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JOHN CABOT UNIVERSITY

COURSE CODE: "MA 299"
COURSE NAME: "Calculus II"
SEMESTER & YEAR: Spring 2022
SYLLABUS

INSTRUCTOR: Sara Munday
EMAIL: [email protected]
HOURS: MW 3:00 PM 4:15 PM
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.

AN ADVISORY NOTE: This course contains some material that would perhaps be more likely to be found in a Calculus III class in many American universities. This is because some of our degree-seeking students require this material for their higher-level classes. Nevertheless, anyone with a good background in a university level Calculus I class should be able to do well in this class if they are prepared to study. Do think carefully though before signing up if you are a transfer student with a particularly high GPA requirement - this class will be challenging.

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 NumberCommentsFormatLocal BookstoreOnline Purchase
Calculus, 10th international edition Ron Larson and Bruce EdwardsCENGAGE Learning 978-1-285-09108-2      
REQUIRED RESERVED READING:
NONE

RECOMMENDED RESERVED READING:
NONE
GRADING POLICY
-ASSESSMENT METHODS:
AssignmentGuidelinesWeight
Midterm exam 40%
Final examThe final will be comprehensive, although weighted towards the material from after the midterm. 40%
In-class quizzesThere will be THREE in-class quizzes, each graded out of 10%, and the lowest grade will be dropped. The quizzes WILL NOT BE ANNOUNCED IN ADVANCE! 20%

-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. The student demonstrates complete, accurate, and critical knowledge of all the topics, and is able to solve problems autonomously.
BThis is highly competent level of performance and directly addresses the question or problem raised.There is a demonstration of some ability to critically evaluate theory and concepts and relate them to practice. The work does not suffer from any major errors or omissions and provides evidence that the student uses clear logic in their arguments.
CThis is an acceptable level of performance and provides answers that are clear but limited, reflecting the information offered in the lectures. Mathematical statements are properly written most of the time.
DThis level of performances demonstrates that the student lacks a coherent grasp of the material. Important information is omitted and irrelevant points included. Many mistakes are made in solving the problem raised. In effect, the student has barely done enough to persuade the instructor that they should not fail.
FThis work fails to show any knowledge or understanding of the subject matter. Most of the material in the answer is irrelevant.

-ATTENDANCE REQUIREMENTS:
Lack of participation could mean withdrawal of permission to sit the final exam (in line with university policy). If you need to miss an assessment, you must ask permission from the Dean's office.
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 1-2 Vector geometry and matrices, sequences and series
 
Week 3-4: Surfaces in 3D space, quadric surfaces, ruled surfaces,level sets; introduction to functions of several variables
 
Week 5-7:  More on functions of several variables, limits and continuity, partial derivatives
 
Week 8-10: Directional derivatives and the gradient; critical points and the Hessian matrix
 
Week 11-14:  Solids of revolution, volume as a double integral using rectangular and polar coordinates, change of variables