- Canvas page (where you must log in).
- Help with DjVu (if you have trouble reading the DjVu files on this page).
- Official syllabus (DjVu).
- Course policies (DjVu).
- Class hours: Mondays, Wednesday, and Fridays from 9:00 to 9:50 in LNK U105.
- Final exam: December 14 Wednesday from 12:00 to 1:40 PM in ESQ 100C (or by appointment).

- Canvas page (where you must log in).
- Help with DjVu (if you have trouble reading the DjVu files on this page).
- Official syllabus (DjVu).
- Course policies (DjVu).
- Class hours: Tuesdays and Thursdays from 3:00 PM to 4:20 in LNK U107.
- Final exam: December 14 Wednesday from 12:00 to 1:40 PM in ESQ 100C (or by appointment).

- Name: Toby Bartels, PhD.
- Canvas messages.
- Email: TBartels@Southeast.edu.
- Voice mail: 1-402-323-3452.
- Text messages: 1-402-805-3021.
- Office hours:
- on Mondays, Wednesdays, and Fridays from 10:00 to 11:00 (and by appointment) in LNK U9C,
- on Tuesdays and Thursdays from 1:00 PM to 2:00 (and by appointment) in ESQ 112, and
- over Zoom meeting 610-024-2876 (by appointment).

- General review:
- Reading:
- My online introduction;
- Skim Chapter R (
*except*Section R.6) and Chapter 1 (*except*Section 1.6), and review anything that you are shaky on.

- Exercises due on January 13 Wednesday
(submit these here on Canvas or in class):
- Which of the following are
*equations*?- 2
*x*+*y*; - 2
*x*+*y*= 0; *z*= 2*x*+*y*.

- 2
- You probably don't know how to
*solve*the equation*x*^{5}+ 2*x*= 1, but show what numerical calculation you make to*check*whether*x*= 1 is a solution. - Write the set {
*x*|*x*< 3} in interval notation and draw a graph of the set. - Suppose that
*a**x*^{2}+*b**x*+*c*= 0 but*a*≠ 0; write down a formula for*x*.

- Which of the following are
- Exercises from the textbook due on January 20 Wednesday (submit these through MyLab in the Next item): O.1.1, O.1.2, O.1.3, O.1.4, O.1.5, O.1.6, O.1.7, O.1.8, O.1.10, O.1.12, 1.1.27, 1.1.39, 1.2.23, 1.2.49, 1.3.63, 1.5.71, 1.5.75, 1.7.33, 1.7.47.

- Reading:
- Graphing points:
- Reading: Section 2.1 (pages 150–154) from the textbook.
- Exercises due on January 20 Wednesday
(submit these here on Canvas or in class):
- Fill in the blanks with vocabulary words: The two number lines that mark the coordinates in a rectangular coordinate system are the coordinate _____, and the point where they intersect is the _____.
- Fill in the blank with a number: If the legs of a right triangle have lengths 3 and 4, then the length of its hypotenuse is ___.
- Fill in the blanks with algebraic expressions:
The distance between the points
(
*x*_{1},*y*_{1}) and (*x*_{2},*y*_{2}) is _____, and the midpoint between them is (___, ___).

- Exercises from the textbook due on January 25 Monday (submit these through MyLab in the Next item): 2.1.4, 2.1.15, 2.1.17, 2.1.19, 2.1.21, 2.1.23, 2.1.27, 2.1.33, 2.1.39, 2.1.43, 2.1.47, 2.1.63, 2.1.71.

- Graphing equations:
- Reading:
- Section 2.2 (pages 157–164) from the textbook;
- My online notes on symmetry and intercepts.

- Exercises due on January 25 Monday
(submit these here on Canvas or in class):
Fill in the blanks with vocabulary words:
- Given a graph in a coordinate plane, a point on the graph that lies on at least one coordinate axis is a(n) _____ of that graph.
- If for each point (
*x*,*y*) on a graph, the point (−*x*, −*y*) is also on the graph, then the graph is symmetric with respect to the _____.

