General Course Information for MTH221: Calculus II

Course: MTH221 - Calculus II
Textbook: For the correct edition of the textbook assigned to a specific class, go to:

Course Prerequisite(s):
Course Description:

A discussion of differentiation and integration concepts of the natural logarithm, exponential and inverse trigonometric functions and applications to volumes of revolution, work and arc length. Covers improper integrals and highlights ideas and contributions of Natpier, Huygens and Pascal. Graphing calculator is required.

Course Learning Outcomes:
  • Show ability to formulate the functional representations of incremental components of area, volume, surface-area, work, fluid pressure, and be proficient in carrying these through to the integrand of the appropriate definite integral. The student will be successful in retrieving the antiderivative, and evaluating it, during the computation of such integrals.
  • Interpret the concept of a definite integral geometrically, numerically, and analytically (e.g., limit of Riemann sums)
  • Demonstrate capability to produce an inverse functions, when they exist. Show evidence of solid grasp of the differentiation and integration formulas and rules associated with inverse functions.
  • Derive antiderivatives by knowledgeable appeal to the more sophisticated methods of integration by parts, recursion, trigonometric substitution, and partial fractions. The student will demonstrate ability to set up numerical approximations to definite integrals for which closed-form solutions may be impractical to attain. The student will be able to recognize such circumstances.
  • Provide evidence of recognition and understanding of behavior of infinite sequences and series. Demonstrate techniques for testing their absolute or conditional convergence, if any. The student will recognize the appropriate logarithmic or trigonometric function to which the power series converges. Similarly, for each such function, the student will be able to generate associated partial sequences of the Maclaurin and Taylor series.
  • Compute with conic sections properties presented in algebraic, polar, and other parametric form. Lengths of arc, surface areas, and an understanding of applications to specific problems will be demonstrated.

Students with Disabilities:
Students seeking special accommodations due to a disability must submit an application with supporting documentation, as explained under this subject heading in the General Catalog. Instructors are required to provide such accommodations if they receive written notification from the University.

Writing Across the Curriculum:
Students are expected to demonstrate writing skills in describing, analyzing and evaluating ideas and experiences. Written reports and research papers must follow specific standards regarding citations of an author's work within the text and references at the end of the paper. Students are encouraged to use the services of the University's Writing Center when preparing materials.

The following website provides information on APA, MLA, and other writing and citation styles that may be required for term papers and the like:

National University Library:
National University Library supports academic rigor and student academic success by providing access to scholarly books and journals both electronically and in hard copy. Print materials may be accessed at the Library in San Diego or through document delivery for online and regional students. Librarians are available to provide training, reference assistance, and mentoring at the San Diego Library and virtually for online or regional students. Please take advantage of Library resources:


Contact the Library:

  • (858) 541-7900 (direct line)
  • 1-866-NU ACCESS x7900 (toll free)

Use the Library Training Tools (on the Library Homepage) for additional help

  • Recorded class presentations
  • Tutorials & Guides (APA/MLA, Peer-Review, and more)

Plagiarism is the presentation of someone else's ideas or work as one's own. Students must give credit for any information that is not either the result of original research or common knowledge. If a student borrows ideas or information from another author, he/she must acknowledge the author in the body of the text and on the reference page. Students found plagiarizing are subject to the penalties outlined in the Policies and Procedures section of the University Catalog, which may include a failing grade for the work in question or for the entire course. The following is one of many websites that provide helpful information concerning plagiarism for both students and faculty:

Ethical behavior in the classroom is required of every student. The course will identify ethical policies and practices relevant to course topics.

Students are expected to be competent in using current technology appropriate for this discipline. Such technology may include word processing, spreadsheet, and presentation software. Use of the internet and e-mail may also be required.

Learning to work with and value diversity is essential in every class. Students are expected to exhibit an appreciation for multinational and gender diversity in the classroom.

As a diverse community of learners, students must strive to work together in a setting of civility, tolerance, and respect for each other and for the instructor. Rules of classroom behavior (which apply to online as well as onsite courses) include but are not limited to the following:

  • Conflicting opinions among members of a class are to be respected and responded to in a professional manner.
  • Side conversations or other distracting behaviors are not to be engaged in during lectures, class discussions or presentations
  • There are to be no offensive comments, language, or gestures