Feb 05, 2025  
2021-2022 Undergraduate Academic Catalog 
    
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2021-2022 Undergraduate Academic Catalog [ARCHIVED 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  or MA 2323 )
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
  • Real number line
  • Sequences
  • Limits
  • Continuity
  • Differentiability
  • Integrability
Coordinator
Dr. Chunping Xie


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