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SPRINGFIELD TECHNICAL COMMUNITY COLLEGE
DIVISION OF MATHEMATICS, SCIENCES, AND
ENGINEERING TRANSFER
TECHNICAL MATHEMATICS I
Course Syllabus
| Instructor: |
Professors Zahi Haddad |
| E-Mail: |
zhaddad@stcc.edu |
| Telephone: |
(413) 755-4679 |
| Course Number: |
Math 132 |
| Date: |
|
| Class Periods: |
4 credits |
| Prerequisite: |
Placement Examination or MM 097 or Equivalent |
| Text: |
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Catalog Description: The first course in a
two-semester sequence of intermediate algebra and trigonometry with technical applications
offered on the Internet. Topics include units of measurement and approximate numbers,
dimensional analysis, fundamental concepts of algebra, functions and graphs, systems of
linear equations, the trigonometric functions, right triangle trigonometry and
applications, vectors, graphs of sinusoidal curves and applications, and complex numbers.
Any standard Texas Instrument scientific calculator will be supported in this course;
however, students intending to take calculus should use either a TI-83 or TI-86 series.
Evaluation: There will be four one-hour
examinations. The last hour examination will contain material covered previously as well
as new topics and will function as the final examination. Homework problems sets will be
available on the Internet. The course grade will be computed as follows:
 | Examination Average |
|
80% |
 | Homework Average |
|
20% |
When students are ready for an examination, they should email the instructors. Once the
instructor emails the examination, the student will have three hours to complete it.
Course Objectives:
Upon completion of this course, students should be able to:
- Perform the fundamental operations (addition, subtraction, multiplication, division)
with algebraic expressions.
- Write polynomials in factored form and perform fundamental operations on rational
expressions..
- Solve equations including linear, rational, quadratic, and literal.
- Use units of measure, approximate numbers, scientific notation, and apply concepts of
dimensional analysis in calculations.
- Define and evaluate trigonometric functions of any angle.
- Analyze and solve applications of right triangles.
- Perform operations with vectors.
- Graph linear, quadratic, rational, sine, and cosine functions.
- Analyze and solve word problems that involve the use of linear and rational equations,
vectors, and functions.
- Perform basic operations with complex numbers.
- Solve systems of linear equations using substitution, graphing, elimination, and
Cramers Rule.
- Read critically.
- Write correctly and effectively.
- Apply appropriate mathematical procedures and quantitative methods.
- Identify and logically analyze problems and issues, and to propose and evaluate
solutions.
Course Pace Guide
The following is intended as a sample guide to pace oneself through the course. Some
students will progress at a faster rate.
| Week |
Main Topic |
Section |
| 1 |
 | Introduction to Calculator |
 | Scientific and Engineering Notation |
 | Approximate Numbers and Units Conversion |
|
|
| 2 |
 | Formulas Evaluation |
 | Dimensional Analysis |
|
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| 3 |
 | Dimensional Analysis |
 | Algebra Review |
|
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| 4 |
 | Linear Equations |
 | Fractional and Literal Equations |
 | Applications of Linear Equations |
|
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| 5 |
 | Examination 1
|
 | Functions and Graphs |
|
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| 6 |
 | Systems of Linear Equations |
|
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| 7 |
 | Determinants |
|
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| 8 |
 | Examination 2
|
 | Introduction to Trigonometry |
|
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| 9 |
 | Introduction to Trigonometry |
|
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| 10 |
 | Imaginary and Complex Numbers |
|
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| 11 |
 | Examination 3
|
 | Graphs of Trigonometric Functions |
|
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| 12 |
 | Graphs of Trigonometric Functions |
|
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| 13 |
 | Quadratic Equations |
|
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| 14 |
 | Review |
|
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| 15 |
 | Examination 4 (Final Examination) |
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