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JOHN CABOT UNIVERSITY
COURSE CODE: "MA 299"
COURSE NAME: "Calculus II "
SEMESTER & YEAR:
Summer Session I 2020
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SYLLABUS
INSTRUCTOR:
Sara Munday
EMAIL: [email protected]
HOURS:
Remote Learning
TOTAL NO. OF CONTACT HOURS:
45
CREDITS:
3
PREREQUISITES:
Prerequisite: MA 198 with a grade of C- or above
OFFICE HOURS:
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. We will start with some vector geometry and matrices (later to be used in analysing surfaces), then cover power series (including Taylor series), geometry of surfaces (quadric surfaces, ruled surfaces, level sets), and then start with functions of several variables - partial derivatives, critical points and the Hessian matrix, volumes as double integrals.
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LEARNING OUTCOMES:
The student will learn how to use classic Calculus techniques to analyze functions and models, and become acquainted with the geometry of surfaces.
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TEXTBOOK:
| Book Title | Author | Publisher | ISBN number | Library Call Number | Comments |
| Calculus, 10th international edition | Ron Larson and Bruce Edwards | CENGAGE Learning | 978-1-285-09108-2 | | |
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REQUIRED RESERVED READING:
RECOMMENDED RESERVED READING:
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GRADING POLICY
-ASSESSMENT METHODS:
| Assignment | Guidelines | Weight |
| test 1 | The first test will be in Week 2, and will cover vectors and matrices, series, functions of two variables (limits, continuity), quadric surfaces. | 20% |
| test 2 | There will be a second test in week 4, covering partial derivatives and applications | 20% |
| individual take-home test | Due in conjunction with the final exam, there will be a longer homework assignment that covers all of the class material - these questions are designed to be somewhat more challenging that those in the exam, since they are to be done with notes, textbook, etc. | 20% |
| Final exam | comprehensive final exam on June 26th | 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:
Handing in the homework assignments will count as class participation; lack of participation could mean withdrawal of permission to sit the final exam (in line with university policy)
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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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Week 1 (25th May): Vector geometry and matrices, sequences and series
Week 2 (1st June): Surfaces in 3D space, quadric surfaces, ruled surfaces,level sets; introduction to functions of several variables
Week 3 (8th June): More on functions of several variables, limits and continuity, partial derivatives
Week 4 (22nd June): Directional derivatives and the gradient; critical points and the Hessian matrix
Week 5 (22nd June): Solids of revolution, volume as a double integral using rectangular and polar coordinates
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