Welcome to MA 15300

Welcome to John's MA 15300 Fall 2019
Course Home Page

 

Course Assignments

Class meeting Topic Assignment
Tues., Aug. 27 Section 1.1 Functions Today: We identified if a relation is function and used function notation.
Learning Objectives
1. Propose a definition of a function and use it to determine if a relation represents y as a function of x.
2. Use and interpret functional notation.

For Thursday, August 29:
Read: General Course Information and the Syllabus
Do:    Join our class group on LinkedIn. If necessary, purchase a TI-84 Plus CE or equivalent and purchase eHW access.
Look at the activity, for practice, (not for hand-in) on national unemployment rate as a function of time found HERE in Blackboard.
Be prepared to share your findings at Thursday's class.

Due Thursday, August 29, 11:59 pm: E-HW: Quiz on John's Syllabus- Score 90% or Higher by the Deadline!
Note: You need to get a score of 90% or higher for this eHW by the deadline to open up any future eHW assignments.
You have unlimited attempts.
     For practice, see these Flash Cards on eHW:
          Flash Card 1.1 Is it a function?
          Flash Card 1.1 Use function notation.
          Flash Card 1.1 Write the formula of a function.

If you have the text, read Section 1.1.
For additional practice, here are some optional exercises out of the text: 
Section 1.1 -- 3-4, 8-10, 15, 20-25, 28-29, 33, 41 and Chapter 1 Review -- #3

Prepare for QUIZ 1 next Tuesday, Sept 3 over prerequisite skills.
Review eHW Math Background Needed for MA 15300 and eHW Flash Cards for Prerequisite Skills 
            See also these skills needed for MA 15300.

Due Monday, Sept 2, 11:59 pm:  E-HW: Math Background Needed for MA 15300
Due Monday, Sept 2, 11:59 pm:  E-HW0: General Course Information and Using eHW

Thurs., Aug. 29 Section 1.2 Average Rate of Change Today: We discussed the Rule of Four, gave examples of rates, and represented the average rate of change on an interval as the slope of the segment.

Learning Objectives
1. Find and interpret the average rate of change.
2. Represent the average rate of change on a graph as the slope of a segment.
3. Use the function notation for the average rate of change
 
Handouts: These are in the folder Resources to Prepare for Test 1 on Blackboard if you want another copy.
  Activity 1.2A National Unemployment Rate
  Activity 1.2B Income Gap

Due tonight, Thursday, August 29, 11:59 pm: E-HW: Quiz on John's Syllabus- Score 90% or Higher by the Deadline!
 Note: You need to get a score of 90% or higher for this eHW by the deadline to open up any future eHW assignments.
You have unlimited attempts.
 
Due Monday, Sept 2, 11:59 pm:  E-HW: Math Background Needed for MA 15300
Due Monday, Sept 2, 11:59 pm:  E-HW0: General Course Information and Using eHW  
 
For practice with today's lesson, see these flash cards:
  Flash Card 1.2 Find Average Rate of Change
Flash Card 1.2 Interpret Average Rate of Change
For additional practice, here are some optional exercises out of the text: 
Section 1.2 -- S1-S10, 1-7, 9-14, 17-20, 22, 24,25, 28, 30 for practice.


Prepare for QUIZ 1 next Tuesday, Sept 3 over prerequisite skills.
Review eHW Math Background Needed for MA 15300 and eHW Flash Cards for Prerequisite Skills 
            You can work the Just for Practice version too. For more, see also these skills needed for MA 15300.

