Math 131 (0211-221-231-241) – Massimo A. Picardello (Fall, 2013) This webpage is under construction. This WEB page is also at http://www.mat.uniroma2.it/~picard/UMD/131/Math_131.docx, http://www.mat.uniroma2.it/~picard/UMD/131/Math_131.pdf, and was last updated: 9-10-13 Lectures: 11:00-12:15 T-Th Room: ARM 0131 Recitations: Monday and Wednesday 10, 11, 2, 3 Rooms: MTH 0106, 0106, 0407, 0407 Instructor: Massimo A. Picardello Office: MTH 4416 Office phone: (301) 405 5162 Office Hours: T-Th 9:00-9:50 Science TA: Yonathan Cwik, 2113 IPST yocwik@gmail.com Office Hours: Tu 2:30 pm – 4:30 pm (starting the second week of the course; not available in the first week) Math Assistant: Christiana Sabett, Office: CSS 4326, cmsabett@smcm.edu Office Hours: Tu-Th 3:30-4:30 pm, We 1-2 pm This course is the second semester of an introduction to calculus for students in the life sciences. Applications of calculus to these disciplines form an important part of the course. Concrete calculations are emphasized and provide an opportunity to practice algebraic skills introduced in earlier courses. The syllabus is huge: our aim is to give an introduction to these advanced topics so as to make the students familiar with them in view of furthermore specific courses. Texts: • Calculus with Applications for the Life Sciences, by R. Greenwell, N. Ritchey, M. Lial. Published by Addison Wesley. ISBN: 0201745828 • Solutions Manual for Calculus for the Life Sciences - (OPTIONAL) by R. Greenwell, N. Ritchey, M. Lial. Published by Addison Wesley. ISBN: 0201770172 Calculators: Calculators will not be permitted during exams, but may be necessary to solve several homeworks. This is a second semester course in calculus with applications in biology and life sciences. DESCRIPTION PREREQUISITE Math 130 Integration (and Review of Integration for Math 130) TOPICS FToC review and examples Area between two curves, numerical integration (Trapezoidal and Simpson's) Integration by parts, volume Average value of a function, improper integrals Linear Algebra Definition of vectors and matrices Systems of equations, multiplication of a matrix and a vector Matrix addition, multiplication, identity matrix, invertible matrices Linear maps and correspondence to matrix multiplication Eigenvalues and eigenvectors Multivariable Calculus Functions of several variables, derivatives Computing the derivative, derivatives Optimization Double integrals, use for volume under a function, iterated integrals Differential Equations Introduction and separable differential equations First-order linear, Euler's method Linear systems Probability Discrete random variables Continuous random variables, uniform distribution Exponential and normal random variables Central Limit Theorem Inferential statistics Discrete Dynamics Inspiration and sequences Equilibrium and stability, cobwebbing Population models Web Posting: If you have given written permission to post your grades under your student ID or another alias, you may check your grades by clicking here: To be set up Order of Topics: Chapter Topic Sections Review - Integration 1 - 7.6 2 8 Techniques and Applications of Integration 8.1 - 8.4 2 10 Matrices 10.1 - 10.5 4 1_7 # Lectures 9 Multivariable Calculus 9.1 - 9.3, 9.5 4 11 Differential Equations 11.1-11.4 4 12 Probability 12.1 _ 12.4 2 13 Probabilility and Calculus 13.1 - 13.3 1 Central Limit Theorem online 1.5 Discrete Dynamical Systems 14.1 _ 14.3 2 14 (online) 3.5 Review periods Total Lectures: 26 Thursday, October 3 Test I Thursday, November 7 Test II Thursday, December 5 Test III Monday, December 16 (1:30-3:30) Final Resources: Testbank archives of past exams Search the testbank for MATH131, leaving Instructor, Year and Term as _Any_. Math Success walk-in tutoring Mathematics Department walk-in tutoring schedule _Tutors of Math 141 and 221 may be able to spend some time with you, once they deal with students in their courses. However, your prime source for Math Dept. help will be the TAs_ office hours listed above. Learning Assistance Service Office of Multi-Cultural Student Education (OMSE) Mathematics Tutorial Databank (online tutorials _ Follow the Math 140 _ Calculus I link or the Math 141 _ Calculus II link.) The undergraduate office (the big window in math building rotunda) has a list of private tutors. Students will sit in assigned sections of the room for the midterm exams. Each student must bring his or her university picture I.D. to the exams. Makeup exams will not be given. If you have an excused absence for an exam, the grade will be replaced by the average of the other two exam grades. If you have taken all three exams, the lowest grade will count for half. Excused absences will be given only for valid medical reasons, University business, or appearances in court. Excused homework or quizzes will not be used in computing the final grade. Make-up quizzes will not be given. Any unexcused absences on quizzes, projects, or exams will be counted as 0, including the final exam. Any student with a valid reason to be excused from an exam must contact me prior to the exam, either by email or by phone, and present documentation at the next class session attended. If you need to be excused for a religious observance, you should let