FLORIDA STATE COLLEGE AT JACKSONVILLE
COLLEGE CREDIT COURSE OUTLINE
COURSE NUMBER:
MAC 2313
COURSE TITLE:
Calculus with Analytic Geometry III
PREREQUISITE(S):
MAC 2312 with a grade of "C" or better
COREQUISITE(S):
None
CREDIT HOURS:
4
CONTACT HOURS/WEEK:
4
CONTACT HOUR BREAKDOWN:
Lecture/Discussion:
4
Laboratory:
Other __________:
FACULTY WORKLOAD POINTS:
4
STANDARDIZED CLASS SIZE ALLOCATION:
25
CATALOG COURSE DESCRIPTION:
This is the third course in the calculus with analytic geometry sequence. Topics included in this course are
polar coordinates, parametric equations, vectors in two and three dimensions, calculus of functions of several
variables, multiple integrals with applications, and Green’s and Stokes’ Theorems. Four contact hours. A.A.,
A.S., A.A.S.
SUGGESTED TEXT(S):
Calculus, Early Transcendental Functions, (latest edition)
Larson, Hostetler & Edwards, Brooks/Cole
Calculus Early Transcendentals, (latest edition), Briggs &
Cochran: Addison Wesley
Calculus: Early Transcendentals, (latest edition) Tan,
Brooks/Cole
IMPLEMENTATION DATE:
November 16, 1987
REVIEW OR MODIFICATION DATE:
Fall Term, 2000
Fall Term, 2002 (20031)
Spring Term, 2005 (20052)
Fall Term, 2007 (20081)
Fall Term 2008 (20091) - Outline Review 2007
Fall Term, 2012 (20131) GER Outline Review 2012
Fall Term, 2015 (20161) – Outline Review 14-15
(No Change)
1
COURSE TOPICS
CONTACT HOURS
PER TOPIC
I. Polar Coordinates and Parametric Equations
A. Parametric forms of lines and circles
B. Derivatives in parametric form
C. Conversion to and from polar coordinates
D. Graphs in polar coordinates
E. Area in polar coordinates
F. Conic sections
12
II. Vectors
16
A.
B.
C.
D.
E.
F.
Vectors in 2-space
Vectors in 3-space
Dot and cross products
Vector-valued functions
Surfaces in 3-space
Lengths of curves, normal vectors
III. Calculus of functions of several variables
A. Functions of several variables
B. Limits and continuity
C. Partial differentiation
D. Chain rule and directional derivatives
E. Tangent planes and normal lines
F. Maximum/Minimum problems
14
IV. Multiple Integrals
A. Double integrals
B. Double integrals in polar coordinates
C. Surface area
D. Volume under a surface
E. Change of variables
F. Iterated integrals
G. Triple integrals
H. Triple integrals in cylindrical and spherical coordinates
14
V. Green and Stokes – discussion
4
2
Florida State College at Jacksonville
Course Learning Outcomes and Assessment
SECTION 1
Semester Credit Hours (Credit):
Contact Hours (Workforce):
Course Prefix and Number:
MAC 2313
Course Title:
Calculus with Analytic Geometry III
4
SECTION 2a (To be completed for General Education courses only.)
TYPE OF COURSE (Place an “X” in the box next to those that are applicable.)
General Education Core (If selected, core discipline area will be identified in Section 4.)
X General Education (If selected, you must also complete Section 4, Section 5, and Section 8)
SECTION 2b
TYPE OF COURSE (Place an “X” in the box next to those that are applicable.)
A.A. Elective
A.S. Required Course
A.S. Professional Elective
A.A.S. Required Course
PSAV/Clock Hour/Workforce
Upper Division/Bachelors
A.A.S. Professional Elective
Technical Certificate
Development Education
Apprenticeship
Other:
If selected, use this space to title “other” option.
SECTION 3
INTELLECTUAL COMPETENCIES (Place an “X” in the box next to those that are applicable.)
