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COURSE NAME: "Calculus I"
SEMESTER & YEAR: Fall 2020

INSTRUCTOR: Stefano Arnone
EMAIL: [email protected]
HOURS: TTH 1:30-2:55 PM
PREREQUISITES: Prerequisite: Placement or completion of MA 197 with a grade of C- or above
OFFICE HOURS: Office hour meetings may have to be done remotely; times to be decided

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.
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.

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 two-variable 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.


Book TitleAuthorPublisherISBN numberLibrary Call NumberCommentsFormatLocal BookstoreOnline Purchase
Calculus, 10th editionRon Larson and Bruce EdwardsCengage LearningISBN 13: 978-1-285-05709-5 Past editions of the textbook are also acceptable.    

HomeworkHomework assignments will be posted on Moodle; one week later, solutions will be uploaded. Students are encouraged to solve homework problems even though they will not be graded.Not graded
Attendance and class participationOnce a week a new question will be posted on Moodle on the material that you are expected to have covered at the time of the post. Students are expected to answer all questions posted. The average attendance-and-class-participation grade weighs 15 percent. NOTA BENE: each question that remains unanswered will receive a mark of 0 (zero), which will NOT be discarded when the average grade is computed. Once a new question is posted, answers to previous questions will not be taken into account. The first question will be posted at the beginning of the second week of classes.15%
QuizzesEvery other week, starting from the third week, students will be asked to solve and hand in a simple, ten-to-fifteen-minute quiz.The average quiz score weighs twenty percent of the final grade. The lowest quiz score will be dropped if and only if all quizzes have been sat. Missed quizzes may not be made up.20%
Mid-term exam 25%
Final exam (comprehensive) 40%

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. The student demonstrates complete, accurate, and critical knowledge of all the topics, and is able to solve problems autonomously.
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. The work does not suffer from any major errors or omissions and provides evidence that the student uses clear logic in his/her arguments.
CThis is an acceptable level of performance and provides answers that are clear but limited, reflecting the information offered in the lectures. Mathematical statements are properly written most of the time.
DThis level of performances demonstrates that the student lacks a coherent grasp of the material. Important information is omitted and irrelevant points included. Many mistakes are made in solving the problem raised. 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 subject-matter. Most of the material in the answer is irrelevant.


Students are expected to come to class on a regular basis. Coming late to class or leaving early will be possible only with permission of the instructor.

Major exams cannot be made up 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.

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.
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.


SessionSession FocusReading AssignmentOther AssignmentMeeting Place/Exam Dates
1st week, 2nd week, and 3rd weekLIMITS AND THEIR PROPERTIES (Chap 1): Finding limits graphically and numerically. Evaluating limits analytically. Continuity and one-sided 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 higher-order derivatives. The chain rule. Implicit differentiation. Related rates.Chapter 2  
6th weekLOGARITHMIC, 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, 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 Week 7 : Mid-term exam
10th week, 11th week, and 12th weekINTEGRATION (Chap 4): Antiderivatives and indefinite integration. Area. Riemann sums and definite integrals. The fundamental theorem of Calculus. 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.Chapters 4, 8 Final exam (comprehensive) : see University schedule for date and time.