# College algebra

**Instructor:** Prof. Carol Okigbo

**Dept:** Corrick Center for General Education

**Tel:** 477 2188

**Office:** Murray Commons: Room 223H

**Class Meeting Time:** MWF 10:00 a.m.-10:50 a.m.

**Classroom (BD/RM):** MU 223N

**Office Hours:**

Monday & Friday 1:00 p.m. – 4:00 p. m.

Tuesday & Thursday 2:00 p.m. - 4:00 p.m.

**Course Objectives: **The primary objectives for this
class are to help students to:

Develop an understanding of problem solving
strategies and skills necessary for

success in the study of higher-level mathematics.

Build and develop
mathematical critical thinking and reasoning skills necessary

for solving real - life problems.

Master algebraic
concepts and be able to apply them to mathematics encountered

in other disciplines.

Build and develop
sustainable confidence in their ability to solve mathematical

problems and overcome deficiencies in mathematical language.

**Course Description: **The course is designed to provide the algebra you
need to be able

to take higher math courses such as Applied Mathematics, Pre-Calculus or
Trigonometry.

The course will aim at covering the following topics: Exponents, factoring ,
equations and

inequalities , functions, exponential and logarithmic functions, systems of
equations, and

matrices. Prerequisite: MDS 100.

**Text:** Swokowski and Cole (2006). Algebra &Trigonometry with Analytic
Geometry.

Belmont, CA: Thomson Wadsworth.

**Instructional Strategies:** The approach to this course will be interactive
and active

participation of students is required. It will employ a combination of
strategies that will

include use of white board/transparencies/power point presentation, small group
work,

and class discussion.

**
Assessment:** This will consist of a combination of exams, periodical
homework, in-class

activities and work sheets.

**1. Exams**

**In-class exams:**There will be five regular in-class exams and a

comprehensive final exam. The dates for the exams are in the schedule

provided below.

**2. Homework: **There will be some suggested problems
from each section of the

class textbook. Some problems will be selected from the suggested ones and

assigned periodically for grading. Students are required to access them on the

D2L, print them out and hand them in accordingly (as at when due).

3. In-class Activities: Students get five points for each day they come to class
and

participate actively in class activity.

**4. Work Sheets:** In addition to the homework problems I will assign also
assign

worksheets that I have made up. These are supplementary work not covered in

homework. Students should print these out from the D2L, complete them and

hand them in accordingly (as at when due).

**5. Quizzes and Project:** There will be some periodical in-class short
quizzes and at

least one project.

.

**Evaluation:**

**Profile for grade:
**

Final Exam………….………...20% or 200 points

In-class………………………..10% or 100 points

Chapter Exams. ………...…….40% or 400 points

Homework/Worksheet ……….15% or 150 points

Quiz and project………………15% or 150 points

Credits: 2 ……….. 75% or 750 and above

1……….. 60% or 600 - 74% or 740

Below 60% or 600, no credit

**Attendance:**The class is interactive and full attendance is expected. This is the only way

students can get all the 10% or 100 points for in-class.

**Special Needs:**Any student(s) with disabilities who believe they may need an

accommodation in this class are encouraged to contact Greg Toutges, Coordinator of

Disability Services at 477-2652 (phone) or 477-2047 (TTY), CUM 222 as soon as

possible to ensure that accommodations are implemented in a timely fashion.

**Academic Honesty:**All work in this course must be completed in a manner consistent

with MSUM Policy. Academic dishonesty in any form is inconsistent with the university

policy and will not be acceptable. Any verifiable instance of academic dishonesty may

result in a zero on the assignment , reduction of the final credit evaluation, or other

