Technical Requirements During TRI.
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A stable internet connection that is capable of joining Zoom meetings and taking assessments.
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A web camera (internal or external) and a microphone that can be used for Zoom meetings.
Section 2 Course Information
Subsection 2.1 Course Description
This course provides instruction to abstract algebra and real analysis and is a continuation of MATH 2040.
Subsection 2.2 Course Prerequisites
A grade of C or better in MATH 2040.
Subsection 2.3 Course Objectives
The primary goal of this course is to further develop the ability to read and write mathematical proofs. We will develop proof techniques particular to the mathematical disciplines of analysis and algebra.
Subsection 2.4 Course Topics
This course develops techniques from two extraordinarily disparate mathematical disciplines. While these two disciplines often study related problems, the techniques are cleanly bifurcated.
Subsubsection 2.4.1 Analysis
Analysis is a branch of mathematics that focuses on limits and constructions based thereon. Roughly speaking, analytic constructions based on limits are often called continuous.
This courses will focus on selected topics from analysis, roughly equivalent to the first half of MATH 3080 – Real Analysis:
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Basic Topology of \(\mathbb{R}\)
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Open Sets
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Continuity of Functions
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Subsubsection 2.4.2 Algebra
Algebra is a branch of mathematics that focuses on structures that arise from equipping a space with one or more finitary operations. Roughly speaking, algebraic structures are generally discrete (the opposite of continuous) in the sense that they do not involve (analytic) limits.
This course will focus on selected topics from algebra, roughly equivalent to the first half of MATH 3086 – Modern Algebra:
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Algebraic Structures
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Group Theory
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Groups
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Order
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Symmetric Groups
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Subgroups
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Ring Theory
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Rngs
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Rings
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Subsection 2.5 Instructional Methods
This course is offered as a face-to-face course. Learning will be facilitated through traditional lecture, group work/activities, homework, and in-class assessments.
Subsection 2.6 Temporary Remote Instruction (TRI)
During the semester, class and/or campus operations might be disrupted by an occurrence such as a tornado, fire, or illness outbreak that temporarily prevents in-person instruction. Until in-person instruction is possible, the class will enter a phase of temporary remote instruction (TRI). During this phase, instruction will take place via virtual means, either synchronously or asynchronously. Your instructor will alert you when this happens via e-mail and will include a description of how the course will proceed.
During a period of temporary remote instruction, the need for the course to continue in a virtual manner means that you will be required to have appropriate equipment, software, and telecommunication access to allow you to participate.
