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 02-- Section 1.1 and 1.2
Due Friday, January 31, 11:59 pm: My Math Lab HW 03-- 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 02-- Section 1.1 and 1.2
Due Friday, January 31, 11:59 pm: My Math Lab HW 03-- Section 2.1 and 2.2

Wednesday, January 29 Rational Functions

Handout:  Average Cost to Produce a Drug Part 1

Today's objectives:
1. Given a formula of a rational function, report asymptotes and intercepts.
2. For linear cost C(q), write average cost a(q) = C(q)/q
3. Interpret the real world meaning of the asymptotes of an average cost function.

Due Friday, 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 02-- Section 1.1 and 1.2
Due Friday, January 31, 11:59 pm: My Math Lab HW 03-- Section 2.1 and 2.2
Due Wednesday, Feb. 5, 11:59 pm: My Math Lab HW 04-- Section 2.3
Friday, January 31 Average Cost Handouts:  Nonlinear Cost
                 Average Cost to Produce a Drug Part 2 - Horizontal and Vertical Asymptotes
                 Average Cost Represented as the Slope of a Line Through the Origin

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.
4. Use transformations to construct the formula of a function if given its graph.

Due tonight, Friday, January 31, 11:59 pm: My Math Lab HW 03 -- Section 2.1 and 2.2
Due Wednesday, Feb. 5, 11:59 pm: My Math Lab HW 04 -- Section 2.3

QUIZ 2 on Section 2.1 & 2.2 on Monday, Feb. 3.

Test 1 over 1.1 & 1.2 and 2.1-2.3 in Math Test Center (KT G19), Thurs. Feb. 6 to Tuesday, Feb. 11.
See review sheet on BB.

Class meeting Topic Assignment
Monday, Feb. 3 Exponential and Logarithmic Functions and Applications Today's Objectives:
1. If given an exponential formula, report the growth factor and percent growth rate (or decay factor and percent decay rate). Know their general shape.
2. Write formulas of exponential formulas if given the percent growth rate.
3. Solve an exponential equation with logarithms.
4. Use a logistic equation to model cumulative total sales.

Due Wednesday, Feb. 5 (optional)
 For practice: Section 2.4 -- 3, 4, 7, 8, 41 and 2.5 -- 60

QUIZ 3 on Section 2.3 on Wednesday, Feb. 5.

Test 1 over 1.1 & 1.2 and 2.1-2.3 in Math Test Center (KT G19), Thurs. Feb. 6 to Tuesday, Feb. 11.
See review sheet on BB.

Due Wednesday, Feb. 5, 11:59 pm: My Math Lab HW 03-- Section 2.3
Due Monday, February 17, 11:59 pm: My Math Lab HW 04-- Section 2.4
Wednesday, Feb. 5
Mathematics of Finance

 

 Handout: Dueling Companies

Today's Objectives:
1. Write formulas of exponential formulas if given the percent growth rate.
2. Compare two companies whose sales are growing exponentially using the effective rate


Due Monday, Feb. 10 (optional)
 For practice: 2.6 --9, 10 and Chapter 2 Review -- 76, 98, 103
Test 1 over 1.1 & 1.2 and 2.1-2.3 in Math Test Center (KT G19), Thurs. Feb. 6 to Tuesday, Feb. 11.
See Review sheet on BB for details. 

Due tonight, Wednesday, Feb. 5, 11:59 pm: My Math Lab HW 04-- Section 2.3
Due Monday, February 17, 11:59 pm: My Math Lab HW 05 -- Section 2.4-2.6
Friday, Feb. 7
No official class meeting, however....
 		 ... I will be in our classroom KT 123 to answer questions. Remember to go to the Math Test Center for Test 1. See Review sheet on BB for details. 
Class meeting Topic Assignment
Monday, Feb. 10 Average Rate of Change Handouts: Cumulative Total Sales
                 Average Rate of Change

Today's Objectives:
1. Find the vertical intercept and the horizontal asymptote of a model for cumulative total sales.
2. Find and interpret the average rate of change as the slope of the secant line.

 Due Wednesday, Feb. 5 (optional)
For practice: Section 3.3 -- 1-8  and Supplement Text (on BB in eText folder) Business Calculus Chapter 2 Section 1: 5-7

Test 1 over 1.1 & 1.2 and 2.1-2.3 in Math Test Center (KT G19), today and Tuesday, Feb. 11.
See review sheet on BB.

Due Monday, February 17, 11:59 pm: My Math Lab HW 04-- Section 2.4-2.6
Due Wednesday, February 19, 11:59 pm: My Math Lab HW 05-- Average Rate of Change
Wednesday, Feb. 12 The Derivative at a Point: Instantaneous Rate of Change and the Slope of the Tangent Line

 

 

 Handout:  Average Rate of Change vs Instantaneous Rate of Change

Today's Objectives:
1. Find the instantaneous rate of change using a grapher. For help with this click HERE.
2. Interpret the meaning of the instantaneous rate of change. Compare with the average rate of change.

