Math152 504-506 F19 - Syllabus for Math 152 with Tamas Erdelyi PDF

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Syllabus for Math 152 with Tamas Erdelyi...

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Fall 2019 Math 152 Syllabus Engineering Mathematics II INSTRUCTOR INFORMATION Name: Tamas Erdelyi Email: [email protected] Office: BLOC 623c Webpage: http://www.math.tamu.edu/~tamas.erdelyi/

Phone: Dept. of Math.: 979-845-3261 Office Hours TR: 10:00 - 11:30 am, and by appointment

COURSE INFORMATION Course Title: MATH 152 – Engineering Mathematics II Term: Fall 2019 Sections: 504 - 506 Class Times and Locations: Lecture: MWF 10:20 – 11:10 am, HELD 111 Lab/Recitation (conducted by Zaifeng Lin) 504: T 08:00 - 08:50 am, BLOC 163, R 08:00 - 08:50 am, BLOC 128 505: T 09:10 - 10:00 am, HEB 222, R 09:10 - 10:00 am, BLOC 124 506: T 10:20 - 11:10 am, HEB 223, R 10:20 - 11:10 am, BLOC 126 COURSE DESCRIPTION AND PREREQUISITES Catalog Description: Integration techniques and their applications (area, volumes, work), improper integrals, analytic geometry, vectors, infinite series, power series, Taylor series, computer algebra (Python). No credit will be given for more than one of MATH 148, MATH 152 and MATH 172. Prerequisite: Math 151 or equivalent LEARNING OUTCOMES This course is focused on quantitative literacy in mathematics as applied to Engineering and Physics. Upon successful completion of this course, students will be able to:       

Use the concepts of definite integrals to solve problems involving area, volume, work, and other physical applications. Use substitution, integration by parts, trigonometric substitution, and partial fractions to evaluate definite and indefinite integrals. Apply the concepts of limits, convergence, and divergence to evaluate different types of improper integrals. Determine convergence or divergence of sequences and series. Use Taylor and Maclaurin series to represent functions and to integrate functions not integrable by conventional methods. Use parametric representations of curves to find arc length and surface area. Understand and use polar coordinates to represent curves and to find areas of polar regions.

TEXTBOOKS AND MATERIALS Textbook: Stewart, Calculus: Early Transcendentals, 8th edition, Cengage Learning. The textbook is available in different formats. You can buy a hard-back or loose-leaf copy or you can purchase an eBook within the online system WebAssign. See the link below for more information on WebAssign and purchasing options. Calculator Policy: Calculators are not allowed on exams or quizzes. The use of a calculator on a quiz or exam is considered academic dishonesty and will be reported to the Aggie Honor Council. WebAssign Account Access Code: WebAssign will be used for online homework in this class. In order to use WebAssign, you must purchase an access code or have bought lifetime access for this book in a previous semester. For access code and textbook purchasing information and options, please see the Student Information Page at http://www.math.tamu.edu/courses/eHomework/

Fall 2019 Math 152 Syllabus Engineering Mathematics II

GRADING POLICIES Grade Breakdown Assessment Date Homework Weekly

Percent 5%

Quizzes Labs

Weekly Weekly

5% 5%

PLTL Activities Common Exam 1 Common Exam 2 Common Exam 3 Final Exam Total

Weekly Thursday, September 26, 07:30 – 09:30 pm Thursday, October 24, 07:30 – 09:30 pm Thursday, November 21, 07:30 – 09:30 pm Tuesday, December 10, 08:00 - 10:00 am, HELD 111

5% 20% 20% 20% 20% 100%

Grading Scale: Final grades will be at least as generous as the cutoffs provided in the table below. Range Grade 90 ≤ Average ≤ 100 A 80 ≤ Average < 90 67 ≤ Average < 80