Class meeting Topic Assignment
Tues., Sept. 3 Section 1.3 and 1.4
Formulas of Linear Functions		 Today: QUIZ 1 over prerequisite skills
Learning Objectives
1. Use the average rate of change to determine if a function is linear.
2. Find a linear model.
3. Given the equation of a linear function, find and interpret its slope and axis intercepts and sketch its graph.
4. Find a linear model if given an initial value and an average rate of change.
5. Find a linear model if given any value (not necessarily its initial value) and an average rate of change.
6. Find a linear model if given any two points

For Thursday, Sept. 5:
 For practice with today's lesson, see these flash cards:
Flash Card 1.3.01 Using a table to explore if a function is linear
Flash Card 1.3.02 Find a linear model given an initial value
Flash Card 1.4.01 Find a linear model without given an initial value

 For additional practice, here are some optional exercises out of the text: 
Section 1.3 --  #26-30 and Section 1.4 -- #4 - 15, 31 - 36, 41, 42, 46, 47, 52, 53, 57, 61  

Due Tuesday, Sept. 10, 11:59 pm:  E-HW 1 Section 1.1 - 1.4 
Due Thursday, Sept. 12, 11:59 pm: E-HW 2 Section 1.5

Thursday, Sept. 5: QUIZ 1 over Section 1.1 and 1.2
Thurs., Sept. 5 Section 1.5 Understanding the m and the b in the Linear Function
y = b + mx and Modeling with Linear Functions  		Today: QUIZ 2 over Section 1.1 and 1.2
Learning Objectives
1. Determine the slope and equation of a horizontal line and a vertical line.
2. Determine the following geometric properties for linear functions from their equations:
    - when two lines are parallel and when they are perpendicular
    - when their y-intercepts are positive or negative
    - when they are increasing or decreasing (or neither)
3. Construct linear models and find intersection points to solve problems and make predictions.

For Tuesday, Sept. 10:
 For practice with today's lesson, see these flash cards:
Flash Card 1.4.01 Find a linear model without given an initial value
 Flash Card 1.4.02 Slopes of Parallel and perpendicular lines
 Flash Card 1.4.03 equations of parallel and perpendicular lines
 Flash Card 1.4.04 Sketch a line parallel to a given line.
 Flash Card 1.5.01 Modeling Revenue, Cost, Profit
 Flash Card 1.5.02 Modeling a Rental Car Problem

 For additional practice, here are some optional exercises out of the text: 
Section 1.5 --  #S1-S8, 1-4, 7-9, 11, 16, 18, 19, 28 (for practice) and Chapter 1 Review (page 52) -- 29, 35, 38, 42, 46-50

Due Tuesday, Sept. 10, 11:59 pm:  E-HW 1 Section 1.1 - 1.4 
Due Thursday, Sept. 12, 11:59 pm: E-HW 2 Section 1.5
Class meeting Topic Assignment
Tues., Sept. 10 Section 2.1 Input/Output
See Miss Gulch take her iconic ride to Dorothy's farm and the graph.
Section 2.2 Domain/Range		 Today: Using multiple perspectives to solve equations and inequalities graphically and to find the domain and range.

Learning Objectives
1. Use a graph, table, or an equation to evaluate a function or find its input(s) given its output.
2. Solve equations and inequalities and interpret the results.
3. Evaluate functions at given input. Solve f(x) = c for the value of x if given the value of some constant c.
4. Solve f(x) < c for the value of x graphically by finding any intersection points of the graph of y = f(x) and the graph of the target line y = c, and then use the graph to report the intervals where the graph of y = f(x) is above the graph of y = c.
5. Use a graph to report the domain and range of a function.

For Thursday, Sept. 12:
 For practice with today's lesson, see these flash cards:
Flash Card 2.1: Modeling a Function with a Graph
Flash Card 2.1: Solving Equations and Inequalities Graphically
Flash Card 2.1: Input and Output of Functions Given as Formulas
Flash Card 2.2.01: Domain and Range of a Function Given as a Graph

For additional practice, here are some optional problems out of the text
Section 2.1 -- 4-5, 9-12, 17-18, 27-29, 32, 34, 44 and Chapter 2 Review -- S1-S12, 1-4, 31, 36

Due tonight, Tuesday, Sept. 10, 11:59 pm:  E-HW 01 Section 1.1 - 1.4 
Due Thursday, Sept. 12, 11:59 pm: E-HW 02 Section 1.5

 Prepare for QUIZ 3 over Sections 1.3-1.5 on Thursday, Sept. 12
Due Tuesday, Sept. 19, 11:59 pm: E-HW 03 Section 2.1-2.2

Thurs., Sept. 12 Section 2.2 Domain/Range (cont'd) Today: QUIZ 3 over Sections 1.3-1.5

Learning Objectives
1. Report the domain and range of a function given the formula.

