Copies of the classnotes are on the internet in PDF and PostScript.
- Chapter 1: Introduction.
PDF.
- Section 1-1: Curves.
PDF.
- Section 1-2: Gauss Curvature.
PDF.
- Section 1-3: Surfaces in E^{3}.
PDF.
- Section 1-4: First Fundamental Form.
PDF.
- Section 1-5: Second Fundamental Form.
PDF.
- Section 1-6: The Gauss Curvature in Detail.
PDF.
- Section 1-7: Geodesics.
PDF.
- Section 1-8: The Curvature Tensor and the Theorema Egregium.
PDF.
- Section 1-9: Manifolds.
PDF.
- Supplement. Wald's General Relativity, 2.1 Manifolds. PDF
- Supplement. Wald's General Relativity, 2.2 Vectors (Partial). PDF
- Supplement. Equation Sheet for Chapter 1. PDF
- Chapter 2: Special Relativity: The Geometry of Flat Spacetime.
PDF.
- Section 2-1: Inertial Frames of Reference.
PDF.
- Section 2-2: The Michelson Morley Experiment.
PDF.
- Section 2-3: The Postulates of Relativity.
PDF.
- Section 2-4: Relativity of Simultaneity.
PDF.
- Section 2-5: Coordinates.
PDF.
- Section 2-6: Invariance of the Interval.
PDF.
- Section 2-7: The Lorentz Transformation.
PDF.
- Section 2-8: Spacetime Diagrams.
PDF.
- Section 2-9: Lorentz Geometry.
PDF.
- Section 2-10: The Twin Paradox.
PDF.
- Section 2-11: Temporal order and Causality.
PDF.
- Supplement. Das' The Special Theory of Relativity, A Mathematical Exposition, 1.1. Minkowski Vector Space V_{4}. PDF.
- Supplement. Das' The Special Theory of Relativity, A Mathematical Exposition, 1.2. Lorentz Mappings of V_{4} (partial). PDF.
- Supplement. Das' The Special Theory of Relativity, A Mathematical Exposition, 1.3. The Minkowski Tensors (partial). PDF
- Supplement: Velocity and Acceleration in Polar Coordinates (This section of Calculus 3 notes includes proofs of Kepler's three laws of planetary motion.) PDF.
- Chapter 3: General Relativity: The Geometry of Curved Spacetime.
PDF.
- Section 3-1: The Principle of Equivalence.
PDF.
- Section 3-2: Gravity as Spacetime Curvature.
PDF.
- Section 3-3: The Consequences of Einstein's Theory.
PDF.
- Section 3-6: Geodesics.
PDF.
- Section 3-7: The Field Equations.
PDF.
- Section 3-8: The Schwarzschild Solution.
PDF.
- Section 3-9: Orbits in General Relativity.
PDF.
- Section 3-10: The Bending of Light.
PDF.
- Supplement: Based on Foster and Nightingale's A Short Course in General Relativity.
Black Holes.
PDF.
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