# Intermediate Algebra Syllabus

__ Course Title: __Intermediate Algebra (3 credits)

__ Course #:__ MAT* 137

**Description:**

An extremely rigorous course in Intermediate Algebra
intended for Math, Science,

Engineering, Nursing, Teacher Preparation, and Business majors or for those
students

whose future coursework includes algebra-based courses such as upper-level
Chemistry

or Calculus. It has a minimal review of Elementary Algebra. Those needing a more

extensive review of Elementary Algebra (due to a period of time elapsing since

completing that course) should retake MAT* 095 (Elementary Algebra Foundations);

those needing a more general Math course, or additional Math preparation after

completing Elementary Algebra (e.g. for those with a grade in the C range in
MAT*

095 – Elementary Algebra Foundations), should strongly consider MAT* 135 (Topics

in Contemporary Math) prior to taking Intermediate Algebra.

Topics include: polynomial and rational expressions,
exponents and radicals, complex

numbers, linear, quadratic, literal, absolute value, and radical equations,
systems of

linear equations, linear and absolute value inequalities, graphing linear and
quadratic

functions, functional notation, exponential and logarithmic functions, binomial

theorem, and applications.

This course counts as a Math elective towards graduation
(but does not transfer as a

Math course to most 4-year colleges).

**Pre-requisite:**

A grade of C- or better in MAT* 095 Elementary Algebra
Foundations (B- or better

strongly recommended), or satisfactory grade on the Mathematics placement test
(score

of 58 or better on Accuplacer Elementary Algebra test within the past 6 months).

A knowledge of the following topics is indicated by
completion of the above required

prerequisite:

1. Number system development (natural numbers, integers, rational numbers,

irrational numbers, real numbers).

2. Concepts of terms vs. factors, expressions vs. equations.

3. Computations with negative numbers (including absolute value).

4. Simplifying algebraic expressions.

5. Solving linear equations.

6. Computations with algebraic fraction expressions.

7. Solving algebraic fraction equations.

8. Solving and graphing linear inequalities.

9. Graphing linear equations (including “table of values” method).

10. Solving systems of linear equations in 2 variables.

11. Computations with polynomials (including “FOIL” technique).

12. Factoring polynomials (including greatest common factor, “factor by

grouping”, “ac method”, and difference of 2 squares).

**Pre-requisite:**

13. Computations with integer exponents.

14. Simplifying square roots.

15. Solving quadratic equations (by factoring, “square root method”, and

quadratic formula).

**Goals:**

1. To further develop individual responsibility and
respect for rules and

regulations, and a more advanced ability to be organized and follow a

detailed regimen.

2. To further develop analytical reasoning and critical thinking skills that
will

enhance more advanced problem solving capabilities.

3. To develop intermediate algebra skills that will allow the study of a variety

of more advanced Mathematical topics

**Outcomes:**

Upon successful completion of this course each student
must have demonstrated

understanding and competency in each of the following topics and techniques
(thru inclass

testing of each individual student independently):

1. Understanding basic concepts of set theory (subset,
intersection, union).

2. Understanding of number system development (natural numbers, integers,

rational numbers, irrational numbers, real numbers, complex numbers).

3. Doing computations with integers (including absolute value).

4. Simplifying algebraic expressions.

5. Solving linear equations (including word problem applications – consecutive

integer, rectangle perimeter, d=rt).

6. Solving and graphing linear inequalities.

7. Solving literal equations (i.e. equations in several variables).

8. Solving absolute value equations.

9. Solving and graphing absolute value inequalities.

10. Simplifying and doing computations with polynomials (including division of

polynomials).

11. Factoring polynomials (including greatest common factor, “factor by

grouping”, “ac method”, difference of 2 squares, sum and difference of 2

cubes).

12. Simplifying and doing computations with algebraic fraction expressions

involving factoring (including complex fractions).

13. Solving algebraic fraction equations (including word problem applications –

reciprocals, work).

14. Simplifying and doing computations with integer exponents and rational

exponents.

15. Simplifying and doing computations with radical expressions.

16. Solving radical equations.

17. Simplifying and doing computations with complex numbers.

18. Understanding functions (including domain & range, function notation).

19. Graphing linear and non-linear functions – using “table of values” (“pen &

paper”) method.

20. Understanding concept of slope (including slope formula, slope-intercept

form, point-slope form).

**Outcomes:**

21. Graphing linear inequalities in 2 variables.

22. Understanding of variation (including word problem applications – falling

objects).

23. Graphing and studying parabolas (including “completing the square”

technique).

24. Solving quadratic equations (by factoring, “square root method”, and

quadratic formula – in radical, non-decimal, format) – including word

problem applications (rectangle area, triangle area, pythagorean theorem).

25. Solving equations in quadratic form.

26. Solving and graphing quadratic inequalities.

27. Solving systems of equations in 2 and 3 variables (by substitution and

elimination) – including word problem applications (coins, ticket sales).

28. Understanding inverse functions.

29. Graphing exponential functions and solving exponential equations.

30. Understanding logarithmic function and being able to interchange

exponential and logarithmic notation.

31. Solving logarithmic equations.

32. Understanding basic binomial expansion (binomial theorem, Pascal’s

triangle).

**College Policies**

**Plagiarism: **Plagiarism and Academic Dishonesty are
not tolerated at Northwestern Connecticut

Community College. Violators of this policy will be subject to sanction. Please
refer to your “Student

Handbook” under “Policy on Student Rights”, the Section entitled “Student
Discipline”, or the College

catalog for additional information.

**Americans with Disabilities Act (ADA):** The College
will make reasonable accommodations for

persons with documented learning, physical, or psychiatric disabilities.
Students should notify Roseann

Dennerlein, the Counselor for Students with Disabilities. She is located at
Green Woods Hall, in the

Center for Student Development.

**Class cancellation information: **If snowy or icy driving conditions cause
the postponement or

cancellation of classes, announcements will be made on local radio stations.
Student may also call the

College directly at (860) 738-6464 to hear a recorded message concerning any
inclement weather

closings. Students are urged to exercise their own judgment if road conditions
in their localities are

hazardous.