Purpose of Course: The purpose of the course is to prepare teachers of middle school students. In particular, it intends to deepen and extend the prospective teachers’ content knowledge of the mathematics and mathematical reasoning that they will teach as well as their ability to reason with and communicate that knowledge. Follow-up Courses: Math 2168 Text: Under Consideration. Optional text: Calculus Connections: Mathematics for Middle School Teachers. By Asma Harcharras and Dorina Mitrea (2007). Published by Prentice Hall. ISBN: 0-13-144923-0 Supplementary Text: Course Notes Topics List: 1.Rates described pictorially, in writing, and with symbols. 2.Informal and formal measurement of (instantaneous) rates and their connection to middle school mathematics. 3.Informal and formal measurement of (accumulated) areas and their connection to middle school mathematics. 4.The Fundamental Theorem of Calculus. 5.Applications of differential calculus. 6.Applications of integral calculus.
Page 1 2016-2017 Math 2168 Mathematics 2168 History of Mathematics for Middle School Teachers Spring 3 credits Catalog Description: Historical and mathematical discussion of topics in the middle school math curriculum.Prerequisite: C- or better in 2167; or credit for 111. Limited to Middle Childhood majors and pre-majors with Math as an Area of Concentration. Purpose of Course: The purpose of the course is to prepare prospective middle school math teachers. In particular, it intends to deepen and extend prospective teachers’ connections among topics in mathematics through the study of the history of mathematics, as well as continuing to develop their ability to reason with and communicate that knowledge. Follow-up Courses: None Text: Math through the Ages: A Gentle History for Teachers & Others, Expanded Edition, by Berlinghoff & Bouvea, published by Mathematical Association, ISBN: 9780883857366 Course Packet Topics List: 1.History of Mathematics, from ancient to modern times. 2.Development of number systems, operations, geometry, trigonometry, algebra, calculus, statistics, and probability. 3.Applications: modeling real-world topics. 4.Problem solving (a theme throughout the course).
Page 1 2016-2017 Math 2173 Mathematics 2173 Engineering Mathematics B Autumn, Spring 3 credits Catalog Description: Multiple integrals, line integrals, vector fields, second order ordinary differential equations. Prerequisite: Math 1172, 1544, or 154. Exclusions: Not open to students with credit for 1152, 2153, or for any higher numbered math class, or for any quarter-system math class numbered 254 or higher. Text: Calculus for Scientists and Engineers: Early Transcendentals, 2nd OSU custom edition, by Briggs, Cochran, Gillett, published by Pearson, ISBN: 9781269753449 Topics List: 13.6 (Review of) Directional Derivatives and the Gradient Vector 13.8 Maximum and Minimum Values 13.9 Lagrange Multipliers 14.1 Double Integrals over Rectangular Regions 14.2 Double Integrals over General Regions 14.3 Double Integrals in Polar Coordinates Midterm 114.4 Triple Integrals 14.5 Triple Integrals in Cylindrical & Spherical Coordinates 14.7 Change of Variables in Multiple Integrals 15.1 Vector Fields 15.2 Line Integrals15.3