Homework - Math 111: College Math 1 - Summer 2010

 

This is a TENTATIVE outline of the homework for this course. Homework is due every Thursday and most Tuesdays. Journals are due every Tuesday by 11:00 pm. Please email journals to mccaffrc@pdx.edu and include Math 111 and your last name in the subject.

 






Tuesday

Journal

Thursday

Week 1

None

1. What is your math history (what classes have you taken and how recently.)  How did they go?


2. What are your goals for this class? (for example, to pass, to get an A, to prepare for calculus, to finish some requirement)


3.  What do you plan to do to reach those goals?  List at least 2 specific study habits you would like to meet. (For example: attend every class, form a study group for homework and quizzes.)


Remember to email to mccaffrc@pdx.edu by 11:00 pm Tuesday 6/22 and include Math 111 and your last name in the subject line.

Due Thurs. 6/24


*Optional review problems listed at the bottom of the page


PSU MTH 70/95 Placement Assessment (Solutions)

PSU MTH 95/111 Placement Assessment (Solutions)


1.1: Numbers, Data, and Problem Solving pg. 10-13

# 9, 19, 53, 57, 65, 75, 77, 79, 81, 83, 85, 89, 95

 

1.2: Data, Graphs, Graphing Calculators pg. 25-28

#7, 9, 15, 19, 23, 29, 43, 51, 57, 87


Week 2

Due Tues. 6/29

1.3: Intro to Functions pg. 42-45

# 3, 13, 27, 29, 37, 43, 47, 53, 75, 77, 79, 81, 87, 89, 97, 99, 101

 

1.4: Functions and Rate of Change pg. 58-61

#1, 5, 13, 25, 27, 29, 31, 35, 63, 65, 69, 71, 77, 87, (93, 97 postponed to Thursday's homework)


Give a description of function. Your description should include the following:

a) A definition of function written in you own words

b) An example of a function represented by a table

c) An example of a function represented by an equation.

d) the domain and range of b) and c) (Note that b) and c) need not be the same function).

e) And example of a relation that is not a function

Due Thurs. 7/1

2.1: Linear Functions and Regression pg. 82-86

#5, 7, 9, 13, 15, 17, 27, 29, 37, 39, 41, 49

 

NO LONGER DUE! POSTPONED UNTIL NEXT WEEK 2.2: Equations of Lines pg. 99-105

#1, 3, 7, 9, 11, 13, 15, 19, 21, 29, 31, 43, 59, 65, 79, 81, 87


Week 3

CHANGE: DUE TUES 7/4

2.2: Equations of Lines pg. 99-105

#1, 3, 7, 9, 11, 13, 15, 19, 21, 29, 31, 43, 59, 65, 79, 81, 87

Suppose that you turn on your oven and the temperature of your oven is increasing at a

linear rate. You forget to check the temperature of the oven when you turn it on. After

3 minutes the temperature is 136 degrees, and after 7 minutes the temperature is 224

degrees. EXPLAIN YOUR REASONING FOR EACH QUESTION.

a) Write an expression for the temperature of the oven as a function of time.

(BEWARE! The starting temperature of your oven is not 0 degrees!)

b) What is the y-intercept of this function? What does that mean in terms of this real

world situation?

c) What is the domain for this problem? What input values make sense in terms of

this real world situation?

d) How long does it take for the oven to reach 350 degrees (from the time that I

turn on the oven)? Explain how you found that value.


Due Thurs. 7/8

2.3: Linear Equations pg. 118-123

#19, 21, 25, 27, 47, 51, 79, 83, 85, 89

 

2.4: Linear Inequalities pg. 134-139

#1, 3, 9, 11, 15, 21, 27, 37, 41, 63, 69, 70, 87

 

HOMEWORK CHANGE: SHORTENED ASSIGNMENT

 2.5: Piecewise Functions pg. 152-157

#29, 39, 51, 67, 69, 71, 73, 87


Week 4

Due Tues. 7/13

HOMEWORK CHANGE: REMAINING PROBLEMS FROM 2.5

 2.5: Piecewise Functions pg. 152-157

3, 5, 7, 11, 33, , 109


3.1: Quadratics and their Graphs pg 184-189

#1, 3, 5, 9, 11, 15, 17, 39, 41, 47, 51, 55, 65, 69, 81, 83, 109


E-journal Week 4 in pdf form

Due Thurs. 7/15

 

 3.2: Quadratics and their Intercepts pg 201-205

#1, 7, 11, 15, 25, 47, 51, 55, 63, 97, 99, 107


3.4: Transformations of Graphs pg. 228-233

#1, 5, 7, 9, 11, 29, 33, 37, 43, 47, 51, 85, 103, 105


Week 5

Due Tues. 7/20

Worksheet 3 problems 2 and 3 (4 is extra credit)


4.1: Non-Linear Functions pg. 251-256

#1, 3, 5, 13, 15, 69, 71, 75, 81, 97, 103, 121


4.2: Polynomial Representations pg. 268-273

#1, 3, 5, 7, 13, 15, 17, 19, 23, 45, 47, 49, 71, 77


E-Journal Assignment Week 5

Due Tuesday 7/20 by 11:00 pm

The Raging Astronautics were a band that was slightly popular for a short period of time. The number of albums they sold each week is given by the function

A(t) = - 10 t (t-50)

where t is time measured in weeks.

