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 Structure

The course materials are divided into weekly modules which can be accessed in Canvas.  A module will have several sections, including the overview, lectures, practice problems, online homework, online quizzes, and supplemental material.  During weeks of an exam, the exam will be found online in the module.  You should check regularly the calendar in Canvas for due dates, the discussion board, and the announcements page for updates and reminders.

Course Topics

• Functions and Models
• Limits and Derivatives
• Differentiation Rules
• Applications of Differentiation
• Integrals

Course Goals

Main concepts of calculus are derivatives (rates of change of a function) and integrals (which, in particular, provide a way to recover a function from the knowledge of its derivative). Knowledge and the ability to work with these concepts is essential for further studies of mathematical subjects, as well as for applications of mathematical techniques in other sciences. This course will focus on understanding calculus concepts, analytical reasoning and developing crucial skills in order to calculate, analyze, interpret and communicate the results clearly.

Course Learning Outcomes (CLOs)

• Interpret a function from an algebraic, numerical, graphical and verbal descriptions.
• Calculate the limit of a function at a point numerically and algebraically using appropriate techniques including l’Hospital’s rule.
• Compute the expression for the derivative of a function using the rules of differentiation Including the power rule, product rule, and quotient rule and chain rule.
• Determine the convergence or divergence of infinite sequences and series.
• Apply the derivative to solve problems in curve sketching, optimization, and related rates.
• Identify antiderivatives as the inverse of differentiation using the Fundamental Theorem of Calculus, and apply these concepts to applications involving areas and distances.

Textbooks

Single Variable Calculus: Early Transcendentals by 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.

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. 

Projects: There are group projects in this course that will focus on problem solving and mathematical communication.  See each project direction sheet in the course for more details. 

Grading Policy

The letter grades are assigned as follows based on your final weighted average:

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 as a weighted average with the weights given as follows:

- Discussion Forums: 10%

- Homework: 10%   (lowest grade dropped)

- Quizzes: 15%  (lowest grade dropped)

- First mid-term: 20%

Course Policies

Collaboration Policy:
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.

Students with documented disabilities or other special needs who require accommodation must register with the Office of Academic Advising.

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 (https://ep.jhu.edu/student-services/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. 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 Student Disability Services at Engineering for Professionals, 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 following website: https://studentaffairs.jhu.edu/policies-guidelines/student-code/

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.