Integral Calculus

Maynooth University

Course Description

  • Course Name

    Integral Calculus

  • Host University

    Maynooth University

  • Location

    Dublin, Ireland

  • Area of Study

    Calculus

  • Language Level

    Taught In English

  • Prerequisites

    MT101S

  • 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.

    Hours & Credits

  • ECTS Credits

    5
  • Recommended U.S. Semester Credits
    2
  • Recommended U.S. Quarter Units
    3
  • Overview

    Objectives:To introduce students to Integral Calculus.

    Anti-derivatives, area, the definite integral, indefinite integrals, the Fundamental Theorem of Calculus, the substitution rule, areas between curves, inverse functions, inverse trigonometric functions. Techniques of Integration. Tables of integrals, integration by parts, trigonometric integrals, Substitution, integration of rational functions, trapezoidal rule, Simpson's Rule. Applications of Integration: Volumes and surfaces of revolution, length of a curve.

    Learning Outcomes:

    On successful completion of the module, students should be able to:
    -Integrate the basic functions and combinations of these functions using standard techniques.
    -Use integrals to find areas and volumes.
    -Compute an integral numerically to a given degree of accuracy.
    -State the Fundamental Theorem of Calculus.
    -Use the methods from the course to solve problems.
    -State definitions and theorems covered in the course.

    Teaching & Learning methods:
    24 lecture hours, 7 tutorial hours, 49 private study hours.

    Assessment:
    Continuous Assessment: 25%
    University scheduled written examination: 75%

    Penalties: Work submitted after the deadline will not be graded and will not count.

    Pre-requisites:
    MT101S

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.