

JOHN CABOT UNIVERSITY
COURSE CODE: "MA 1981"
COURSE NAME: "Calculus I "
SEMESTER & YEAR:
Spring 2019

SYLLABUS
INSTRUCTOR:
Andrea Marinucci
EMAIL: [email protected]
HOURS:
MW 6:007:15 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:
MW 7:15 to 7:45 pm 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, 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 analyze a real wordproblem in mathematical terms. 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 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.
 Implicitly differentiate selected twovariable equations.
 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   Older editions of the same textbook are accepted. 

REQUIRED RESERVED READING:
RECOMMENDED RESERVED READING:

GRADING POLICY
ASSESSMENT METHODS:
Assignment  Guidelines  Weight 
Homework  Homework assignments will be graded: the average grade weighs 10 percent of the final grade.  10% 
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% 
Quizzes  Every other week, starting from the third week, students will be asked to solve and hand in a simple, tentofifteenminute quiz.The average quiz score weighs fifteen percent of the final grade (the lowest quiz score can be dropped).  15% 
Midterm exam   25% 
Final exam (comprehensive)   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. 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 cour 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 REQUIREMENTS AND EXAMINATION POLICY
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.


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 and 2nd 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   
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. Implicit differentiation.  Chapter 2   
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   
7th week, 8th week and 9th 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   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   
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   Final exam (comprehensive). See University schedule for date and time. 