- Exercises from the textbook due on January 27 Wednesday (submit these through MyLab in the Next item): 2.2.1, 2.2.2, 2.2.7, 2.2.13, 2.2.17, 2.2.23, 2.2.29, 2.2.31, 2.2.33, 2.2.35, 2.2.41, 2.2.43, 2.2.45, 2.2.47, 2.2.53, 2.2.55, 2.2.61, 2.2.67, 2.2.71, 2.2.77.

- Reading:
- Lines:
- Reading:
- Section 2.3 (pages 169–179);
- My online notes on lines.

- Exercises due on January 27 Wednesday
(submit these here on Canvas or in class):
Fill in the blanks with words or numbers:
- The slope of a vertical line is _____, and the slope of a horizontal line is _____.
- Suppose that a line
*L*has slope 2. The slope of any line parallel to*L*is ___, and the slope of any line perpendicular to*L*is ___.

- Exercises from the textbook due on February 1 Monday (submit these through MyLab in the Next item): 2.3.2, 2.3.7, 2.3.8, 2.3.13, 2.3.15, 2.3.17, 2.3.19, 2.3.21, 2.3.23, 2.3.25, 2.3.27, 2.3.29, 2.3.31, 2.3.45, 2.3.51, 2.3.53, 2.3.57, 2.3.63, 2.3.67, 2.3.73, 2.3.75, 2.3.79, 2.3.85, 2.3.91, 2.3.93, 2.3.111, 2.3.113.

- Reading:
- Systems of equations:
- Reading:
- Section 12.1 (pages 868–878);
- My online notes and video on systems of equations.

- Exercises due on February 1 Monday
(submit these here on Canvas or in class):
Consider the system of equations
consisting of
*x*+ 3*y*= 4 (equation 1) and 2*x*+ 3*y*= 5 (equation 2).- If I solve equation (1) for
*x*to get*x*= 4 − 3*y*and apply this to equation (2) to get 2(4 − 3*y*) + 3*y*= 5 (and continue from there), then what method am I using to solve this system? - If instead I multiply equation (1) by −2
to get −2
*x*− 6*y*= −8 and combine this with equation (2) to get −3*y*= −3 (and continue from there), then what method am I using to solve this system?

- If I solve equation (1) for
- Exercises from the textbook due on February 3 Wednesday (submit these through MyLab in the Next item): 12.1.3, 12.1.4, 12.1.6, 12.1.11, 12.1.13, 12.1.15, 12.1.17, 12.1.19, 12.1.21, 12.1.27, 12.1.31, 12.1.45, 12.1.47, 12.1.65, 12.1.73.

- Reading:
- Functions:
- Reading:
- Section 3.1 (pages 203–215);
- My online notes on functions.

- Exercises due on February 3 Wednesday
(submit these here on Canvas or in class):
- Fill in the blanks with vocabulary words:
If
*f*(3) = 5, then 3 belongs to the _____ of the function, and 5 belongs to its _____. - Fill in the blank with a mathematical expression:
If
*g*(*x*) = 2*x*+ 3 for all*x*, then*g*(___) = 2(5) + 3 = 13.

- Fill in the blanks with vocabulary words:
If
- Exercises from the textbook due on February 8 Monday (submit these through MyLab in the Next item): 3.1.1, 3.1.2, 3.1.3, 3.1.10, 3.1.31, 3.1.33, 3.1.35, 3.1.43, 3.1.49, 3.1.51, 3.1.53, 3.1.55, 3.1.59, 3.1.63, 3.1.71, 3.1.79, 3.1.81, 3.1.103.

- Reading:
- Graphs of functions:
- Reading: Most of Section 3.2 (pages 219–223), but you may skip parts D and E of Example 4.
- Exercises due on February 8 Monday
(submit these here on Canvas or in class):
- Fill in the blanks with mathematical expressions:
If (3, 5) is a point on the graph of a function
*f*, then*f*(___) = ___. - Fill in the blank with a geometric word: The graph of a relation is the graph of a function if and only if every _____ line goes through the graph at most once.
- True or false:
The graph of a function can have any number of
*x*-intercepts. - True or false:
The graph of a function
can have any number of
*y*-intercepts.

