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JOHN CABOT UNIVERSITY

COURSE CODE: "MA 299"
COURSE NAME: "Calculus II "
SEMESTER & YEAR: Summer Session I 2020
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

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.
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.
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.
TEXTBOOK:
Book TitleAuthorPublisherISBN numberLibrary Call NumberComments
Calculus, 10th international editionRon Larson and Bruce EdwardsCENGAGE Learning978-1-285-09108-2  
REQUIRED RESERVED READING:
NONE

RECOMMENDED RESERVED READING:
NONE
GRADING POLICY
-ASSESSMENT METHODS:
AssignmentGuidelinesWeight
test 1The first test will be in Week 2, and will cover vectors and matrices, series, functions of two variables (limits, continuity), quadric surfaces.20%
test 2There will be a second test in week 4, covering partial derivatives and applications20%
individual take-home testDue 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 examcomprehensive final exam on June 26th40%

-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)
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.
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.

SCHEDULE

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