Homework for Calculus I
October 30 - Returned tests. Discussed logarithmic differentiation. Homework: Section 3.5 – 47, 53, 65, 69,
71, 72, 75,
October 28 – Test on sections 2.3 – 3.4 and limit proofs.
October 26 – Mentioned topics for the test on Wednesday. Discussed implicit differentiation. Homework for
Friday. Section 3.5 – 9, 15, 25, 26, 33, 37, 43, 45, 53.
October 23 – More discussion about Chain Rule. Development of the derivative rule for y = a x and the rule for
any logarithm. Homework: Section 3.4 – 91, 95, 105, 115, 125, 137, 141, 147, 151 and 191 – 194.
October 21 – More chain rule. Derived the rule for finding the derivative of the natural logarithm function. Homework:
Section 3.4 - 23, 25, 27, 29, 41, 51, 57, 71, 85, 87, 89, and 107. (If you get stuck. . . skip it with room to work on it later
and try the next problem. You should have at least tried them all before class on Friday).
October 19 – Returned homework. Worked a couple of the problems that were not simple to simplify. Discussed Chain
Rule. Homework: CATCH UP!!! Section 3.4 – 9, 12, 15, 47, 49. Test is October 28 on sections 2.3 through 3.4.
October 16 – Collected homework. Derived the derivative formulas for cotangent and secant. Discussed higher order
derivatives. Homework: COMPLETE HOMEWORK THAT WAS DUE TODAY FIRST. Retry #115 from Exercise 3.2. Exercise
3.3 – 47, 51, 53, 55, 63, 65, 69, 71, 75, 79, 82, 85, 97, 101, 105, 107, 123, 137-145.
October 14 – Discussed problems involving tangent lines, how to keystroke to find the derivative of a function at a point,
introduced the product rule and the quotient rules. Used the quotient rule to derive the derivative rule for tangent.
Homework: Section 3.2 – 77, 79, 115. Section 3.3 – 5, 7, 10, 15, 18, 21, 25, 29, 41, 45. KNOW the product, quotient
and tangent rule for derivatives.
October 9 – Returned quiz. Discussed derivative rules for sine, cosine and y = 𝑒 𝑥 . Discussed the position function and
its’ derivative, velocity. Homework: Section 3.2. 49, 51, 53, 57, 59, 63, 87 – 92, 99, 100, 101. Test should be October 28
and cover 2.3 through section 3.4. (with selected problems from 2.2 ) Write limit proofs for lim(2 x  5)  11 and
x 3
lim(4 x  3)  1 .
x 1
October 7 – Student worked one homework problems. Quiz on the definition of derivative. Derived several rules for
finding a derivative. Wrote one limit proof. Homework : Section 2.2 – 39 and 40. Section 3.2 – 3 – 15 multiples of 3,
25 – 29 odd, 31, 33, 39, 41 (hint rewrite), 43, 45, 47 and 53.
October 5 – Student worked one homework problem. Discussed “removable” discontinuities and defined derivative.
Homework: Section 2.4 – 37- 55 odd, 73, 75, 77, 81 (description might be in words) and 107 – 110. Define – derivative
of a function. Section 3.1 – 9, 17, 21, 25a and b.
October 2 - Discussion of “infinite limits” – Homework: Section 2.5 – 3, 6, 9, 17, 19, 23, 27, 33, 37, 41, 47, 55.
September 30 – Returned tests and discussed continuity. Homework: Define – continuous at a point. Section 2.4 – 3,
6, 9, 12, 16, 18, 21, 25, 30, 35, 77, 79, 83.
September 28 – Test on Chapter 1 through section 2.2
September 25 – Discussed rationalizing the numerator, the Squeeze theorem and special limits. Homework for
September 30 – Section 2.3 – 45. 49. 53. 57.66. 67. 71. 75, 79, 81, 85, 91.
