2022 Fall Course Syllabus - Mathematics 1031.001

2022 Fall Course Syllabus - Mathematics 1031.001

Course: Mathematics 1031.001.

Course Title: Differential and Integral Calculus.

Credits: 4.

How this course will be taught: In person.

Time: TR 3:30 - 5:10 pm.

Place: Beury 160.

Instructor: Dumitru Dan Rusu.

Instructor Office: Wachman 550.

Instructor Email: dumitru.rusu@temple.edu

Instructor Phone: Please use my email. Email me directly, not via Canvas.

Office Hours: TR 12:20 - 3:20 pm and by appointment. Please note that the office hours may not be used to cover material missed due to unjustified absences.

Prerequisites: Mathematics placement test or grade of C or better in Mathematics 1021, College Algebra, or its equivalent. This course may not be repeated for additional credits.

Course Materials: "Applied Calculus" by D. Hughes-Hallett, P.F. Lock, A.M. Gleason, and others, 5th edition, Wiley 2013, ISBN-13: 978-1118679197 (available ONLINE from the Temple University Libraries).

Course Goals: This is a calculus course in the reform style that will introduce students to the basic concepts of differential and integral calculus and will enhance their problem solving skills. The emphasis of the course will be on understanding the concepts (intuitively rather than rigorously). However, the course will also cover the basic techniques of differentiation and some techniques of integration. The many applications that will be considered will present mathematics as a live and fundamental subject. NOTE: (1) This is the course appropriate for those students who are taking calculus in order to fulfill the quantitative core requirements. (2) This course can be used to satisfy the university Core Quantitative Reasoning B (QB) requirement or the GenEd Quantitative Literacy (GQ) requirement.

Topics Covered: We will cover the first six chapters of the textbook. Topics include: lines, slope, and average rates of change; functions; linear and polynomial functions; exponential and logarithmic functions; periodic functions; limits and continuity; derivatives and their interpretations; techniques of differentiation, including the chain rule; applications of the derivative to rates of change, optimization, and graphing functions; definite integrals, their interpretation, and applications; antiderivatives and indefinite integrals; the fundamental theorem of calculus; area between two curves; many other applications.

Course Grading: Your course grade will be computed according to the following scheme: 10% homework + 15% quizzes + 40% midterm exams + 35% final exam. Correspondence between the numerical and letter grades is: 93-100 A, 90-92 A-, 87-89 B+, 83-86 B, 80-82 B-, 77-79 C+, 73-76 C, 70-72 C-, 65-69 D+, 55-64 D, 50-54 D-, 0-49 F.

Exam Dates: We will have midterm exams, tentatively scheduled for Thursday, September 29 and Thursday, November 10. They will be held during regular course hours. The final cumulative exam is scheduled on Thursday, December 8, 1:00 - 3:00 pm. Each exam will consist in problems similar to those of the homework.

Attendance Policy: Attendance is required, and you are responsible for all material covered in class. Students who miss more than 4 TR classes without an excuse will have their grades lowered by one notch (e.g., from B to B-). Those who miss more than 8 TR classes without an excuse will have their grades lowered by two notches, etc.

Attendance and Your Health: To achieve course learning goals, students must attend and participate in classes, according to your instructors' requirements. However, if you feel unwell or if you are under quarantine or in isolation because you have been exposed to the virus or tested positive for it, you should not come to campus or attend in-person classes or activities. Students have the responsibility to contact their instructors to create a plan for participation and engagement in the course as soon as they are able to do so and to make a plan to complete all assignments in a timely fashion when illness delays their completion.

Approaches to Learning: Learning calculus is not quite the same as learning algebra. In algebra you learned primarily how to calculate with numbers, how to simplify algebraic expressions and play with variables. Calculus involves those techniques and skills but develop others as well, with greater precision and at a deeper level. Due to the broad spectrum of this course, you may find the pace fast. Calculus introduces so many new concepts and computational procedures, in fact, that you will no longer be able to learn everything you need in class. You will have to learn a fair amount on your own. What should you do to learn? 1) Read the notes and the textbook carefully; do not read them passively. Do not assume that you understand and know a topic just because it makes sense when you see the material explained by someone else. 2) Complete the homework exercises. You are going to work hard consistently throughout the entire semester to be successful in this course. Mathematics is not a spectator game and it can be only learned through practice. Asking questions during class is encouraged and appreciated. 3) Be sure to allocate enough time to stay current and keep up with daily work and homework. This is not a class you want to fall behind in. 4) Don't give up after one small attempt. Really try to sort out your difficulties yourself. Then, if you are still stuck, be prepared to show me exactly those parts of the notes and examples that are giving you trouble. Don't say, "I don't have a clue what's going on". Rather, read over your notes thoroughly, and be prepared to say, "I understand everything up to this line. How did we get from here to here?" "We discussed in class this problem, but how do I approach this similar problem?" ETC. In other words, do your part and spend some time with the material.