me know as soon as possible, but in any case no later than the end of the schedule adjustment period. If you have a documented disability and wish to discuss academic accommodations with me, please contact me as soon as possible. Please check your final exam schedule. If there is a potential conflict, contact me during the schedule adjustment period so we can discuss the situation. E-MAIL: Students may get email throughout the semester. Email is sent by a course reflector to email addresses officially registered with the University, and students are responsible for maintaining a correct address. If your official email address is not correct, then click here to update it. Homework: Homework consists of reading the relevant sections of the textbook and doing practice problems, with particular attention to those listed below. Homeworks are not graded, but are important for your learning, and exams will be largely based on them (the exam problems will be similar to some of the even-numbered homework problems, possibly with different phrasing and different numerical constants: but not necessarily so for the common final exam). Therefore, if you have difficulties with the homeworks, you should visit your TAs for help. You should spend at least 5-6 hours per week on homeworks. Quizzes and worksheets: Student participation in the recitation classes on Monday and Wednesday is an important part of the course. There are weekly quizzes in each math discussion section, and worksheets, to be done in small groups, in each life sciences discussion section. A missing quiz grade will be dropped only when you have a legitimate reason for missing. (Here "legitimate" is interpreted more liberally than for exams. Present your evidence to your recitation instructor, as soon as possible after a missed quiz or project.) At the end of the semester, the total of the quiz scores and worksheet score will be converted to a 100-point basis. A quiz grade and a worksheet grade will be dropped. Class Participation: If clickers will be used, your clicker response rate in lecture will be recorded, but not your answers. Academic Dishonesty: Please consult the following website regarding university policy on academic dishonesty: http://www.shc.umd.edu/code.html. You should be familiar with the University's policies on Academic Integrity, including the Honor Pledge. Any instances of academic dishonesty on worksheets, quizzes, or exams will be vigorously prosecuted. Behavior in class: Of course students should better pay attention all the time to what the instructor teaches, and avoid to chat on the Internet or read their email instead. But some types of behaviors are considered inacceptable: tose who create any type of disruptance and confusion in the audience, distracting others students who are trying to learn. This includes making noise, talking loudly with other students, whispering repeatedly, talking on the phone. Going out of the classroom is some sort of disruptance, but of course it may be necessary sometimes. Going out and back in more than once, for instance to make phone calls, is severely discouraged. I reserve the right to make changes in the syllabus that I feel are necessary. Any changes in the syllabus will be announced in class and posted to the website. Extra help is available during my office hours and in the tutoring room, MTH 0301. The list of homework problems below is an important indication to the students, but homeworks will not be graded. Tentative Schedule of Lectures Math 130 Fall 2012 Sections 01** University of Maryland, College Park The following course schedule is tentative, subject to change as necessary. Day Date Section Section Practice exercises _ to be done after the lecture. Tues Thurs Tues 3-Sep 5-Sep 10-Sep Review Chapter 7 Review Chapter 7 8.1 8.2 1- 13, 25-26 1-16, 19-28, 40-41, 44 Thurs 12-Sep 8.3 11-24, 26-35, 40 8.4 1-4, 7-8, 13-14, 18-20, 22-25,44-46 10.1 1-36, 43-44, 46-47, 50 Tues 17-Sep 10.2 1-37, 39, 41 Thurs 19-Sep 10.3 1-31, 43 Tues 24-Sep 10.4 1-24, 27-30, 59 Thurs 26-Sep 10.5 1-8, 10-11, 14-19 Tues 1-Oct Review Old exams: _Resources_ at www.math.umd.edu/undergraduate Thurs 3-Oct Exam 1 Tues 8-Oct 9.1 1-13, 14-17, 22-29, 32-38 Thurs 10-Oct 9.2 1-46, 47-52 Tues 15-Oct 9.3 1-26, 32-33 Thurs 17-Oct 9.5 1-40, 43-50, 53-61, 64-67, 69-71 Tues 22-Oct 11.1 1-32, 38, 39a, 40-42 Thurs 24-Oct 11.2 1-22, 25, 34-35 Tues 29-Oct 11.3 1-18, 30, 33-34 Thurs 31-Oct 11.4 1-4, 12 Tues 5-Nov Review Old exams: _Resources_ at www.math.umd.edu/undergraduate Thurs 7-Nov Exam 2 Tues 12-Nov 12.1 1-50, 52-65 12.2 1-38, 40-43, 64-70 Thurs 14-Nov 12.3 1-14, 25-26, 33-47, 51-53 12.4 1-16, 17, 20 Tues 19-Nov 13.1 1-19, 23-26, 27-29, 32-34 Thurs 21-Nov 13.2 1-14, 21-26, 28-29 13.3 1-6, 9-14 28-33, 36 Tues 26-Nov CLT Handout* Tues 3-Dec Review Thurs 5-Dec Exam 3 Tues 10-Dec 14.1** 1-12, 14-15, 17-18, 20-21 14.2 1-12, 13-15 Thurs 12-Dec 14.3 1-9, 10-12 Review Old exams: _Resources_ at www.math.umd.edu/undergraduate Monday 16-Dec Final Exam **ch_14.pdf Grading: Old exams: _Resources_ at www.math.umd.edu/undergraduate 1:30 _ 3:30 pm room to be announced *The Central Limit Theorem Exams 45 % Final 25 % Quizzes 15 % Worksheets 15 % . 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