 Due Friday, Feb. 14 (optional)
For practice: Section 3.3  9 - 18 (use TANGENT Line feature on a grapher) and Supplement Text (on BB in eText folder) Business Calculus Chapter 2 Section 1: 5-7

Test 1 over 1.1 & 1.2 and 2.1-2.3 in Math Test Center (KT G19) by end of today.
See review sheet on BB.

Due Monday, February 17, 11:59 pm: My Math Lab HW 04 -- Section 2.4-2.6
Due Wednesday, February 19, 11:59 pm: My Math Lab HW 05 -- Average Rate of Change 
Due Wednesday, February 19, 11:59 pm: My Math Lab HW 06 -- Instantaneous Rate of Change 
Friday, Feb. 14  

 

One-Sided Limits and Continuity
 

 

 

 Handouts:  Railway of Disrepute
                 Limit of a Function at a Value (Lial, Section 3.1) and Continuity (Lial, Section 3.2)

Learning Objectives:
1. Find a limit as x approaches a value from the left or the right.
2. Given a graph, determine values of x where a function is not differentiable.
3. Given a graph, determine values of x where a function is not continuous.

Due Monday, Feb. 17 (optional)
For practice: Section 3.1 -- 1-11 and Section 3.2 1-6
Supplement Text (on BB in eText folder) Business Calculus Chapter 2 Section 2

Due Monday, February 17, 11:59 pm: My Math Lab HW 05 -- Section 2.4-2.6
Due Wednesday, February 19, 11:59 pm: My Math Lab HW 06 -- Average Rate of Change (3.3)
Due Wednesday, February 19, 11:59 pm: My Math Lab HW 07 -- Instantaneous Rate of Change (3.3)
Due Monday, February 24, 11:59 pm: My Math Lab HW 08 -- Limits and Continuity (3.1 & 3.2) 
Class meeting Topic Assignment
Monday, Feb. 17 The Graph of the Derivative Function Handouts:  A Velocity Time Graph
                 The Infamous Ride of Miss Almira Gulch

Today's Objectives:
1. Use a graph of a function to find information about its derivative.
2. Sketch or identify the graph of a derivative from the graph of a function.

 We explored the connection between the graph of a function and its derivative.
Here is a video which depicts Miss Gulch Riding From Her House to Dorothy's Farm (and Back).
See the accompanying handout on BB in the folder In-Class Activities and Handouts.

Due Wednesday, Feb. 19 (optional)
For practice: Section 3.4 -- 1-10, 35-41, 59 and Section 3.5 -- 1-17, 19, 23 odd

Due tonight, Monday, February 17, 11:59 pm: My Math Lab HW 05-- Section 2.4-2.6
Due Wednesday, February 19, 11:59 pm: My Math Lab HW 06 -- Average Rate of Change (3.3)
                                                                    My Math Lab HW 07 -- Instantaneous Rate of Change (3.3)
Due Monday, February 24, 11:59 pm: My Math Lab HW 08 -- Limits and Continuity (3.1 & 3.2) 
Due Wednesday, February 26, 11:59 pm: My Math Lab HW 09 -- The Graph of the Derivative (3.4 & 3.5)

QUIZ 4 on Section 2.4-2.6 (See MML HW05) on Wednesday, Feb. 19.
Wednesday, Feb. 19 The Derivative as a Rate Today's Objectives:
1. Interpret the meaning of the derivative in practical terms.
2. Report the units of a derivative of a function with respect to its independent variable.

For practice: Section 4.1 -- 1-4, 23-25. 29-32
Supplement Text (on BB in eText folder) Business Calculus Chapter 2 Section 4

Due Wednesday, February 19, 11:59 pm: My Math Lab HW 06 -- Average Rate of Change (3.3)
Due Wednesday, February 19, 11:59 pm: My Math Lab HW 07 -- Instantaneous Rate of Change (3.3)
Due Monday, February 24, 11:59 pm: My Math Lab HW 08 -- Limits and Continuity (3.1 & 3.2) 
Due Wednesday, February 26, 11:59 pm: My Math Lab HW 09 -- The Graph of the Derivative (3.4 & 3.5)

 QUIZ 5 over MML HW06 & HW 07 on Friday, Feb. 21.
Friday, Feb. 21 Finding Derivative Formulas (4.1)

Today's Objectives:
 1. Find the derivative y ' of a constant function y = f(x) = c.
2. Find the derivative y ' of a linear function y = f(x) = mx + b.
3. Find the derivative y ' of a power function y = f(x) = xn.
4. Find the derivative y ' of a constant multiple y = k·f(x).
5. Find the derivative y ' of a sum or difference of functions y = f(x) + g(x) − h(x)

For practice (optional): Section 4.1 -- 1-4, 23-25. 29-32
Supplement Text (on BB in eText folder) Business Calculus Chapter 2 Section 5
Due Monday, February 24, 11:59 pm: My Math Lab HW 08 -- Limits and Continuity (3.1 & 3.2) 
Due Wednesday, February 26, 11:59 pm: My Math Lab HW 09 -- The Graph of the Derivative (3.4 & 3.5)
 Due Friday, February 28, 11:59 pm: My Math Lab HW 10  -- Finding Derivatives of Polynomials (4.1)
Class meeting Topic Assignment
Monday, Feb. 24  Marginal Analysis (4.1) Today's Objectives:
1. Use the power rule to find the derivative of a function containing negative and/or rational exponents.
2. Perform marginal analysis with Cost, Revenue, and Profit functions.

