A study of limits and differential calculus. A study of integral calculus with applications, transcendental functions, and techniques of integration. Sequences and series, conic sections, vectors, polar coordinates, and parametric equations. For elementary education majors. A study of materials, methods, and procedures of teaching elementary school mathematics.
Emphasis is placed on activity-based learning.
Elementary logic, the algebra of sets, relations and functions, equivalence relations and partitions, natural numbers, integers, rational and real numbers. Collection and analysis of data, control charts, probability models, random variables, confidence intervals, and hypothesis testing. This course provides an introduction to the mathematical modeling process and applies this process to problems that may be modeled with calculus or lower-level mathematics. Emphasis will be placed on connections of mathematics to application areas such as business, industry, economics, physical sciences, biological sciences, medicine, and social sciences. A careful development of the real number system and the theory of calculus on the real line.