Differential and Integral Calculus

AUT University

Course Description

  • Course Name

    Differential and Integral Calculus

  • Host University

    AUT University

  • Location

    Auckland, New Zealand

  • Area of Study

    Calculus

  • Language Level

    Taught In English

  • 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

  • Credit Points

    15
  • Recommended U.S. Semester Credits
    3 - 4
  • Recommended U.S. Quarter Units
    4 - 6
  • Overview

    Gives the student an understanding of differential and integral calculus, and develops the ability to formulate and solve models of simple engineering and scientific systems.

     
    STUDENT LEARNING HOURS:
    The learning hours are a guide to the total time needed for a student to complete the paper:
    36 x 1 hour lecture 36
    12 x 2 hour tutorials 24
    Student directed learning 90
    Total learning hours 150
     
    PRESCRIPTOR:
    Gives the student an understanding of differential and integral calculus, and develops the ability to
    formulate and solve models of simple engineering and scientific systems.
    LEARNING OUTCOMES:
    On successful completion of this paper students will be able to:
    1. Manipulate and describe many of the important functions used in Mathematics and
    applications.
    2. Calculate and appreciate limits.
    3. Thoroughly understand and apply differentiation.
    4. Thoroughly understand and apply integration.
    5. Solve first-order differential equations.
    6. Use appropriate numerical methods.
    7. Understand sequences and series.
     
    CONTENT
    • Functions and models,
    • Limits and derivatives,
    •  Differentiation rules,
    • Applications of differentiation,
    • Integrals,
    • Applications of integration,
    • Differential equations,
    • Infinite sequences and series.
     
    LEARNING & TEACHING STRATEGIES
    Paper content is presented through three 50 minute lectures per week conveying the theory,
    providing worked examples and applications, along with a 100 minute tutorial review each week.
    The student will apply this theory through regular assignments, which form an integral part of the
    course.
     

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.

Some courses may require additional fees.

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.

Please reference fall and spring course lists as not all courses are taught during both semesters.

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

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.