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| + | ====== MATH 401 - Modern Algebra I ====== | ||
| + | |||
| + | Fall 2016 \\ | ||
| + | Instructor: [[people:ben:start|Ben Brewster]] \\ | ||
| + | Office: WH 114 \\ | ||
| + | e-mail: [[ben@math.binghamton.edu]] \\ | ||
| + | phone: 777-4201 | ||
| + | |||
| + | ----------------- | ||
| + | |||
| + | ===== SYLLABUS for Course ===== | ||
| + | |||
| + | Text: Introduction to Abstract Algebra, 4th Edition by W. Keith | ||
| + | Nicholson | ||
| + | |||
| + | |||
| + | The title of the text describes the nature of the material to be | ||
| + | studied during this course. Modern Algebra differs from the algebra | ||
| + | encountered in high school and Calculus. Linear Algebra provides some | ||
| + | hint of the more modern approach. The idea establish concepts central | ||
| + | to what makes algebra useful and doable and then define and interpret | ||
| + | in such ways that generalize and expand the calculation one is used to | ||
| + | in algebra. It becomes more abstract of course, but in ones eye, there | ||
| + | should remain notions of symmetry, solving polynomial equations and | ||
| + | using permutations. These will be central to our study. | ||
| + | |||
| + | The course will cover Chapters 0, 1, and 2 of the text. If time is | ||
| + | sufficient, we will consider portions of Chapter 3 or Chapter 8. | ||
| + | Modern Algebra is basic material for anyone going on to graduate | ||
| + | school to study math and this course is designed to serve those with | ||
| + | such intent. | ||
| + | |||
| + | There will be one or two quizzes, a mid-semester exam, and a final exam | ||
| + | during the Finals period. Also from homework assigned for students to | ||
| + | solve between classes, some will be selected to be handed in and graded. | ||
| + | These will provide, together with attendance and class | ||
| + | participation, the data upon which final marks in the course will be | ||
| + | determined. I will try to keep each person fairly aware of the general | ||
| + | direction in which he/she is headed. | ||
| + | |||
| + | Note that MATH 330 is a prerequisite for this course. Skill and | ||
| + | experience with reading,writing, and talking through proofs is essential | ||
| + | and will be a focus of the class. Attendance and participation is | ||
| + | required to get full competence the material. I find this material very | ||
| + | intriguing and, if you allow yourself, you can learn some very useful | ||
| + | information enjoyably and fulfillingly. | ||
| + | |||
| + | Also note that the class meets 4 days in each complete week. | ||
| + | |||
| + | |||
| + | ===== Tentative Weekly Schedule ===== | ||
| + | |||
| + | | Aug.26 | Sec 0.1 | | ||
| + | | Aug. 28- Sept. 2 | 0.2 , 0.3, 0.4 and Posets | | ||
| + | | Sept.6-9 | More Posets, Lattices and Sec. 1.1 | | ||
| + | | Sept. 12-16 | More 1.1, 1.2 and 1.3 | | ||
| + | | Sept. 19-23 | 1.3, 1.4 | | ||
| + | | Sept. 26-30 | Sec. 2.1, 2.2, Quiz I | | ||
| + | | Oct. 5-7 | More 2.2, 2.3 | | ||
| + | | Oct.10-11 & 14 | 2.3, 2.4, Quiz II | | ||
| + | | Oct.17-21 | Sec.2.5, 2.6 | | ||
| + | | Oct. 24-26 | Sec.2.6, 2.7 | | ||
| + | | MIDTERM EXAM in class Friday Oct.28 || | ||
| + | | Oct.31-Nov. 4 | Sec.2.8, 2.9 | | ||
| + | | Nov. 7-11 | Sec. 2.10, 8.1 | | ||
| + | | Nov.14-18 | Sec.8.2, 8.3 | | ||
| + | | Nov. 21-22 | Review and Test | | ||
| + | | NOVEMBER 23-27 Thanksgiving Break || | ||
| + | | Nov.28-Dec. 2 | Sec. 3.1 ,3.2 | | ||
| + | | Dec.5-8 | Sec 3.3, Quiz III | | ||
| + | | FINAL EXAM as Scheduled by University || | ||