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If you are enrolled in courses delivered in traditional or hybrid modalities, you will be expected to attend face-to-face instruction as scheduled.
| Semester: | Spring 2024 |
| Number: | 0144-457-001 |
| Instructor: | Lee Stemkoski |
| Days: | Monday Wednesday Friday 10:00 am - 10:50 am |
| Note: | Traditional In-Person Class |
| Location: | Garden City - Hagedorn Hall of Enterprise 113 |
| Credits: | 3 |
| Notes: |
Grade Of C- Or Better In Mth 201, And Mth 253 Or Mth 250 Required |
| Course Materials: | View Text Books |
| Related Syllabi: |
William Quirin for
Spring 2017* |
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*Attention Students: Please note that the syllabi available for your view on these pages are for example only. The instructors and requirements for each course are subject to change each semester. If you enroll in a particular course, your instructor and course outline may differ from what is presented here. |
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| Description: |
Study algebraic structures, including groups, rings, and fields. Investigate important examples, such as permutation groups, normal subgroups, product and quotient groups, commutative rings, integral domains, ideals, quotient rings, and polynomial rings. Explore relationships between structures using homomorphisms and isomorphisms. Understand, prove, and apply theorems from algebra. |
| Learning Goals: |
Students will demonstrate effective oral and written communication of mathematical concepts. Students will demonstrate a comprehensive knowledge of abstract algebra concepts needed by mathematics majors for integration into the (education) workforce and/or graduate study. Students will demonstrate the ability to use the principles of logic and induction in mathematical proofs. Students will demonstrate the ability to determine whether given mathematical structures form groups, rings, or fields using an axiomatic approach. Students will demonstrate the ability to classify mappings as homomorphisms or isomorphisms. Students will be able to use the laws of deductive logic to read and write mathematical proofs. *The learning goals displayed here are those for one section of this course as offered in a recent semester, and are provided for the purpose of information only. The exact learning goals for each course section in a specific semester will be stated on the syllabus distributed at the start of the semester, and may differ in wording and emphasis from those shown here. |
| Prerequisites: |
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