Reading
Speaking
Writing
Listening
X
Critical Analysis
X
Information
Literacy
Qualitative Skills
Ethical Judgement
Scientific Method of
Inquiry
Working
Collaboratively
SECTION 4 (To be completed for General Education courses only.)
GENERAL EDUCATION DISCIPLINE AREA (Place an “X” in the box next to those that are applicable.)
Communications
Humanities
X Mathematics
Social and Behavioral Sciences
Natural Sciences
SECTION 5 (To be completed for General Education courses only.)
GENERAL EDUCATION LEARNING OUTCOME AREA (Place an “X” in the box next to those that are applicable.)
Communication
X
Critical Thinking
Information Literacy
X Scientific and Quantitative Reasoning
Global Sociocultural Responsibility
SECTION 6
LEARNING OUTCOMES
TYPE OF OUTCOME
(General Education,
Course or Program)
Students will identify the nature of
mathematical problems.
Gen. Ed /Discipline
Students will formulate /translate problems
into mathematical language.
Gen. Ed /Discipline
Students will use various mathematical
methods to correctly solve problems.
Gen. Ed /Discipline
METHOD OF ASSESSMENT
Curriculum-embedded multiple choice
questions from a standard test-bank
developed by the department.
Curriculum-embedded multiple choice
questions from a standard test-bank
developed by the department.
Curriculum-embedded multiple choice
questions from a standard test-bank
developed by the department.
3
SECTION 6 (Continued)
LEARNING OUTCOMES
Students will use critical thinking in
interpreting data and/or drawing conclusions
from the results of a mathematical problems
Students will use technology as appropriate in
analyzing data or solving mathematical
problems.
Students will be able to represent and explain
mathematical information graphically verbally
numerically and symbolically.
TYPE OF OUTCOME
(General Education,
Course or Program)
Gen. Ed /Discipline
Gen. Ed /Discipline
Discipline
Convert from polar to rectangular coordinates,
and from rectangular to polar coordinates.
Course
Graph a function defined using polar
coordinates.
Course
Calculate the area of a region defined by
polar coordinates
Course
Graph curves defined by parametric
equations.
Course
Calculate arc length of a curve defined by
parametric equations.
Course
Demonstrate understanding of vectors in 2
and 3 dimensions.
Course
Show familiarity with vector valued functions.
Course
METHOD OF ASSESSMENT
Curriculum-embedded multiple choice
questions from a standard test-bank
developed by the department
Curriculum-embedded multiple choice
questions from a standard test-bank
developed by the department
Curriculum-embedded multiple choice
questions from a standard test-bank
developed by the department
Students complete in-class, out-of-class or
online assignments that may include one or
more of the following: homework, quizzes,
tests, oral or written presentations, article
critiques, reports/minute papers, portfolios, or
projects
Students complete in-class, out-of-class or
online assignments that may include one or
more of the following: homework, quizzes,
tests, oral or written presentations, article
critiques, reports/minute papers, portfolios, or
projects
Students complete in-class, out-of-class or
online assignments that may include one or
more of the following: homework, quizzes,
tests, oral or written presentations, article
critiques, reports/minute papers, portfolios, or
projects
Students complete in-class, out-of-class or
online assignments that may include one or
more of the following: homework, quizzes,
tests, oral or written presentations, article
critiques, reports/minute papers, portfolios, or
projects
Students complete in-class, out-of-class or
online assignments that may include one or
more of the following: homework, quizzes,
tests, oral or written presentations, article
critiques, reports/minute papers, portfolios, or
projects
Students complete in-class, out-of-class or
online assignments that may include one or
more of the following: homework, quizzes,
tests, oral or written presentations, article
critiques, reports/minute papers, portfolios, or
projects
Students’ complete in-class, out-of-class or
online assignments that may include any one
or a combination of the following: homework,
quizzes, tests, oral or written presentations,
article critiques, reports/minute papers,
portfolios, or projects. Some assessment may
require the use of calculators or computer
programs.
