Homework Assignments for Mat 121 – Fall 2012
August 22 – Reviewed the syllabus. Discussed plotting points to graph an equation. Discussed finding intercepts for the
graph of an equation and determining symmetry for the graph of an equation. Homework: READ Appendix C if you
need a trig review. MEMORIZE the familiar angle values of the trig functions for quadrant I. Exercise 1.1 – 7, 9, 11, 19,
23, 27, 29, 33,and 37.
August 24 – Quiz. Discussed finding a window to best graph a functions and how to find the point(s) of intersection of
two equations (two graphs) with and without the graphing calculator. Homework: Exercise 1.1 – 15, 16, 17, 18, 45, 51,
55, 63, 54, 65, 67, 69, 71, and 73.
August 27 – Class introductions. Discussed using the calculator to find predictor equations, plot data and compare the
plot to the graph. Homework: COMPLETE the previous assignments. Section 1.1 – 75, 77, 83 – 86.
August 29 - Discussed forms of linear equations. Worked several examples in class. Homework: 1 – 6, 9 – 42 multiples
of three, 51, 56 and Section 1.4 – 5, 6, 12, and 13.
August 31 – Collected homework. Discussed:the definition of a real valued function of a real variable, independent
variables, dependent variables, domain of a function, range of a function, vertical line test, and four specific functions
(identity, squaring, cubing, and square root function.) Homework: KNOW 1) the value of familiar angles for all four
quadrants; 2) know the domains and range of the four functions mentioned above; and 3) define (write two complete
sentences to make a definition for ) a real-valued function, f, of a real variable. Section 1.3 – 1, 2, 4, 8, 9, 12, 25, and 28.
Section 1.4 – 15, 17.
September 5 – Quiz on homework. Discussed three classes of functions, names and vocabulary. Homework: Section
1.3 – 11, 13, 15, 19, 23, 30, 41 and 43.
September 7 – Discussed the last four functions on page 22 and translations from page 23. Homework: know the
domain, range and graph of the last four functions on page 22 ( that makes all 8 functions) Section 1.2 - 79,81,83 and
99,100 and section 1.3 - 31-37 odd 49-54, 75, and 99 - 102.
September 10 – Discussed addition, subtraction, multiplication, division and composition of two functions. Discussed
briefly that if (𝑓 ∘ 𝑔)(x) = (𝑔 ∘ 𝑓)(x) for any two functions f and g then the functions are inverse functions. Properties of
inverse functions include: i) if f is the inverse of g then g is the inverse of f; ii) the domain of 𝑓 −1 is equal to the range of
f and the range of f-1 is the domain of f; iii) if a function has an inverse it is unique; and iv) the graph of a function and its’
inverse have symmetry about the line y = x ( if (a,b) is a point on f, then (b,a) is a point on f-1). Homework: Section 1-3
– 59 ,60, 61, 63, 65, 75, 77-80 and 81 – 84. Section 1-5 – 1-7 odd. TEST on Chapt 1 through Section 2.1 is Friday the
14th.
September 12 – Answered some homework questions. Discussed properties of inverse functions, restrictions on
domains that would make some functions become 1-1 (with the restriction), and then restrictions on the domains of the
trig functions so that they would each have an inverse. Homework: Section 1.5 – 9-12, 17 – 21 odd, 23, 25, 29, 35, 41,
61, 65, 79, 83. 85, 95 – 106 all, 117, 118, 123 – 123 – 128 all and 161 – 166 all. Know the DOMAINS AND RANGE OF
THE INVERSE TRIG FUNCTIONS.
September 14 – Roy Harper discussed the exponential and logarithmic functions including classroom examples of 35, 57,
77, and 89. Homework: Section 1.6 – 21,22,25,26,27, 31, 37, 43 – 50, 58, 59, 62, 67, 68 (square window), 71, 75, 76,
79, 87, 90, 93, 95, 97- 101, 105, 107.
September 17 – Quiz. Discussion included: calculating the value of an inverse trig function without a calculator, solving
equations involving inverse trig functions, applications of calculus and beginning limits. Homework: Section 1.5 – 119,
121, 129 – 141 odd and 145; Section 2.1 – 1 – 5; and Section 2.2 – 1 – 10 odd (show the table and the value of the limit
that you determine). KNOW the domain, the range, and the basic graph of : y = ex and y = ln x
September 19 – Returned the quiz and answered questions about homework. Test on Friday through the homework
above.
September 21 – Test on Chapter 1 through last homework.
September 24 – Returned graded tests. Defined limit and greatest integer function. Homework: KNOW the domain,
range, and basic graph of the greatest integer function. Be prepared to state the definition of a limit. Section 2-2 – 11,
13, 15, 19, 21, 23, 25, 27, 29, 33, 35, 41 and 42.
