MATH 1204: Introduction to Geometry

Course description

This course covers all aspects of Euclidean geometry, focusing on lines, angles, triangles, quadrilaterals, circles, polygons, and three-dimensional figures. The emphasis will be on logical thinking, formal proofs, problem solving, and real-world applications. Students will also investigate historical viewpoints and their relevance to algebra and analytic geometry.

Course Objectives

By the end of this course, students will be able to:

1. Use geometric postulates, theorems, and reasoning in problem-solving.
2. Develop proficiency in constructing and proving geometric relationships.
3. Analyze and solve problems involving polygons, circles, and solids.
4. Apply coordinate and analytic geometry to model and prove geometric concepts.
5. Connect geometric principles to historical developments and modern applications.

Required Materials

• Alexander, D. C., & Koeberlein, G. M. (2018). Elementary Geometry for College Students (10th ed.). Cengage.
• Serra, M. (2003). Discovering Geometry: An Inductive Approach (3rd ed.). Key Curriculum Press.

• Johnson, R., & Holcombe, C. (2011). Foundations of Geometry (2nd ed.). Pearson.
  Scientific calculator
• Ruler, compass, protractor
• Graph paper and notebook