Due tonight Tuesday, Sept. 12, 11:59 pm:  E-HW 02 Section 1.5

For Tuesday, Sept. 17:
 For practice with today's lesson, see these flash cards:
Flash Card 2.2.02: Domain and Range of a Function Given as a Formula
Flash Card 2.2.03: Domain and Range of a Function Defined Verbally

For additional practice, here are some optional problems out of the text
Section 2.2 -- 9-18, 29

Due Tuesday, Sept. 17, 11:59 pm: E-HW 03 Section 2.1-2.2
Class meeting Topic Assignment
Tues., Sept. 17 Section 2.5 Inverse Functions and Section 2.6 Concavity Due tonight, Sept. 17, 11:59 pm: E-HW 03 Section 2.1-2.2

Learning Objectives
1. Use notation for inverse functions given a graph, formula, table, or words.
2. Interpret expressions or equations which involve function notation and inverse function notation.
3. If given the formula for a function, find the formula of the inverse function.
4. Determine the intervals of x for which is concave up or down or increasing or decreasing.

 For Thursday, Sept. 19:
 For practice with today's lesson, see these flash cards:
Flash Card 2.5 Inverses of functions represented with graphs and tables
Flash Card 2.5 Inverses of functions represented with words and formulas
Flash Card 2.6 Concavity
For additional practice, here are some optional problems out of the text  
Section 2.5 --13-26, 35-39, 45-50 and Section 2.6 -- 1-23, 26 and Ch 2 Review # 41, 42, 55, 56, 58, 59, 60, 62, 65 , 68

Prepare for QUIZ 4 on Thursday, Sept. 19 over Section 2.1, 2.2, 2.5, 2.6
Due Thursday, Sept. 19, 11:59 pm:  E-HW 04 Section 2.5-2.6
Note: Test 1 next week covers Sections 1.1-1.5, 2.1, 2.2, 2.5, and 2.6 See the review materials on BB in the folder Reviews for Exams.
Thurs., Sept. 19 Section 4.1
Exponential Functions

Due tonight, Thursday, Sept. 19, 11:59 pm:  E-HW 04 Section 2.5-2.6

 Learning Objectives
1. Given a formula, get an annual growth rate or decay rate, as well as an initial amount.
2. Given an annual growth rate or decay rate and an initial amount,
a. write a formula y = abx or
b. know what a and b mean in the formula y = abx or
c. predict a future value of y for some x and given a value of y, find a value of x.

For practice with today's lesson, see these flash cards:
Flash Card 4.1 Identify if a function is exponential
Flash Card 4.1 Growth and Decay Factors
Flash Card 4.1 Find an Exponential Formula Given Verbal Description
 Flash Card 4.1 Exponential Formula Given Initial Value
For additional practice, here are some optional problems out of the text  
 Section 4.1 --  S1-S4, 1-12, 14-40, 22, 23, 26, 27, 29, 32, 39, 40, 50, 53, 55, 56 and Chapter 4 Review 1-7, 9,10, 15, 16, 26-28

Test 1 covers Sections 1.1-1.5, 2.1, 2.2, 2.5, and 2.6  See the review materials on BB in the folder Reviews for Exams.
Walk in to the Math Test Center KT G18 with any kind of photo ID and your graphing calculator to take the test
during their hours of operation on Monday, Tuesday, or Wednesday next week. There is no class meeting on Tuesday, Sept. 24.

Class meeting Topic Assignment
Tues., Sept. 24 No class meeting Take Test 1 in the Math Test Center
Thurs., Sept. 26 Section 4.2
Finding Formulas of Exponential Functions

Learning Objectives
1. Given some data (which is not an initial amount).
a. write a formula y = abx or
b. know what a and b mean in the formula y = abx or
c. predict a future value of y for some x and given a value of y, find a value of x.
2. Compare linear and exponential functions and find their intersections points.

