Linking Course-Level Outcomes with Discipline-Specific Competencies and Assessment Methods s4

CHIPOLA COLLEGE COURSE SYLLABUS

COURSE TITLE: COURSE NUMBER:

CALCULUS AND ANALYTIC GEOMETRY III MAC 2313

COURSE DESCRIPTION:

This course includes: the study of lines, planes and surfaces in space, functions of several variables, limits and continuity, partial derivatives of functions of several variables, extrema of functions of two variables, iterated integrals using polar, cylindrical and spherical coordinates, differentiation , integration and applications of vector-valued functions and vector fields : calculations of line integrals and flux integrals, the use of Green’s Theorem, Divergence theorem and Stoke’s Theorem. 4 semester hours credit.

PREREQUISITES: Prerequisite: MAC 2312

NAME(S) OF INSTRUCTOR(S): Dr. Kitty Myers

DATE OF LATEST REVISION: Spring, 2009

REQUIRED TEXTBOOKS: Calculus, Larson, Hostetler, Edwards, Houghton Mifflin, 2006, Eighth Edition ISBN: 0-618-50298-X A graphing calculator is required for this course. Any graphing calculator is acceptable. The instructor will be using a Texas Instrument model 82, 83 or 92.

GRADING POLICIES: The standing of a student in each course is expressed by one of the following letters and corresponding grading system: A – 100 – 93 B – 92 – 83 C – 82 – 70 D – 69 – 60 F – 59 or less

See your First Day Handout for individual instructor practices. The Chipola Catalog provides specific information regarding other outcomes from the grading

MAC 2313 1 system. A student’s Grade Point Average is derived from the grading system/quality point scale.

DISCIPLINE-SPECIFIC MATHEMATICS COMPETENCIES / LEARNING OUTCOMES:

The General Education discipline-specific competencies in Area 3 –Mathematics are listed below. The student will be able to:

M-1 Apply arithmetic, algebraic, geometric, and higher-order thinking skills to modeling and solving real-world situations.

M-2 Represent and evaluate basic mathematical information verbally, numerically, graphically, and symbolically.

M-3. Expand mathematical reasoning skills to develop convincing mathematical arguments.

M-4 Use appropriate technology to enhance mathematical thinking and understanding and to solve mathematical problems and judge the reasonableness of the results.

M-5 Interpret mathematical models such as formulas, graphs, tables and schematics, and draw inferences from them.

M-6 Develop the view that mathematics is an evolving discipline, interrelated with human culture, and understand its connections to other disciplines.

MAC 2313 is not a General Education core course and therefore a student in MAC 2313 will demonstrate selected learning outcomes from this list.

STUDENT LEARNING OUTCOMES/OBJECTIVES FOR MAC 2313:

See chart, last page.

MEANS OF ACCOMPLISHING OUTCOMES: Teacher facilitated: The teacher will be leading class discussions on the material contained in the text during each class period.

Student-centered: The students will be solving problems during each class period using their own graphing calculators. Students will use MAPLE to perform difficult differentiation and integration problems and to graph functions. They will also use it for the study of vector fields.

Office Hours: The instructor will be available during office hours for individual assistance. The instructor’s schedule can be found posted on their office door and/or via their individual web site. Math Lab tutors: Student tutors are available in the lab to provide individualized help. Hours

MAC 2313 2 can be found posted each semester on the lab door and/or via the web site.

LIBRARY AND ON-LINE REFERENCE MATERIALS:

The library is a comprehensive, learning resource center providing information in print, electronic, and multimedia format to support the educational objectives of the College. In addition to print media, online catalogs and resources can be accessed through www.linccweb.org and www.netlibrary.com. Library hours are posted each semester at the building entrance.

Chipola’s website is located at www.chipola.edu.

Supplemental Materials for MAC 2313:

The Math and Science Laboratory link on the Chipola homepage has extensive links for tutorial, practice and exploratory activities.

The instructor’s homepage has links to web resources for enrichment and practice. Sample chapter tests with answer keys may be also accessed from the homepage.

See your First Day Handout for individual instructor recommendations and resources.

TECHNOLOGY RESOURCES:

The Information Technology Center, located in the library, is equipped with computer workstations. Lab hours are posted each semester at the building entrance.

