Math 147 Calculus I for Biological Sciences Spring 2014 Instructor: Dr. Janice Epstein, Blocker 245D, 845-3261 Office Hours: Tuesdays 10:30A – noon and Thursdays 9:00A – 10:30A. Also by appointment. Email: j-epstein@tamu.edu. Include your full name and class/section number in any email Webpage: www.math.tamu.edu/~epstein/Math147 Class Meeting Times: Section Math 147 – 502 Math 147 – 503 Math 147 – 504 Math 147 – 505 Math 147 – 506 Lecture in BLOC 166 TR 12:45P – 2:00P TR 12:45P – 2:00P TR 2:20P – 3:35P TR 2:20P – 3:35P TR 2:20P – 3:35P Recitation MW 9:10A – 10:00A in CE 222 MW 10:20A – 11:10A in CE 136 MW 11:30A – 12:20P in MILS 316 MW 12:40P – 1:30P in CE 223 MW 1:50P – 2:40P in BLOC 121 Catalog Description: Math 147: Calculus I for Biological Sciences. (3-2). Credit 4. Introduction to differential calculus in a context that emphasizes applications in the biological sciences. Prerequisite: MATH 150 or equivalent or acceptable score on TAMU Math Placement Exam. Credit will not be given for more than one of MATH 131, MATH 142, MATH 147, MATH 151 and MATH 171. Learning Outcomes: Graph linear, trigonometric, exponential, and logarithmic functions. Read semilog and double-log plots and derive functional relationships associated with such plots. Compute basic limits of functions. Understand the concept of continuity and be able to determine whether or not a given function is continuous. Compute limits of functions using the Sandwich (Squeeze) Theorem. Understand the Intermediate Value Theorem and be able to apply it in locating roots of algebraic equations. Compute derivatives using the limit definition of the derivative. Compute the equation of a line tangent to a curve at a given point. Compute derivatives of polynomials, rational functions, trigonometric functions, exponential functions, inverse functions, and logarithmic functions. Compute derivatives with the product rule, the quotient rule, and the chain rule. Solve problems of related rates. Compute the linear approximation of a function and use it in applications of approximation and error estimation. Locate critical values of a function and categorize them as minima, maxima, or inflection points. Compute intervals of monotonicity and intervals of concavity. Graph complicated functions using information obtained by differentiation. Analyze optimization problems. Compute limits using L’Hospital’s Rule. Compute limits of sequences and recursions. Model single-species populations and analyze single-species population models. Compute integrals using Riemann sums. Compute integrals using the Fundamental Theorem of Calculus. Compute integrals using the method of substitution. Use integration to compute areas, volumes, average values and arclengths. 1 Required Materials: Textbook: Calculus for Biology and Medicine, Third Edition, by Claudia Neuhauser, Pearson (2010). ISBN: 9780321644688 Calculator: A basic scientific calculator is need. If it is not a TI-30 type calculator, you will need approval of the instructor. Texas A&M Student ID: You must bring your student ID to class with you. Clicker: An i>clicker2 is required during lecture. ISBN 1429280476 Grading: Recitation (quizzes, activities, and homework) Lecture (clicker) Three In-Class Exams Cumulative Final Exam 250 points 50 points 150 points each 250 points Homework (50 points): Homework will consist be written assignments from the textbook. Typically homework is due on Wednesday in recitation. Quizzes (100 points): Quizzes will typically be done on Wednesday in recitation. Activities (100 points): Activities will typically be done during recitations on Monday. Course Grade: There are a total of 1000 points possible. At the end of the semester, if you have 900 or more points, you will receive an A. Totals between 800 and 899 will receive a B. 700 to 799 points will be a C. 600 to 699 points will be a D. Less than 600 points will be an F. Tentative Exam Schedule: Exam 1 Sections 1.1–1.3, 3.1–3.5, 4.1 Exam 2 Sections 4.2–4.8, 5.1 Exam 3 Sections 5.2–5.6, 2.1–2.3, 6.1 Final Exam All of the sections above and sections 6.2, 6.3, and 7.1 Thursday, February 13th 7:30 PM – location TBA Thursday, March 20th 7:30 PM – location TBA Tuesday, April 22th 7:30 PM – location TBA Math 147 501 – 503 Wednesday, May 7th 8A in BLOC 166 Math 147 504 – 506: Wednesday, May 7th 1P in BLOC 166 Attendance & Make-up Policy: Attendance is required in this class. No make-up exams or late assignments are possible /accepted without a University-approved excused absence (see http://student‐rules.tamu.edu/rule07). An absence for a non-acute medical service or regular check-up does not constitute an excused absence. To be excused, you must notify me in writing prior to the date of absence, if possible. Consistent with Texas A&M Student Rules, in cases where advance notification is not feasible (e.g. accident, or emergency) the student must provide notification by the end of the second working day after the absence. This notification must include an explanation of why notice could not be sent prior to the class. For injury or illness too severe or contagious to attend class, you must provide confirmation of a visit to a health care professional affirming date and time of visit. The Texas A&M University Explanatory Statement for Absence from Class form will not be accepted. It is the student's responsibility to schedule a make-up in a timely manner. This course has regularly scheduled make-up exams held in BLOC 102. If you are unable to make-up a missed exam at the times below, you will need a second university excused absence for all of the listed times for that exam. o Exam I: 2/14 4:00-6:30 p.m. or 2/16 6:15-8:45 p.m. or 2/17 7:30-10:00 p.m. o Exam II: 3/21 4:00-6:30 p.m. or 3/24 7:30-10:00 p.m. o Exam III: 4/24 7:30-10:00 p.m. or 4/25 4:00-6:30 p.m. 2 Copyright: All exams, printed handouts and/or assignments, and web-materials are protected by U.S. Copyright Laws. No multiple copies can be made without my written permission. No exams or assignments may be shared with anyone outside of the class. Academic Integrity Statement: "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 not exclude any member of the TAMU community from the requirements or the processes of the Honor System. For additional information please visit http://www.tamu.edu/aggiehonor/ Disabilities: 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, in Cain Hall, Room B118, or call 845-1637. For additional information visit http://disability.tamu.edu Tentative Schedule: All changes will be announced in class, on the web, or via e-mail. Week 1: 1.1-1.2 Week 2: 1.3, 3.1 Week 3: 3.2, 3.3, 3.4 Week 4: 3.5, 4.1 Week 5: 4.2, 4.3 and Exam 1 (covering 1.1–1.3, 3.1–3.5, 4.1) Week 6: 4.4, 4.5 Week 7: 4.6, 4.7 Week 8: 4.8, 5.1 Week 9: 5.2, 5.3 and Exam 2 (covering 4.2–4.8, 5.1) Week 10: 5.4, 5.5 Week 11: 2.1, 2.2, 2.3 Week 12: 5.6 Week 13: 6.1, 6.2 Week 14: 7.1 and Exam 3 (covering 5.2–5.6, 2.1–2.3, 6.1) Week 15: 7.1, Review Week 16: Final Exam (comprehensive) 3