Week One Calculus Notes
Week One Calculus Notes 191g
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This 3 page Class Notes was uploaded by Brenna Graham on Thursday August 4, 2016. The Class Notes belongs to 191g at New Mexico State University taught by Dr. Andres Contreras in Fall 2016. Since its upload, it has received 110 views. For similar materials see Calculus I in Math at New Mexico State University.
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Date Created: 08/04/16
August 18 2016 Lecture 1, syllabus, and 2.1 notes Basic question: what happens to f(x) and x approaches a? f(a) Example: As x approaches 3 f(x) (y) approaches what? Limit in this case is 2 because as you go along both sides of the line the closer to x=3 the line gets the closer to 2=y the line gets. Thus the limit is 2. A limit is how a function f behaves as it approaches a certain point. Limits Example 2: As one approaches x = 3 from the right the limit =2 but from the left the limit = 1. Thus limits exist just different from different sides. When do limits not exist? Example 3: If the limit is at an unknowable number such as at an asymptote then there is no limit. Example 4: If the Limit is during a spot where the function oscillates too quickly to be determined there is no limit. Why do we care? To define instances of rate of change. If change is constant derivative=0 Tip: Memorize all trig identities since we won’t have use of calculators on tests. What to do if Limit is undefined? Example 5: As the limit approaches 0 sinx/x=? It equals 0/0 so undefined. One can see from either side that the equation approaches 1 at 0. One way to notice this nongraphically is to plug closer and closer numbers from either side of 0 to determined where it approaches. In class example: Average velocity= d/t Formula if velocity is constant: change in position = velocity x change in time. Example 6: Distance= S (T2) S(T1) Time T2 T1 Instant rate of change at T1=? For S(T)=? I didn’t catch the end to his answer but basically calculate the derivative and that is the rate of change. SYLLABUS NOTES Tuesdays and Thursdays 5:15 pm to 6:30 pm in Science Hall 110.Lab: Tuesdays and Thursdays 6:30 6:55 pm in SH 110.\ CONTACT INFO: Instructor: Dr. Andres Contrera email@example.com Oﬃce Hours: Science Hall 225 Fridays 3:00 6:00 pm Teaching Assistant: Cong Wang (firstname.lastname@example.org) WH 101 is the math help center HOMEWORK Go to http://www.webassign.net. Select: I have a class key. The class key for this section is nmsu 5336 8664. Quizzes : 79 throughout the year Exams: Thursday, September 29 and Thursday, Nov 10 at 7:00 8:30pm Final: Tuesday, December 6 at 3:305:30 p.m Typical grade cut offs Grades: Readiness Exam: 3% Homework: 12% Quizzes 20:% Exam 1: 20% Exam 2: 20% Final Exam: 25% More detailed info on syllabus at https://nmsu.instructure.com/courses/1018142/files/folder/unfiled?preview=84860572