John's MA 22900
Assignments for Each Day
Spring 2020

 

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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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