|
|
JOHN CABOT UNIVERSITY
COURSE CODE: "MA 299"
COURSE NAME: "Calculus II"
SEMESTER & YEAR:
Fall 2020
|
SYLLABUS
INSTRUCTOR:
Sara Munday
EMAIL: [email protected]
HOURS:
TTH 3:05-4:25 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 consider problems from a geometric and an analytic point of view. We start by revising vector geometry and matrices, sequences and series, and then move on to analysing functions of more than one variable, and considering the geometry of surfaces in 3D space.
|
LEARNING OUTCOMES:
The student at the end of the course should have a certain amount of geometric intuition for 2-dimensional surfaces, they should have built upon the single-variable calculus they already knew and should understand well the differences between single and multi-variable functions. The focus is not on computation, but on problem solving. The student should have become more independent in their thought over the course of the semester.
|
TEXTBOOK:
|
REQUIRED RESERVED READING:
RECOMMENDED RESERVED READING:
|
GRADING POLICY
-ASSESSMENT METHODS:
| Assignment | Guidelines | Weight |
| Midterm exam | There will be ONE midterm exam, date to be arranged, that will cover the material from the first half of the course. | 25% |
| Participation | Participation in the lectures and exercise classes, and doing the weekly homework will count for 25% of the grade. NOTE: Participation does not mean "turning up". It means actively participating, to the best of the student's ability, in ALL of the class activities | 25% |
| Final Exam | The final exam will be made up of a take-home component and an in-class test. The exam will be comprehensive, but will be weighted more heavily towards the material from the second half of the course. | 50% |
-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:
Attendance is mandatory, along with university policy. Students wanting to make up an exam are required to obtain 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
|
|
|
|
| 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 7-8 | Vector-valued functions | Chapter 12 | | |
| Week 9-10-11 | Functions of several variables | Chapter 13 | | |
| Week 12-13 | Multiple integration | Chapter 14 | | |
| Week 14 | An application in modern mathematics: neural networks | none | | |
|