> []Z 6#bjbj 4Pxx{vv8%4Yu+*******$c-0`++/+**(|`*1E^nd)*E+0u+v)e0e0$`*e0`*++u+e0v : DESCRIPTOR Math 221
Discipline: Sub-discipline:General Course Title: Single Variable Calculus II Late Transcendentals
Min. Units 4 semesterGeneral Course Description:
A second course in differential and integral calculus of a single variable: integration; techniques of integration; infinite sequences and series; polar and parametric equations; applications of integration. Primarily for Science, Technology, Engineering & Math Majors.
Number: Math 221 (from TCSU, CAN 20)Suffix: Any rationale or comment
Required Prerequisites or Co-Requisites
Prerequisite: Single Variable Calculus I Late Transcendentals (Math 211, CAN 18).
Advisories/Recommended Preparation
Course Content:
Derivatives and integrals of inverse functions and transcendental functions such as trigonometric, exponential or logarithmic;
Indeterminate forms and L'Hopital's Rule;
Additional techniques of integration including integration by parts and trigonometric substitution;
Numerical integration; trapezoidal and Simpson's rule;
Improper integrals;
Additional applications such as work, volumes, arc length, area of a surface of revolution, moments and centers of mass, separable differential equations, growth and decay;
Introduction to sequences and series;
Multiple tests for convergence of sequences and series;
Power series, radius of convergence, interval of convergence;
Differentiation and integration of power series;
Taylor series expansion of functions;
Parametric equations and calculus with parametric curves; and
Polar curves and calculus in polar coordinates.
Laboratory Activities: (if applicable)
Course Objectives: Upon successful completion of the course, students will be able to:
Evaluate indeterminate forms using L'Hopital's Rule;
Find derivatives of transcendental functions;
Evaluate definite and indefinite integrals using a variety of integration formulas and techniques;
Use integration to solve applications such as work or length of a curve;
Evaluate improper integrals;
Apply convergence tests to sequences and series;
Represent functions as power series; and
Graph, differentiate and integrate functions in polar and parametric form.
Methods of Evaluation:
Tests, examinations, homework or projects where students demonstrate their mastery of the learning objectives and their ability to devise, organize and present complete solutions to problems.
Sample Textbooks, Manuals, or Other Support Materials
A college level textbook designed for science, technology, engineering and math majors, and supporting the learning objectives of this course.
FDRG Lead Signature: Date: [For Office Use Only] Internal Tracking NumberDescriptor Guide Sheet
Discipline: The discipline has been determined and is entered.
Subdiscipline: You may decide that a sub-discipline will serve your discipline best. For example, biology faculty may or may not decide to identify subdivisions (cellular vs. organismic, or marine, or ecology/environmental). Discipline faculty will determine what best serves their needs.
General Course Title: Insert a course name in this field that is generally used and will be widely recognized. It need not be the actual course title at all colleges or universities but should describe the topic of the course.
Minimum Units: Indicate the minimum number of units expected of this course, based on semester configuration; we will later offer a conversion into quarter units.
Proposed Number: Use the numbering protocol to assign a tentative number to the course; like the sub-discipline or general course title, during your drafting stages, this number can be changed.
Proposed Suffix: If desirable, add an L after the number in the box to indicate a lab; or an S to indicate this course is part of a sequence.
Rationale or Comment: Use this space to provide explanation to the field about the number; during the drafting stage, you may also use this space to record a request for an additional suffix or modification of the numbering protocol.
Required Prerequisites or Co-Requisites: List any courses required to be completed prior to taking the listed course; if there is not agreement among segmental faculty about the prerequisites, you might consider describing a similar course without those prerequisites or listing only Advisories/Recommended Preparation (see below). A co-requisite does not mean in the CCCs what it may mean for the 4-year institutions.
Advisories/Recommended Preparation: These recommendations for courses, experiences, or preparation need not be validated; they can be good-faith and generally accepted recommendations from discipline faculty that further the students chances of success in this or subsequent courses.
Course Content: Count content should list all the expected and essential topics of the course. If this course is a lab/lecture combination, the Lab content should be spelled out separately.
Course Objectives: List the course objectives, competencies, or skills that the students should be able to demonstrate upon completion of the course. Community college faculty should be attentive to explicitly linking the objectives to the topics covered. If this course is a lab/lecture combination, again the learning objectives should be spelled out separately and be linked to the topics covered in the lab component of the course. Use additional sheets as needed.
Methods of Evaluation: List those methods you anticipate would be used to observe or measure the students achievement of course objectives (e.g., quizzes, exams, laboratory work, field journals, projects, research, demonstrations, etc.)
Textbooks: Recent (published within the past 5-6 years) college-level texts, materials, software packages can be suggested here. While texts used by individual institutions and even individual sections will vary, enter examples of representative work. If this is a lab course or a lab/lecture section, remember to include an example of a lab manual.
FDRG Leads Signature and Date: When the descriptor template has been finalized by the FDRG is in final form and is ready for posting, the Lead should send this completed and signed document to Katey Lewis at HYPERLINK "mailto:Katey@asccc.org" Katey@asccc.org who will post the descriptor and solicit review and comment prior to finalizing the descriptor for the next phase of the C-ID Project.
Prerequisite or co-requisite course need to be validated at the CCC level in accordance with Title 5 regulations; co-requisites for CCCs are the linked courses that must be taken at the same time as the primary or target course.
Advisories or recommended preparation will not require validation but are recommendations to be considered by the student prior to enrolling.
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