appropriate University action

**Tentative Class Schedule**

Weeks |
Dates |
Monday |
Wednesday |
Friday |

1 | Jan. 8 – 12 | No Class |
1.1 | 1.2 |

2 | Jan. 15 – 19 | No Class |
1.2 | 1.3 |

3 | Jan. 22 – 26 | 1.4 | 1.4 | Exam 1 onChapter 1 |

4 | Jan. 29 – Feb. 2 | 2.1 | 2.2 | 2.2 |

5 | Feb. 5 – 9 | 2.4 | 2.3 | 2.4 |

6 | Feb. 12 – 16 | 2.5 | 2.6 | 2.7 |

7 | Feb. 19 – 23 | 2.7 | Exam on chapter 2 |
3.1 |

8 | Feb. 26 – Mar. 2 | 3.2 | 3.3 | 3.4 |

9 | Mar. 5 – 9 | 3.7 | 3.7 | Exam on chapter 3 |

10 | Mar.12 - 16 | Spring |
Break |
Break |

11 | Mar. 19 - 23 | 5.1 | 5.2 | 5.3 |

12 | Mar. 26 – 30 | 5.4 | 5.5 | 5.5 |

13 | April 2 – April 6 | 5.6 | 5.6 | Exam on chapter 5 |

14 | April 9 - 13 | No Class | 9.1 | 9.2 |

15 | April 16 - 20 | 9.5 | 9.6 | 9.7 |

16 | April 23 - 27 | 9.8 | 9.9 | Exam on Chapter 9 |

17 | April 30 – May 4 | Review for Finals |
Study Day | |

18 | May 7 - 11 | Final Examon Tuesday May 10th @ 12:00 Noon |

**Note: Changes may be made as the semester progresses.**

Section | Selected Homework Problems |

1.1 | 2, 4, 6, 12, 14, 18, 22, 26, 28, 30, 34, 36, 38, 40, 50, and 52 |

1.2 | 4, 6, 8, 14, 16, 18, 22, 28, 32, 42, 44, 48, 50,
54, 60, 64, 70, 74, 78, 82, 84, 86, 88, and 90 |

1.3 | 2, 4, 6, 10, 14, 18, 22, 30, 34, 36, 40, 44, 52,
56, 60, 66, 78, 84, 88, 90, 94, 98, and 102 |

1.4 | 4, 6, 8, 12, 18, 22, 26, 30, 32, 36, 42, 46, 52, 58, 62, 68, 72, 76, 80 |

2.1 | 6, 10, 12, 14, 16, 20, 22, 26, 34, 38, 42, 48, 52, 62, 68 |

2.2 | 2, 4, 6, 12, 14, 16, 18, 20, 22, 24, 26, 28, 31, 32, 34 |

2.3 | 4, 12, 16, 18, 20, 24, 26, 28, 34, 36, 38, 42, 44, 46, 48, 52, 54, 59, 64, and 70 |

2.4 | 2, 4, 12, 16, 18, 20, 24, 26, 32, 34, 36, 38, 42, 44, 46, 48, 52, 54 |

2.5 | 4, 6, 8, 12, 20, 28, 43, 40, 42, 46, 48, 50, 52, 54, 58, 60 |

2.6 | 4-20 evens, 24, 30, 32, 34, 40, 42, 44, 46, 48, 50, 56, 60, 62, 70, 80 |

2.7 | 2, 4, 10, 14, 20, 22, 26, 30, 34, 38, 48 |

3.1 | 12, 16, 18, 20, 26, 30 |

3.2 | 2, 4, 6, 8, 16, 18, 20, 24, 26, 28, 30, 32, 34, 38, 42, 44, 46, 48, 52, 56 |

