625.109.81 - Calculus II

Expanded Course Description

Differential and integral calculus of functions of one independent variable. Topics include the basic analytic geometry of graphs of functions, and their limits, integrals and derivatives, including the Fundamental Theorem of Calculus. Also, some applications of the integral, like arc length and volumes of solids with rotational symmetry, are discussed. Applications to the physical sciences and engineering will be a focus of this course, as this course is designed to meet the needs of students in these disciplines. Course Note(s): Not for credit. Not eligible for financial aid. Prerequisite(s): Pre-calculus (e.g., AS.110.105 or equivalent)

Course Structure

The course materials are divided into weekly modules which can be accessed in Canvas (canvas.jhu.edu).  Each weekly module will have several sections, including the overview, lectures, practice problems, online homework, online quizzes, and supplemental material.  There are two midterm exams and a cumulative final throughout the semester. You should check regularly the calendar in Canvas for all due dates.  Each week an announcement will be sent with updates and reminders.

Course Topics

• Integrals
• Applications of Integration
• Techniques of Integration
• Further Applications of Integration
• Differential Equations
• Parametric Equations and Polar Coordinates
• Infinite Sequences and Series

Course Goals

This course will prepare you for Multivariable Calculus by teaching you mastery in the techniques, theory, and applications of single variable integration and differentiation to series, physics, probability, and economics.

Course Learning Outcomes (CLOs)

• Compute definite and indefinite integrals, using techniques of integration as well as numerical methods.
• Apply integration to model real-world problems.
• Determine the convergence or divergence of infinite sequences and series.
• Represent functions as power series and find their radius and interval of convergence.

Textbooks

Single Variable Calculus: Early Transcendentals, James Stewart, 8th Edition, Brooks/Cole, 2010. 

ISBN-13: 978-1-305-27033-6

Other Materials & Online Resources

There is no required software or calculators for this course.

Student Coursework Requirements

Homework

Homework is online and is assigned for each week. There are three attempts at each online homework problem set.  The highest of the attempts is counted as the grade. Your lowest homework grade will be dropped.

Exams

There will be 2 mid-term exams.  The exams are online and use Respondus Lock Down Browser and Webcam.  There will be a cumulative final exam the last week of class. All exams are due by end of day Sunday of the exam week.  Your final exam will replace the lowest exam score if applicable.

Quizzes

There will be a short online quiz each week. There are two attempts at the quiz and the questions are pulled randomly during each attempt.  The higher of the two attempts counts for the grade. Your lowest quiz grade will be dropped.

Discussion Forums

Each week you are to post your initial response to the discussion by Thursday night and respond to at least two classmates by end of day Sunday.  The lowest discussion grade is dropped.

Grading Policy

The letter grades will be assigned as follows based on your final averages:

A: 90-100
B: 80 - 89
C: 70 - 79
D: 63 - 69
F: < 63

"+" and "-" will be determined at the end of the semester.

Course Evaluation

Your final grade for the class will be given by weighting your grades on the homework and three exams. Your lowest homework and quiz score will be dropped:

• Discussion Forums: 10% (lowest dropped)
• Homework: 10% (lowest dropped)
• Quizzes: 15% (lowest dropped)
• First midterm: 20%
• Second midterm: 20%
• Final exam: 25% (in addition to the final grade, the final replaces a lower midterm grade if applicable)

Course Policies

Collaboration on homework is allowed and encouraged. However, each student must write up his/her solutions to the problems individually and in his/her own words - copying from another student's paper is prohibited. Homework is an essential part of learning the course material. Failing to give it proper attention will significantly harm your performance on the exams and your overall grade for the class.

Academic Policies

Deadlines for Adding, Dropping, and Withdrawing from Courses

Students may add a course up to one week after the start of the term for that particular course. Students may drop courses according to the drop deadlines outlined in the EP academic calendar. Between the 6th week of the class and prior to the final withdrawal deadline, a student may withdraw from a course with a W on their academic record. A record of the course will remain on the academic record with a W appearing in the grade column to indicate that the student registered and withdrew from the course. 

Academic Misconduct Policy

All students are required to read, know, and comply with the Johns Hopkins University Krieger School of Arts and Sciences (KSAS) / Whiting School of Engineering (WSE) Procedures for Handling Allegations of Misconduct by Full-Time and Part-Time Graduate Students. This policy prohibits academic misconduct, including but not limited to the following: cheating or facilitating cheating; plagiarism; reuse of assignments; unauthorized collaboration; alteration of graded assignments; and unfair competition. Course materials (old assignments, texts, or examinations, etc.) should not be shared unless authorized by the course instructor. Any questions related to this policy should be directed to EP’s academic integrity officer at ep-academic-integrity@jhu.edu.

Students with Disabilities - Accommodations and Accessibility

Johns Hopkins University values diversity and inclusion. We are committed to providing welcoming, equitable, and accessible educational experiences for all students. Our courses are designed with a proactive approach to accessibility to minimize the need for disability disclosure and accommodation requests, but we recognize that you may need additional support. Students with disabilities (including those with psychological conditions, medical conditions, and temporary disabilities) can request accommodations for this course by providing an Accommodation Letter issued by Student Disability Services (SDS). Please request accommodations for this course as early as possible to provide time for effective communication and arrangements.  For further information or to start the process of requesting accommodations, please contact EP Student Disability Services at ep-disability-svcs@jhu.edu. 

Student Conduct Code

The fundamental purpose of the JHU regulation of student conduct is to promote and to protect the health, safety, welfare, property, and rights of all members of the University community as well as to promote the orderly operation of the University and to safeguard its property and facilities. As members of the University community, students accept certain responsibilities which support the educational mission and create an environment in which all students are afforded the same opportunity to succeed academically. For a full description of the code please visit the Student Conduct Code website.

Classroom Climate

JHU is committed to creating a classroom environment that values the diversity of experiences and perspectives that all students bring. Everyone has the right to be treated with dignity and respect. Fostering an inclusive climate is important. Research and experience show that students who interact with peers who are different from themselves learn new things and experience tangible educational outcomes. At no time in this learning process should someone be singled out or treated unequally on the basis of any seen or unseen part of their identity. If you have concerns in this course about harassment, discrimination, or any unequal treatment, or if you seek accommodations or resources, please reach out to the course instructor directly. Reporting will never impact your course grade. You may also share concerns with your program chair, the Assistant Dean for Diversity and Inclusion, or the Office of Institutional Equity. In handling reports, people will protect your privacy as much as possible, but faculty and staff are required to officially report information for some cases (e.g. sexual harassment).

Course Auditing

When a student enrolls in an EP course with “audit” status, the student must reach an understanding with the instructor as to what is required to earn the “audit.” If the student does not meet those expectations, the instructor must notify the EP Registration Team (EP-Registration@exchange.johnshopkins.edu) in order for the student to be retroactively dropped or withdrawn from the course (depending on when the "audit" was requested and in accordance with EP registration deadlines). All lecture content will remain accessible to auditing students, but access to all other course material is left to the discretion of the instructor.