- Fill in the blanks with mathematical expressions:
If (3, 5) is a point on the graph of a function
- Exercises from the textbook due on February 10 Wednesday (submit these through MyLab in the Next item): 3.2.7, 3.2.9, 3.2.11, 3.2.13, 3.2.15, 3.2.17, 3.2.19, 3.2.21, 3.2.27, 3.2.29, 3.2.31, 3.2.33, 3.2.39, 3.2.45, 3.2.47.

- Properties of functions:
- Reading:
- Section 3.3 (pages 229–237);
- My online notes on properties of functions.

- Exercises due on February 10 Wednesday
(submit these here on Canvas or in class):
Fill in the blanks with vocabulary words:
- Suppose that
*f*is a function and, whenever*f*(*x*) exists, then*f*(−*x*) also exists and equals*f*(*x*). Then*f*is _____. - If
*c*is a number and*f*is a function, and if*f*(*c*) = 0, then*c*is a(n) _____ of*f*. - Suppose that a function
*f*is defined on (at least) a nontrivial interval*I*and that, whenever*a*∈*I*and*b*∈*I*, if*a*<*b*, then*f*(*a*) <*f*(*b*). Then*f*is (strictly) _____ on*I*.

- Suppose that
- Exercises from the textbook due on February 17 Wednesday (submit these through MyLab in the Next item): 3.3.2, 3.3.3, 3.3.5, 3.3.13, 3.3.15, 3.3.17, 3.3.19, 3.3.21, 3.3.23, 3.3.26, 3.3.27, 3.3.29, 3.3.31, 3.3.37, 3.3.39, 3.3.41, 3.3.43, 3.3.45, 3.3.49, 3.3.51.

- Reading:
- Word problems with functions:
- Reading:
- Most of Section 3.6 (pages 267–269), but you may skip the parts involving graphing calculators;
- My online notes and video on functions in word problems;
- Section 4.1 (pages 281–287).

- Exercises due on February 17 Wednesday
(submit these here on Canvas or in class):
- Suppose that you have a problem with three quantities,
*A*,*B*, and*C*; and suppose that you have two equations, equation (1) involving*A*and*B*, and equation (2) involving*B*and*C*. If you wish to find*A*as a function of*C*, then which equation should you solve first, and which variable should you solve it for? (Although there is a single best answer in my opinion, there is more than one answer that will progress the solution, and I'll accept either of them.) - Suppose that
*y*is linear function of*x*. If the rate of change of the function is*m*and the initial value of the function is*b*, then write an equation relating*x*and*y*.

- Suppose that you have a problem with three quantities,
- Exercises from the textbook due on February 22 Monday (submit these through MyLab in the Next item): 3.6.5, 3.6.13, 3.6.15, 3.6.21, 3.6.23, 4.1.2, 4.1.13, 4.1.15, 4.1.17, 4.1.19, 4.1.21, 4.1.23, 4.1.25, 4.1.27, 4.1.37, 4.1.43, 4.1.45, 4.1.47, 4.1.49.

- Reading:
- Examples of functions:
- Reading:
- Section 3.4 Objective 1 (pages 242–246);
- My online notes and video on partially-defined functions;
- The rest of Section 3.4 (pages 247–249).

- Exercises due on February 22 Monday
(submit these here on Canvas or in class):
Fill in the blanks with vocabulary words:
- In the _____ function, the output is always defined and equal to the input.
- A _____-defined function is defined by a formula together with a condition restricting its inputs.
- A _____-defined function is defined by more than one formula, each with a condition restricting its inputs.

- Exercises from the textbook due on February 24 Wednesday (submit these through MyLab in the Next item): 3.4.9, 3.4.10, 3.4.11–18, 3.4.19, 3.4.20, 3.4.21, 3.4.22, 3.4.23, 3.4.24, 3.4.25, 3.4.26, 3.4.27, 3.4.29, 3.4.31, 3.4.33, 3.4.35, 3.4.43, 3.4.45, 3.4.51.

- Reading:
- Composite functions:
- Reading:
- Most of Section 6.1 (pages 415–419);
- My online notes on composite functions.

- Exercises due on February 24 Wednesday
(submit these here on Canvas or in class):
- Fill in the blanks
with a vocabulary word and a mathematical expression:
If
*f*and*g*are functions, then their _____ function, denoted*f*∘*g*, is defined by (*f*∘*g*)(*x*) = _____. - Fill in the blanks with mathematical expressions:
A number
*x*is in the domain of*f*∘*g*if and only if ___ belongs to the domain of*g*and ___ belongs to the domain of*f*.

