General Course Information for MTH222: Calculus III

Course: MTH222 - Calculus III
Textbook: For the correct edition of the textbook assigned to a specific class, go to:

Course Prerequisite(s):
Course Description: A study of sequences, Taylor Polynomials, infinite series, and tests for convergence, and the power series. An overview of ordinary differential equations; the initial-value Problem; exactness and integrating factors; and Bernoulli and higher-order equations with forcing functions. Graphing calculator is required.
Course Learning Outcomes:
  • Clearly demonstrate an ability to employ vector operations and properties to include additive, scalar, and vector cross product operations. Using such fundamental properties, the student will provide evidence of employing vectors to define lines and planes in 3-space, and will demonstrate competence in extending such capability to conic surfaces.
  • Show ability to define vector-valued functions in terms of the scalar functions as components to the basis vectors.
  • Interpret resulting-properties correctly.
  • Successfully differentiate and integrate the scalar components.
  • Provide evidence of understanding and competence in differentiation and integration of functions of more than one variable.
  • Demonstrate sufficient capability with partial derivatives so as to permit derivations of directional derivatives and gradient functions.
  • Develop the elements of Jacobean Matrix.
  • Display capability to incorporate change of variable and other associated applications as specified in the corresponding goal of this syllabus.
  • Understand the comprehension of the classic theorems of mechanics will be evaluated by application to elementary surface.
Specified Program Learning Outcomes:
  • Bachelor of Arts in Mathematics with an Inspired Teaching and Learning Single Subject Credential (California)
    • Develop fundamental knowledge in geometry
    • Employ a variety of reasoning skills and effective strategies for solving problems both within the discipline of mathematics and in applied settings that include non-routine situations
    • Model real world problems with a variety of algebraic and transcendental functions
    • Use current technology tools, such as computers, calculators, graphing utilities, video, and interactive programs that are appropriate for the research and study in mathematics
    • Use language and mathematical symbols to communicate mathematical ideas in the connections and interplay among various mathematical topics and their applications that cover range of phenomena across appropriate disciplines

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