4
SECTION 6 (Continued)
LEARNING OUTCOMES
TYPE OF OUTCOME
(General Education,
Course or Program)
Draw surfaces in 3 dimensions.
Course
Work with functions of several variables.
Course
Calculate limits of functions of several
variables.
Course
Understand continuity of functions of several
variables.
Course
Calculate partial derivatives of functions of
several variables.
Course
Calculate the total differential of functions of
several variables.
Course
METHOD OF ASSESSMENT
Students’ complete in-class, out-of-class or
online assignments that may include any one
or a combination of the following: homework,
quizzes, tests, oral or written presentations,
article critiques, reports/minute papers,
portfolios, or projects. Some assessment may
require the use of calculators or computer
programs.
Students’ complete in-class, out-of-class or
online assignments that may include any one
or a combination of the following: homework,
quizzes, tests, oral or written presentations,
article critiques, reports/minute papers,
portfolios, or projects. Some assessment may
require the use of calculators or computer
programs.
Students’ complete in-class, out-of-class or
online assignments that may include any one
or a combination of the following: homework,
quizzes, tests, oral or written presentations,
article critiques, reports/minute papers,
portfolios, or projects. Some assessment may
require the use of calculators or computer
programs.
Students’ complete in-class, out-of-class or
online assignments that may include any one
or a combination of the following: homework,
quizzes, tests, oral or written presentations,
article critiques, reports/minute papers,
portfolios, or projects. Some assessment may
require the use of calculators or computer
programs.
Students’ complete in-class, out-of-class or
online assignments that may include any one
or a combination of the following: homework,
quizzes, tests, oral or written presentations,
article critiques, reports/minute papers,
portfolios, or projects. Some assessment may
require the use of calculators or computer
programs.
Students’ complete in-class, out-of-class or
online assignments that may include any one
or a combination of the following: homework,
quizzes, tests, oral or written presentations,
article critiques, reports/minute papers,
portfolios, or projects. Some assessment may
require the use of calculators or computer
programs.
5
SECTION 6 (Continued)
LEARNING OUTCOMES
TYPE OF OUTCOME
(General Education,
Course or Program)
Apply the chain rule to functions of several
variables.
Course
Calculate directional derivatives and
gradients using functions of several variables.
Course
Find tangent planes to surfaces defined by
functions of several variables.
Course
Find normal lines to surfaces defined by
functions of several variables.
Course
Calculate the value of double integrals in
rectangular and polar coordinates.
Course
Calculate surface area and volume under a
surface.
Course
Change from rectangular to cylindrical or
spherical coordinates.
Course
METHOD OF ASSESSMENT
Students’ complete in-class, out-of-class or
online assignments that may include any one
or a combination of the following: homework,
quizzes, tests, oral or written presentations,
article critiques, reports/minute papers,
portfolios, or projects. Some assessment may
require the use of calculators or computer
programs.
Students’ complete in-class, out-of-class or
online assignments that may include any one
or a combination of the following: homework,
quizzes, tests, oral or written presentations,
article critiques, reports/minute papers,
portfolios, or projects. Some assessment may
require the use of calculators or computer
programs.
Students’ complete in-class, out-of-class or
online assignments that may include any one
or a combination of the following: homework,
quizzes, tests, oral or written presentations,
article critiques, reports/minute papers,
portfolios, or projects. Some assessment may
require the use of calculators or computer
programs.
Students complete in-class, out-of-class or
online assignments that may include one or
more of the following: homework, quizzes,
tests, oral or written presentations, article
critiques, reports/minute papers, portfolios, or
projects
Students’ complete in-class, out-of-class or
online assignments that may include any one
or a combination of the following: homework,
quizzes, tests, oral or written presentations,
article critiques, reports/minute papers,
portfolios, or projects. Some assessment may
require the use of calculators or computer
programs.