- Fill in the blanks
with a vocabulary word and a mathematical expression:
If
- Exercises from the textbook due on March 1 Monday (submit these through MyLab in the Next item): 6.1.2, 6.1.9, 6.1.11, 6.1.15, 6.1.19, 6.1.25, 6.1.27, 6.1.29, 6.1.33, 6.1.55.

- Reading:
- Inverse functions:
- Reading:
- Most of Section 6.1: from page 403 to the top of page 407;
- Section 6.2 (pages 423–430);
- My online notes on inverse functions.

- Exercises due on March 1 Monday
(submit these here on Canvas or in class):
- Fill in the blank with a geometric word: A function is one-to-one if and only if every _____ line goes through its graph at most once.
- Fill in the blank with a vocabulary word:
If
*f*is a one-to-one function, then its _____ function, denoted*f*^{−1}, exists. - Fill in the blank with an ordered pair:
If
*f*is one-to-one and (2, −3) is on the graph of*f*, then ___ is on the graph of*f*^{−1}.

- Exercises from the textbook due on March 3 Wednesday (submit these through MyLab in the Next item): 6.2.4, 6.2.5, 6.2.7, 6.2.8, 6.2.9, 6.2.12, 6.2.21, 6.2.23, 6.2.25, 6.2.27, 6.2.29, 6.2.31, 6.2.35, 6.2.37, 6.2.41, 6.2.43, 6.2.45, 6.2.55, 6.2.57, 6.2.59, 6.2.61, 6.2.75, 6.2.77, 6.2.79, 6.2.87.

- Reading:
- Coordinate transformations:
- Reading:
- Section 3.5 (pages 254–263);
- My online notes on linear coordinate transformations.

- Exercises due on March 3 Wednesday
(submit these here on Canvas or in class):
Assume that the axes are oriented in the usual way
(positive
*x*-axis to the right, positive*y*-axis upwards).- Fill in the blank with a direction:
To change the graph of
*y*=*f*(*x*) into the graph of*y*=*f*(*x*− 1), shift the graph to the ___ by 1 unit. - To change the graph of
*y*=*f*(*x*) into the graph of*y*= −*f*(*x*), do you reflect the graph*left and right*or*up and down*? - To change the graph of
*y*=*f*(*x*) into the graph of*y*=*f*(2*x*), do you*compress*or*stretch*the graph left and right?

- Fill in the blank with a direction:
To change the graph of
- Exercises from the textbook due on March 8 Monday (submit these through MyLab in the Next item): 3.5.5, 3.5.6, 3.5.7–10, 3.5.11–14, 3.5.15–18, 3.5.19, 3.5.21, 3.5.23, 3.5.25, 3.5.29, 3.5.30, 3.5.33, 3.5.35, 3.5.37, 3.5.41, 3.5.43, 3.5.45, 3.5.47, 3.5.53, 3.5.61, 3.5.63, 3.5.73, 3.5.89.

- Reading:
- Quadratic functions:
- Reading:
- Section 4.3 (pages 299–308);
- My online notes on quadratic functions.

- Exercises due on March 8 Monday
(submit these here on Canvas or in class):
- Fill in the blank with a vocabulary word: The shape of the graph of a nonlinear quadratic function is a(n) _____.
- Fill in the blanks with algebraic expressions:
Given
*a*≠ 0 and*f*(*x*) =*a**x*^{2}+*b**x*+*c*for all*x*, the vertex of the graph of*f*is (___, ___). - Given
*a*≠ 0,*b*^{2}− 4*a**c*> 0, and*f*(*x*) =*a**x*^{2}+*b**x*+*c*for all*x*, how many*x*-intercepts does the graph of*y*=*f*(*x*) have?

- Exercises from the textbook due on March 10 Wednesday (submit these through MyLab in the Next item): 4.3.1, 4.3.2, 4.3.3, 4.3.4, 4.3.15–22, 4.3.31, 4.3.33, 4.3.43, 4.3.49, 4.3.53, 4.3.57, 4.3.61, 4.3.63, 4.3.67, 4.3.70.

