Calc 1A
Assignment One
Before we can really get going on anything in Calculus, there are basics which must be preliminarily understood. Often in a higher level math class, a student may think they don't understand something about that new topic but what's going on, in fact, is that he or she lacks some basic understanding of a preliminary skill or piece of knowledge that new material lies on top of. Much of this material may seem familiar to you but we'll be bringing much of it to a higher level. For example, when we talk about function composition, we aren't looking at it so much from a mechanical algebraic aspect but more from an analysis of domains and ranges point of view. Some problems can actually prove quite challenging.
I will assign homework daily which coincides (hopefully well) with this, but as we are all new to each other, tweeking and other fine tuning may occur. But it is something to go on. As part of each night's homework, you should read over your class notes from the day's lecture, I generally pick my examples to demonstrate a particular point, so if you can answer the question, "what was the point of this example?", you have done your job. (If you can't, consider asking in class and if you feel that that isn't enough, sign up for a LAB.)
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Day Number |
Topic |
Homework |
|
One |
Intro to the course (One Day)-Overview of Course, Expectations, Distribution of Books Calculator |
Read section 1.3 AND Do problems from Calculator Reference Sheet: Sections A,B ; Pg 45# 1,3 ; Pages A3-A5: Read "Review of Sets" through "Unions and Intersections", in particular, be sure you understand the use of 'interval notation' highlighted on top of A5;I will be using it in class next meeting; Hand graph, without calculator : y=2x+3, y=8-4x, y=(x-2)2 -4 , y=x2 -5x - 6, y=16-x2 |
|
Three |
More Domain Finding including the use of sign tests. |
Pg. A10 #27, 29, 37 (do by sign testing) ; Domain finding sheet, Part II; Read with care: pg. 52 (symmetry) through 57. Pg 57 #1, 3, 5, 13, 17, 65, 67 |
|
Four |
Getting New Functions from Old Ones. QUIZ: NEXT CLASS covering first 3 days worth of work |
Pg. A10 #31, 39,45 ; Pg 57 #1,5,7,13 ; Calculator Reference Sheet Section D; Domain finding sheet, Part III |
|
Five |
QUIZ (10-15 minutes?) Compositions |
Pg 57 #35, 37 a)-d), 39, 41, 47, 49, 53, 54, 59 (this is an algebra/substitution exercise) |
|
Six |
Piecewise functions and Absolute value COLLECTIBLE HOMEWORK ASSIGNED AND DUE IN 2 DAYS |
Pg 57 #55, 57, 61, 63; pg 34 #3, 13 ; Calculator Reference Sheet Section C |
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Seven |
Practice Day COLLECTIBLE HW DUE TOMORROW |
Handouts |
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Eight |
COLLECTIBLE HW DUE |