B C

57 ≤ Average < 67 Average < 57

D F

Due to FERPA privacy issues, I cannot discuss grades over email or phone. If you have a question about your grade, please come see me in person. ADDITIONAL COURSE INFORMATION Common Exams: There will be 3 common exams during the semester. These exams are evening exams taken by all Math 152 students at the same time. Bring your Texas A&M student ID and a pencil to all exams. The location of the common exams will be determined at a later time. The dates for the exams and the tentative content are as follows: Common Exam 1: Thursday September 26, 07:30 – 09:30 pm (through 7.2) Common Exam 2: Thursday October 24, 07:30 – 09:30 pm (through 11.3) Common Exam 3: Thursday November 21, 07:30 – 09:30 pm (through 11.11) For Common Exam 1 only, if you take the exam and you score below a 70, you will have the opportunity to take a different exam covering the same content to improve your grade. The maximum score you may earn on the retest is 70, meaning that if you make above a 70 on the retest, your score is recorded as a 70. If your score on the retest is higher than your first attempt, it will replace your original score, up to the maximum of 70. Tentatively, the retest will be given two weeks after the common exam on Friday, October 12. Final Exam: The final exam will be a cumulative (comprehensive) exam and is required for all students. If your final exam grade is higher than your lowest taken common exam score, then the grade on your final will replace your lowest test grade in the course grade calculation. The day and time of the final exam are determined by the University and are given below. Sections 504 - 506: Tuesday December 10, 08:00 - 10:00 am, HELD 111

Fall 2019 Math 152 Syllabus Engineering Mathematics II Homework: Homework assignments will be done online in WebAssign. For important information such as how to purchase access, how to log in and take assignments, the Student Help Request Form, and other WebAssign issues, please see http://www.math.tamu.edu/courses/eHomework. I suggest you bookmark this page and visit it before you log in to WebAssign each time. You must log in to WebAssign through the TAMU WebAssign login page at www.webassign.net/tamu/login.html. Quizzes/Labs/PLTL Activities: Each section will meet twice weekly for lab and recitation. In lab, you will work in groups to complete Python assignments and will take weekly quizzes for a grade. In recitation, you will work in groups to complete PLTL (Peer Led Team Learning) Activities. You must attend the recitation and lab you are registered for. Grade Appeals: If you believe an error has been made in grading, you have until the next class period after the exam, quiz, or assignment has been handed back to let me know. Otherwise, you must accept the grade you received. Copyright Statement: All printed handouts and web-materials are protected by US Copyright Laws. No multiple copies can be made without written permission by the instructor. Helpful Links: Help Sessions Week in Reviews Academic Calendar Final Exam Schedule

http://www.math.tamu.edu/courses/helpsessions.html http://www.math.tamu.edu/courses/weekinreview.html http://registrar.tamu.edu/General/Calendar.aspx http://registrar.tamu.edu/General/FinalSchedule.aspx

ATTENDANCE AND MAKEUP POLICIES The University views class attendance as an individual student responsibility. It is essential that students attend class and complete all assignments to succeed in the course. University student rules concerning excused and unexcused absences as well as makeups can be found at http://student-rules.tamu.edu/rule07. In particular, make-up exams and quizzes or late homework/labs will NOT be allowed unless a University approved reason is given to me in writing. Notification before the absence is required when possible. If advance notification is not possible, you must notify me within 2 working days of the missed exam, quiz, or assignment to arrange a makeup. In all cases where an exam/quiz/assignment is missed due to an injury or illness, whether it be more or less than 3 days, I require a doctor’s note. I will not accept the “University Explanatory Statement for Absence from Class” form. Further, an absence due to a non-acute medical service or appointment (such as a regular checkup) is not an excused absence. Providing a fake or falsified doctor's note or other falsified documentation is considered academic dishonesty, will be reported to the Aggie Honor Council, and will result in an F* in the course. Makeup exams and quizzes will only be allowed provided the above guidelines are met. Arrangements must be made with me to schedule a makeup during one of the scheduled makeup times provided by the Math Department. The makeup exam schedule can be found at http://www.math.tamu.edu/courses/makeupexams.html. You are required to attend the earliest scheduled makeup following your absence unless you have a University-approved excuse for missing that makeup time as well. AMERICANS WITH DISABILITIES ACT (ADA) POLICY STATEMENT The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accommodation of their disabilities. If you believe you have a disability requiring an accommodation, please contact Disability Services, currently located in the Disability Services building at the Student Services at White Creek complex on west campus or call 979-845-1637. For additional information, visit http://disability.tamu.edu. ACADEMIC INTEGRITY STATEMENT Aggie Honor Code: “An Aggie does not lie, cheat, or steal, or tolerate those who do.” Upon accepting admission to Texas A&M University, a student immediately assumes a commitment to uphold the Honor Code, to accept responsibility for learning, and to follow the philosophy and rules of the Honor System. Students will be required to state their commitment on examinations, research papers, and other academic work. Ignorance of the rules does

Fall 2019 Math 152 Syllabus Engineering Mathematics II not exclude any member of the TAMU community from the requirements or the processes of the Honor System. For additional information please visit http://aggiehonor.tamu.edu.

