

JOHN CABOT UNIVERSITY
COURSE CODE: "MA 1985"
COURSE NAME: "Calculus I "
SEMESTER & YEAR:
Fall 2018

SYLLABUS
INSTRUCTOR:
Stefano Guarino
EMAIL: [email protected]
HOURS:
MW 11:3012:45PM
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


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.

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.
The students will understand that the concept of function is extremely flexible and can be used to describe a multitude of phenomena. They will learn how to use the instruments of calculus to gain an insight into the properties of such phenomena.
Registration into the course is by placement or by completion of MA197 with a grade of C or higher.

LEARNING OUTCOMES:
Upon successful completion of this course, students should have familiarity with limiting, differentiation and integration techniques, applied to algebraic and transcendental functions.
More specifically, they should be able to:
 Define a limit.
 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 product, quotient, and chain rules to differentiate selected functions.
 Evaluate indefinite and definite integrals of elementary functions, including selected trigonometric functions.
 State the basic properties of the definite integral.
 Apply the Fundamental Theorem of Calculus.

TEXTBOOK:
Book Title  Author  Publisher  ISBN number  Library Call Number  Comments 
Calculus, 10th INTERNATIONAL edition  Ron Larson and Bruce Edwards  Cengage Learning  9781285091082   The book can be found online (e.g., Amazon) or ordered at JCU's suggested bookstores. Old editions are probably ok, but ask the teacher before buying. 

REQUIRED RESERVED READING:
RECOMMENDED RESERVED READING:

GRADING POLICY
ASSESSMENT METHODS:
Assignment  Guidelines  Weight 
Attendance  Full credit for attendance will be given to students with three or fewer unexcused absences. Four or more absences will result in a proportional reduction of the grade.  10% 
Homework  The application of calculus to reallife problems will be subject of specific graded homework assignments. The average grade weighs 15 percent of the final grade.  15% 
Midterm  At the middle of the course, students will take a test concerning all topics introduced till then. The midterm exam score weighs twentyfive percent of the final grade.  25% 
Final exam  The final exam score weighs fifty percent of the final grade. Nevertheless, a grade of C or higher in the final exam is necessary to successfully complete 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 studentâ€™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:
Full credit for attendance will be given to students with three or fewer unexcused absences. Four or more absences will result in a proportional reduction of the grade. Coming late to class or leaving early will be possible only with permission of the instructor.


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 
1st week, 2nd week, and 3rd week 
LIMITS AND THEIR PROPERTIES (Chap 1): Finding limits graphically and numerically. Evaluating limits analytically. Continuity and onesided limits. Infinite limits. Limits at infinity. 
Chapter 1; Chapter 3 sect. 3.5 
TBD 

3rd week, 4th week, and 5th week 
DIFFERENTIATION (Chap 2): The Derivative and the tangent line problem. Basic differentiation rules and rates of change. The product and quotient rules and higherorder derivatives. The chain rule. 
Chapter 2 
TBD 

6th week 
LOGARITHMIC, EXPONENTIAL, AND OTHER TRANSCENDENTAL FUNCTIONS (Chap 5): The natural logarithmic function: differentiation. Exponential functions: Differentiation. Bases other than e and applications. 
Chapter 5 
TBD 

7th week, 8th week, 9th week, and 10th week 
APPLICATIONS OF DIFFERENTIATION (Chap 3): Extrema on an interval. Rolle’s theorem and the mean value theorem. Increasing and decreasing functions and the first derivative test. Concavity and the second derivative test. A summary of curve sketching. 
Chapter 3 
TBD 
Week 7: Midterm exam 
10th week, 11th week, and 12th week 
INTEGRATION (Chap 4): Antiderivatives and indefinite integration. Area. Riemann sums and definite integrals. The fundamental theorem of Calculus. 
Chapter 4 
TBD 

13th week and 14th week 
INTEGRATION TECHNIQUES, L’HOPITAL’S RULE, AND IMPROPER INTEGRALS (Chap 8): Basic integration rules. Integration by parts. Integration by substitution. Partial fractions. Indeterminate forms and l’Hopital’s rule. 
Chapter 8 
TBD 
Final exam (comprehensive). See University schedule for date and time. 

