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Course Description
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Course Name
Foundations of Single Variable Calculus
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Host University
Universidad Veritas
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Location
San José, Costa Rica
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Area of Study
Calculus, Mathematics
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Language Level
Taught In English
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Contact Hours
48 -
Recommended U.S. Semester Credits3
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Recommended U.S. Quarter Units4
Hours & Credits
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Overview
COURSE DESCRIPTION
Learn to perform differentiation, optimization, and integration like you have never seen before. Students will learn calculus by analyzing case studies, participating in round tables, conducting research, and with many more tools.
COURSE PRE-REQUISITES
Introduction to Calculus: concepts such as factorization, functions, equation-solving techniques, and graph interpretation of functions are required to take Calculus of Functions in One Variable I effectively.
CONTENT
Unit I. Limits and Continuity
o Limit concept.
o Limit technique.
o Infinity and limits.
o Properties of continuity and types of discontinuity.
Unit II. Derivatives
o Derivative concept.
o Differentiation rules.
o Derivatives of products, quotients, trigonometric functions, logarithms,
exponentials, and inverse functions.
o Rate of change.
o Chain rule.
o Implicit differentiation.
o Extrema, mean value theorem.
o Graph analysis.
o Optimization.
o L’Hopital Rule.
Unit III. Integrals
o Anti-derivative.
o Areas under curve.
o Definite integral.
o Fundamental Theorem of Calculus.
o Integral techniques
ASSIGNMENTS
PERCENTAGE VALUE
Oral presentations to present the results of the case studies (3 in total): 20 %
Round tables (3 in total): 10 %
Written reports (3 in total): 30 %
Mind maps (12 in total): 20 %
Final assignment (1 in total) 20 %
Total 100%
Course Disclaimer
Courses and course hours of instruction are subject to change.
Eligibility for courses may be subject to a placement exam and/or pre-requisites.
Availability of courses is based on enrollment numbers. All students should seek pre-approval for alternate courses in the event of last minute class cancellations