For Tuesday, Oct. 1
 For practice with today's lesson, see these flash cards:
Flash Card 4.2 Exponential Formula Not Given an Initial Value
Flash Card 4.2 Account Balance

 
For additional practice, here are some optional problems out of the text  
 Section 4.2 --S1-S10, 1-36, 38, 46-49 and Chapter 4 Review  11-14, 31, 35, 60 and have Reading Questions for 4.3 ready at the start of class.

Due Thursday, Oct. 3, 11:59 pm: E-HW 05 Section 4.1 and 4.2
Class meeting Topic Assignment
Tues., Oct. 1 The Graph of y = abx (4.3)
and Compound Interest (4.4) 		Learning Objectives
1.Determine what a and b mean in the formula y = abx.
2. Describe the general shape, concavity, domain, range, and asymptotes of the function y = abx.
3. Use the compound interest formula A = P(1 + r/n)nt appropriately and relate it to the growth formula A = P(1 + r)t.

For Thursday, Sept. 26
 For practice with today's lesson, see these flash cards:
Flash Card 4.2 Exponential vs. Linear
 Flash Card 4.3 Visualize what a and b mean in y = a(b)^x.
For additional practice, here are some optional problems out of the text  
 Section 4.3 -1-15, 18, 19, 23 - 33, 35, 40-44 and Chapter 4 Review -- 18, 34.

Due Thursday, Oct. 3, 11:59 pm: E-HW 05 Section 4.1 and 4.2

 QUIZ 5 on Thursday, Oct. 3 over Sections 4.1-4.2
Thurs., Oct. 3 Section 4.4 Compound Interest

Learning Objectives
1. Relate the compound interest formula A = P(1 + r/n)nt to the growth formula A = P(1 + r)t and A = Pert.
2. Use the compound interest formula A = P(1 + r/n)nt or A = Pert. Find A, P, or t if given the remaining parameters.

For Tuesday, Oct. 8
 For practice with today's lesson, see these flash cards:
Flash Card 4.4: Compound Interest - Calculate A or Solve for P
Flash Card 4.4: Compound Interest - Find t (using a table or graph)
Flash Card 4.4: Work with Growth and Decay Factors to find a formula of an exponential function

 For additional practice, here are some optional problems out of the text  
 Section 4.4 -1-21 and Section 4.5 -- S1-S10, 1-25, 34 - 44 and Chapter 4 Review -- 17, 47, 63, 66, 67

Due tonight, Thursday, Oct. 3, 11:59 pm: E-HW 05 Section 4.1 and 4.2
Due Thursday, Oct. 10, 11:59 pm: E-HW 06 Sections 4.3-4.5
Class meeting Topic Assignment
Tues., Oct. 8 Section 5.1 and
Tools for Chapter 5
 What is a Logarithm?		 Learning Objectives
1. Rewrite an equation in exponential form into logarithmic form and vice versa.
2. Find the value of a logarithm written to any base, as well as common and natural logarithms.
3. Use the inverse properties of logarithms

For Thursday, Oct. 10
 For practice with today's lesson, see these flash cards:
Flash Card 5.1 Logarithmic form <=> Exponential form
Flash Card 5.1 Find the logarithm (to any base) of an expression
Flash Card 5.1 Simplify the natural or common logarithm of an expression
Flash Card 5.1 Use the Inverse Properties of Logarithms and Exponential Functions

For additional practice, here are some optional problems out of the text  
 Section 5.1 -- 1-28, 35-52 and Chapter 5 Review -- 21-23, 30-32, 59 and worksheet on logarithms.
See also Ch 5 Skills Refresher (p. 232) 1-15, 25, 27, 32, 34, 37

Prepare for QUIZ 6 Thursday, Oct. 10 over Sections 4.3-4.5

Due Thursday, Oct. 10, 11:59 pm: E-HW 06 Sections 4.3-4.5
Due Thursday, Oct. 17, 11:59 pm: E-HW 07 Section 5.1 Logarithms
Thurs., Oct. 10 Section 5.1 Properties of Logarithms and
Solving Exponential
and Logarithmic Equations
 

Learning Objectives
1. Determine the domain of a logarithm.
2. Rewrite a logarithmic expression using properties of logs.
3. Use inverse properties to find both exact and approximate solutions to logarithmic equations.
4. Use inverse properties to find both exact and approximate solutions to exponential equations.
 

