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Mathematical logic, also called 'logistic', 'symbolic logic', the 'algebra of logic', and, more recently, simply 'formal logic', is the set of logical theories elaborated in the course of the nineteenth century with the aid of an artificial notation and a rigorously deductive method. [5]
Offering a college-level precalculus course in high school will give students a new and valuable option for improving math readiness and staying on track for college. [4] AP Precalculus centers on functions modeling dynamic phenomena. This research-based exploration of functions is designed to better prepare students for college-level calculus ...
Precalculus prepares students for calculus somewhat differently from the way that pre-algebra prepares students for algebra. While pre-algebra often has extensive coverage of basic algebraic concepts, precalculus courses might see only small amounts of calculus concepts, if at all, and often involves covering algebraic topics that might not have been given attention in earlier algebra courses.
A typical sequence of secondary-school (grades 6 to 12) courses in mathematics reads: Pre-Algebra (7th or 8th grade), Algebra I, Geometry, Algebra II, Pre-calculus, and Calculus or Statistics. However, some students enroll in integrated programs [3] while many complete high school without passing Calculus or Statistics.
Introduction to Mathematical Logic: Set Theory – Computable Functions – Model Theory. ISBN 978-0-387-90346-0. Wilson, R. L. (1979). Much Ado About Calculus: A Modern Treatment with Applications Prepared for Use with the Computer. ISBN 978-0-387-90347-7. Thorpe, John A. (1979). Elementary Topics in Differential Geometry.
The field of logic ranges from core topics such as the study of fallacies and paradoxes, to a specialized analysis of reasoning using probability and to arguments involving causality. Logic is also commonly used today in argumentation theory. Since the mid-nineteenth century formal logic has been studied in the context of the foundations of ...
Calculus is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. This subject constitutes a major part of contemporary mathematics education . Calculus has widespread applications in science , economics , and engineering and can solve many problems for which algebra alone is insufficient.
Advanced Placement (AP) Statistics (also known as AP Stats) is a college-level high school statistics course offered in the United States through the College Board's Advanced Placement program. This course is equivalent to a one semester, non- calculus -based introductory college statistics course and is normally offered to sophomores , juniors ...
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