Calculus I
Summer 2024
Instructor: Shih-Wei Yang
Contact Info.:
E-mail: swyang@mail.ncku.edu.tw
Textbook:
James Stewart, Calculus–Early Transcendentals Metric Version, Ninth Edition.
Course description:
This is a standard introductory course in calculus. Topics to be covered: Limits, continuity, trigonometric limits, derivatives, slope, velocity, rate of change, derivatives of products, quotients, Chain rule,
higher derivatives, implicit differentiation, inverse functions, exponential and logarithmic differentiation,
linear approximations, curve sketching, Max-min problems, Newton’s method, Mean value theorem, differentials, antiderivatives, differential equations, separation of variables, definite integrals, fundamental
theorem of calculus, volumes by disks, shells, numerical integration, trigonometric integrals and substitution, integration by substitution, partial fractions, integration by parts, parametric equations, arc length,
surface area, L’Hospital’s rule, improper integrals. If time permits, we will also cover: infinite series and
convergence tests, Taylor’s series. (Chapter 1 to Chapter 8, and Chapter 11)
This is not a theoretical course, but some proofs and mathematical reasoning will be introduced when
they are required for better understanding.
Exams:
4 Exams: Dates: TBA
There will be no make-up exams; instead, If one exam is missed due to a legitimate reason and
substantiating paperwork is presented, your grade on the next exam will later replace the zero grade on
the missing exam. This policy will apply even if you have a perfectly justifiable excuse to miss an exam,
so don’t ask for a make-up exam. If for any reason (weather, instructor illness, etc) class is canceled on
the day of a scheduled exam, the exam will be given on the next class meeting.
Grading:
Your course grade will be based solely on test scores.
The course grade will be the sum of the points you get from the best 3 out of the 4 exams. (Each
exam has a maximum of 40 points, and the lowest one will be discard.)
Academic Honesty: The University views academic dishonesty as one of the most serious offenses that a
student can commit while in college and imposes appropriate punitive sanctions on violators. Cheating
on an exam will not be tolerated.
Note that the syllabus is tentative. The instructor reserves the right to make changes if necessary. It is
the responsibility of each student to stay abreast of what happens in the classroom, changes in the assigned
exercises and changes in the dates of exams.
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