Advanced Topics in Mathematics
Courses
- Abnormal Psychology
- Academic Writing
- Academic Writing II: Writing about Literature
- Advanced Topics in Mathematics
- Anatomy and Physiology
- Astronomy
- Environmental Science
- FUNdamentals of Chemistry
- Java for Video Games
- Mathematical Problem Solving
- Molecules, Proteins, and Genes: Building Blocks of Biology
- Nanotechnology
- Plugged In: Media Studies in the 21st Century
- Screenwriting
- Short Fiction Workshop
- Short Fiction Workshop II
- Social Psychology
Score Requirements: (Score Table 1)
Prerequisites: Mathematical Problem Solving or Algebra I and Geometry
About the Course: Students will apply mathematical reasoning skills and problem-solving strategies such as use of symmetry, use of parity, and dividing into cases as they investigate topics not typically covered in a traditional middle- or high-school mathematics curriculum. As they participate in real-time virtual problem-solving sessions, threaded discussion boards, and weekly problem sets, students will wrestle with topics in number theory, linear algebra, probability, and advanced geometry. Students will study modular arithmetic, factor theorems, and the pigeonhole principle, as well as various forms of mathematical proofs, including indirect proofs, proof by contradiction, and proof by induction. Students should have prior experience with the following problem-solving strategies: drawing a figure, searching for a pattern, solving a simpler problem, and working backwards.
About the Instructor: Denise Rowell has a B.S in Mathematics and an M.Ed. in Secondary Education from the University of South Carolina. She also has a Ph.D. in Mathematics Education from North Carolina State University. Denise has taught Algebra I and II, Geometry, and General Math at the high school level, and has taught College Algebra, Pre-Calculus, Calculus, and Introduction to Mathematical Proofs at the college level. She has also taught Duke TIP’s Mathematical Problem Solving e-Studies course, and she is the author of Duke TIP’s Geometry Learn on Your Own course.
Instructor(s) subject to change.