key theorems.Develop the ability to identify and apply multiple mathematical problem-solving techniques for a specific situation.the mathematical methods comprising differential and integral calculus. Communicate mathematical concepts and apply complex symbolic representation in written, verbal, and technological settings. calculus: noun a method of computation or calculation in a special notation (as of logic or symbolic logic). ![]() Develop visual literacy of mathematical concepts through graphical analysis. Master the calculus of derivatives, integrals, coordinate systems, and infinite series.Utilize numerical, graphical, analytical and approximation models in pure and applied settings. 1.1 Functions 1.2 Inverse Functions 1.3 Trig Functions 1.4 Solving Trig Equations 1.5 Trig Equations with Calculators, Part I 1.Applications of Integration: Area under and between curves, volumes of revolutions, arc length, work, hydrostatic force, moments and centers of mass, exponential growth and decay models, hyperbolic functions.Integrals: Approximating areas, antidifferentiation, Riemann sums, Fundamental Theorem of Calculus, definite and indefinite integrals, substitution methods.curve sketching, local and absolute extrema, optimization, linear approximations, Newton’s method. Applications of the derivative: Rates of change, related rates, Mean Value Theorem.Derivatives: Formal definition of a derivative, Delta – Epsilon proofs, differentiation rules, trig formulas, chain, product and quotient rules, implicit and logarithmic differentiation.Limits and Continuity: Graphical interpretation, numerical approximation, limit laws, Squeeze Theorem, Intermediate Value Theorem, tangent and velocity problems, L’Hopital’s rule.Along with the fundamental computational skills required to solve these problems, you will also gain insight into real-world applications of these. In this three-part series you will learn the mathematical notation, physical meaning, and geometric interpretation of a variety of calculus concepts. Apply the core concepts of differential and integral calculus to solve problems in Calculus 1: Master the calculus of derivatives, integrals, coordinate systems, and infinite series.Linda Green, a lecturer at the University of North Carolina at Chapel Hill. * This course is considered an upper-level undergraduate course (300 level or above) Learn Calculus 1 in this full college course.This course was created by Dr. Mathematical manipulation and computational competence is equally weighted with the ability to analyze, evaluate, synthesize and form accurate decisions using relevant information in applied settings. Basic integration techniques are introduced. ![]() Differentiation and its applications are thoroughly discussed. MATH 1020 is a four-credit calculus course that focuses on single variable calculus through graphical, analytical, and numerical techniques.Share Your Student Success Story with UNE OnlineĪcademic Calendar | Academic Catalog | Accreditation | Lecture Course Syllabus | Technical Requirements | Withdrawal/Refund Policy Calculus I Course Overview.Technical Requirements: Science Prerequisites.Science Prerequisites for Health Professions.Graduate Certificate in Health Policy, Law, & Compliance.Graduate Certificate in Healthcare Management.Graduate Certificate in Health Data Quality.Graduate Certificate in Healthcare Data Analytics.Graduate Certificate in Health Informatics.Master of Science in Health Informatics. ![]()
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