For Tuesday, Oct. 8
 For practice with today's lesson, see these flash cards:
Flash Card 5.1 Simplify the natural or common logarithm of an expression
Flash Card 5.1 Use the Inverse Properties of Logarithms and Exponential Functions
Flash Card 5.1 Properties of Logs
Flash Card 5.1 Solving Logarithmic Equations
Flash Card 5.1 Solving Exponential Equations Using Logarithms


 For additional practice, here are some optional problems out of the text  
 Section 5.1 -- 29-34, 53, 54, 57-62, 65, 69-72 and Chapter 5 Review -- 7-11, 13, 15, 19, 33, and Ch 5 Skills Refresher 40-43, 46-49
Due tonight, Thursday, Oct. 10, 11:59 pm: E-HW 06 Sections 4.3-4.5
Due Thursday, Oct. 17, 11:59 pm: E-HW 07 Section 5.1 Logarithms
Class meeting Topic Assignment
Tues., Oct. 15 Section 5.2
Doubling Time and
Half Life		 Learning Objectives
1. Given a function which models exponential growth, find the doubling or tripling time and the percent growth per unit time period.
2. Given a function which models exponential decay, find half-life and the percent loss per unit.
3. If given the doubling time, tripling time, half-life, or percent rate over a given time period, write a possible formula.

For Thursday, Oct. 17
 For practice with today's lesson, see these flash cards:
Flash Card 5.2 Half-life and Doubling Time
Flash Card 5.2 Modeling Exponential Functions - Rate over a given time period
 For additional practice, here are some optional problems out of the text  
 Section 5.2 - 1-35, 39, 41, 42, 46 and Chapter 5 Review -- 41, 43

Prepare for QUIZ 7 Thursday, Oct. 17 over Section 5.1

Due Thursday, Oct. 17, 11:59 pm: E-HW 07 Section 5.1 Logarithms
Due Thursday, Oct. 24, 11:59 pm: E-HW 08 Sections 5.2-5.3
Thurs., Oct. 17 Section 5.3
Why We Care About Logarithms		 Learning Objectives
1. Use the definition of pH = −log [H+] to find the pH if given the hydrogen ion concentration [H+] or vice versa (solve a log equation).
2. Report the concavity, domain, range, asymptotes, etc. of the graph of y = log x or y = ln x.
 See Tsunami 2011 footage
For Thursday, October 24
 For practice with today's lesson, see these flash cards:
Flash Card 5.3 Logarithmic Models
Flash Card 5.3 The Graph of the Logarithm
For additional practice, here are some optional problems out of the text  
 Section 5.3 - S1-S10, 3, 7-10,17-24, 32, 33, 37, 39, 42-45, 48-51, 54
Prepare for QUIZ 8 on Thursday, Oct. 24 over Section 5.2-5.3
 
Due Thursday, Oct. 17, 11:59 pm: E-HW 07 Section 5.1 Logarithms
Due Thursday, Oct. 24, 11:59 pm: E-HW 08 Sections 5.2-5.3
Class meeting Topic Assignment
Tues., Oct. 22 No class meeting  
Rhino on Fall Break Fall Break

Take a Rhino Rest!
 
Thurs., Oct. 24 Section 2.4
Transformations		 Learning Objective
Given the formula or graph or table of a function f(x), write the formula of a vertical or horizontal shift of the function in terms of f(x) or in terms of x as an outside/inside additive change to the function rule.

