Mar 27, 2023
2015-2016 Undergraduate Academic Catalog
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# MA 386 - Functions of a Real Variable

3 lecture hours 0 lab hours 3 credits
Course Description
This course looks at the foundations of calculus with more rigor, using the concepts of sequences and limits to understand continuity, differentiation and integration in greater depth than is possible in the calculus sequence. (prereq: MA 232 )
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
• Understand the basic topology of the real number line
• Understand the basic definitions and theorems concerning limits of sequences
• Determine the convergence of sequences
• Understand the concept and know the basic properties of continuous functions
• Understand the concept and know the basic properties of differentiable functions
• Understand the Riemann integral and the Fundamental Theorem of Calculus

Prerequisites by Topic
• None

Course Topics
• Mathematical induction (2 classes)
• Real number line (4 classes)
• Sequences (6 classes)
• Limits (3 classes)
• Continuity (3 classes)
• Differentiability (3 classes)
• Integrability (4 classes)
• Reviews and exams (5 classes)

Coordinator
Karl David