- Reading:
- Applications of quadratic functions:
- Reading:
- Section 4.4 through Objective 1 (pages 312–316);
- My online notes on economic applications.

- Exercises due on March 10 Wednesday
(submit these here on Canvas or in class):
- If you make and sell
*x*items per year at a price of*p*dollars per item, then what is your revenue (in dollars per year)? - If a business's revenue is
*R*dollars per year and its costs are*C*dollars per year, then what is its profit (in dollars per year)? - If the width of a rectangle is
*w*metres and its length is*l*metres, then what is its area (in square metres)?

- If you make and sell
- Exercises from the textbook due on March 24 Wednesday (submit these through MyLab in the Next item): 4.3.87, 4.3.89, 4.3.93, 4.3.95, 4.4.3, 4.4.5, 4.4.7, 4.4.9, 4.4.11, 4.4.13, 4.4.15.

- Reading:

- Exponential functions:
- Reading:
- Section 6.3 (pages 435–446);
- My online notes on exponential functions.

- Exercises due on March 24 Wednesday
(submit these here on Canvas or in class):
Let
*f*(*x*) be*C**b*^{x}for all*x*.- What is
*f*(*x*+ 1)/*f*(*x*)? - What are
*f*(−1),*f*(0), and*f*(1)? (Write your answers using*b*and*C*, and simplify them as much as possible.)

- What is
- Exercises from the textbook due on March 29 Monday (submit these through MyLab in the Next item): 6.3.1, 6.3.15, 6.3.16, 6.3.21, 6.3.23, 6.3.25, 6.3.27, 6.3.29, 6.3.31, 6.3.33, 6.3.35, 6.3.37–44, 6.3.45, 6.3.47, 6.3.51, 6.3.53, 6.3.57, 6.3.59, 6.3.61, 6.3.65, 6.3.67, 6.3.71, 6.3.73, 6.3.76, 6.3.77, 6.3.79, 6.3.83, 6.3.85, 6.3.91, 6.3.93.

- Reading:
- Logarithmic functions:
- Reading:
- Section 6.4 (pages 452–460);
- My online notes on logarithmic functions.

- Exercises due on March 29 Monday
(submit these here on Canvas or in class):
Suppose that
*b*> 0 and*b*≠ 1.- Rewrite log
_{b}(*M*) =*r*as an equation involving exponentiation. - What are log
_{b}(*b*), log_{b}(1), and log_{b}(1/*b*)?

- Rewrite log
- Exercises from the textbook due on March 31 Wednesday (submit these through MyLab in the Next item): 6.4.11, 6.4.13, 6.4.15, 6.4.17, 6.4.19, 6.4.21, 6.4.23, 6.4.25, 6.4.27, 6.4.29, 6.4.31, 6.4.33, 6.4.35, 6.4.37, 6.4.39, 6.4.43, 6.4.51, 6.4.53, 6.4.55, 6.4.57, 6.4.65–72, 6.4.73, 6.4.79, 6.4.83, 6.4.85, 6.4.89, 6.4.91, 6.4.93, 6.4.95, 6.4.97, 6.4.99, 6.4.101, 6.4.103, 6.4.105, 6.4.107, 6.4.109, 6.4.111, 6.4.119, 6.4.129, 6.4.131.

- Reading:
- Properties of logarithms:
- Reading:
- Section 6.5 (pages 465–471);
- My online notes on laws of logarithms;
- Section 6.6 (pages 474–478).

- Exercises due on March 31 Wednesday
(submit these here on Canvas or in class):
- Fill in the blanks
to break down these expressions using properties of logarithms.
(Assume that
*b*,*u*, and*v*are all positive and that*b*≠ 1.)- log
_{b}(*u**v*) = ___; - log
_{b}(*u*/*v*) = ___; - log
_{b}(*u*^{x}) = ___.

- log
- In solving which of the following equations
would it be useful to have a step
in which you take logarithms of both sides of the equation?
(Say Yes or No for each one.)
- log
_{2}(*x*+ 3) = 5; - (
*x*+ 3)^{2}= 5; - 2
^{x + 3}= 5.