September 26 – Quiz on the definition of a limit. Discussed: properties of limits in Section 2-3; evaluating limits by
finding a function equivalent to the original function except at one point; dividing out technique; and rationalization of a
numerator. Homework – Find the limit and then find 𝜀 when 𝛿 = .001 for 1) lim (4𝑥 − 2) 2) lim (2𝑥 + 7) and 3)
𝑥→3
lim (2𝑥 + 5). Section 2.3 – 5 – 50 multiples of 5 then 51 – 60 multiples of 3.
𝑥 →2
𝑥→−1
September 28 – Quiz on homework. Discussed three special limits (students are required to memorize them) then
worked problems utilizing them. Homework: Know the three special limits. Section 2.5 – 67 – 79 odd, 82, 83, 87, 91,
92, 123 – 128. [Those absent should get notes from those in class to have the examples to reference for homework.]
October 1 – Returned quizzes from 26th. Discussed a couple of homework problems. Defined continuity of a function at
a point, wrote one 𝜀 − 𝛿 proof and answered questions about continuity of several functions. Homework: Section 2.2
– 77, Section 2.3 – 45, 46, and 48, and Section 2.4 – 3, 5-60 multiples of 5. Next test could be as early as 12th.
October 3 – Returned quiz from 28th. Answered homework questions, gave a quiz, and discussed infinite limits.
Homework: Section 2.4 – 78 – 87 multiples of 3, Section 2.5 -3 – 60 multiples of 3 76 and 77. Second test will be 17th or
24th and will cover through section 2.2 – 3.2 or 3.3.
October 5, - Returned quiz from last time. Answered homework questions. Discussed the squeeze theorem and the
intermediate value theorem. Homework: Section 2.4 – 93 – 105 odd, 111 – 114, 117, Section 2.5 – 81 – 84.
October 10 – Dr. Travis taught class. Defined derivative. Worked numerous problems and assigned some from each
part.
October 12 – Quiz on the definition of derivative. Formulas were developed for finding the derivative of a constant
function, a power function, sum & difference of functions, constant multiple rule, sine, cosine, and the natural
exponential function. Homework: KNOW THE DEFINITION OF DERIVATIVE and use it to calculate a derivative. KNOW
THE NEW RULES for taking the derivative of a function. Section 3.1 – 19, 35, 101-104, Section 3.2 – 5 – 55 multiples of 5
(at least).
October 15 – Returned quizzes. Worked two homework problems. Discussed position function & velocity, average rate
of change, product rule and quotient rule. Homework: Section 3.2 – 57, 59, 63, 65, 67, 83,91-96, 101, 103 and Section
3.3 – 3, 6, 7, 9, 19, 23, 25, 29, 39, 45, 53. MEMORIZE the product and quotient rule.
October 17 – Quiz. Worked two homework problems. Discussed higher order derivatives, acceleration, rate of change
applications and derived derivative formulas for tangent, cotangent, secant and cosecant. Homework: KNOW the four
new derivative formulas . Section 3.3 – 61, 63, 67, 69, 71, 73, 75, 81, 85, 90, 95, 99, 105 and 131 – 136.
October 19 – Returned quizzes. Two students worked homework problems. Discussed “checking” the solution to a
differential equation. Discussed using the Chain Rule to find the derivative of a composite function. Homework:
Section 3.3- 128 and 129. Section 3.4 – 3 – 36, multiples of 3, 49, 51, 57, 73, 81, 85, 107, 115, 125, 127.TEST on October
24 on Sections 2.2 through 3.3.
October 22 – Answered questions about homework and discussed compound Chain Rule. No homework.
October 24 – TEST Homework: Section 3.4 – 61, 65, 69, 77, 89, 93, 97, 111, 119, 123, 133, 135, 137, 154, 159, 163.
October 26 – Answered questions about chain rule and discussed implicit differentiation. Homework: Section 3.5 – 7,
11, 13, 17, 21, 31, 36, 37, and 50.
October 29 – Answered homework questions and explained logarithmic differentiation. Homework: Section 3.4 – 172,
173, 177, 183, 185, and 191-194; Section 3.5 – 65, 71, 77, and 81.
October 31 – Answered questions. Discussed derivatives of inverse trig functions and worked problems using them.
Homework: Section 3.6 13, 23, 27, 31, 39, 45, 47, 59 and 69. KNOW THE DERIVATIVE RULES!
November 2 – Worked a homework problem. Quiz. Discussed rate of change problems and finding the derivative of an
inverse function at a particular value without knowing the rule for the inverse function. Homework: Section 3.6 – 69,
70, 71. Section 3.7 – 3, 6, 7, 16 and 17.