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JOHN CABOT UNIVERSITY
COURSE CODE: "MA 198"
COURSE NAME: "Calculus I"
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: Placement or completion of MA 197 with a grade of C- or above
OFFICE HOURS:
By appointment
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COURSE DESCRIPTION:
This is a Standard Calculus course using an intuitive approach to the fundamental concepts in the calculus of one variable: limiting behaviors, difference quotients and the derivative, definite integrals, antiderivative and indefinite integrals and the fundamental theorem of calculus.
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SUMMARY OF COURSE CONTENT:
This course
will explore the fundamental topics of Calculus, such as limits,
continuity, differentiation and antidifferentiation, with examples oriented towards
business and economics applications of maximization, minimization, optimization
and decision-making problems. Particular emphasis and continual reinforcement
will be given to developing the ability to analyze and find solutions of real world problems in mathematical
terms. Registration into
the course is by placement or by completion of MA197 with a grade of C- or
higher.
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LEARNING OUTCOMES:
This is a Standard Calculus course using an intuitive approach to the fundamental concepts in the calculus of one variable: limiting behaviors, difference quotients and the derivative, definite integrals, antiderivative and indefinite integrals and the fundamental theorem of calculus.
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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 | 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 |
| There will be a quiz in each of the first 4 weeks, on Thursday and a final exam | | Test: quizzes 40%; Final Exam: 35% |
| Quiz 1 | Limits and Continuity | 10% |
| Quiz 2 | Differentiation (limit definition and rules of differentiation) | 10% |
| Quiz 3 | Applications of differentiation | 10% |
| Quiz 4 | Antiderivatives and definite integrals | 10% |
| Participation | The participation requirements are to submit all the homework exercises ON TIME and to meet with me AT LEAST once a week, through teams or zoom (or another format if it is more convenient for you). | 25% |
-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 cours
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:
This is a Standard Calculus course using an intuitive approach to the fundamental concepts of calculus: Limiting behaviors, difference quotients and the derivative, Definite integrals, Antiderivative and indefinite integrals and the fundamental theorem of calculus. Other important objectives is to develop and strengthen the students’ problem-solving skills and to teach them to read, write, speak, and think in the language of mathematics
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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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The structure of the class will be as follows: There will be lecture notes uploaded for every day of class, it is expected that you spend around an hour reading and digesting these, along with some video lectures that will be linked to on moodle. The second half of each lesson consists of an exercise sheet to be done as homework - the solutions are programmed to appear the day after, so you can correct your mistakes (if there are any, of course). I am always available for online tutoring, in fact, this is required as part of your grade.
The subjects covered will be as follows:
Week 1 (25th May): Limits and continuity
Week 2 (1st June): Introduction to differentiation using the limit, the derivative as the slope of a tangent and as a rate of change, rules for differentiation, implicit differentiation.
Week 3 (8th June): The derivative of the exponential and logarithmic function, further applications of differentiation
Week 4 (15th June): Introduction to integration as an antiderivative, Definite integrals and the fundamental theorem of calculus
Week 5 (22nd June): Applications of integration, improper integrals (and perhaps something on differential equations, time permitting).
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