COURSE GOALS
MTH 437/537

Students in MTH 437 will:

• Develop the ability to interpret geometric models of certain physical processes;
• Develop a geometric understanding of special relativity using hyperbolic trigonometry;
• Develop a geometric understanding of line elements (metric tensors) and their use in describing spacetimes;
• Develop the ability to interpret simple matter models in general relativity;
• Develop an understanding of the consequences of Einstein's field equation for the properties of simple spacetimes;
• Develop a geometric understanding of simple black hole models;
• Develop an understanding of the properties of simple cosmological models.
• Develop an appreciation of the unifying thread brought to these topics by the use of differential forms.

Students in MTH 537 will:

• Develop the ability to describe certain physical processes using geometric models;
• Develop a geometric understanding of special relativity using hyperbolic trigonometry;
• Develop a geometric understanding of line elements (metric tensors) and their use in describing spacetimes;
• Develop an understanding of simple matter models in general relativity;
• Develop the ability to use Einstein's field equation to analyze the properties of simple spacetimes;
• Develop a geometric understanding of simple black hole models;
• Develop an understanding of the properties of simple cosmological models.
• Develop an appreciation of the unifying thread brought to these topics by the use of differential forms.