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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%
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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.
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