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
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 |
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|
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. |
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Formulas of Linear Functions
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
y = b + mx and Modeling with Linear Functions
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
See Miss Gulch take her iconic ride to Dorothy's farm and the graph.
Section 2.2 Domain/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
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
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.
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.
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
and Compound Interest (4.4)
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
QUIZ 5 on Thursday, Oct. 3 over Sections 4.1-4.2
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
Due
Thursday, Oct. 10, 11:59 pm:
E-HW 06 Sections 4.3-4.5
Tools for Chapter 5
What is a Logarithm?
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
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
Doubling Time and
Half Life
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
Why We Care About Logarithms
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
 |
Fall Break Take a Rhino Rest! Photo by Kathy Hanby. Used with permission. |
Transformations
Stay tuned.
Test 2
in the Math Test Center next week. See the review sheet.
Sample questions on Blackboard.
Stay tuned.