::: minipage ::: :::: minipage ::: flushright Mathematics Department ::: :::: ::: center [MATH 20500 Elements of Calculus]{.nodecor}\ Summer 2026 ::: :::: center ------------------------------------------------------------------------ ::: minipage ----------------- ----------------------------- -- -- -- ----------- --------------------------- **Instructor:** Michael Horzepa **Time:** Mond-Thur 8:30 - 10:10 AM **E-mail:** **Room:** NAC 5/108 ----------------- ----------------------------- -- -- -- ----------- --------------------------- ::: ------------------------------------------------------------------------ :::: **Course description:** This course will cover many of the basic elements of calculus. The topics covered will span chapters 1 through 6 of our course's text (we will omit several sections of chapters 5 and 6). We will cover how to calculate derivatives using the limit definition, differentiate algebraic, logarithmic, and exponential functions, apply derivatives to a variety of different real world problem types, anti-differentiate polynomial, logarithmic, and exponential functions, and apply anti-differentiation to problems of area. This is a summer session, so the pace will be roughly double that of a regular semester. In turn, this means students must be diligent with their work, and it is encouraged that they take advantage of the office hours or any other resources at CCNY to make sure they do not fall behind. **Course text:** *Brief Applied Calculus*, by James Stewart, Daniel Clegg 1st Ed. (Chapters 1-6, skipping sections in chapters 5 and 6) ::: tabbing **Office Hours:** Tuesdays 10:30-11:30am & by appointment, MR326 (subject to change) ::: **Homework:** Completing the homework will be an essential part of mastering the material of this course and doing well on exams. Each week there will be two assignments: one due on Monday and one due on Thursday. Throughout the semester these will make up 10% of a student's grade, but their value to mastering the material is invaluable. They will be graded on a 5 point scale, based on completion and accuracy. On the submission date, the first 15 minutes of class will be dedicated to homework review. If students had difficulties with any of the problems, this gives them a chance to ask questions. Additionally, each week there will be a short quiz at the beginning of class on Thursday which will count towards a student's homework grade. They will cover the material from the week, and will count as an additional homework grade each week. Homework should be submitted on Brightspace. Late homeworks will receive an automatic 2 point deduction for each day late unless the student requests and receives an extension prior to the due date. Email the instructor if such an extension is needed. **Exams:** There will be 3 exams through this course: 2 midterm exams and 1 final exam. The midterms will each make up 25% of a student's grade, while the final will count for 40%. The course website describes the dates of each exam as well as what sections of our course book each exam will cover. Emphasis is placed here that the final is comprehensive and will test every skill from the semester. **Attendance:** Attendance will be taken each class. If a student accrues 5 unexcused absences, 10 points will be deducted from their final grade, and an additional 10 points will be deducted for each subsequent absence. This is a strict rule, but it should be emphasized that to learn this material students must be in class and engaged. If a student arrives more than 5 minutes late, then the attendance sheet for the day will have already been collected. Hence they must speak to the instructor either during the 10 minute break or after class to be marked late. Three lates will convert to an absence, so it is important to be on time. **Final Grade:** Your final grade will be computed as follows: - Homework 10% - Midterm 1 25% - Midterm 2 25% - Final Exam 40% The resulting letter grade will be calculated as follows: ::: center ![image](./Grade.png) ::: **Make-up Exams:** Students who miss a major exam due to documented illness, religious observance, or other legitimate emergencies should contact the instructor as soon as possible. Religious accommodations for exams will be honored according to CUNY policy. **Policies:** - All submitted work must be neat and clearly written. - **AI Use** You may not submit anything created by AI as any part of any assignment - You may work with others, but your homework must be written independently. - [Link](https://math.sci.ccny.cuny.edu/page/for-students/) for availability of drop-in tutoring hour - [Link](https://www.cuny.edu/about/administration/offices/legal-affairs/policies-resources/academic-integrity-policy/) to Academic Integrity Policy - [Link](https://math.sci.ccny.cuny.edu/) to Department Website - [Link](https://math.sci.ccny.cuny.edu/page/math-20500-elements-of-calculus-summer-2026-horzepa/) to the course webpage where one can find all homework and exam information - Cheating will be reported to the department and will result in harsh penalties for the offending party - Students considering withdrawal should consult academic advising before making a final decision - This is a syllabus, not a contract. I reserve the right to make minor modifications **Course Learning Outcomes:** 1. Use limits to calculate derivatives 2. Differentiate algebraic, logarithmic, and exponential functions 3. Solve related rates problems 4. Apply methods of calculus to sketch curves 5. Solve maximum and minimum problems 6. Use exponential functions to model growth and decay 7. Anti-differentiate polynomial, logarithmic, and exponential functions 8. Use calculus to find areas