# Course Syllabus for Basic Mathematics I

**Course Description:
**GEMA 112, Basic Mathematics I, is a course designed for students who plan to
pursue college majors in the

social sciences and humanities. This course cannot be used as an elective for mathematics majors. The course

content has been carefully selected to include basic mathematical concepts, ideas, and procedures which

characterize modern elementary mathematics. Topics include problem solving, irrational numbers, real numbers ,

polynomials, solving linear equations , ratios, proportions, variation, geometry, graphs of linear functions, systems

of linear equations and mathematics of finance.

**Textbook and Software:
**Each student MUST purchase the following textbook:

Blitzer, Robert. THINKING MATHEMATICALLY, 4

^{th}edition. Upper Saddle River, New Jersey: Pearson

Education/Prentice Hall, Inc. 2008. (NOTE: The same textbook will be required again for GEMA 113.)

In addition, each student MUST purchase the following:

MY MATH LAB, Student Access Kit . MY MATH LAB is the online resource

for completing and submitting assignments. Each individual instructor will
determine the amount of usage and

weights of grades obtained through MY MATH LAB and its relationship to other
course requirements and

assignments. Students will not need to purchase a new MYMATHLAB Student Access
Kit for GEMA 113 next

semester.

**Calculator:
**It is also REQUIRED that each student purchase a scientific calculator. Any
brand or manufacturer (e.g.,

CASIO, Texas Instruments, Sharp, etc.) will be sufficient as long as the word "scientific" appears on the calculator.

(A graphing calculator such as TI-83 or TI-84 is acceptable and preferable but not required in this course.)

Calculators may be used but may not be shared on tests, quizzes, or examinations. Cell phone calculator usage

WILL NOT be allowed on during class or on tests.

**Attendance:
**Classroom attendance is MANDATORY. Instructors may penalize any student who
is chronically late or who

exceeds three unexcused absences from a Mon/Wed/Fri class or two unexcused absences from a Tue/Thu or

Mon/Wed class. Instructors may also give bonuses or special opportunities for students who do not exceed the

maximum absence limit. An “EXCUSED ABSENCE” is one in which the student brings an official written medical,

legal or professional excuse to the instructor from an authorized source. All other absences are “unexcused”.

Students who are covered under the American Disability Act
should privately inform the teacher of this fact and

provide supporting documentation so that appropriate instructional and testing
arrangements can be made.

**Classroom Management:**

1. Set all cell phones and pagers to “OFF” or “SILENT”
upon entering the class. (DO NOT set the phone to

“VIBRATE”.) No cell phone communication of any kind will be allowed during class
for any reason.

Text messaging during class is NOT ALLOWED. You ARE NOT to leave the classroom
to answer a cell

phone call. (NOTE: Cell phone calculator usage IS NOT allowed on tests.)

2. Homework WILL NOT be accepted after the due date. There are NO EXCEPTIONS.

3. You should use the restroom PRIOR TO entering the
classroom. Once class has begun, you should

only leave the classroom for an emergency.

4. Class will begin and end as scheduled. If on a rare
occasion you happen to be late, you must enter the

classroom and take your seat silently and without distraction. After 10 minutes,
instructors - at their

discretion - may lock the classroom door and not allow anyone who is late to
enter. Packing up or

leaving class early is also rude and disruptive and will not be permitted.

**KNOWLEDGE, SKILLS, and ABILITIES (KSAs)**

**Knowledge.** Upon successful completion of the course
students will:

Know Polya’s Steps to Problem Solving and differentiate
between inductive and deductive reasoning

Know the order of mathematical operations and the laws of exponents and square
roots

Differentiate natural and whole numbers, integers, rational, irrational numbers
and real numbers; differentiate

prime and composite numbers

Identify point, line, plane, line segment, ray, angle and vertex and different
types of angles and triangles

Define perpendicular, parallel, horizontal, and vertical and relationships of
angles within parallel lines and define

congruent and similar triangles

Know the standard and slope -intercept forms for the equation of a line and

the Cartesian plane

Identify some of the individuals responsible for the development of mathematics
and accomplishments in the

history of mathematics: Euclid, Rene Des Cartes, Pythagoras, Georg Polya

Know basic terminology of simple and compound interest

**Skills. **Upon successful completion of the course students will:

Convert decimal numbers to scientific notation and
vice-versa and simplify mathematical expressions using the

correct order of operations

Write the prime factorization of a natural number and find the GCF and LCM of a
set of natural numbers

Simplify a square root expression and solve a proportion

Use the Pythagorean Theorem to find the missing side of a right triangle and to
solve word problems

Evaluate algebraic expressions with and without a scientific calculator,
multiply two binomials and factor quadratic

trinomials

Solve a quadratic equation by factoring and by using the quadratic formula

Solve and graph linear inequalities in one variable on a number line

Use appropriate angle definitions to evaluate angle measures

Find missing sides of similar triangles and the perimeter, area, and
circumference of geometric figures

Graph straight lines ax + by = c or x = a and y = b and solve systems of linear
equations graphically and by the

addition method

Calculate simple and compound interest present and future values and effective
yields

**Abilities.** Upon successful completion of the course
students will be able to:

Set up and solve algebraic and geometric word problems

Show proficiency in inductive reasoning and mathematical problem solving

Compose a written paper on a mathematical topic using library and internet
references

Evaluation strategies: All knowledge, skill and abilities criteria will be
evaluated by tests, quizzes, in-class activities,

assigned papers, home assignments and other activities determined by the
instructor.

