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JOHN CABOT UNIVERSITY
COURSE CODE: "MA 299"
COURSE NAME: "Calculus II"
SEMESTER & YEAR:
Summer Session I 2018
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SYLLABUS
INSTRUCTOR:
Daniele Castorina
EMAIL: [email protected]
HOURS:
MTWTH 3:50 PM 5:40 PM
TOTAL NO. OF CONTACT HOURS:
45
CREDITS:
3
PREREQUISITES:
Prerequisite: MA 198 with a grade of C- or above
OFFICE HOURS:
MTWTH 12.00-13.00 by appointment
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COURSE DESCRIPTION:
This course builds on the fundamentals of the calculus of one variable, and includes infinite series, power series, differential equations of first and second order, numerical integration, and an analysis of improper integrals. It also covers the calculus of several variables: limits, partial derivatives, and multiple integrals.
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SUMMARY OF COURSE CONTENT:
The course is a further development of calculus at a more advanced level. After covering traditional topics such as techniques of integration, differential equations and the study of several variables, attention is given to business and economics applications (constrained optimization, Lagrange multipliers, Method of Least Squares, Numerical approximation, Taylor series, etc.).
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LEARNING OUTCOMES:
The student will learn how to use classic Calculus techniques to analyze functions, models, and learn optimization methods.
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TEXTBOOK:
| Book Title | Author | Publisher | ISBN number | Library Call Number | Comments | Format | Local Bookstore | Online Purchase |
| Calculus | Ron Larson and Bruce Edwards | Cengace learning | 978-1-337-27534-7 | | Any edition of this book is fine | | | |
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REQUIRED RESERVED READING:
RECOMMENDED RESERVED READING:
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GRADING POLICY
-ASSESSMENT METHODS:
| Assignment | Guidelines | Weight |
| There will be three in class tests | Each test will last an hour and will be based on the most recent material studied in class. Each test will be worth 20 percent of the final grade for a total of 60 percent. The remaining 40 percent will be assigned based on the comprehensive final examination | Test:20% each; Final Exam: 40% |
| Test I | | 20% |
| Test II | | 20% |
| Test III | | 20% |
| Final Exam | | 40% |
-ASSESSMENT CRITERIA:
AWork of this quality directly addresses the question or problem raised and provides a coherent argument displaying an extensive knowledge of relevant information or content. This type of work demonstrates the ability to critically evaluate concepts and theory and has an element of novelty and originality. There is clear evidence of a significant amount of reading beyond that required for the course.
BThis is highly competent level of performance and directly addresses the question or problem raised.There is a demonstration of some ability to critically evaluatetheory and concepts and relate them to practice. Discussions reflect the student’s own arguments and are not simply a repetition of standard lecture andreference material. The work does not suffer from any major errors or omissions and provides evidence of reading beyond the required assignments.
CThis is an acceptable level of performance and provides answers that are clear but limited, reflecting the information offered in the lectures and reference readings.
DThis level of performances demonstrates that the student lacks a coherent grasp of the material.Important information is omitted and irrelevant points included.In effect, the student has barely done enough to persuade the instructor that s/he should not fail.
FThis work fails to show any knowledge or understanding of the issues raised in the question. Most of the material in the answer is irrelevant.
-ATTENDANCE REQUIREMENTS:
This course builds on the fundamentals of the calculus of one variable, and includes infinite series, power series, differential equations of first and second order, numerical integration, and an analysis of improper integrals. It also covers the calculus of several variables: limits, partial derivatives, and multiple integrals.
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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 1-2 | Infinite series | Chapter 9 | | |
| Week 3-4 | Curves and coordinates | Chapter 10 | | |
| Week 5-6 | Vectors and geometry | Chapter 11 | | |
| Week 7 | Vector-valued functions | Chapter 12 | | |
| Week 9-10-11 | Functions of several variables | Chapter 13 | | |
| Week 12-13 | Multiple integration | Chapter 14 | | |
| Week 14-15 | Vector Analysis | Chapter 15 | | |
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