Calculus with Analytic Geometry I

Universitat Politècnica de València

Course Description

  • Course Name

    Calculus with Analytic Geometry I

  • Host University

    Universitat Politècnica de València

  • Location

    Valencia, Spain

  • Area of Study

    Calculus, Geometry

  • 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

  • Credits

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

    General Description:
    This is an introductory course on calculus. The students will learn the basic tools of differential
    calculus with a single variable: limits, derivatives and integrals.
    The main focus is on the concepts and computation of limits, derivatives and integrals, and
    applications of these concepts in different areas of knowledge.

    Objectives:
    At the end of the course the student is expected to be able to:
    -Calculate limits of functions at given points.
    -Analyze continuity of functions.
    -Differentiate functions.
    -Understand the differences between average and instantaneous rates of change.
    -Understand algebraically and graphically the concept of derivative.
    -Solve simple optimization problems.
    -Analyze graphs, by finding extrema, points of inflection and asymptotes.
    -Integrate functions.
    -Interpret the integral of a function.
    -Apply the fundamental theorem of calculus.

    Evaluation:
    Class work and participation 20%
    Homework 30%
    Final Exam 50%

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.

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.