Important Links

• Course Website
• Course Syllabus
• Important Dates
• Gateway Practice Exams
• Assignments/Team HW
• WebWork
• PAST EXAMS!! (The perfect study tool)
• EXAM SHOP (The other perfect study tool)
  • The problem are split into sections and look like [quinoa(2)#].
  • Clicking on the name will take you to the problem and clicking on the # will take you to the solutions to that problem.
  • Practice with Linear Functions (10 problems).
  • Practice with Quadratic Functions (10 problems).
  • Practice with Interpretations (10 problems).
  • Practice with Exponential Functions (10 problems).

What Happened in Class?

Wednesday, September 5

• Went over the syllabus.
• Introduced functions and how we can represent them using the Rule of Four:

1. Words
2. Tables
3. Graphs
4. Formulas

• Exercise #25 on page 55.
• Vertical Line Test.

To do:

• Get the textbook and a calculator.
• Read sections 1.1 and 1.2.
• Start Webwork 1.1 (Due Wed, Sep 12, 11:59:00 pm).
• Read Student Guide (Quiz on it on Mon, Sep 10).

Thursday, September 6

• Formed TeamHW Groups.
• Reviewed the Rule of Four and determining whether a relationship is a function.
• Discussed the Gateway (Available 9/10 - 9/24 in East Hall B069)
• Exercises #3, #6 on page 53.
• Exercises #16, #17 on page 7.
• Exercise #35 on page 9.

To do:

• Get the textbook and a calculator.
• Read sections 1.2 and 1.3.
• Meet with your team and work on TeamHW #1 (Due Friday, 9/14, 5pm).
• Read Student Guide (Quiz next class).

Monday, September 10

• Discussed the average rate of change of a function over an interval and how to compute it in various ways:

1. Words: "Rise/Run" = "Change in y over change in x"
2. Tables: Given two data points (x1,y1) and (x2,y2) in your table, the average rate of change is (y2 - y1)/(x2 - x1).
3. Graphs: Slope of the secant line between two points.
4. Formulas: Given a function f(x), the average rate of change of f on the interval [x1,x2] is (f(x2) - f(x1))/(x2 - x1).

• Exercises #20, #22, #23 on page 16.
• Discussed what it means for a function to be increasing or decreasing.
• Exercises #1 - #4 on page 15.

To do:

• Read sections 1.3 and 1.4 (and 1.5 if you're feeling adventurous).
• Skill Refresher for Chapter 1 on pages 62-67.
• WebWork 1.1 due Wednesday, September 12, 11:59:00.
• Gateway open until 9/24 (if >85% pass by Friday, there'll be a treat on Monday!).

Wednesday, September 12

• Discussed linear functions (functions with a constant rate of change).
• Discussed the different forms of a linear function (page 31):

1. Slope-Intercept Form: y = mx + b.
2. Point-Slope Form: y - y0 = m(x - x0).
3. Standard Form: Ax + By + C = 0.

• Exercises #17 - #19 on page 25.
• Discussed practical interpretations for a linear function, its slope, and its y-intercept.
• Exercise #11 on page 54.
• Exercises #13, #15 on page 34.

To do:

• Read sections 1.4 and 1.5.
• Skill Refresher for Chapter 1 on pages 62-67.
• WebWork 1.1 due TONIGHT at 11:59:00.
• Gateway open until 9/24 (if >85% pass by Friday, there'll be a treat on Monday!).
• TeamHW due by Friday, 5pm.
• TEAM QUIZ on sections 1.1, 1.2 on Monday.

Thursday, September 13

• Interpreted varying the coefficients m and b for a linear function y = mx + b.
• Discussed horizontal (m = 0) and vertical ("infinite"/undefined slope) lines.
• For a pair of lines y = mx + b and y = nx + c, we discussed when they are parallel (n = m) or perpendicular (n = -1/m).
• Play around with it yourself using Desmos!
• Exercises #31, 32, 35, 36 on page 35.
• Exercises #42, 43, 44, 46ab on page 35.
• Exercise #23 on page 45.

