Homework – Calculus I – Fall 2013
August 28 – Discussed graphing an equation in a good viewing window with a graphing calculator. Discussed basic
linear, quadratic and cubic equations in relationship to their graphs. Discussed the equation of a circle with center at the
origin. Defined intercept and demonstrated how to find and write the intercepts of the graph of an equation. Worked
Exercise 1.1 - 1-4 and #26 in class. Homework: READ THE SYLLABUS and begin reading chapter 1 through page 6 at
least. On page 3, find a good viewing window for the 6 cubic equations listed in the Exploration box in the margin. List
the dimensions for the window as illustrated in class. Section 1-1 problems 1, 7, 10, 12, 14, 21, 24, and 27.
August 30 – Collected homework. Discussed symmetry. Worked several examples. Homework: 30 – 54, multiples of 3.
September 4 – Quiz on homework. Returned graded homework. Discussed finding points of intersection of the graphs
of two linear equations using paper/pencil techniques and using a graphing calculator. Demonstrated how to find the
regression equation for data using a graphing calculator. Homework: KNOW FAMILIAR ANGLES FOR sine, cosine and
tangent ratios for quadrant 1. Section 1-1 - 15, 17, 57 – 75 multiples of 3, 83 – 86.
September 6 - Returned quiz graded. Discussed writing equations of lines and “forms” of equations of lines. Homework:
Section 1.2 – 1-6, 12 – 39 multiples of 3 and 51, 54, 57, 60, 66, 73.
September 9 – Quiz on writing the equation of lines. Discussed a real-value function of a real variable, and 5 specific
functions with their domain. Homework: Define “real-valued function of a real variable”; KNOW the domain and range
for identity function, squaring function, cubing function, square root function and absolute value function. Problems:
Section 1.2 – 81, 83, and 84. Section 1.3 – 1,2,3,7, 11, 13, 15, 19, and 27.
September 11 - Discussed: the domain and range of sine, cosine, tangent and basic rational functions; horizontal and
vertical translations; form for a polynomial and the form for a general rational function. Homework: Know the domain
and range of all 8 functions on page 22. IF YOU NEED A TRIG REVIEW READ APPENDIX C. Section 1.3 - 13, 14, 16, 18,
20, 24, 25, 28, 33, 41 – 44 and 77 – 80.
September 13 - Returned quiz. Discussed kinds of functions, operations on functions, composition of functions, and the
new Web Assign homework due on Monday (sheets are outside my door for information). Homework: Section 1.3 – 49
– 54, 56, 61, 63, 69, 71, and 75.
September 16 – Discussed regression again. Discuss finding the inverse rule for a function that is 1-1 or passes the
horizontal line test. Discussed the difference in an implicit and explicit function. Homework: Section 1.4 – 6, 12,15;
Section 1-5 – 2, 5, 9-12, 13-16, 17, 19, 29, 33, 39, 53 (hint. . . sketch it), 61. BE SURE YOU KNOW THE DOMAIN AND
RANGE OF THE TRIG FUNCTIONS.
September 18 – Discussed the inverse trig functions and restrictions (domain and range) placed on the trig functions so
that there are inverse trig functions. No class on Friday!!! Homework: Check to see if there is a WebAssign homework
open. Memorize the range of the inverse trig functions. Section 1.5 – 95 – 105, 117, 161 – 166.
September 23 – Discussed exponential and logarithmic functions as well as the properties of logarithms. Homework:
Read the section and begin reading chapter 2. Know the domain, range, and shape of the graph of exponential and
logarithmic functions as well as the properties. Section 1.6 – 9, 12, 15, 21, 25 – 27 or 31 – 34, 35, 37, 63 – 66, 87 – 102
multiples of 3.
September 25 – Collected homework. Worked one homework problem then discussed solving equations that involve
the natural exponential function and the natural logarithmic function. Began the discussion in Chapter of what kind of
problems require calculus and which ones may be solved without calculus. Homework: Section 1.6 – 20, 47 – 50, 71,
75, 77, 79, 89, 91, 95, 97, 104, 105. Section 2.1 – 3, 4, 5, 6 and 8.
September 27 – One homework problem was discussed. Introduction to limits was discussed informally. Homework:
Complete the assigned work for last time and Section 2.2 – 1-10 (show the table and write the limit statement) and 17 –
27 odd (you may just write the limit statement and the value that you determine.)
September 30 – Returned homework. Collected homework. Defined “limit” (the epsilon –delta definition). Then used
the definition to find delta given a value of delta for specific values. Defined the “greatest integer” function.
Homework: Section 2.2 - 11, 15, 29, 31, 33, 35, 41, and 42. KNOW the domain and range of the greatest integer
function. Define: the epsilon-delta definition of a limit. Test on Friday ends with this assignment.
October 2 – Returned homework. Quiz on definition. Worked two homework problems and answered questions about
what might be on the test on Friday.