- log

- Fill in the blanks
to break down these expressions using properties of logarithms.
(Assume that
- Exercises from the textbook due on April 5 Monday (submit these through MyLab in the Next item): 6.5.7, 6.5.11, 6.5.13, 6.5.15, 6.5.17, 6.5.19, 6.5.21, 6.5.23, 6.5.25, 6.5.27, 6.5.37, 6.5.39, 6.5.41, 6.5.43, 6.5.45, 6.5.47, 6.5.49, 6.5.51, 6.5.53, 6.5.55, 6.5.57, 6.5.61, 6.5.63, 6.5.65, 6.5.67, 6.5.69, 6.5.71, 6.5.73, 6.5.75, 6.5.78, 6.5.87, 6.5.91, 6.5.97, 6.6.1, 6.6.2, 6.6.5, 6.6.7, 6.6.9, 6.6.15, 6.6.19, 6.6.21, 6.6.23, 6.6.25, 6.6.27, 6.6.29, 6.6.31, 6.6.39, 6.6.43, 6.6.45, 6.6.49, 6.6.57, 6.6.61.

- Reading:
- Applications of logarithms:
- Reading:
- Section 6.7 (pages 481–487);
- Section 6.8: pages 478–485;
- My online notes on applications of logarithms.

- Exercises due on April 5 Monday
(submit these here on Canvas or in class):
- The original amount of money that earns interest is the _____.
- Suppose that a quantity
*A*undergoes exponential growth with a relative growth rate of*k*and an initial value of*A*_{0}at time*t*= 0. Write down a formula for the value of*A*as a function of the time*t*.

- Exercises from the textbook due on April 7 Wednesday (submit these through MyLab in the Next item): 6.7.1, 6.7.2, 6.7.7, 6.7.11, 6.7.13, 6.7.15, 6.7.21, 6.7.31, 6.7.33, 6.7.41, 6.7.43, 6.8.1, 6.8.3, 6.8.5, 6.8.7, 6.8.9, 6.8.11, 6.8.13, 6.8.15, 6.8.17, 6.8.19, 6.8.21, 6.8.23.

- Reading:
- Polynomial functions:
- Reading:
- Section 5.1 (pages 331–342);
- My online notes on graphing polynomials (but the last paragraph is optional);
- Section 5.2 Objective 1 (pages 346–348).

- Exercises due on April 7 Wednesday
(submit these here on Canvas or in class):
- Give the coordinates of a point on the graph of every power function, another point (different from the previous point) on the graph of every power function with a positive exponent, another point on the graph of every power function with an even exponent, and another point on the graph of every power function with an odd exponent.
- If a root (zero) of a polynomial function has odd multiplicity, does the graph cross (go through) or only touch (bounce off) the horizontal axis at the intercept given by that root? Which does the graph do if the root has even multiplicity?

- Exercises from the textbook due on April 12 Monday (submit these through MyLab in the Next item): 5.1.1, 5.1.2, 5.1.11, 5.1.15, 5.1.17, 5.1.19, 5.1.21, 5.1.27, 5.1.29, 5.1.33, 5.1.41, 5.1.43, 5.1.47, 5.1.49, 5.1.59, 5.1.61, 5.1.69, 5.1.71, 5.1.73, 5.1.75, 5.2.1, 5.2.2, 5.2.5, 5.2.11.

- Reading:
- Advanced factoring:
- Reading:
- Section R.6 (pages 57–60);
- Section 5.6 through Objective 1 (pages 387–390);
- Section 5.6 Objectives 3–5 (pages 391–395).

- Exercises due on April 12 Monday
(submit these here on Canvas or in class):
- Suppose that
*f*is a polynomial function and*c*is a number. If you divide*f*(*x*) by*x*−*c*, then what will the remainder be? - Suppose that
*f*is a polynomial function with rational coefficients and*c*is an integer. If*x*−*c*is a factor of*f*(*x*), then what is*f*(*c*)? - Suppose that
*f*is a polynomial function with real coefficients and*a*and*b*are real numbers with*b*≠ 0. If the imaginary complex number*a*+*b*i is a root (or zero) of*f*, then what other number must be a root of*f*?

