Calculus 1

Syllabus

Office Hours

TBA at the beginning of each semester (no appointment necessary). Feel free to make an appointment if you cannot come to my regular office hours.

Textbook

No textbook required. Handouts with new material and practice problems will be distributed for each teaching unit. Also Review Sheets will be distributed in class before every exam. The material of this course (as well of Calculus 2 and Calculus 3) matches Calculus by James Stewart.

Technology

All students are required to have a graphing calculator. Instructions will be given for TI83/84

Topics Covered

1. Limits
2. Infinite Limits, Limits at Infinity, Horizontal and Vertical Asymptotes
3. Continuity. Squeeze Theorem. Applications of Limits
4. The Derivative, the Rate of Change
5. Finding and Using Derivative
6. Higher Derivatives. Differentiability
(Exam 1)

7. The Product, Quotient, and Chain Rules
8. Derivatives of Exponential, Logarithmic and Trigonometric Functions
9. Linear Approximation. Differentials
10. Implicit Differentiation
11. Related Rates
(Exam 2)

12. Increasing/Decreasing Test. Extreme Values and the First Derivative Test
13. Concavity and Inflection Points. The Second Derivative Test
14. Absolute Extrema and Constrained Optimization
(Exam 3)

15. Antiderivatives and the Indefinite Integral
16. Substitution
17. Integrals of Exponential and Trigonometric Functions. Integrals Producing Logarithmic Functions
18. Definite Integral. Left and Right Sums
19. Fundamental Theorem of Calculus. The Total Change Theorem.
20. Areas between Curves

Tentative exam dates

Exam 1: during the 4th week of classes.
Exam 2: during the 7th week of classes.
Exam 3: during the 11th week of classes.
Final Exam: during the finals week.

Grading

Exams 1, 2 and 3	18% each
Final Exam	24%
Assignments	11%
Projects	11%
TOTAL	100%

Grades are computed according to the following system:

	A	A-	B+	B	B-	C+	C	C-	D+	D	F
grade	93-100	90-92	87-89	83-86	80-82	77-79	73-76	70-72	67-69	60-66	0-59

Number of credits

Prerequisites

Precalculus or permission of instructor

This is a rigorous course. You should plan to spend a minimum of twice the number of class hours on reading, homework assignments, and practice problems. The assigned homework is the minimum amount of practice you should complete. It is your responsibility to come to class prepared to ask questions on any covered concept.

Attendance

It is imperative that students attend all classes. Students are responsible for all material covered in class, even if attendance is not checked or assignments collected.

Exams

There will be three in-class exams plus a two hour comprehensive final exam. No makeup exam will be given unless the excuse for missing the scheduled exam is acceptable to the instructor. Any makeup exam must be taken before the next regularly scheduled exam. No exam grade will be dropped.

Assignments and Projects

There will be four homework assignments and three Matlab projects. There will be no makeup assignments. Assignments or projects turned in after their due date will receive an automatic reduction in grade. No assignment and project grade will be dropped.

Response time

The assignments, projects and exams are typically graded in three days after they are turned in. Special circumstances like snow days, school closing or holidays, may occasionally delay the response time. Barring special circumstances, students’ emails are usually responded to within one working day.

Course Objectives

to obtain a well rounded introduction to the area of limits, differentiation and basic integration techniques;
to develop basic knowledge of calculus problem formulation, problem solving and modeling techniques required for successful application of mathematics;
to competently use appropriate technology to model data, implement mathematical algorithms and solve mathematical problems;
to cultivate the analytical skills required for the efficient use and understanding of mathematics.

Learning outcomes

Students will:

know the basic concepts of differential and integral calculus;
demonstrate proficiency in differentiation and integration techniques;
be able to interpret and critique graphs using calculus techniques;
be able to understand and solve multidisciplinary application problems using calculus;
demonstrate proficiency in using mathematical software;
know how to use appropriate technology to solve problems applying calculus techniques.

Academic integrity

Saint Joseph’s University encourages the free and open pursuit of knowledge; we consider this to be a fundamental principle and strength of a democratic people. To this end, SJU expects its students, its faculty, its administrators, and its staff to uphold the highest standards of academic integrity. The University expects all members of the University community to both honor and protect one another’s individual and collective rights.

Student with Disabilities Statement

Reasonable academic accommodations may be provided to students who submit appropriate documentation of their disability. If students have need of assistance or questions with this issue, they are encouraged to contact the Office of Student Disability Services (SDS) at sds@sju.edu or by phone at 610.660.1774. The Office of SDS also provides an appeal/grievance procedure for complaints regarding requested or offered reasonable accommodations. More information can be found at: www.sju.edu/sds.

Health and Wellness Statement

Saint Joseph's University recognizes that physical and mental health strongly impact one's ability to do well in school and in life. As a result, there are many helpful campus resources designed to help students to care for their physical, mental, and spiritual health. Students may experience stressors that can impact both their academic experience and their personal well-being. These may include academic pressure and challenges associated with relationships, mental health, alcohol or other drugs, identities, finances, etc. All of us benefit from support during times of struggle and challenges. If you are experiencing concerns, seeking assistance sooner rather than later is a courageous thing to do for yourself and those who care about you. The resources at https://sites.sju.edu/counseling/ can help you to cope with stress and to achieve your academic and personal goals.