Course Outline and Recommended Problems - Brief Survey of Calculus I | MATH, Lecture notes of Mathematics

Download Course Outline and Recommended Problems - Brief Survey of Calculus I | MATH and more Lecture notes Mathematics in PDF only on Docsity! M119 DEPARTMENTAL SYLLABUS, FALL 2012 Text: Applied Calculus, Fourth Edition, by Hughes-Hallett, Gleason, Lock, Flath, et al. Oncourse web site: http://oncourse.iu.edu This outline, provided by the Mathematics Department, presents the learning objectives for the course, a schedule of topics, a list of recommended homework problems, and dates of departmental examinations. Instructors may vary the number and timing of other examinations, problem assignments, and the amount of time dedicated to each individual topic. It is expected that each student will maintain regular contact with the Oncourse website listed above for further information and announcements. LEARNING OBJECTIVES: 1. Students should become proficient in modeling problems from a variety of applied areas using linear, exponential, and logarithmic functions. This includes identifying which problems can be solved using such models, creating variables, deducing relationships, solving the resulting mathematical problems, and drawing qualitative conclusions from the numerical solutions. 2. Students should become proficient in calculating, estimating, expressing, and interpreting average, relative, and instantaneous rates of change of one quantity with respect to another, using the lan- guage of differential calculus. This includes situations when the relationship between the quantities takes the form of a table, a graph, a textual description, or a symbolic formula. 3. Students should become proficient in modeling optimization problems in a variety of applied ar- eas. This includes creating independent and dependent variables, translating constraint information into an interval of values for the independent variable, solving the resulting optimization problem using techniques from differential calculus, and drawing qualitative conclusions from the numerical solutions. 4. Students should become proficient in calculating, estimating, expressing, and interpreting the ac- cumulated change of one variable, given its rate of change with respect to another variable, using the language of integral calculus. This includes situations when the relationship takes the form of a table, a graph, a textual description, or a symbolic formula. DEPARTMENTAL EXAMINATIONS: The midterm and final are departmental examinations. ALL STUDENTS MUST TAKE THESE EXAMS AT THE SAME TIME. The dates and times for these exami- nations were announced in the Schedule of Classes; by registering for this course you committed yourself to take these examinations at the scheduled times: • Midterm Examination: Saturday, October 6, 10:30 a.m.–12:00 noon • Final Examination: Friday, December 14, 8:00 a.m.–10:00 a.m. IMPORTANT NOTE: YOU WILL PROBABLY NOT TAKE THE DEPARTMENTAL EXAMS IN YOUR REGULAR ROOM. Your instructor will inform you of the location of your exam. HOMEWORK: Homework will be assigned, collected, and graded using the web based system ‘WeBWorK’. You gain access to WeBWorK through your Oncourse M119 page. The textbook also contains a large number of problems, which you are strongly encouraged to work as part of your studying for the course. The course outline below contains a list of recommended textbook problems. Answers to odd numbered problems are in the back of the book. CALCULATORS: Each student is expected to have and be able to use a graphing calculator equivalent to a Texas Instruments TI-83 or TI-84, the models that the department recommends and supports. (The TI-82 and TI-86 are, for example, equivalent for the purposes of this class. A student may not use a TI-89 or TI-92 or, more generally, a calculator with a Computer Algebra System (CAS).) Each individual student is required to have a calculator for exams. There are calculator tutorials located under the Oncourse ‘M119 Student Resources’ link. Individual instructors may require additional equipment for their sections of the class. HELP: Assistance will be available to all students in M119 as follows: • Departmental M119 Help Sessions: Monday 6:30–8:30 PM Ballantine 244 Tuesday 6:30–8:30 PM Ballantine 244 Wednesday 6:30–8:30 PM Education 1230 Thursday 6:30–8:30 PM Swain East 105 • Free tutorial help: Sunday through Thursday, 7:00–11:00 p.m., Academic Support Centers in Briscoe, Forest, and Teter: • Help on WeBWorK problems can be accessed via the ‘Email Instructor’ tab associated with each problem. Also be on the lookout for problems with a ‘Show Hints’ checkbox. • Instructional videos, including worked examples, can be found under the Oncourse ‘M119 Tube’ link. Help sessions and tutorial help start the second week of classes. ACADEMIC INTEGRITY: The Mathematics Department expects its students to obey fully the Uni- versity policies on academic integrity. The usual penalty for a student caught cheating in M119 includes a final grade of F. Further penalties may include probation, suspension, or expulsion from the University. Cheating cases are always reported to the Office of Student Ethics.