

JOHN CABOT UNIVERSITY
COURSE CODE: "MA 299"
COURSE NAME: "Calculus II"
SEMESTER & YEAR:
Fall 2023

SYLLABUS
INSTRUCTOR:
Sara Munday
EMAIL: [email protected]
HOURS:
MW 1:30 PM 2:45 PM
TOTAL NO. OF CONTACT HOURS:
45
CREDITS:
3
PREREQUISITES:
Prerequisite: MA 198 with a grade of C or above
OFFICE HOURS:


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 degreeseeking students require this material for their higherlevel 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 Title  Author  Publisher  ISBN number  Library Call Number  Comments  Format  Local Bookstore  Online Purchase 
Calculus, 10th international edition  Ron Larson and Bruce Edwards  CENGAGE Learning  9781285091082      

REQUIRED RESERVED READING:
RECOMMENDED RESERVED READING:

GRADING POLICY
ASSESSMENT METHODS:
Assignment  Guidelines  Weight 
Midterm exams  There will be two inclass midterm examinations, each worth 30% of your grade. The first will be held on TUESDAY of WEEK 7, the second on TUESDAY of WEEK 11.  60% 
Final exam  The final will be comprehensive, although weighted towards the material from after the midterm.  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. 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:
Attendance is mandatory for the course.
You cannot makeup a major exam (midterm or final) without the permission of the Dean’s Office. The Dean’s Office will grant such permission only when the absence was caused by a serious impediment, such as a documented illness, hospitalization or death in the immediate family (in which you must attend the funeral) or other situations of similar gravity. Absences due to other meaningful conflicts, such as job interviews, family celebrations, travel difficulties, student misunderstandings or personal convenience, will not be excused. Students who will be absent from a major exam must notify the Dean’s Office prior to that exam. Absences from class due to the observance of a religious holiday will normally be excused. Individual students who will have to miss class to observe a religious holiday should notify the instructor by the end of the Add/Drop period to make prior arrangements for making up any work that will be missed.
DURING THE SEMESTER, MAKEUP EXAMS WILL NOT BE GIVEN UNDER ANY CIRCUMSTANCES. If you need to miss an assessment, the weight of that assessment will be shifted to the final. If you have to miss the final, if you are in good standing with the course, you can ask for an incomplete. If you are not in good standing and miss the final, I will be unable to assign a grade for the course, other than by considering the class tests you have already completed (this means you will be assigned a D or an F as appropriate).


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 13 Sequences and series
Week 47: Introduction to functions of several variables, level sets, limits and continuity, partial derivatives
Week 8: Brief overview of the necessary background material from linear algebra: vectors, scalar and vector products, matrices.
Week 911: Directional derivatives and the gradient; critical points and the Hessian matrix
Week 1214: Volume as a double integral using rectangular and polar coordinates, change of variables

