Math 104 Unit 1 Outline

Unit 1: Linear Functions

 

**Videos for nearly all these topics can be found by searching at: https://www.khanacademy.org/math.

 

Class 1:  1/12/17

1.0  Algebra Toolbox

  • What do inequality notation and interval notation represent?  How are they related?
  • How do you plot points on the Cartesian coordinate system?
  • What is a polynomial?  How do you determine the degree of a polynomial?
  • How do you simplify an algebraic expression?
  • Words to be familiar with: term, variable, coefficient, constant, leading coefficient, degree.

Homework: Page 9 #11, 13, 19, 25, 27, 31, 35-41 odd

 

Class 2:  1/17/17

1.1  Functions and Models

  • What is the definition of a function?
  • What is function notation?
  • How do you evaluate a function?
  • What are the domain and range of a function?  How are these found?

Homework: Pages 20-26 #7, 11-19 odd, 27, 51, 53, 59

 

Class 3:  1/19/17

1.2  Graphs of Functions

  • How do you graph equations with the point-plotting method?
  • How do you graph equations with graphing calculators?
  • When is a graph considered a “complete graph”?
  • How do we align inputs and scale outputs to model data?

Homework: Pages 37-40 #1, 11, 19, 35, 37, 39, 49

 

Class 4:  1/24/17

1.3  Linear Functions

  • What is a linear function?
  • How do you find the intercepts of the graph of a linear function?
  • How do you find the slope of a linear function?
  • How do you graph a linear function?
  • How is the rate of change of a function related to its slope?
  • How is marginal profit related to a profit function?

Homework: Pages 54-58 #3, 7, 19, 25, 27, 33, 37, 49, 55, 59

 

Class 5:  1/26/17

1.4  Equations of Lines

  • What is the slope-intercept form of a linear equation?
  • What is the point-slope form of a linear equation?
  • What do the equations of horizontal and vertical lines look like?
  • How do you find the average rate of change for a function?

Homework: Pages 70-75 #3, 5, 9, 11, 27, 39, 49, 67

 

Class 6:  1/31/17

2.0  Algebra Toolbox

  • What are the properties of equations?  How are they used to solve equations?

2.1  Algebraic and Graphical Solution of Linear Equations

  • How do you solve linear equations algebraically?
  • How do you solve linear equations graphically?

Homework: Page 91 #9, 11, 13, 17, 19; Pages 101-104 #9, 11, 21, 37, 47, 59, 63, 67, 81

 

Class 7:  2/2/17

2.2  Modeling Linear Functions

  • What are the first differences of data outputs?  How can they be used to determine if data can be modeled with a linear function?
  • What is the difference between a discrete function and a continuous function?
  • How do you perform linear regression to find the best-fit line for a set of data?
  • How do you find the sum of squared errors and the average error for a model?
  • What is the difference between interpolation and extrapolation?

Homework: Pages 118-123 #23, 33, 35, 41

 

Class 8:  2/7/17

2.3  Systems of Linear Equations in Two Variables

  • What is the graphical method for solving a system of equations?
  • What is the substitution method for solving a system of equations?
  • What is the elimination method for solving a system of equations?

Homework: Pages 135-137 #7, 11, 21, 23, 29, 31, 35, 45

 

Class 9:  2/9/17

HOMEWORK 1 DUE

7.1  Systems of Linear Equations in Three Variables

  • How do you solve a system of three equations with three variables?

7.2  Matrix Solution of Systems of Linear Equations

  • How can you use a matrix and your calculator to solve a system of equations?

Homework: Pages 518-520 #11, 13, 15, 27, 33; Pages 531-532 #15, 17, 19, 33

 

Class 10:  2/14/17

Review for Test 1

 

Class 11:  2/16/17

HOMEWORK 2 DUE

TEST 1