For practice (optional): Section 4.1 -- 5-19, 26, 34, 47, 51-54, 56
Supplement Text (on BB in eText folder) Business Calculus Chapter 2 Section 5

Due Monday, February 24, 11:59 pm: My Math Lab HW 08 -- Limits and Continuity (3.1 & 3.2) 
Due Wednesday, February 26, 11:59 pm: My Math Lab HW 09 -- The Graph of the Derivative (3.4 & 3.5)
 Due Friday, February 28, 11:59 pm: My Math Lab HW 10  -- Finding Derivatives of Polynomials (4.1)
Due Monday, March 2, 11:59 pm: My Math Lab HW 11 -- Marginal Analysis (4.1)

Test 2 over Section 2.4-2.6, Chapter 3, and Section 4.1 in Math Test Center next week beginning Monday, March 2 to Fri., March 6. No class meeting Friday, March 6.
Wednesday, Feb. 26 Differentiation of ex and ln x

Learning Objectives:
1. Take the derivative of a function containing ex and or ln x.
2. Distinguish an exponential function ex from a power function xe and x2, etc.

For practice (optional):
Supplement Text (on BB in eText folder) Business Calculus Chapter 2 Section 5

Due tonight, Wed., Feb. 26, 11:59 pm: My Math Lab HW 09 -- The Graph of the Derivative (3.4 & 3.5)
Due Friday, February 28, 11:59 pm: My Math Lab HW 10  -- Finding Derivatives of Polynomials (4.1)
Due Monday, March 2, 11:59 pm: My Math Lab HW 11 -- Marginal Analysis (4.1)

Quiz 6 over MML HW08 & 09 on Friday, Feb. 28

Test 2 over Section 2.4-2.6, Chapter 3, and Section 4.1 in Math Test Center next week
beginning Monday, March 2 to Fri., March 6.

No class meeting Friday, March 6.
Friday, Feb. 28 The Derivative of y = ekx and the Product Rule

Learning Objectives:
1. Take the derivative of y = ekx .
2. Use the product rule to find the derivative of f(x) = u(x)·v(x).

For practice (optional):
Supplement Text (on BB in eText folder) Business Calculus Chapter 2 Section 5 or Section 4.2 -- 1, 2, 7, 8 or Section 4.4 -- 1-4, 37, 40, 45, 46, 62

Due Friday, February 28, 11:59 pm: My Math Lab HW 10  -- Finding Derivatives of Polynomials (4.1)
Due Monday, March 2, 11:59 pm: My Math Lab HW 11 -- Marginal Analysis (4.1)

Quiz 7 over MML HW10 & 11 on Monday, Mar. 2

Test 2 over Section 2.4-2.6, Chapter 3, and Section 4.1 in Math Test Center next week beginning Monday, March 2 to Fri., March 6.

No class meeting Friday, March 6.
Class meeting Topic Assignment
Monday, Mar. 2 The Derivative of A = Pekt Learning Objectives:
Use the derivative of y = ekx in applications involving continuous compound interest

 Due tonight, Monday, March 2, 11:59 pm: My Math Lab HW 11 -- Marginal Analysis (4.1)

Test 2 over Section 2.4-2.6, Chapter 3, and Section 4.1 in Math Test Center next week beginning Monday, March 2 to Fri., March 6.

No class meeting Friday, March 6.  (But there is class Wednesday)
Wednesday, Mar. 4 The Quotient Rule

Learning Objective:
 1. Use the quotient rule to find the derivative of f(x) = u(x)/v(x).
2. Simplify an expression containing fractions.


For practice: Section 4.2 -- 11-28, 41-43, 51

Today: Section 4.2-- The Quotient Rule 
One way to remember the quotient rule is to put Heidi in second. More details are on the video below and here.

 


From http://www.foxsports.com/buzzer/story/craziest-moments-in-nfl-history-the-heidi-game-081314  

No class meeting Friday, March 6.  Enjoy Spring Break!
Friday, Mar. 6   No class meeting
Take Test 2 in the Math Test Center, KT G18.
Hours: 9:00 AM- 3:30 PM
Class meeting Topic Assignment
March 9-13 Spring Break No class meetings.
Have a great Spring Break!
Class meeting Topic Assignment
March 16-20 Spring Break Continued
No class meetings.
Take another week off.
We are about to go on safari into the exciting world of online learning.

See my announcement about this on Blackboard.


Rhinos, we are going on safari!

See Blackboard from here forward for learning activities and due dates
Week 9: March 23-29
Week 10: March 30-April 5
Week 11: April 6-12
Week 12: April 13-19
Week 13: April 20-26
Week 14: April 27 - May 3
Week 15: May 4-8  Final Exam Week

This page is on the Web at http://users.pfw.edu/lamaster/ma229/s20ma229.htm