For Thursday, October 31
 For practice with today's lesson, see these flash cards:
Flash Card 2.4 Horizontal and Vertical Shifts
Flash Card 2.4 Horizontal and Vertical Shifts (Given graph, write formula)
For additional practice, here are some optional problems out of the text  
Section 2.4 - 3-9, 11-13, 19, 21, 26 
Due Tues., Oct. 31, 11:59 pm: eHW-09 2.4, 6.1-6.2 Transformations
Test 2 covers Chapter 4 and 5 (not 5.4).  See the review materials on BB in the folder Reviews for Exams.
Walk in to the Math Test Center KT G18 with any kind of photo ID and your graphing calculator to take the test
during their hours of operation on Monday, Tuesday, or Wednesday next week. There is no class meeting on Tuesday, Oct. 29.
Class meeting Topic Assignment
Tues., Oct. 29 No class meeting Take Test 2 in the Math Test Center
Thurs., Oct. 31 Vertical Reflections (6.1) and
Vertical Stretch/Compressions (6.2) 		Learning Objectives
1. Write the formula of a vertical or horizontal reflection of a function if given its graph or sketch a graph if given its formula.
  Combine these with shift transformations.
2. Write the formula of a vertical stretch or compression of a function if given its graph or sketch a graph if given its formula.
3. Identify whether a function is odd, even, or neither by looking at its graph, equation or table.
4. If given that a function is odd or even and a point on its graph, determine another point.

For Tuesday, Nov. 5
 For practice with today's lesson, see these flash cards:
Flash Card 6.1 Horizontal and Vertical Reflections
Flash Card 6.2 Vertical Stretches and Compressions

For additional practice, here are some optional problems out of the text
Section 6.1 - 1-24, 32-52  students' choice and Section 6.2 -- 1-44 students' choice

 Due Thursday, Nov. 7, 11:59 pm: eHW-09 Sections 2.4, 6.1, 6.2 Transformations
Class meeting Topic Assignment
Tues., Nov. 5 Section 3.1 and 3.2 Quadratic Functions

Learning Objectives
1. Determine the zeros of a quadratic function
2. Write the formula of a quadratic function in vertex form, factored form, or expanded (standard) form.
3. Determine the y-intercept and the axis of symmetry of a quadratic function.

For practice:
Flash Card 3.1 Find the zeros of a quadratic equation using factoring
Flash Card 3.1 Find the zeros of a quadratic equation using Quad. Formula or Grapher
Flash Card 3.1 Find a quadratic model given its zeros
Flash Card 3.2 Find a quadratic model given the vertex
Flash Card 3.2 Find a quadratic model in factored, vertex, and expanded form and its axis of symmetry
Flash Card 3.2 Sketch a parabola with the same shape as y =ax^2 with a given vertex and find its formula.
Flash Card 3.2 Applications of Quadratic Functions

For additional practice, here are some optional problems out of the text
Section 3.1  -- 34-45, Section 3.2  --  1-11, 17-35, 38-42, 44, 45 and Chapter 3 Review  --  1-31

QUIZ 9 on Thurs., Nov. 7 over Sections 2.4, 6.1-6.2 (See eHW-09)
Due Thursday, Nov. 7, 11:59 pm: eHW-09 Sections 2.4, 6.1, 6.2 Transformations
Thurs., Nov. 7 Section 3.2: Quadratic Functions cont'd and Section 10.1 Combinations of Functions

Learning Objectives
1. Determine the zeros of a quadratic function
2. Write the formula of a quadratic function in vertex form, factored form, or expanded (standard) form.
3. Determine the y-intercept and the axis of symmetry of a quadratic function.
4. Use function composition to create a new functions.

For practice:
Flash Card 3.2 Applications of Quadratic Functions
Flash Card 10.1 Composition of Functions
For additional practice, here are some optional problems out of the text
Section 3.2 -- 44, 45 and Section 10.1 -- 2 - 5, 8-14, 18, 21 - 26, 31, 32, 37 - 42, 71

Due tonight, Thursday, Nov. 7, 11:59 pm: eHW-09 Sections 2.4, 6.1, 6.2 Transformations
 Due Thursday, Nov. 14, 11:59 pm: eHW-10 Sections 3.1-3.2

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