TENTATIVE WEEKLY SCHEDULE WEEK TOPIC

SECTIONS COVERED

1

Integration by Substitution, Area

Sections 5.5, 6.1

2

Area (contd), Volumes by Slicing, Disks, and Washers

Sections 6.1, 6.2

3

Volume by Cylindrical Shells, Work

Sections 6.3, 6.4

4

Integration by Parts, Trigonometric Integrals

Sections 7.1, 7.2

5

Integration by Trigonometric Substitution, Review Exam 1 (Covers through Section 7.2)

Section 7.3

6

Integration by Partial Fractions, Improper Integrals

Sections 7.4, 7.8

7

Improper Integrals (contd), Sequences, Series

Sections 7.8, 11.1, 11.2

8

Series (contd), Integral Test

Sections 11.2, 11.3

9

Comparison Tests Exam 2 (Covers through Section 11.3)

Section 11.4

10

Alternating Series, Absolute Convergence and Ratio Test, Power Series Sections 11.5, 11.6, 11.8

11

Power Series (contd), Representing Functions as Power Series

Sections 11.8, 11.9

12

Taylor and Maclaurin Series, Taylor Polynomials

Sections 11.10, 11.11

13

Exam 3 (Covers through Section 11.11), Review of Parametric Equations, Arc Length and Surface Area with Parametric Curves

Sections 10.1, 10.2

14

Polar Coordinates, Areas and Lengths in Polar Coordinates, Conic Sections

Sections 10.3, 10.4, 10.5

15

Conic Sections in Polar Coordinates, Final Exams begin

Section 10.6

CORE OBJECTIVES Critical Thinking: The following critical thinking skills will be assessed on in-class quizzes and exams: • Students will use graphs and visual skills to formulate and evaluate definite integrals to calculate areas, volumes, work, and surface areas of revolution. • Students will analyze definite and indefinite integrals to determine and apply appropriate methods of evaluation of these integrals. • Students will apply logical reasoning to determine the convergence or divergence of improper integrals and evaluate convergent improper integrals where appropriate. • Students will apply logical reasoning to determine the convergence or divergence of sequences and series and evaluate convergent sequences and series where appropriate. • Students will use Taylor and Maclaurin series to represent functions which cannot be integrated conventionally. Integrative Learning: The following integrative learning skill will be assessed on computer lab assignments: • Students will apply mathematical and logical reasoning skills to use Computer Algebra Systems such as Python to solve problems in Physics and a variety of Engineering fields. Problem Solving: The following problem solving skills will be assessed on in-class quizzes and exams: • Students will formulate and evaluate definite integrals to solve practical problems involving work and volume. • Students will use geometric series to model and solve numerical and practical problems. • Students will set up integrals using polar coordinates to find areas and lengths of polar curves. Communication: The following written communication skills will be assessed on in-class quizzes and exams: • Students will clearly explain problem-solving strategies and analysis used to answer questions concerning topics discussed in class.

Fall 2019 Math 152 Syllabus Engineering Mathematics II •

Students will use appropriate theorems to present clear written arguments in support of the convergence or divergence of improper integrals, sequences, and series.

Quantitative Literacy: The following quantitative literacy skills will be assessed on in-class quizzes and exams: • Students will interpret a given integral as the area of an appropriate 2-dimensional region, volume of an appropriate solid, or area of an appropriate 3-dimensional surface. • Students will use appropriate calculations to analyze the convergence or divergence of series.

TITLE IX AND STATEMENT ON LIMITS TO CONFIDENTIALITY Texas A&M University and the College of Science are committed to fostering a learning environment that is safe and productive for all. University policies and federal and state laws provide guidance for achieving such an environment. Although class materials are generally considered confidential pursuant to student record policies and laws, University employees — including instructors — cannot maintain confidentiality when it conflicts with their responsibility to report certain issues that jeopardize the health and safety of our community. As the instructor, I must report (per Texas A&M System Regulation 08.01.01) the following information to other University offices if you share it with me, even if you do not want the disclosed information to be shared: • Allegations of sexual assault, sexual discrimination, or sexual harassment when they involve TAMU students, faculty, or staff, or third parties visiting campus. These reports may trigger contact from a campus official who will want to talk with you about the incident that you have shared. In many cases, it will be your decision whether or not you wish to speak with that individual. If you would like to talk about these events in a more confidential setting, you are encouraged to make an appointment with the Student Counseling Service (https://scs.tamu.edu/ [scs.tamu.edu]). Students and faculty can report non-emergency behavior that causes them to be concerned at http://tellsomebody.tamu.edu [tellsomebody.tamu.edu]....