To do:

• Read sections 2.1 and 2.2.
• WebWork.
• TeamHW due by Friday, 5pm.
• Team quiz on sections 1.1, 1.2 next class!

Monday, September 17

• Discussed Team HW.
• Took team quiz on sections 1.1 and 1.2.
• Went over T/F questions on the quiz.

To do:

• Read sections 2.1 and 2.2.
• WebWork.
• Turn in Team HW by Friday, 5pm. Emailing it to me is fine!

Wednesday, September 19

• Discussed importance of interpreting expressions like f(5) = 3 coming from real-world examples, with units.
• Went over evaluating a function y = f(x) (finding y given x) and solving such expressions (finding x given y).
• Worked on this problem set and discussed solutions as a class.
• Discussed the domain and range of a function.

To do:

• Read sections 2.2 and 2.3.
• WebWork.
• Turn in Team HW by Friday, 5pm. Emailing it to me is fine!

Thursday, September 20

• Clarified interval notation, set notation, and using inequalities.
• Practiced going between these using this worksheet.
• Exercises #22, #23 on page 75.
• Exercises #24, #25 on page 76.
• Exercises #11, #15, #16 on page 82.
• Exercise #30 on page 83.

To do:

• Read sections 2.3 and 2.4.
• WebWork
• Turn in Team HW by Friday, 5pm. Emailing it is fine!
• Gateway Exam closes on Monday 9/24!!

Monday, September 24

• Beats me...(Andy graciously subbed).
• Discussed piecewise defined functions (like y = |x|).
• Exercises #7, #10 on page 88.
• Exercises #25, #28 on page 90.

To do:

• Read sections 2.4 and 2.5.
• WebWork.
• Team HW.
• Gateway closed today!

Wednesday, September 26

• Discussed vertical and horizontal shifts of functions.
• Motivation: Solving the world's greatest mystery!
• Used Desmos to recreate DVD screensaver.
  • Change the function f(x) to whichever function you like best.
    • Example: Bouncing Batman.
  • Press the "play" button for h,k to see your graph bounce around the enclosed region.
  • Change visibility of graphs/points by clicking on colored circles to the left.
• Exercise #12 on page 96.
• Introduced composite functions.

To do:

• Read sections 2.5 and 2.6.
• WebWork.
• Team HW.

Thursday, September 27

• Reviewed composite functions.
• Exercises #5-#12 on page 102.
• Did exercises #13-#15 on page 102 at the board.
• Talked about inverse functions.
• Discussed the horizontal line test.

To do:

• Read sections 3.1 and 3.2.
• WebWork
• Team HW due tomorrow by 5pm.

Monday, October 1

• Reviewed inverse functions and methods to tell if a function is invertible.
• Exercises #32, #33 on page 102.
• Exercises #39, #46 on page 103.
• Discussed concavity.
• Exercises #1-#4 on page 106.
• Exercises #13-#16 on page 107.

To do:

• Read sections 3.1 and 3.2.
• WebWork.
• Team HW due Friday at 5pm.

Wednesday, October 3

• Introduced quadratic functions.
  • Standard form: ax^2 + bx + c.
  • Factored form: a(x - r)(x - s).
  • Vertex form: a(x - h)^2 + k
• (Good to do) Exercises #3 - #8 on page 121.
• Discussed evaluating quadratic functions and the graphs of quadratic functions.
• (Good to do) Exercise #42 on page 122.
• Discussed solving quadratic equations = finding the zeros of the function.
• (Good to do) Exercises #17-#20 on page 130.
• Discussed completing the square to put a quadratic function into vertex form.
  • General Steps and Examples of Completing The Square.

To do:

• Read sections 4.1 - 4.3
• WebWork
• Team HW due Friday
• IMPORTANT: Midterm on Tuesday, October 9, in MLB 1200 from 6pm - 7:30pm.
  • Problem Session on Friday, October 5, in MLB 2106 from 11am - 1pm. (Come for any part of it!)
  • Review Session on Sunday, October 6, in EH 4096 from 6pm - 8pm. (Come for any part of it!)