**AMS 161 (CALCULUS II)-Winter
2021**

__Course Description:__ This is a course in infinite series and integral
calculus where you will learn about antiderivatives
and their applications as well as the magic of infinite series and how they
approximate transcendental functions! Calculators will ** not** be permitted on exams, but in order to see the calculus,
you must have a graphing application. By the end of the course, students should
able to compute integrals, solve first order differential equations, write Maclaurin polynomials, and distinguish between the two
“opposing forces” in calculus, namely convergence and divergence. There will be
a focus on concepts and theory as well as computations and applications. Topics
will be addressed numerically, algebraically, and graphically. This is an
exciting 3 credit course which will require a great deal of your attention!
Attendance at every lecture is essential. Lectures are live and will not be
recorded.

__Course Instructor__: Bill Bernhard (bill@math.sunysb.edu)

Tiantian Hu (tiantian.hu@stonybrook.edu)

__Required materials:__ Single Variable calculus 4^{th} edition-ebook (stony brook edition) and webassign. Our class key is
sunysb 3513 6409, The course
will appear as spring 2021 since there is no option on webassign.net for a
winter course.

__Grading:__

MIDTERM (20%) Wednesday, 1/13
at

FINAL EXAM- Cumulative
(60%) Friday, 1/22 at

WEBASSIGN (20%) Students will be assigned web-based exercises
using an online system. You can purchase both the text and your access code at
webassign.net. Assignments will be given every night there is a lecture on new
material beginning on Wednesday 1/6. and due three
days later by

__Schedule of classes:__

Tuesday 1/5- Course
Introduction & Difference Equations with Sigma

Wednesday 1/6-Right Riemann
Estimate & the definition of the Riemann Integral (5.2) Webassign
#1 due 1/9 at

Thursday 1/7-Antidervative
rules, indefinite integrals, evaluation theorem, improper integrals (5.3/5.10) Webassign #2 due 1/10 at

Friday 1/8-Substitution and
parts (5.5/5.6) Webassign #3 due 1/11 at

Tuesday 1/12-Midterm Review

Wednesday 1/13- Midterm

Thursday 1/14-Maclaurin
series and Maclaurin Series for integration (8.7)
Webassign#4 due 1/17 at

Friday 1/15-Geometric series,
integral test, p series, ratio test (8.2/8.3/8.4) Webassign
#5 due 1/18 at

Tuesday 1/19-Radius of
convergence (8.5) Webassign #6 due 1/22 at

Wednesday 1/20-Differential
Equations (7.3) Webassign #7 due 1/23 at

Thursday 1/21-Final Exam
Review

Friday 1/22-Final Exam

**Americans with Disabilities Act:** If you have a physical,
psychological, medical or learning disability that may impact your course work,
please contact the

**Academic Integrity:** Each student must pursue his or her academic
goals honestly and be held personally accountable for all submitted work.
Representing another person's work as your own is **always wrong**. Faculty are required to report any suspected instances of
academic dishonesty to the Academic Judiciary. For more comprehensive
information on academic integrity, including categories of academic dishonesty,
please refer to the academic judiciary website at `www.stonybrook.edu/commcms/academic_integrity/`.

**Critical Incident Management:** Stony Brook University expects students
to respect the rights, privileges, and property of other people. Faculty are
required to report to the Office of University Community Standards any disruptive
behavior that interrupts their ability to teach, compromises the safety of the
learning environment, or inhibits students' ability to learn.

**Course Evaluation:** Each semester Stony Brook University asks students
to provide feedback on their courses and instructors through an online course
evaluation system. The course evaluation results are used by the individual
faculty, department chairs and deans to help the faculty enhance their teaching
skills and are used as part of the personnel decision for faculty promotion and
tenure. No individually identifiable data are ever reported back to the
university or instructor. Students who have completed previous evaluations can
view all faculty ratings at: `classie-evals.stonybrook.edu/`.