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 (firstname.lastname@example.org)
Tiantian Hu (email@example.com)
Required materials: Single Variable calculus 4th 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.
MIDTERM (20%) Wednesday, 1/13 at on zoom.
FINAL EXAM- Cumulative (60%) Friday, 1/22 at on zoom.
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 M. (See schedule below.) There are no make-ups, no drops, and no extensions! Also each webassign will not count equally towards the overall webassign score.
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/.