Students complete in-class, out-of-class or
online assignments that may include one or
more of the following: homework, quizzes,
tests, oral or written presentations, article
critiques, reports/minute papers, portfolios, or
projects
Students complete in-class, out-of-class or
online assignments that may include one or
more of the following: homework, quizzes,
tests, oral or written presentations, article
critiques, reports/minute papers, portfolios, or
projects
6
SECTION 6 (Continued)
LEARNING OUTCOMES
TYPE OF OUTCOME
(General Education,
Course or Program)
Understand how to evaluate iterated and triple
integrals.
Course
Evaluate triple integrals using spherical and
cylindrical coordinates.
Course
Demonstrate familiarity with vector fields.
Course
Demonstrate ability to evaluate line integrals.
Course
Understand how to use the fundamental
theorem of line integrals.
Course
Demonstrate familiarity with Green’s
Theorem, Stokes’ Theorem and Divergence
Theorem.
Course
METHOD OF ASSESSMENT
Students complete in-class, out-of-class or
online assignments that may include one or
more of the following: homework, quizzes,
tests, oral or written presentations, article
critiques, reports/minute papers, portfolios, or
projects
Students complete in-class, out-of-class or
online assignments that may include one or
more of the following: homework, quizzes,
tests, oral or written presentations, article
critiques, reports/minute papers, portfolios, or
projects
Students complete in-class, out-of-class or
online assignments that may include one or
more of the following: homework, quizzes,
tests, oral or written presentations, article
critiques, reports/minute papers, portfolios, or
projects
Students complete in-class, out-of-class or
online assignments that may include one or
more of the following: homework, quizzes,
tests, oral or written presentations, article
critiques, reports/minute papers, portfolios, or
projects
Students complete in-class, out-of-class or
online assignments that may include one or
more of the following: homework, quizzes,
tests, oral or written presentations, article
critiques, reports/minute papers, portfolios, or
projects
Students complete in-class, out-of-class or
online assignments that may include one or
more of the following: homework, quizzes,
tests, oral or written presentations, article
critiques, reports/minute papers, portfolios, or
projects
SECTION 7
Faculty name(s):
Cyrus Kitto
Date:
03/12/2011
CS20150615
7
SECTION 8 (To be completed for General Education Courses only.)
KNOWLEDGE AND VALUE (Place an “X” in the box to indicate primary or secondary option.)
KNOWLEDGE
Global and Historical Knowledge and Understanding
 Comprehends a general knowledge of the nature, origins and contributions
of major civilizations
 Comprehends the workings and interrelations of personal, business and
government economies
 Comprehends political, social and economic systems and their effects upon
society
Primary
Secondary
N/A
X
X
X
Cultural and Aesthetic Knowledge and Understanding
 Comprehends the contributions of the arts and humanities to the human
experience on a personal, national or global level
 Comprehends the historical development of the arts and sciences
 Comprehends religious and cultural systems and their effects upon society
Primary
Human Awareness and Understanding
 Comprehends the dynamics of human behavior and the process of
increasing self-awareness, growth and development
 Comprehends the stages of human development and the dynamics of
human relationships in diverse cultures
 Comprehends the factors that promote physical, mental and social well-being
Primary
Mathematics, Science and Technology
 Comprehends the basic concepts and investigative processes of the natural
sciences
 Comprehends the breadth, significance and development of the
mathematical sciences
 Comprehends the ways science and technology have shaped and continue
to reshape human cultures and the environment
Primary
Secondary
N/A
X
X
X
Secondary
N/A
X
X
X
Secondary
N/A
X
X
X
VALUE
Description
Primary




Intellectual honesty
Curiosity and openness to new ideas
Recognition of one’s own creative potential
Acceptance of and respect for differences among people and cultures


Civic Engagement
Lifelong Learning
Secondary
N/A
X
X
X
X
X
X
SECTION 9
Faculty name(s):
Cyrus Kitto and Bill Meisel
Date:
03/12/2011
CS20150615
8