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Math 30: Introduction to Calculus Syllabus Instructor: Daniel Keliher Email: daniel.keliher@tufts.edu Office: Bromfield-Pearson 207 Class Time: Tu, We, Th 10-12:50, Location TBD Term: Summer II, 7/2 - 8/9 Office Hour: TBD Course Website: TBD Prerequisites: Basic algebra, solving equations of one variable. Course Description: We will cover the basics of calculus of one variable. Topics will in- clude functions, polynomials, exponentials, logarithms, limits, derivatives, integration and their applications. At the end of the course, students will be have an understanding of these topics and how to apply them. Students will also gain experience is communicating mathematics. Textbook: The official book for the course is Calculus & Its Applications, 13th ed., Gold- stein, Lay, Schneider, Asmar (or you can use Brief Calculus & Its Applications, 13th ed., same authors). I will be assigning problems from this book. That said, you are not re- quired to buy it. We will make a copy available and certainly make the problems available to everyone. Homework: Problems will be assigned daily from the book. These problems will not be collected or graded, but it is extremely important that you do them. Answers to all homeworkquestions are in the book. I will also be delighted to discuss homework problems in office hours after you have thought about them. Quizzes and Worksheets: Worksheets and quizzes will make up around half of your grade. There will be short quizzes twice every week. These are meant to test your com- prehension of that week’s material. All quiz questions will be taken directly from in-class examples and homework questions. Further, each class I will give out a worksheet to be completed in small groups (after all, discussing mathematics with others is an excellent way to learn it!). Exams: There will be two exams, on July 18th and on August 8th, both during normally scheduled class time. Grading: Your final grade will consist of the following 1. Participation - 5% 1 2. Quizzes - 25% 3. Worksheets - 25% 4. Midterm Exam - 20% 5. Final Exam - 25 % I do not have predetermined grade cutoffs, but they will be set no higher than the following: A+ (98 and above), A (93-97), A-(90-92), B+ (87-89), B (83-86), B-(80-82), C+ (77-79), C (73-76), C-(70-72), D+ (67-69), D (63-66), D-(60-62), F (below 60). Tentative Schedule: Week 1: Functions, polynomials, logs, exponentials, and their limits Week 2: More on limits, derivatives Week 3: Derivatives and their application, Exam 1 Week 4: More applications, defining integration, Riemann sums Week 5: Integrals, Fundamental Theorem of Calculus Week 6: Review and Exam 2 Student Accessibility Services: Tufts is committed to providing equal access and sup- port to all qualified students through the provision of reasonable accommodations so that each student may fully participate in the Tufts experience. If you have a disability that requires reasonable accommodations, please contact the Student Accessibility Services of- fice at the beginning of the term at Accessibility@tufts.edu or 617-627-4539 to make an appointment with an SAS representative to determine appropriate accommodations. NB:PleasenotethatMath30isacourseincalculus,not aprecalculuscourse. Iwillexpect some comfort with functions and algebra. Further, Math 30 is not adequate preparation for Math 34. Engineers cannot take Math 30 for credit. If you are thinking about taking Math 32 after taking Math 30, please be aware you won’t get full credit for Math 32. If you are not sure whether Math 30 is the appropriate course for you, please come talk to me about it. 2
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