The Math/Science Lab, located in the Natural Science Building (D), is equipped with computer workstations. These workstations access the internet as well as specific math software pertinent to this course. A solution manual for homework problems associated with the specific text are also available for student use. Hours will be posted on the lab door and on the lab web site.

ASSSIGNMENT SCHEDULE:

See your First Day Handout for individual instructor assignment schedule.

ATTENDANCE AND WITHDRAWAL POLICIES:

Chipola College expects regular attendance of all students. Students who are absent from classes for any reason other than official college activities must satisfy the instructor concerned that the absence was due to illness or other clearly unavoidable reasons. Otherwise, the student may suffer grade loss at the discretion of the instructor.

Chipola policy allows each instructor to specify in the course handout the attendance policy. It also allows the instructor to decide whether or not an absence is excusable and what affect the absence or tardy may have on the grade.

MAC 2313 3 A student is allowed to repeat a course a maximum of three (3) times. On the third attempt a student (1) must bear the full cost of instruction, (2) cannot withdraw, and (3) must receive a grade.

See your First Day Handout for individual instructor or department-specific attendance and withdrawal policy.

MAKE-UP POLICY:

Chipola allows each instructor to specify in the instructor handout the makeup policy. Please see your first day handout for individual instructor policy.

ACADEMIC HONOR CODE POLICY:

Students are expected to uphold the Academic Honor Code. Chipola College’s Honor Code is based on the premise that each student has the responsibility to: 1) uphold the highest standards of academic honesty in his/her own work; 2) refuse to tolerate academic dishonesty in the college community; and 3) foster a high sense of honor and social responsibility on the part of students.

Further information regarding the Academic Honor Code may be found in the Chipola Catalog, Student Governance section.

STUDENTS WITH DISABILITIES POLICY: Chipola College is committed to making all programs and facilities accessible to anyone with a disability. Chipola’s goal is for students to obtain maximum benefit from their educational experience and to effectively transition into the college environment.

Students with disabilities are requested to voluntarily contact the Office of Students with Disabilities to complete the intake process and determine their eligibility for reasonable accommodations.

MAC 2313 4 LINKING COURSE-LEVEL OUTCOMES WITH DISCIPLINE-SPECIFIC COMPETENCIES AND ASSESSMENT METHODS

COURSE-LEVEL STUDENT LEARNING OUTCOMES COLLEGE-LEVEL AND DISCIPLINE- ASSESSMENT FOR MAC 2313 SPECIFIC METHODS GENERAL USED BY EDUCATION FACULTY** The student will: COMPETENCIES Learn how to find parametric and symmetric equations of a line M-1, M-2, M3, HW, UT, F in space. Find the standard equation of a plane given a vector M-4, M-5, normal to the plane and a point in the plane or given any three T-1, T-2, T-5 non collinear points on the plane. Learn the representation of common surfaces in space and students are introduced to cylindrical and spherical coordinates.

Be introduced to vector-valued functions. They learn to M-1, M-2, M-3, HW, UT, F differentiate and integrate vector-valued functions. See M-4, M-5, M-6, applications such as velocity acceleration and normal and T-5, NS-2 tangent vectors.

Be introduced to functions of several variables. The will M-1, M-2, M-3, HW, UT, F discuss limits and continuity of these. They will find partial M-4, M-5, M-6, derivatives, differentials, directional derivatives and gradients T-1, T-2, T-5, of functions of two and three variables. They will use the chain NS-2 rule in application problems. Find tangent planes and normal lines to surfaces and will learn how to find extrema of functions of two variables.

Study iterated integrals and how to find area of regions in the M-1, M-2, M-3, HW, UT, F plane. Study double integrals and volume in rectangular and M-4, M-5, T-1, polar coordinates. Evaluate triple integrals in rectangular, T-2 cylindrical and spherical coordinates. Change variables using Jacobians.

Study vector fields. Learn how to evaluate line integrals and M-1, M-2, M-3, HW, UT, F flux integrals directly or by using Fundamental Theorem for M-4, M-5, T-2 Line Integrals, Green’s Theorem the Divergence Theorem or Stoke’s Theorem.

** Assessment Codes UT= Unit Tests F = Final HW = Homework For a list of Chipola’s College-Level Competencies, see www.chipola.edu.

MAC 2313 5