*Patterns
in Math, Spring 2016*

*Math
12, Section 2*

*MWF
12.10-1pm, DGH 136*

*UPDATE
PAGE WITH INFORMATION FOR EACH CLASS*

HOWARD UNIVERSITY

Department of Mathematics

Course: Patterns in Math (3 credits)

**COURSE DESCRIPTION: **This course teaches some basic concepts of
mathematics. We will present some applications from fields such as finance,
environmental science, social science, etc., It
will use online (Webwork)
assignments as well as videos made using Tegrity.

**REQUIRED TEXT**:
No textbook is required but you can use any College Algebra book as
reference. Class material will be posted on the update
page for you to download and study.

**COURSE GOALS: **

1.
To enable
the student to apply his or her knowledge of linear, quadratic, exponential,
and logarithmic functions and their graphs, counting methods (permutations and
combinations), basic probability theory and statistics, and arithmetic and
geometric sequences to real world problems concerning finance, the environment,
etc.,

**STUDENT LEARNING OBJECTIVES: ** On
completion of the course, students should be able to

á
Interpret
and use graphs of polynomial, exponential and logarithmic functions arising in
real world.

á
Able to use
counting methods to find probability.

á
Interpret
and apply probability theory to simple questions.

á
Apply the
compound interest formula for geometric sequences to the problems in finance.

á
Describe the
basic math and science of energy conservation, solar and wind energy
production, and demonstrate simple computations
involving these principles.

**PREREQUISITE: **A
satisfactory grade in College Algebra I.

Instructor: Sankar
Sitaraman

**EVALUATION**:

2
one hour exams 100 each Total 200

Assignments Total 200

Final
Exam 200 pts Total 200

Grand
Total 600

**HOMEWORK**

** **There will be almost daily homework
assignments. There will be two types of HW: First type of HW is posted on
Update page to be submitted on paper or via email. The second type is posted on
the online testing system based at HU named Webwork
(link to be posted soon). It is your responsibility to do them by the due date.
You can get help from others as well as from me but make sure you understand
what you are doing. Otherwise you are guaranteed to do poorly in the tests and
the final exam. Each will be 15 points and there will be more than 14 of them
so that you can get extra credit. A total of more than 200 from the homeworks will help you get extra credit and compensate for
any poor performance in the tests.** **

**Syllabus**

The approximately 40 class
meetings will be divided as follows:

3 exams with 3 days for review
for each exam.

34 lectures

*Course material*:

**Functions**: (8 lectures)

Linear and
quadratic functions and modeling real world problems and graphing them.

Exponential
functions and Logarithmic functions, their graphs and applications.

**Sequences: **(8 lectures)

Arithmetic
and Geometric sequences

Writing the
general term and Adding the first n terms.

Applications.

**Counting methods: **(8 lectures)

Counting
number of ways an event can happen.

Permutations
and Combinations, Binomial expansions.

Applications.

**Probability and Statistics: **(10 lectures)

Computing
probability using counting methods.

Measures of Central
tendencies: Mean, Median, Mode.

Measures of
Variation: Variance and Standard deviation.

Binomial and
Normal distributions.

**Academic Code of Student Conduct (please
see Howard University handbook):**

No copying, unauthorized use of calculators, books, or other materials, or
changing of answers or other academic dishonesty will be tolerated. Cheating
will not be tolerated. Anyone caught cheating will receive an F for the course
and may be expelled from the university.

AMERICAN DISABILITIES ACT: Howard University is committed to providing an
educational environment that is accessible to all students. In accordance with
this policy, students in need of accommodations due to a disability should
contact the Office of the Dean for Special Student Services (202-238-2420,
bwilliams@howard.edu) for verification and determination of reasonable
accommodations as soon as possible after admission and at the beginning of each
semester as needed.

**Statement on Interpersonal Violence:** Howard University takes sexual
assault, dating violence, domestic violence, stalking and sexual harassment
seriously. If a student reveals that he or she needs assistance with any of these
issues, all responsible employees, including faculty, are required to share
this information with the University Title IX Office (202-806-2550) or a
student can be referred for confidential services to the Interpersonal Violence
Prevention Program (IVPP) (202-238-2382) or the University Counseling Services
(202-806-6870). For more information, please go to
www.CampusSafetyFirst.Howard.Edu