Calculus II Course Overview

  • MATH 1021 is a four-credit calculus course that continues the study of calculus. More techniques of integration will be investigated in this course. The concepts of limits, differentiation, and integration will be applied to problems in differential equations, sequences, series, and Taylor series. Parametric equations, polar coordinates, and vectors will also be introduced.

    *This course is considered an upper-level undergraduate course (300 level or above)

Calculus II Course Outcomes

  • Apply the core concepts of differential and integral calculus to solve problems in Calculus 2:
    • Review of integration: Area approximation, substitution methods, The Fundamental Theorem of Calculus, exponential, logarithmic, and inverse trigonometric functions.
    • Advanced integration techniques: Integration by parts, trigonometric integrals, integration using trigonometric substitution, integration using partial fractions, numerical integration, improper integrals.
    • Differential equations: Direction/slope fields, numerical solutions, separable differential equations, first-order linear equations.
    • Sequences and series: Introduction to sequences and series, infinite series, tests for convergent series.
    • Taylor and Maclaurin series: Definition of Taylor and Maclaurin series, power series.
    • Polar coordinates: Explanation of the polar coordinate system, integration using polar equations, conic sections in polar coordinates.
    • Parametric equations: Introduction to parametric equations, calculus using parametric curves
    • Vectors: Introduction to vectors, dot product, cross product, equations of lines and planes in space.
  • Utilize numerical, graphical, analytical and approximation models in pure and applied settings.
  • Develop visual literacy of mathematical concepts through graphical analysis.
  • Communicate mathematical concepts and apply complex symbolic representation in written, verbal, and technological settings.
  • Develop the ability to identify and apply multiple mathematical problem-solving techniques for a specific situation.
  • Gain introductory level knowledge appropriate to a single variable calculus course of mathematical definitions and proofs of key theorems.

    Calculus II Course Prerequisites

    • One semester of college-level calculus (MATH 1020)

    *Please note these prerequisites are highly suggested and support course preparedness and success. We recommend having completed the listed prerequisites before enrolling and within the past seven years.

    How do exams work?

    All exams are taken online. Major exams are required to be proctored online through ProctorU. For instructions on how to take your exams online, visit UNE Online’s ProctorU site. Please note exams must also be proctored with the UNE-approved external webcam.


    How do labs work?

    • MATH 1021 is a lecture-only course. We do not offer an associated lab component for this course.
    Tuition & Fees

    MATH 1021: Lecture


    • Credits: 4
    • Tuition: $1,760
    • Registration: $30
    • Total: $1,790*

    *Total payment is due in full at the time of registration. The cost of the materials is not included in this total.

    Required course materials

    • Mandatory External Webcam and Whiteboard for Proctored Exams
    • Textbook:
    • Lab Materials:
      • MATH 1021 is a lecture-only course. We do not offer a lab component and therefore no lab materials are needing to be purchased.
    As a Reminder

    Complete at Your Own Pace within 16 weeks

    24/7 Online Registration

    Courses Typically Begin Every Two to Three Weeks

    Working at the pace typical for a four-semester hour course, the average student will complete this online course in approximately 16 weeks. Many students have elected an online course for the sake of flexibility. Since the course is self-paced, you may be able to complete the course in less than 16 weeks.

    You may enroll for a course at any time through our self-service registration portal. Payment is needed in full at the time of registration.

    You must be registered for your class by 12:00 noon EST the Monday before the class starts. Your official start date is the date that the course opens and you will have 16 weeks from that date to complete your course.


    Your Dedicated Student Service Advisor




    If you have any questions about registration, the coursework or course requirements, please reach out to one of our student support team members using live chat(see bottom right) or email below.