**Additional Course Activities and Requirements:
**The number of class hours listed for each of the following topics is
approximate and flexible. These hours

include teaching, review and testing time as well as time for classroom instruction of MyMathLab. At the

discretion of the professor, each student may be REQUIRED to write essays, develop math newsletters or to type

library research assignments. The grading procedure and weight of the grades of the writing assignments will be

determined by the professor. Each report must include a bibliography of at least three library and two internet

references. The length of the assignments is left to the discretion of the professor; but 3-4 typed (12 pt) pages are

recommended. All work should be paraphrased in your own words and not plagiarized from references. Sketches,

photos, graphs, and diagrams are encouraged but do not count toward the length requirement. No handwritten

papers will be accepted under any circumstances. Some examples of possible topics that may be assigned are as

follows:

**INDIVIDUAL LIBRARY/INTERNET RESEARCH TOPICS**

1. Pythagoras and the Pythagorean Theorem

2. Euclid and Euclidean Geometry

3. Pi: It’s History and Applications

4. The History of Algebra

5. Women in Mathematics

6. Probability and its Uses

7. Sets and Set Theory

8. Statistics and its Uses

9. Logic (Symbolic or Mathematical)

10. The History of Computers

11. The Golden Ratio and Golden Rectangles

12. Special Numbers: Prime, Perfect , Triangular, Amicable or Friendly,
Irrational and Transcendental

13. Rene Descartes and Blaise Pascal

14. The Fundamental Counting Principle, Permutation, and Combination

15. African Americans in Mathematics

16. Transformations and Symmetry: Rotation, Translation, Refection, Contraction,
Inversion and Dilation

17. Mathematics Newsletter

**Topical Outline:**

**All topics from sections 1.1, 1.3, 5.1, 5.2, 5.4, 5.6,
6.1 and 6.2 are to be completed by midterm.** The

midterm examination will be a cumulative test of these topics.

**MyMathLab **Instruction

---------- 1 Class Hour

Chapter 1: 1.1 Inductive and Deductive Reasoning, 1.3 Problem Solving

---------- 5 Class Hours

Chapter 5: 5.1 Number Theory, 5.2 Integers and Order of Operations, 5.4
Irrational Numbers, and 5.6 Exponents

and Scientific Notation

---------- 8 Class Hours

Chapter 6: 6.1 Algebraic Expressions and Formulas and 6.2 Linear Equations in
One Variable

---------- 6 Class Hours

Midterm Exam Review - 1 Class Hour

**Cumulative Midterm Examination - Maximum time 55
minutes (for all MWF and TR sections)**

Following midterm the subsequent course content will be completed:

Chapter 6: 6.3 Applications of Linear Equations and 6.4
Ratio, Proportion and Variation

---------- 3 Class Hours

Chapter 7: 7.2 Linear Functions and Their Graphs and 7.3 Systems of Linear
Equations in Two Variables

---------- 6 Class Hours

Chapter 8: 8.2 Simple Interest and 8.3 Compound Interest

---------- 4 Class Hours

Chapter 10: 10.1 Points, Lines, Planes and Angles, 10.2 Triangles, 10.3 Polygons
and Perimeter (OMIT

Tessellations) and 10.4 Area and Circumference

---------- 7 Class Hours

Final Examination Review - 2 Class Hours

**Final Examination:
The final examination is cumulative of the entire course and MUST be
administered in accordance with the
VSU final examination schedule. Any exceptions must be approved by the Chair of
the Mathematics
Department.
**---------- Maximum time - 2 Hours

**Grading Standards:
**Each student's grade will be determined by the following criteria:

1. Grading Scale

A: 90-100 B: 80-89 C: 70-79 D: 60-69 F: below 60

2. Midterm Grade

The midterm examination will comprise 1/3 of the midterm grade. The average of all other work required by the

professor (including tests, quizzes, home assignments, essays, and research papers) determines the other 2/3.

3. Final Grade

The midterm average will be weighted as 40%. The average of all work after midterm (including tests, quizzes,

home assignments, essays, and research papers) will be weighted as 40%. The final examination will make up the

other 20%.

**Bibliography:
**The following books are recommended references for use at various times
throughout the course. Professors may

assign readings from these or other books for book reports as required or for extra credit.

The Nature of Mathematics, 11th edition, Karl Smith
(Brooks/Cole, 2007)

Mathematical Ideas, 10th edition, Charles Miller, et al (Boston: Addison Wesley
2006)

Mathematics – A Practical Odyssey, 6th edition, Johnson & Mowry (Pacific Grove,
CA: Brooks/Cole 2007)

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