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JOHN CABOT UNIVERSITY
COURSE CODE: "MA 198"
COURSE NAME: "Calculus I"
SEMESTER & YEAR:
Spring Semester 2012
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SYLLABUS
INSTRUCTOR:
Capparelli Stefano
HOURS:
TTH 17:30-18:45
TOTAL NO. OF CONTACT HOURS:
45
CREDITS:
3
PREREQUISITES:
Prerequisite: Placement or completion of MA 197 with a grade of C- or above
OFFICE HOURS:
TBA
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COURSE DESCRIPTION:
Build a strong understanding of Calculus
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SUMMARY OF COURSE CONTENT:
This course will explore the
fundamental topics of the traditional Calculus such as limits,
continuity, differentiation and antidifferentiation, but mainly
oriented towards business and economics applications of maximization,
minimization, optimization and decision making problems. Particular
emphasis and continual reinforcement will be given on the ability to
analyze a real word problem in mathematical terms, to find its
solution and applicability to real world.
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LEARNING OUTCOMES:
To provide students with the use of
Calculus on a variety of applications, especially in economics and
finance.
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TEXTBOOK:
| Book Title | Author | Publisher | ISBN number | Library Call Number | Comments | Format | Local Bookstore | Online Purchase |
| Calculus, Revised International Edition 9e | Larson | Brooks-Cole | 9780538498647 | | | | | |
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REQUIRED RESERVED READING:
RECOMMENDED RESERVED READING:
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GRADING POLICY
-ASSESSMENT METHODS:
| Assignment | Guidelines | Weight |
| There will be four in class tests | Each test will last a whole class period and will be based on the most
recent material studied in class. Each test will be worth 15 percent of
the final grade for a total of 60 percent. The remaining 40 percent will
be assigned based on the comprehensive final examination (30 percent)
plus attendance, class participation and special homework assignments
(10 percent). | 15 percent each |
-ASSESSMENT CRITERIA:
The
grade scale is as follows:
A:
90%-100% (The student demonstrates complete, accurate, and critical
knowledge of all the topics, is able to make appropriate connections
among different parts of the subject matter, uses the appropriate
language and terminology correctly and rigorously and is autonomous
in his study)
B:
80%-89% (The student has a somewhat accurate knowledge of the subject
matter and uses clear logic in his/her arguments)
C:
70%-79% (The student has the essential knowledge of the subject
matter, understands the topics, and can express it in a simple
language)
D:
60%-69% (The student has a superficial, mnemonic knowledge of the
subject matter, is uncertain and makes errors in the presentations)
F:
below 60% (At best, the students has a superficial knowledge of some
of the topics discussed in the course. He makes serious errors in the
presentations).
Additional
class policies:
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Cheating
is not tolerated (please see the University Catalogue for the policy
regarding academic dishonesty).
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Coming
late to class or leaving early will be possible only with permission
of the instructor.
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No
make-up exams will be given.
-ATTENDANCE REQUIREMENTS:
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ACADEMIC HONESTY
As stated in the university catalog, any student who commits an act of academic
dishonesty will receive a failing grade on the work in which the dishonesty occurred.
In addition, acts of academic dishonesty, irrespective of the weight of the assignment,
may result in the student receiving a failing grade in the course. Instances of
academic dishonesty will be reported to the Dean of Academic Affairs. A student
who is reported twice for academic dishonesty is subject to summary dismissal from
the University. In such a case, the Academic Council will then make a recommendation
to the President, who will make the final decision.
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STUDENTS WITH LEARNING OR OTHER DISABILITIES
John Cabot University does not discriminate on the basis of disability or handicap.
Students with approved accommodations must inform their professors at the beginning
of the term. Please see the website for the complete policy.
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SCHEDULE
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| Session | Session Focus | Reading Assignment | Other Assignment | Meeting Place/Exam Dates |
| Week 1 | Chapter 1 FUNCTIONS,GRAPHS AND LIMITS 1.1 The Cartesian plane and the distance formula 1.2 Graphs of equations 1.3 Lines in the plane and slope 1.4 Functions 1.5 Limits 1.6 Continuity
| | Hand in #7,9 page 47, #11 page 88 Due Tuesday Jan 24 | |
| Week 2 | Chapter 2 DIFFERENTIATION 2.1 The derivative and the tangent line problem 2.2 Basic rules for differentiation 2.3 Product and quotient rules 2.4 The chain rule
| | Hand in #61 on page 126, #37,73 on page 137 Due Tuesday Jan 31 | |
| Week 3 | Review and first Test | | | February 2 |
| Week 4 | Section 2.5 Implicit Differentiation Section 2.6 Related Rates | | Hand page 154 #31 Due Tuesday Feb 14 | |
| Week 5 | Section 3.1 Extrema on an interval
3.2 Rolle's theorem and the Mean Value Theorem
3.3 Increasing and decreasing functions and the first derivative test | | page 169 #45,47, page 186 #37,43,51 Due Feb 21 | |
| Week 6 | Review and second test | | | February 23 |
| Week 7 | Section 3.4 Concavity and the second derivative Test 3.5 Limits at infinity 3.6 Summary of curve sketching | | page 195 #65,83 page 205 #9,45 page 215 #7,19,35 Due Tuesday March 6 | |
| Week 8 | Section 3.7 Optimization Problems | | page 226 #46 Due Tuesday March 13 | |
| Week 9 | Section 4.1 Antiderivatives and Indefinite integration
4.2 Area | | page 255 #51 Due Tuesday March 27 | |
| Week 10 | Review and third test | | | March 29 |
| Week 11 | Section 4.3 Riemann Sums and Definite Integrals
4.4 The Fundamental Theorem of Calculus
| | page 293 #1 Due Tuesday April 10 | |
| Week 12 | Section 4.5 Integration by substitution
5.1 The Natural logarithmic function, differentiation | | page 306 #43 page 331 #79 Due Tuesday April 17 | |
| Week 13 | Section 5.2 The natural logarithmic function, integration
5.3 Inverse Function 5.4 Exponential functions: differentiation and integration | | page 340 #49 page 349 #15,31 page 358 #29,33 Due Tuesday April 24 | |
| Week 14 | Review and 4th test | | | April 24 |
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