October 9 – Tests are graded – will be returned Friday. Discussed a limit “Proof” and properties of limits. Homework:
Section 2.2 - # 45. Section 2.3 – 5-7 odd ( copy the problem, apply the properties (perhaps in your mind), then write the
answer) 5 – 31 odd, 35, 37, 38, 41, 43. BONUS POINTS MAY BE EARNED BY ATTENDING THE MATH CLUB ON
THURSDAY.
October 11 – Returned tests and commented. Quiz on properties of limits. Discussed squeeze theorem and special
limits. Found the limits of some trig functions. Homework: MEMORIZE the three special limits in the box on page85.
Section 2.2 – 46, Section 2.3 – 67 – 79 odd (no work no credit). WebAssign is up and due on Tuesday.
October 14 – Worked a couple of homework problems. Discussed rationalizing the numerator of a fraction to find a
limit. Defined what is meant by a “continuity” of a function at a value. Homework: Section 2.3 – 51, 55, 57, 61, 63, 64,
91-94 all 123 – 128. KNOW THE DEFINITION OF “ a function continuous at a value, c”.
October 16 – Returned quiz from October 2 (just found it! ). Answer homework questions. Discussed discontinuity,
infinite limits and gave a quiz on the definition of continuity. Homework: Section 2.4 - 7 – 33 every other odd one ( 9,
11, 15, etc.) and 35. Section 2.5 – Build a table for 1, 3, and 43 to answer the question. Look at the graphs to answer 5
and 7.
October 18 – Returned quiz. Discussed the intermediate Value Theorem and vertical asymptotes. Defined derivative.
Homework: Section 2.4 – 93, 94, 97, 99, 103 and 106. Section 2.5 - 37, 39, 45, 49, 53, 55, 57 Define derivative.
October 21 – Answered one homework question. Quiz on definition of derivative. Demonstrated finding the equation
of a line tangent to a curve using the definition to find the slope. Homework: Section 3.1 – 1, 2, 7, 10, 17, 19, 21, 25, 35,
39 – 42 and 101 – 104. Second test should be October 30 or November 1.
October 23 –Quizzes were returned. Students worked several homework questions. Derived several rules for
derivatives. Homework: Know the basic derivative rules. Homework: KNOW THE RULES DERIVED TODAY. Section 3.2
– 5 – 5 – 25 multiples of 5; 27 – 39 multiples of 3; 41, 49, 53, 57, 62.
October 25 – Collected homework after questions were answered. Discussion included instantaneous rate of change of
position (velocity) with respect to time, product rule and quotient rule. Homework: Section 3.2 – 41, 50, 65, 91 – 96
and 101 – 104. Section 3.3 – 2, 6, 7, 9, 14, 15, 16, 39, and 41. KNOW PRODUCT and Quotient Rules. Test on sections 2.3
through 3.4 is November 1.
October 28 – Answered a couple of homework questions. Used the quotient rule to derive rules for the derivatives of
tan x, cot x , sec x, and csc x. Homework: Complete last homework. Section 3.2 – 43, 45, 46, 53 and Section 3.3 – 45 –
54 multiples of 3, 61, 63, 67, 69, 71, 73, 75, 81, 85, 87, 93 and 131 – 136. (Nice review of the semester here.)
October 30 – Answered homework questions. Began a discussion of higher derivatives and chain rule. Test on Friday.
November 1 – 2nd test - on information from page 77 through page 145 and associated homework.
November 4 – Returned tests. Discussed using Chain Rule. Worked several examples to warn students about algebra
errors, then students worked several examples. Homework: Section 3.4 – 9, 13, 17, 21, 25, 29, 51, 57, 59.
November 6 – Students and Dr. Floyd worked examples using Chain Rule and other basic rules. Homework: Section 3.4
– 61, 65, 69, 73, 81, 85, 107, 111, 115, 119, 123, 125, 127, 163, 173. Memorize basic rules on page 160 (we will derive
that last three on Friday).
November 8 – two homework questions answered. Quiz was given on homework. Discussion included derivative rules
for absolute value, natural logarithm, any base logarithm, and exponential functions (not just the natural exponential
function.). Homework: A WebAssign opened today and will close by class time on Monday. Section 3.4 – 87, 89, 90,
91, 93, 95, 101, 120, 131, 135, 137, 141, 143, 159, 176, 177, 183, 186 and 191-194.
November 11 – Discussed implicit differentiation. Homework: Section 3.5 - 7, 11, 13, 18, 22, 31, 36, 37, 50, 59, 65.
November 13 – Returned quizzes from last Friday. Several homework problems were worked. Discussed logarithmic
differentiation, derived the inverse trig function derivatives, and worked some examples of each. Homework: Section
3.5 – 71, 77, 81; Section 3.6 – 23, 27, 31, 39, 45, 47, 59.
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