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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:  

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:

bulletExamination Average
80%
bulletHomework 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:

  1. Perform the fundamental operations (addition, subtraction, multiplication, division) with algebraic expressions.
  2. Write polynomials in factored form and perform fundamental operations on rational expressions..
  3. Solve equations including linear, rational, quadratic, and literal.
  4. Use units of measure, approximate numbers, scientific notation, and apply concepts of dimensional analysis in calculations.
  5. Define and evaluate trigonometric functions of any angle.
  6. Analyze and solve applications of right triangles.
  7. Perform operations with vectors.
  8. Graph linear, quadratic, rational, sine, and cosine functions.
  9. Analyze and solve word problems that involve the use of linear and rational equations, vectors, and functions.
  10. Perform basic operations with complex numbers.
  11. Solve systems of linear equations using substitution, graphing, elimination, and Cramer’s Rule.
  12. Read critically.
  13. Write correctly and effectively.
  14. Apply appropriate mathematical procedures and quantitative methods.
  15. 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
bulletIntroduction to Calculator
bulletScientific and Engineering Notation
bulletApproximate Numbers and Units Conversion
2
bulletFormulas Evaluation
bulletDimensional Analysis
3
bulletDimensional Analysis
bulletAlgebra Review
4
bulletLinear Equations
bulletFractional and Literal Equations
bulletApplications of Linear Equations
5
bullet

Examination 1

bulletFunctions and Graphs
6
bulletSystems of Linear Equations
7
bulletDeterminants
8
bullet

Examination 2

bulletIntroduction to Trigonometry
9
bulletIntroduction to Trigonometry
10
bulletImaginary and Complex Numbers
11
bullet

Examination 3

bulletGraphs of Trigonometric Functions
12
bulletGraphs of Trigonometric Functions
13
bulletQuadratic Equations
14
bulletReview
15
bulletExamination 4 (Final Examination)