Calculus 1A AssignmentsHomework consists of reading the material in the textbook, reviewing your class notes, and doing ALL the assigned problems.
Homework problems will be assigned in class and will be posted on the CATALYST website, as the quarter progresses. Periodically homework may be posted to this site as well.
Enrolled students should be checking the Catalyst site for the most up to date assignments, listed by week.
Section 2.1
3,4
Section 2.2 Homework Part 1: Limits
1,2,4,5,7
11 using graphing calculator - find an appropriate graphing window near x = 0
17, 19, 21, 23, , 37, 39
Section 2.2 Homework Part 2: Infinity and Asymptotes
3, 8, 9, 25, 27, 29-33, 35
Section 2.3 Homework Part 1: Limit Laws
1,2,5,7,9,10,11-29odd,32, 45, 46, 47, 48
Questions #45, 46 and 48 are easier than #47. Question #47 is challenging. If you can't do #47 don't worry too much about it. Spend your time on other problems if you are not able to do this problem.
If you are doing #47, here are some hints: To understand the function algebraically, rewrite F(x) as a piecewise defined function. Here's how to think about the "pieces": When x>1, then |x-1|=x-1. replace |x-1|by |x-1|. Factor the numerator, and simplify. When x = 1, is the function defined? When x<1, think about how to rewrite |x-1| without the absolute value: when x<1, then x-1<0, so isn't |x-1| =1-x ? Replace |x-1| by 1-x, factor the numerator and simplify. Once you have it written as a piecewise function, you can graph it by hand. But you graph it on your calculator in its original for you need absolute value: press MATH and right arrow to the NUM menu - the menu item is "abs". So to put |x-1| into your calculator, use abs(x-1).
Section 2.3 Homework Part 2: Squeeze Theorem
33, 34, 35, 37
OPTIONAL: Extra practice if needed for Squeeze Theorem:
Additional Squeeze Theorem Practice Problems, and complete worked solutions.
http://nebula.deanza.edu/~bloom/Math1A/1A_Squeeze_Them_Practice_Prob.pdf
Answers to problems on Squeeze Theorem Homework Handout
A1, A2, A3:
http://nebula.deanza.edu/~bloom/Math1A/1A_SqueezeThm_Practice_Ans_A1A2A3.JPG
A4:
http://nebula.deanza.edu/~bloom/Math1A/1A_SqueezeThm_Practice_Ans_A4.JPG
Section 2.5 Homework Part 1 Continuity
1-7 all, 15-19 all, 21-35 odd only, 36, 37-43 odd only
Section 2.5 Homework Part 2 Intermediate Value Theorem
44, 45-53 odd
Section 2.6 Homework Limits at Infinity
There are a lot of problems because you should practice the many variations that this type of problem can have, each with its own situation to consider.
3, 4, 6-8, 11, 15, 17, 19, 20, 21, 23, 24, 28, 29, 31, 32, 33, 35, 36, 39-45 odd, 49, 53, 58
Also do the additional problems for the ARCTAN function at http://nebula.deanza.edu/~bloom/math1a/Section_2-6_Arctan_Limit_Problems.pdf
In the Section 2.6 Homework: For problems assigned between #15-#41 be able to show appropriate algebraic work or algebraic explanation to justify answer. Graphing will NOT be sufficient work on a quiz or exam. (See worked examples in text; some similar examples will be done in class lecture). For the additional ARCTAN problems A3, A4, A5, A6 you should also be able to show algebraic work or an algebraic explanation.
Hint for #49: the first step is to factor it completely; see worked example 11 in the textbook for a similar type of problem.
For #58 try to figure out part (a) but if you can't do part (a), then just assume the equation in part (a) is correct and do part (b).
Section 2.4 Homework: Mathematical Definition of Limit
Problems 1, 3, 4, 5, 13, 14, 15, 17
Do problem 5 using your graphing calculator estimate "delta" 5,
Section 2.6 PART 2 Homework: Mathematical Definition of Limit
61, 63, 65, 66
Do problems 61 and 63 using your graphing calculator to trace the function to find N
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