|Advanced Calculus for Secondary Education Teachers|
|ADV CALC TEACH|
|CLASS CODE:||MATH 460||CREDITS: 2|
|DIVISION:||PHYSICAL SCIENCE & ENGINEERING|
|GENERAL EDUCATION:||This course does not fulfill a General Education requirement.|
|DESCRIPTION:||Intended for those majoring in mathematics education. This course reveals the theoretical underpinnings of the topics taught in first and second semester calculus. Topics will include epsilon-delta proofs, intermediate and mean value theorems, the fundamental theorems of calculus, differentiation, integration, infinite series, Taylor series, and how to teach calculus concepts to secondary school students.|
|CONTENT AND TOPICS:||Topics will include epsilon-delta proofs, intermediate and mean value theorems, the fundamental theorems of calculus, differentiation, integration, infinite series, Taylor series, and how to teach calculus concepts to secondary school students.|
|GOALS AND OBJECTIVES:||1. Learn the fundamental definitions and theorems of differential and integral calculus along with rigorous proofs of the theorems.
2. Acquire examples, nonexamples, and applications for each main concept in calculus.
3. Become familiar and comfortable with the standard notations and vocabulary of Calculus.
4. Learn to read and write mathematics on their own and teach them the importance of careful, accurate and precise work.
5. Develop both oral and written communication skills.
6. Acquire ideas on how to teach the subject matter.
|REQUIREMENTS:||There will be regular homework assignments and examinations. In addition students will give in class presentations of proofs and teaching demonstrations of how they would teach various topics.|
|PREREQUISITES:||Math 112, Math 113, Math 301|
|EFFECTIVE DATE:||August 2003|