Class meeting |
Topic |
Assignment |
Monday, January 13 |
Introducing the Main Character of Calculus: Slope (1.1) |
Handouts: Syllabus
Practice
Questions to Check Prerequisite Skills Needed for MA 22900
Introducing the Main Character of Calculus - the Slope
What's the Difference?
Today's objectives:
1. Relate the value of a slope to its steepness.
2. Determine the slope of a line from a grid and find its equation.
3. Explore the difference between two functions and make connections
between their graphs.
4. Use a graph to find the output of a
function given an input or vice versa.Due: Wednesday, January 15
Read: the Syllabus and Section 1.1 and 1.2
Do: If necessary, purchase a TI-84 Plus CE or equivalent.
Optional:
Section 1.1-- 1-12, 15-20, 39-42, 45-48, 61 for practice as
needed.
Review
Practice Questions to Check Prerequisite Skills Needed for MA 22900
and these
Worked out Solutions.
You should also be proficient in these
skills needed for MA 15300.
Prepare for the QUIZ next Friday, Jan. 24 over prerequisite
skills. (See green packet and MML.)
Due Wednesday, Jan, 22, 11:59
pm:
MML HW 01: Math Background Needed for MA
22900
You have unlimited attempts. |
Wednesday, January 15 |
Break-Even Analysis (1.2) |
Handouts: What's the Difference?
Revenue, Cost, Profit
Slopes and Linear Functions
Today's objectives:
1. Perform a break-even analysis:
a. Use the graph or formula of Revenue, Cost, or Profit
to determine the break-even quantity (or quantities).
b. Determine the amount of Revenue or Cost at a
break-even quantity.
2. Use graphs to determine the production level when a company will maximize
Revenue or maximize Profit.
3. Interpret the slope and y-intercept of a linear function if it
represents Cost, Revenue, or Profit.
Due Friday, January 17
Do: MML: What's the Difference? (Just for
practice. No grade recorded)
Complete the first question in the Slopes and Linear Functions
handout.
Optional:
Section 1.2-- 11, 14, 15, 18-26, 33, 34 for practice as
needed.
Prepare for the QUIZ next Friday, Jan. 24 over prerequisite
skills. (See green packet and MML.)
Due Wednesday, Jan, 22, 11:59
pm:
MML HW 01: Math Background Needed for MA
22900
You have unlimited attempts. |
Friday, January 17 |
Supply and Demand (1.2) |
Handouts: Slopes and Linear Functions
Supply and Demand
Today's objectives:
1. Find and interpret the slope and axis intercepts of a linear demand
function.
2. Find the formula of a cost function without
given the y-intercept.
3. Find marginal cost, marginal revenue, and marginal profit from a formula
or graph.
4. Determine the equilibrium quantity if given the formulas or graphs of the
supply and demand.
At a given price find if the market has a consumer surplus (like
this)
or shortage (like
this) and how it affects the price.
Due Wednesday, January 22
Do:
Complete the last question in the Slopes and Linear Functions
handout.
Optional:
Section 1.2-- 27-32, 37, 38
for practice as needed.
Prepare for the QUIZ next Friday, Jan. 24 over
prerequisite skills. (See green packet and MML.)
Due Wednesday, Jan, 22, 11:59
pm:
MML HW 01: Math Background Needed for MA 22900
You have unlimited attempts. |
|
Class meeting |
Topic |
Assignment |
Monday, January 20 |
Martin Luther King Day |
No class meeting. |
-->
Wednesday, January 22 |
Quadratic Functions (2.1 & 2.2)
|
Handout: Revenue Rectangles
Today's objectives:
1. Use the table feature and intersection finder of a grapher to solve
problems involving supply and demand functions.
2. Given the formulas of a linear cost function C(x) = mx + b and a quadratic
revenue function R(x),
find any break-even quantities and create the profit
function. Use the intersection feature of a grapher to help you.
3.
Given the formula of a quadratic function
find any zeros and its vertex.
4. Given a linear price-demand function p(x), create the revenue function
R(x)
= x·p(x) and maximize the revenue.
Use the intercepts of the demand line to help you.
Similarly
if you have a demand price function q = D(p) find
R(p) =
p·q.
=
p·D(p).
Due tonight, Wednesday, January 22, 11:59 pm: MML HW 01 --
Math Background Needed for MA 22900
You have unlimited attempts.
Due Friday, January 24 for practice (optional):
MML: Using a Grapher (Just for Practice. No grade will be
recorded.)
Section 2.2 -- 1-8,
25-38, use grapher: 49-54 and 57
Friday, January 24: QUIZ over prerequisite skills. (See green
packet and MML.)
Due Wednesday, January 29, 11:59 pm: MML HW 02 -- Section 1.1
and 1.2 |
Friday, January 24 |
Properties of Functions (2.1 & 2.2) |
Handout: Classifying Parts of Curves
Today's objectives:
1. Report the domain and range of a function if given its graph or
formula.
2. Report intervals where a function is increasing or decreasing.
3. Report the concavity of a function.
4. Given a graph, report relative max/min, absolute max/min, and
points of inflection
Due Monday, January 27 for practice (optional):
MML: Domain & Range (Just for Practice. No grade will be
recorded.)
Section 2.1-- 17-26, 33-39, 57-62, 71
Due Wednesday, January 29, 11:59 pm: My Math Lab HW 01-- Section 1.1 and 1.2
Due Friday, January 31, 11:59 pm: My Math Lab HW 02-- Section 2.1
and 2.2 |
|
Class meeting |
Topic |
Assignment |
Monday, January 27 |
Polynomial Functions |
Handout: A Fatal Polynomial
Today's objectives:
1. Given a formula, use a grapher to find relative max/min, absolute
max/min, or points of inflection.
2. Given a formula, identify characteristics of the graph of polynomial
functions such as its zeros, minimum degree and whether its leading coefficient
is positive or negative.
Due Wednesday, January 29
(optional)
For practice: Section 2.3
-- 1-28, 31, 33, 34,41-43, 51, 52
MML: Find Maximum (Just for Practice. No grade will be
recorded.)
QUIZ 1 Section 1.1 & 1.2 on Wednesday, January 29.
Due Wednesday, January 29, 11:59 pm: My Math Lab HW 01-- Section 1.1 and 1.2
Due Friday, January 31, 11:59 pm: My Math Lab HW 02-- Section 2.1
and 2.2 |
Wednesday, January 29 |
Rational Functions |
Handout: Average Cost
Today's objectives:
1. Given a formula of a rational function, report asymptotes and
intercept or vice ersa.
2. Interpret the real world meaning of the asymptotes of an average cost
function
3. For linear cost C(q), write average cost a(q) = C(q)/q
as a transformation of the graph of y = 1/q.
Due Wednesday, January 31
(optional)
For practice: Section 2.3
-- 16-20, 27-38, 41, 42, 46, 47
Due tonight, Wednesday, January 29, 11:59 pm: My Math Lab HW 01-- Section 1.1 and 1.2
Due Friday, January 31, 11:59 pm: My Math Lab HW 02-- Section 2.1
and 2.2
Due Monday, Feb. 3, 11:59 pm: My Math Lab HW 03-- Section 2.3 |
Friday, January 31 |
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