3.3 | 4, 6, 12, 14, 18, 20, 24, 28, 30, 32, 34, 36, 40, 42, 44, 46, 48, 54, 60 |

3.4 | 2, 4, 10, 12, 14, 16, 18, 20, 22, 26, 28, 30, 34, 36, 38, 42, 48, 58, 72 |

3.7 | 2, 4, 6, 8, 10, 12, 14, 18, 20, 22, 26, 28, 32, 34, 38, 48, 52, 58, 60 |

3.7 | 2, 4, 6, 8, 10, 12, 14, 18, 20, 22, 26, 28, 32, 34, 38, 48, 52, 58, 60 |

5.1 | 2, 6, 10, 14, 18, 20, 22, 24, 26, 30, 34, 38, 42, 44, 48, 50 |

5.2 | 2, 4, 6, 8, 10, 12, 18, 22, 26, 28, 30, 32, |

5.3 | 2, 4, 6, 8, 10, 12, 14, 16, 18, 22, 28, 46, 48, 52, |

5.4 | 2, 8, 10, 12, 14, 20, 22, 28, 30, 32, 34, 50, 56, 60 |

5.5 | 2, 4, 12, 18, 20, 22, 28, 34, 40, 46, 48, 52, 58, 60, 64 |

9.1 | 2, 4, 12, 18, 20, 22, 28, 30, 40, 44, 46, 48, 52, 58, 60 |

9.2 | 4. 8, 10, 12, 14, 18, 20, 24, 30, 32, 36, 40 |

9.5 | 2, 4, 10, 16, 18, 22, 32 |

9.6 | 2, 6, 12, 14, 16, 18, 22, 26, 40 |

9.7 | 2, 6, 10, 16, 18, 20, 22, 24 |

9.8 | 2, 4, 10, 14, 16, 18, 20, 24, 26, 28, 32, 34, 36, 38, 40, 46, 44, 48 |

9.9 | 2, 4, 6, 8, 10, 14, 18, 20, 22, 24, 26, 28, 34, 36, 38, 40, 42 |

**MDS 123 Sample Exam**

Answer all questions in the spaces provided. Use interval
notation where appropriate. Use

other correct notations where necessary and check your work whenever possible.

1. Suppose Simplify

2. Given the piecewise function defined by

Find:

a) h(5),

b) h(-1)

c) h(2)

d) h(3)

e) h(0)

3. Write the domain of the each function in interval notation.

4. Complete the following table. Don’t approximate anything.

x | 1/2 | 1 | 81 | ||

-2 | 5 |

5. Solve the following equations. Show your work in each
case. Give algebraic

solutions rather than graphical solutions. Leave your answers in exact form
(don’t

approximate).

6. Suppose f is a linear function such that f (1) = 3.
Suppose also that g is the inverse

function for f and that g(4) = -2. Find the rule of f (x).

7. The table below shows the air temperature at various times during a spring
day in

Gainesville Florida

Time | 6 a.m. | 8 a.m. | 10 a.m. | noon | 2 p.m. | 4 p.m. | 6 p.m. |

Temp (°F) | 52 | 61 | 72 | 86 | 83 | 72 |

a) Determine the appropriate model ( linear , quadratic,
exponential, etc.) that

gives air temperature, y, as a function of time of day, x, with x = 0

corresponding to midnight. Use the regression capabilities of your

calculator to find the model to choose. If necessary, round coefficients to

three decimal places . What led you to choose the model you chose?

b) Using the mode you chose above, what is the predicted temperature at 10

p.m.

8. It has been suggested that brain cells perish in an exponential manner during

finals week. Suppose that at the beginning of the week Ann has 18 million

living brain cells, but after one day has passed he only has 17.6 million living

cells. Let x denote the number of days since the start of finals week, and let

f(x) denote the number of living brain cells (in millions) Ann has after x days.

For the following problems, give at 4 decimal places of accuracy.

a) write f(x) in the form f(x) = Pa^{x}

b) Write f(x) in the form f(x) = Pe^{kx
}

9. The following statements are false, give a specific example that shows why

each statement is wrong.

b) The graph of a quadratic function has at least one x- intercept .

10.The graphs to the right completely

define two functions f and g. Assume

that gridlines mark one unit. Give

your best estimates when

appropriate. **There are no arrows.**

a) Give the intervals where

g (x) < f (x).

b) Compute (g o f )(-4)

c) Find the value (s) of x such

that g (x ) = 2

d) Give the interval(s) where

f (x) is increasing.

11. Perform the indicated operations:

b) Subtract:

12. Solve the system using Cramer’s rule:

13. Solve:

14. Simplify and write all answers as positive exponents

15. Simplify:

17. Sketch the graph of a function g that satisfies all of
the following conditions. Use

the grid provided to the right, and assume that gridlines mark one unit.

a) The domain of g is [-3, 5]

b) The range of g is [-2, 4]

c) g(x) is increasing only on the interval [-1, 0]

d) The average rate of change of g(x) between

x = -1 and x = 1 is 3/2

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