Here is material about the administration of the course:

- Canvas page (where you must log in for full access, available while the course is in session).
- Help with DjVu (if you have trouble reading the files below).
- Course policies (DjVu).
- Class hours: Mondays and Wednesdays from 5:30 PM to 6:50 in LNK U-105.

- Name: Toby Bartels, PhD;
- Canvas messages.
- Email: TBartels@Southeast.edu.
- Voice mail: 1-402-323-3452.
- Text messages: 1-402-805-3021.
- Office hours:
- Mondays and Wednesdays from 9:30 to 10:30,
- Tuesdays and Thursdays from 2:30 PM to 4:00, and
- by appointment,

- General review:
- Date due: January 15 Wednesday.
- 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:
- 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 January 22 Wednesday on MyLab: 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.

- Graphing points:
- Date due: January 22 Wednesday.
- Reading: Section 2.1 (pages 150–154) from the textbook.
- Exercises due:
- 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 January 27 Monday on MyLab: 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:
- Date due: January 27 Monday.
- Reading:
- Section 2.2 (pages 157–164) from the textbook;
- My online notes on symmetry and intercepts.

- Exercises due: 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 January 29 Wednesday on MyLab: 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.

- Lines:
- Date due: January 29 Wednesday.
- Reading:
- Section 2.3 (pages 169–179);
- My online notes on lines.

- Exercises due: 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 February 3 Monday on MyLab: 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.

- Systems of equations:
- Date due: February 3 Monday.
- Reading:
- Section 12.1 (pages 868–878);
- My online notes and video on systems of equations.

- Exercises due:
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 February 5 Wednesday on MyLab: 12.1.3, 12.1.4, 12.1.6, 12.1.11, 12.1.19, 12.1.21, 12.1.27, 12.1.31, 12.1.45, 12.1.47, 12.1.65, 12.1.73.

- Functions:
- Date due: February 5 Wednesday.
- Reading:
- Section 3.1 (pages 203–215);
- My online notes on functions.

- Exercises due:
- 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 February 10 Monday on MyLab: 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.

- Graphs of functions:
- Date due: February 10 Monday.
- Reading: Most of Section 3.2 (pages 219–223), but you may skip parts D and E of Example 4.
- Exercises due:
- 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 February 12 Wednesday on MyLab: 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:
- Date due: February 12 Wednesday.
- Reading:
- Section 3.3 (pages 229–237);
- My online notes on properties of functions.

- Exercises due: 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 February 19 Wednesday on MyLab: 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.

- Word problems with functions:
- Date due: February 19 Wednesday.
- 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:
- 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 February 24 Monday on MyLab: TBA.

- More to come!

This web page and the files linked from it were written by Toby Bartels, last edited on 2020 February 17. Toby reserves no legal rights to them.

The permanent URI of this web page
is
`http://tobybartels.name/MATH-1150/2020SP/`

.