- Suppose that
- Exercises from the textbook due on April 14 Wednesday (submit these through MyLab in the Next item): 5.6.2, 5.6.3, 5.6.4, 5.6.11, 5.6.15, 5.6.19, 5.6.33, 5.6.35, 5.6.37, 5.6.45, 5.6.51, 5.6.53, 5.6.57, 5.6.59, 5.6.65, 5.6.67, 5.6.93, 5.6.99, 5.6.101, 5.7.1, 5.7.2, 5.7.9, 5.7.11, 5.7.13, 5.7.15, 5.7.17, 5.7.19, 5.7.21, 5.7.23, 5.7.25, 5.7.29, 5.7.35, 5.7.39.

- Reading:
- Rational functions:
- Reading:
- Section 5.3 (pages 354–361);
- Section 5.4 (pages 365–375);
- My online notes on rational functions.

- Exercises due on April 14 Wednesday
(submit these here on Canvas or in class):
- If a graph gets arbitrarily close to a line (without necessarily reaching it) in some direction, then the line is a(n) _____ of the graph.
- If the reduced form of a rational function is defined somewhere where the original (unreduced) form is not, then the graph of the original function has a(n) _____ there.

- Exercises from the textbook due on April 19 Monday (submit these through MyLab in the Next item): 5.3.2, 5.3.3, 5.3.4, 5.3.15, 5.3.17, 5.3.19, 5.3.23, 5.3.27, 5.3.29, 5.3.31, 5.3.35, 5.3.45, 5.3.47, 5.3.49, 5.3.51, 5.4.1, 5.4.5, 5.4.7, 5.4.9, 5.4.11, 5.4.17, 5.4.19, 5.4.21, 5.4.23, 5.4.31, 5.4.33, 5.4.35, 5.4.51, 5.4.53.

- Reading:
- Inequalities:
- Reading:
- Section 5.5 (pages 380–384);
- My online notes on solving inequalities.

- Exercise due on April 19 Monday
(submit these here on Canvas or in class):
Suppose that you have
a rational inequality in one variable that you wish to solve.
You investigate the inequality and discover the following facts about it:
- the left-hand side is always defined;
- the right-hand side
is undefined when
*x*is 2 but is otherwise defined; - the left-hand side and right-hand side
are equal when
*x*is −3/2 and only then; - the original inequality
is true when
*x*is −3/2 or 3 but false when*x*is −2, 0, or 2.

- Exercises from the textbook due on April 21 Wednesday (submit these through MyLab in the Next item): 5.5.1, 5.5.5, 5.5.7, 5.5.9, 5.5.13, 5.5.15, 5.5.19, 5.5.21, 5.5.23, 5.5.27, 5.5.29, 5.5.35, 5.5.39, 5.5.41, 5.5.43, 5.5.47.

- Reading:

- Graphs and functions:
- Review date: February 10 Wednesday (in class).
- Date taken: February 15 Monday (in class).
- Corresponding problem sets: 1–7.
- Help allowed: Your notes, calculator.
- NOT allowed: Textbook, my notes, other people, websites, etc.

- Properties and types of functions:
- Review date: March 10 Wednesday (in class).
- Date taken: March 22 Monday (in class).
- Corresponding problem sets: 8–15.
- Help allowed: Your notes, calculator.
- NOT allowed: Textbook, my notes, other people, websites, etc.

- Logarithms and polynomials:
- Review date: April 21 Wednesday (in class).
- Date taken: April 26 Monday (in class).
- Corresponding problem sets: 16–23.
- Help allowed: Your notes, calculator.
- NOT allowed: Textbook, my notes, other people, websites, etc.

For the exam, you may use *one sheet of notes* that you wrote yourself;
please take a scan or a picture of this (both sides) and submit it on Canvas.
However, you may not use your book or anything else not written by you.
You certainly should not talk to other people!
Calculators are allowed, although you shouldn't really need one,
but not communication devices (like cell phones).

The exam consists of questions similar in style and content to those in the practice final exam:

- Section LN01 (DjVu);
- Section LN06 (DjVu).

This web page and the files linked from it (except for the official syllabus) were written by Toby Bartels, last edited on 2022 December 2. Toby reserves no legal rights to them.

The permanent URI of this web page
is
`http://tobybartels.name/MATH-1150/2022FA/`

.