Course Attitudes: It is very important to foster a respectful and productive learning environment that includes all students in our diverse community of learners. Treat your classmates and instructor with respect in all communication, class activities, and meetings. All opinions and experiences, no matter how different or controversial they may be perceived, must be respected in the tolerant spirit of academic discourse. You are encouraged to comment, question, or critique an idea but you are not to attack an individual. Our differences, some of which are outlined in the University's nondiscrimination statement (opens in a new tab/window), will add richness to this learning experience. Please consider that sarcasm, humor and slang can be misconstrued in online interactions and generate unintended disruptions. Profanity should be avoided as should the use of all capital letters when composing responses in discussion threads, which can be construed as "shouting" online. Remember to be careful with your own and others' privacy. In general, have your behavior mirror how you would like to be treated by others.

Homework: A substantial portion of your learning in this course will take place through homework and for this reason it is essential that you be conscientious about doing them. Homework assignments will be assigned on regular basis and will consist of selected textbook problems that I will grade for completeness. Your consistent effort will certainly lead to improved understanding, and it will almost certainly lead to you earning high grades. We may go over the most difficult problems at the beginning of each class but it is your responsibility to look for clarification of any other questions during office hours.

Quizzes: Quizzes will be given on regular basis except during those weeks in which an exam is scheduled. Each quiz will consist of problems similar to the ones assigned from the textbook. There will be no make-up quizzes. Missed quizzes will receive a score of zero.

Make Up Policy: There will be no regularly scheduled make-up exams. In the case of a DOCUMENTED EMERGENCY that prevents a student from taking a test as scheduled, the student must contact their instructor immediately in order to discuss alternative arrangements.

CANVAS: This is a registered CANVAS course. Please check CANVAS daily for important announcements.

Exam Security Policy: We have a zero tolerance policy towards cheating. Students caught cheating on a problem in a test (receiving outside help, using unauthorized resources or devices such as calculators, online resources, etc.) will receive a score of 0 for the entire test. This is consistent with the Temple University Academic Honor Code (see https://secretary.temple.edu/sites/secretary/files/policies/03.70.12.pdf ) that states: "Every member of the university community is responsible for upholding the highest standards of honesty at all times. Students, as members of the community, are responsible for adhering to the principles of academic honesty and integrity". More serious penalties are possible and those caught cheating will be reported to the office of student conduct.

Academic Support: The Student Success Center (SSC) and the Math TA and CA Consulting Center (MCC) both provide excellent support services for this course throughout the semester. Information regarding the services these centers provide will be posted on the course Canvas page. Students are strongly encouraged to take advantage of these services! Some information can be found here: https://www.math.temple.edu/ugrad/tutoring/MCC.html and here: https://studentsuccess.temple.edu/.

Disability Statement: Any student who has a need for accommodations based on the impact of a documented disability or medical condition should contact Disability Resources and Services (DRS) in Howard Gittis Student Center South, Rm 420 (drs@temple.edu; 215-204-1280) to request accommodations and learn more about the resources available to you. If you have a DRS accommodation letter to share with me, or you would like to discuss your accommodations, please contact me as soon as practical. I will work with you and with DRS to coordinate reasonable accommodations for all students with documented disabilities. All discussions related to your accommodations will be confidential.

Academic Freedom: Freedom to teach and freedom to learn are inseparable facets of academic freedom. The University has adopted a policy on Student and Faculty Academic Rights and Responsibilities (Policy # 03.70.02) which can be accessed here (opens in new tab/window).

Add/Drop Policy: Students will be charged for a course unless dropped by the Drop/Add deadline date. Check the University calendar (opens in new tab/window) for exact dates.

During the Drop/Add period, students may drop a course with no record of the class appearing on their transcript. Students are not financially responsible for any courses dropped during this period. In the following weeks prior to or on the withdrawal date students may withdraw from a course with the grade of "W" appearing on their transcript. After the withdrawal date students may not withdraw from courses. Check the University Calendar (opens in new tab/window) for exact dates. See the full policy by clicking here (opens in new tab/window).

Incomplete Policy: The grade "I" (an "incomplete") is only given if students cannot complete the course work due to circumstances beyond their control. It is necessary for the student to have completed the majority of the course work with a passing average and to sign an incomplete contract which clearly states what is left for the student to do and the deadline by which the work must be completed. The incomplete contract must also include a default grade that will be used in case the "I" grade is not resolved by the agreed deadline. See the full policy by clicking here (opens in new tab/window).

Student Support Services: The following academic support services are available to students (all links open in a new tab/window):
    The Math Consulting Center
    Student Success Center
    University Libraries
    Undergraduate Research Support
    Career Center
    Tuttleman Counseling Services
    Disability Resources and Services
If you are experiencing food insecurity or financial struggles, Temple provides resources and support. Notably, the Temple University Cherry Pantry and the Temple University Emergency Student Aid Program are in operation as well as a variety of resources from the Division of Student Affairs.

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