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Course Description
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Course Name
Calculus 1
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Host University
Maynooth University
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Location
Dublin, Ireland
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Area of Study
Calculus
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Language Level
Taught In English
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Prerequisites
Exposure to sets, functions, algebraic geometry of lines and circles, elementary algebra and trigonometry. Previous exposure to differential calculus is helpful, but not essential. Ordinary Level Leaving Certificate Mathematics is sufficient.
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Course Level Recommendations
Lower
ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.
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ECTS Credits
7.5 -
Recommended U.S. Semester Credits3
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Recommended U.S. Quarter Units5
Hours & Credits
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Overview
Module Objective:
To introduce the students to Differential Calculus.Overview: Why study calculus?
Review of sets and functions. Real Numbers. Inequalities. Real-valued functions of real variable. Limits and continuity. The Derivative. Tangents. Product rule, chain rule, quotient rule. The Mean Value theorem. The Newton-Raphson method for roots. Higher derivatives. Taylor''s Theorem.
Inverse functions. Applications of the derivative. Linearisation and Differentials.
Course Disclaimer
Courses and course hours of instruction are subject to change.
Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.
ECTS (European Credit Transfer and Accumulation System) credits are converted to semester credits/quarter units differently among U.S. universities. Students should confirm the conversion scale used at their home university when determining credit transfer.
Please reference fall and spring course lists as not all courses are taught during both semesters.
Please note that some courses with locals have recommended prerequisite courses. It is the student's responsibility to consult any recommended prerequisites prior to enrolling in their course.