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JOHN CABOT UNIVERSITY
COURSE CODE: "MA 198"
COURSE NAME: "Calculus I"
SEMESTER & YEAR:
Summer Session I 2024
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SYLLABUS
INSTRUCTOR:
Sanford Stuart Miller
EMAIL: [email protected]
HOURS:
MTWTH 11:10 AM 1:00 PM
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:
After Class at 1pm, or by appointment - please email
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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 traditional calculus such as limits, continuity, derivatives, and integrals of algebraic and transcendental functions of one variable, with applications. Upon completion, students should be able to apply differentiation and integration techniques to algebraic and transcendental functions. Particular emphasis and continual reinforcement will be given to the ability to analyse a real word-problem in mathematical terms. Registration into the course is by placement or by completion of MA197 with a grade of C- or higher. A solid background in PreCalculus is an absolute necessity for success in this class.
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LEARNING OUTCOMES:
Upon successful completion of this course, students should be able to:
- Define and understand the concept of a finite limit.
- Understand infinite limits.
- Use algebraic techniques to evaluate limits.
- Define continuity and determine whether or not a function is continuous at a point and on an interval.
- Define a derivative and use the definition to differentiate selected functions.
- Use the sum, difference, product, quotient, and chain rules to differentiate selected functions.
- Know the derivatives of algebraic, trigonometric, exponential, logarithmic and hyperbolic functions.
- Implicitly differentiate selected two-variable equations.
- Use Calculus to solve related rates and maximum/minimum problems.
- Define and discuss properties of the Indefinite and Definite Integrals.
- Apply 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 8th Edition (Single Variable Calculus with Early Transcendentals) | James Stewart | Cengage Learning | 1-305-27033-9 | | | | | |
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REQUIRED RESERVED READING:
RECOMMENDED RESERVED READING:
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GRADING POLICY
-ASSESSMENT METHODS:
| Assignment | Guidelines | Weight |
| one-hour exam | 3 one-hour exams (20% each) | 60% |
| two-hour final exam | If the final exam grade is higher than one of the hour exams, then the final grade will replace the lower exam grade. | 30% |
| Homework and class participation | | 10% |
-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 evaluate theory and concepts and relate them to practice. Discussions reflect the student’s own arguments and are not simply a repetition of standard lecture and reference 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:
It is strongly recommended that students attend all lectures due to the pace of the course and challenging nature of the material. Please contact the instructor before a class indicating if and why you will be unable to attend.
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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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| Session | Session Focus | Reading Assignment | Other Assignment | Meeting Place/Exam Dates |
| Week 1 | Limits, Continuity and Derivatives. | Chapter 2 | | |
| Week 2 | Differentiation Rules. | Chapter 3 | | EXAM 1 (WED, MAY 29) |
| Week 3 | Applications of Differentiation. | Chapter 3-4 | | EXAM 2 (MON, JUNE 10) |
| Week 4 | Antiderivatives, Definite Integrals, and The Fundamental Theorem of Calculus | Chapter 4-5 | | EXAM 3 (WED, JUN 19) |
| Week 5 | Methods of Integration | Chapter 5 | | FINAL EXAM (FRI. JUNE 21) |
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