"Modern Algebra Class Notes, Fields" Webpage

Modern Algebra Class Notes (Fields)
Algebra, Thomas W. Hungerford (1974) Hungerford's Algebra book

Copies of the classnotes are on the internet in PDF format as given below.

V. Fields and Galois Theory. Chapter 5 Introduction notes

Supplement. Proofs of Theorems in Section V.1. Beamer file of Section V.1 proofs
Supplement. Printout of the Proofs of Theorems in Section V.1. Print file of Section V.1 proofs

Supplement. Proofs of Theorems in Section V.1.Appendix. Beamer file of Appendix V.1 proofs (prepared in Beamer).
Supplement. Printout of the Proofs of Theorems in Section V.1.Appendix. Print file of Appendix V.1 proofs

Supplement. Compass and Straight Edge Constructions. On this topic, there is a PowerPoint presentation (prepared in Microsoft PowerPoint 2010) with embedded audio and a transcript in PDF. A video Youtube version is also available (last accessed 1/22/2014).
Section V.2. The Fundamental Theorem (of Galois Theory). Section V.12 notes

Supplement. Proofs of Theorems in Section V.2. Beamer file of Section V.2 proofs
Supplement. Printout of the Proofs of Theorems in Section V.2. Print file of Section V.2 proofs

Section V.2.Supplement. Some Field Extension and Galois Extension Observations. Section V.2 Supplement notes
Section V.2.Appendix. Symmetric Rational Functions. Appendix V.2 notes

Supplement. Proofs of Theorems in Section V.2.Appendix. Beamer file of Appendex V.2 proofs
Supplement. Printout of the Proofs of Theorems in Section V.2.Appendix. Print file of Appendix V.2 proofs

Section V.3. Splitting Fields, Algebraic Closure, and Normality (Partial). Section V.3 notes

Supplement. Proofs of Theorems in Section V.3. Beamer file of Section V.3 proofs
Supplement. Printout of the Proofs of Theorems in Section V.3. Print file of Section V.3 proofs

Section V.3.Supplement. Splitting Fields, Algebraic Closure, and Normality (Supplement). Supplement V.3 notes

Supplement. Proofs of Theorems in Section V.3.Supplement. Beamer file of Section V.3 Supplement proofs
Supplement. Printout of the Proofs of Theorems in Section V.3.Supplement. Print file of Section V.3 Supplement proofs

Section V.3.Appendix. The Fundamental Theorem of Algebra. Appendix V.3 notes (This appendix includes a mostly-algebraic proof of The Fundamental Theorem of Algebra.)
Section V.3.Appendix.Supplement. The Fundamental Theorem of Algebra. A PowerPoint file with the proofs of the results of Section V.3.Appendix presented with "ScreenTips" that pop up to recall referenced theorems is available. (This appendix supplement includes a mostly-algebraic proof of The Fundamental Theorem of Algebra.)
Supplement. The Fundamental Theorem of Algebra - History. Fundamental Theorem of Algebra - History notes. A more visual presentation with an inuitive argument in support of the FTA is available in PowerPoint.
Section V.4. The Galois Group of a Polynomial (Partial). Section V.4 notes

Supplement. Proofs of Theorems in Section V.4. Beamer file of Section V.4 proofs
Supplement. Printout of the Proofs of Theorems in Section V.4. Print file of Section V.4 proofs

Section V.4.Supplement. The Galois Group of a Polynomial (Supplement). Supplement V.4 notes

Supplement. Proofs of Theorems in Section V.4.Supplement. Beamer file of Supplement V.4 proofs
Supplement. Printout of the Proofs of Theorems in Section V.4.Supplement. Print file of Section V.4 Supplement proofs

Supplement. Proofs of Theorems in Section V.5. Beamer file of Section V.5 proofs
Supplement. Printout of the Proofs of Theorems in Section V.5. Print file of Section V.5 proofs

Supplement. Proofs of Theorems in Section V.6. Beamer file of Section V.6 proofs
Supplement. Printout of the Proofs of Theorems in Section V.6. Print file of Section V.6 proofs

Supplement. Proofs of Theorems in Section V.7. Beamer file of Section V.7 proofs
Supplement. Printout of the Proofs of Theorems in Section V.7. Print file of Section V.7 proofs

Supplement. Proofs of Theorems in Section V.8. Beamer file of Section V.8 proofs
Supplement. Printout of the Proofs of Theorems in Section V.8. Print file of Section V.8 proofs

Supplement. Proofs of Theorems in Section V.9. Beamer file of Section V.9 proofs
Supplement. Printout of the Proofs of Theorems in Section V.9. Print file of Section V.19proofs

Supplement. Proofs of Theorems in Section V.9.Appendix. Beamer file of Appendix V.9 proofs
Supplement. Printout of the Proofs of Theorems in Section V.9.Appendix. Print file of Appendix V.9 proofs

VI. The Structure of Fields.