(a) Find A(10) and write a sentence explaining what this means in the situation.


(b) What week did the band sell the most albums?


(c) What was the maximum number of albums sold in that week?


(d) During what time interval did the band sell more than 5,000 albums per week?

Due Thurs 7/22

Midterm Review Packet


SHORTENED HOMEWORK ASSIGNMENT

4.3 PART A: Zeros of Polynomials pg. 288-292

# 35, 37, 41, 53, 71, 73, 83




Week 6

None

E-Journal Assignment Week 6

Due Tuesday 7/27 by 11:00 pm

(a) Give an example of a degree 5 polynomial function in factored form. Explain why it is a degree 5 polynomial.

(b) Rewrite the same polynomial into standard form.

(c) State the domain and range of your polynomial function.

(d) State the x-intercepts of your polynomial and their multiplicities.

(e) State the end-behaviors of your polynomial, and explain how you found them.

(f) State whether your polynomial is odd, even, or neither and how you know.

Due Thurs. 7/29

4.3 PART B: Zeros of Polynomials pg. 288-292

7, 13, 15, 21


4.4: Complex Numbers and Zeros pg. 302-305

#1, 13, 21, 23, 45, 55


4.5: Rational Functions pg. 319-325

#1, 7, 15, 17, 21, 29, 33, 35, 37, 39, 47, 51, 85, 91, 97, 101


Week 7

Due Tues. 8/3


5.1: Combining Functions pg. 375-382

#1, 5, 7, 11, 17, 21, 31, 39, 53, 57, 61, 67, 79, 101, 117


5.2: Inverse Functions pg. 393-399

# 3, 5, 11, 13, 19, 23, 29, 41, 45, 51, 63, 75, 81, 87, 93, 95, 97, 99, 107, 127

 



E-Journal Assignment Week 7

The formula F= (9/5) C + 32 converts a Celsius temperature into an equivalent Fahrenheit temperature.

a) Is this function 1 to 1? How can you tell?

b) Find a formula for the inverse. Explain your work.

c) What does the inverse formula compute? What are the inputs and what are the outputs for the inverse?

d) If a thermometer in Germany said that it was 18 degrees Celsius outside, what would that temperature be in Fahrenheit? How do you know?

e) If body temperature is 98 degrees in Fahrenheit, what is that in Celsius? How do you know?

  Due Thurs. 8/5

pg. R-48 to R-54 in the back of the book

#13, 23, 55, 67, 77, (plus 5 more if needed)


5.3: Exponential Functions pg. 412-418

#3, 7, 11, 19, 21, 25, 27, 29, 37, 41, 43, 47, 57, 59, 61, 69, 73, 79, 83, 93, 99, 105




Week 8

 5.4: Logarithmic Functions pg. 430-435

#3, 7, 11, 17, 19, 25, 27, 29, 37, 51, 59, 65, 73, 125, 129


5.5: Properties of Logarithms pg. 442-443

#1, 3, 5, 23, 31, 37, 49, 89

E-Journal Week 8

Compare and contrast linear functions with exponential functions. Be sure to include at least the following:

(a) Describe the similarities and differences in the graphs of exponential functions and linear functions.

(b) Give an example equation for a linear function and an exponential function. Describe what each of the pieces of the equation mean. (For example, how can one “see” the y-intercept in the equation of a line.)


(c) Describe two situations: one that can only be modeled by a linear function and one that can only be modeled by an exponential equation. Explain why this is the case.

 OPTIONAL: Review Packet


OPTIONAL:

 5.6: Modeling Logarithmic and Exponential Functions pg. 453-456

#1, 5, 11, 17, 23, 31*, 37, 49, 68, 73, 89


* 31 is a challenge problem. If it stumps you, don't worry. It stumped me too at first.







*OPTIONAL REVIEW:

For students who need more help preparing for the Readiness Quiz, here are some optional problems. You may want to spend more time with some sectional than others. The review sections are located in the back of the book. These problems will not be collected. If you are unfamiliar with multiple topics, please consider taking MATH 70 or MATH 95.

 

*R.1: Geometric Shapes pg. R-1

#1, 11, 15, 23, 29, 43, 51, 57, 65

 

*R.2: Circles pg. R-10

#3, 9, 13, 17, 23, 29

 

*R.3: Integer Exponents pg. R-13

#3, 5, 7, 11, 15, 19, 29, 37, 43, 51, 59, 63, 71, 75, 81, 89, 97

 

*R.4: Polynomial Expressions pg. R-20

#3, 7, 13, 17, 31, 47, 49, 55, 59, 65, 69, 77, 97

 

*R.5: Factoring Polynomials pg. R-27

#3, 7, 11, 21, 25, 41, 43, 45, 59, 77, 91, 103, 107

 

*R.6: Rational Expressions pg. R-46

#1, 5, 7, 15, 17, 21, 29, 31, 39, 45, 55, 63, 73

 

*R.7: Radical Notation and Rational Exponents pg. R-53

#1, 3, 5, 17, 33, 51, 55, 61, 67, 75, 77, 85, 93

 

*R.8: Radical Expressions pg. R-62

#3, 9, 21, 35, 57, 63, 69, 89, 97, 101