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1/06 (Mon) Introduction. Matrix Groups (Sec.12.1). |
1/08 (Wed) The General, Special, and Orthogonal Linear Groups (Sec.12.1). |
1/10 (Fri) Symmetry (Sec.12.2). |
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1/13 (Mon) The Wallpaper Groups (Sec.12.2). |
1/15 (Wed) Finite Abelian Groups (Sec.13.1). |
1/17 (Fri) Fundamental Theorem of Finite Abelian Groups. (Sec.13.1). |
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1/20 (Mon) NO CLASSES. Martin Luther King Day. |
1/22 (Wed) Solvable Groups (Sec.13.2). |
1/24 (Fri) The Jordan-Hölder Theorem (Sec.13.2). |
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1/27(Mon) Group Actions (Sec.14.1). |
1/29 (Wed) Review for midterm 1. |
1/31 (Fri) Midterm #1. |
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2/03 (Mon) The Class Equation (Sec.14.2). |
2/05 (Wed) Burnside’s Theorem (Sec.14.3). |
2/07 (Fri) Vector Spaces (Sec.20.1). |
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2/10 (Mon) Subspaces (Sec.20.2). |
2/12 (Wed) Linear Dependence and Independence (Sec.20.3). |
2/14 (Fri) Linear Transformations (Sec.20.3). |
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2/17 (Mon) Direct Sums and Dual Spaces (Sec.20.3). |
2/19 (Wed) Polynomials (Sec.17.1). |
2/21 (Fri) The Division Algorithm (Sec.17.2). |
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2/24 (Mon) Irreducible Polynomials (Sec.17.3). |
2/26 (Wed) Polynomial Ideals (Sec.17.3). |
2/28 (Fri) Solving the Cubic and Quartic Equations (Sec.17.6). |
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3/03 (Mon) Fields (Sec.21.1). |
3/05 (Wed) Review for midterm 2. |
3/07 (Fri) Midterm #2. |
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3/17 (Mon) Extension Fields (Sec.21.1). |
3/19 (Wed) Algebraic Extensions (Sec.21.1). |
3/21 (Fri) Algebraic Closure (Sec.21.1). |
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3/24 (Mon) Splitting Fields (Sec.21.2). |
3/26 (Wed) Geometric Constructions (Sec.21.3). |
3/28 (Fri) Finite Fields (Sec.22.1). |
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3/31 (Mon) Finite Fields (Sec.22.1). |
4/02 (Wed) Field Automorphisms (Sec.23.1). |
4/04 (Fri) The Galois Group (Sec.23.1). |
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4/07 (Mon) Separable Extensions (Sec.23.1). |
4/09 (Wed) Normal Extensions (Sec.23.2). |
4/11 (Fri) Fundamental Theorem of Galois Theory (Sec.23.2). |
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4/14 (Mon) Fundamental Theorem of Galois Theory (Sec.23.2). |
4/16 (Wed) Solvability by Radicals (Sec.23.3). |
4/18 (Fri) Solvability by Radicals (Sec.23.3). |
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4/21 (Mon) Review for the final. |
4/25 (Fr) FINAL, 10:00 - 11:45 AM |