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ROCHESTER INSTITUTE OF TECHNOLOGY
COURSE OUTLINE FORM
COLLEGE OF SCIENCE
School of Mathematical Sciences
X New
Revised COURSE: COS-MATH-161 Applied Calculus
1.0 Course designations and approvals:
Required Course Approvals:
Academic Unit Curriculum Committee
College Curriculum Committee
Optional Course Designations:
Yes
No
Approval
Request Date
4-08-10
11-01-10
Approval
Grant Date
4-28-10
11-17-10
Approval
Request Date
Approval
Grant Date
X
General Education
Writing Intensive
Honors
X
X
2.0 Course information:
Course Title:
Applied Calculus
Credit Hours:
4
Prerequisite(s):
C or better in COS-MATH-101 or -111 or -131, or a score of at least
55% on the RIT Mathematics Placement Exam
Co-requisite(s):
None
Course proposed by: School of Mathematical Sciences
Effective date:
Fall 2013
Classroom
Lab
Workshop
Other (specify)
Contact Hours
4
Maximum Students/section
35
2.1 Course conversion designation: (Please check which applies to this course)
Semester Equivalent (SE) to:
X Semester Replacement (SR) to: 1016-214 and 1016-215 and to 1016-226
New
2.2 Semester(s) offered:
X Fall
X Spring
Offered every other year only
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Summer
Other
2.3 Student requirements:
Students required to take this course: (by program and year, as appropriate)
First-year Biology, Biotechnology, Accounting, Management, Marketing, Finance, International Business, Biomedical Sciences, Physician Assistant, Diagnostic Medical
Sonography, and Packaging Science majors and some Biomedical Computing and
Economics majors
Students who might elect to take the course:
Business Administration and Information Technology majors as well as majors in other
areas who want to continue a study of mathematics begun in high school
3.0 Goals of the course: (including rationale for the course, when appropriate)
3.1 To learn the basic definitions, concepts, rules, vocabulary, and mathematical notation
of differential and integral calculus.
3.2 To practice the necessary manipulative skills needed to solve problems involving differential and integral calculus.
3.3 To provide a background in mathematics necessary to a study of business, economics
and medical sciences.
4.0 Course description: (as it will appear in the RIT Catalog, including pre- and co-requisites,
semesters offered)
COS-MATH-161
Applied Calculus
This course is an introduction to the study of differential and integral calculus, including the
study of functions and graphs, limits, continuity, the derivative, derivative formulas, applications of derivatives, the definite integral, the fundamental theorem of calculus, basic techniques of integral approximation, exponential and logarithmic functions, basic techniques
of integration, an introduction to differential equations, and geometric series. Applications
in business, management sciences and life sciences will be included with an emphasis on
manipulative skills. (C or better in COS-MATH-101 or -131, or a score of at least 55% on
the RIT Mathematics Placement Exam) Class 4, Credit 4 (F, S)
5.0 Possible resources: (texts, references, computer packages, etc.)
5.1 Tan, Applied Calculus For the Managerial, Life, and Social Sciences, Brooks/Cole,
Pacific Grove, CA.
6.0 Topics: (outline) Topics with an asterisk(*) are at the instructor’s discretion, as time permits
6.1 Derivatives
6.1.1
6.1.2
6.1.3
6.1.4
6.1.5
6.1.6
6.1.7
Limits and continuity
Definition of the derivative
Rules of differentiation
Tangent lines
Higher order derivatives
Implicit differentiation
Derivatives of exponential and logarithmic functions
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6.2 Applications of the Derivative
6.2.1
6.2.2
6.2.3
6.2.4
Related rates
Curve sketching
Optimization
Applications of exponential and logarithmic functions
6.3 Integration
6.3.1
6.3.2
6.3.3
6.3.4
6.3.5
Antiderivatives and the indefinite integral
Area and the definite integral
Fundamental theorem of calculus
Evaluating the definite integral
Substitution
6.4 Applications of the Integral
6.4.1
6.4.2
6.4.3
6.4.4
Area between curves
Applications of the definite integral to business and economics
Applications of the definite integral to life sciences
Numerical integration
6.5 Additional Topics
6.5.1
6.5.2
6.5.3
6.5.4
6.5.5
Introduction to the solution of differential equations
Separable differential equations
Applications of differential equations
Sequences
Geometric series
7.0 Intended learning outcomes and associated assessment methods of those outcomes:
7.1 Define basic concepts and notation of calculus
7.2 Differentiate and integrate elementary functions
7.3 Demonstrate the necessary skills required to solve problems
in differential and integral calculus
7.4 Use differential and integral calculus in solving applied problems
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X
X
Class Presentation
X
X
X
Computer Work
X
X
X
Project
Quiz/Exam/Final
Learning Outcomes
Homework
Assessment Methods
8.0 Program goals supported by this course:
8.1 To develop an understanding of the mathematical framework that supports engineering,
science, and mathematics.
8.2 To develop critical and analytical thinking.
8.3 To develop an appropriate level of mathematical literacy and competency.
8.4 To provide an acquaintance with mathematical notation used to express physical and
natural laws.
9.0 General education learning outcomes and/or goals supported by this course:
9.1
9.2
9.3
9.4
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Class Presentation
Computer Work
General Education Learning Outcomes
Communication
Express themselves effectively in common college-level
written forms using standard American English
Revise and improve written and visual content
Express themselves effectively in presentations, either in
spoken standard American English or sign language (American Sign Language or English-based Signing)
Comprehend information accessed through reading and discussion
Intellectual Inquiry
Review, assess, and draw conclusions about hypotheses and
theories
Analyze arguments, in relation to their premises, assumptions, contexts, and conclusions
Construct logical and reasonable arguments that include anticipation of counterarguments
Use relevant evidence gathered through accepted scholarly
methods and properly acknowledge sources of information
Ethical, Social and Global Awareness
Analyze similarities and differences in human experiences
and consequent perspectives
Examine connections among the world’s populations
Identify contemporary ethical questions and relevant stakeholder positions
Scientific, Mathematical and Technological Literacy
Project
Quiz/Exam/Final
Homework
Assessment Methods
X
X
9.5
Class Presentation
Computer Work
General Education Learning Outcomes
Explain basic principles and concepts of one of the natural
sciences
Apply methods of scientific inquiry and problem solving to
contemporary issues
Comprehend and evaluate mathematical and statistical in- X X
formation
Perform college-level mathematical operations on quantita- X X
tive data
Describe the potential and the limitations of technology
Use appropriate technology to achieve desired outcomes
Creativity, Innovation and Artistic Literacy
Demonstrate creative/innovative approaches to coursebased assignments or projects
Interpret and evaluate artistic expression considering the
cultural context in which it was created
Project
Quiz/Exam/Final
Homework
Assessment Methods
10.0 Other relevant information: (such as special classroom, studio, or lab needs, special
scheduling, media requirements, etc.)
• SMS Calculator Policy:
All electronic devices are prohibited on the final exam for this course.
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