September 23 – Quiz. Discussed finding delta when epsilon is given. Discussed properties of limits. Homework:
Section 2.2 – 35, 36. Section 2.3 - 19, 23, 31, 22, 39, 41, 43, 45, 47, 49. TEST is Monday, October 28 covering Chapter 1
through Section 2.2
September 21 – Students wrote homework on the board. Discussed the definition of a limit. Worked several examples
using graphs and tables. Homework: DEFINE LIMIT (the epsilon – delta one). Section 2.2 – 7,11, 13, 17 – 23 odd, 25, 29.
Test moved to Monday – October 28 –
September 18 – Returned the quiz from last time. Discussed: solving exponential equations, logarithmic equations and
equations using trig or inverse trig functions. Discussed making a table to find a “limit”. Homework: Section 1.5 – 117,
119, 127, 128; Section 1.6 – 9, 11, 15, 19, 21, 107, 109; Section 2.1 – 4 and 5; and Section 2.2 – 1-6.
September 16 – Returned the “do over” quiz on definition. Quiz on inverse trig functions. Discussed exponential
functions and their inverse (logarithmic) functions. Homework; Memorize the domain and range of the natural
exponential and the natural log function as well as the shape of the graph of each. Section 1.5 – 141 – 146 and Section
1.6 – 25 – 28 and 31- 35, 39, 40, 89 – 107 odd.
September 14 – Discussed the inverse trig functions, domains and ranges. Homework: Students must MEMORIZE: the
value of the familiar angles of all the trig functions as well as the domains and ranges of each and the domains and
ranges of the inverse functions. Homework: Section1.5 – 59,61, 73, 75, 77,87 – 96 all, 111, 113, and 115. Earliest
possible test date is probably September 25.
September 11 – “redo” of definition of function quiz. Discussed what an inverse function is and how to find the rule for
it if the function is algebraic. Began the discussion of the inverse trig functions. Homework: Section 1.5 – 1, 5, 7, 9-12
27, 33, 37, 48 (consider the piecewise version of the function.), 73, 76, 87,and 96.
September 9 – Returned quiz. Collected information about students. Discussed: types of functions; even and odd
functions; and composition of functions. Homework: Be sure you have memorized what you have been assigned
previously. Section 1.3 – 61, 63, 65, 71, and 77. Section 1.4 – 3, 7, 10.
September 4 - quiz on the definition of function. Discussed eight functions (p22). Discussed vertical and horizontal
translations. Homework: Memorize the domain and range of each of the functions on 22. Memorize how to recognize
a vertical or horizontal translation of one of those eight functions. Section1.3 – 7, 8, 12, 18, 22, 51 – 54, 55 – 60.
September 2 – Reviewed the names of sets (Natural, Whole, Integer, Rational, Irrational, and Read numbers) Defined a
real-valued function of a real variable. Discussed finding domains and ranges of functions as well as evaluation of
functions. Homework: Read Section 1.3. DEFINE (be prepared to write the definition of ) a real-valued function of a
real variable. Section 1.3 – 3, 6, 9, 11, 15, 17, 20, 25, 29, 31.
August 31 – Returned homework. Discussed: finding points of intersection with and without the calculator; regression
analysis; and equations of lines (page 14.) Homework: Section 1.1 – 57, 61, 63, 66, 67. Section 1.2 - 17, 20, 21, 23, 27,
38, 43, 57, 63, 67, 79 and 93 - 96.
August 28 – Returned the quiz. Collected the homework. Discussed symmetry and writing the equation of a line.
Homework: READ section 1.1!!! Exercises 1.1 – 27, 31, 35, 45, 49, 53, and 57.
August 26 – Quiz on the syllabus. Discussed the syllabus, intercepts of a function, sketching by point plotting, and
setting a graphing window. Homework: Exploration on page 3 – Students with last names A – L work a, c, and e;
Students with last names M – Z work b, d, and f parts. Section 1.1 page 8 – problems 7, 11, 14, 19, 23, 25