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Course Outline for Technical Mathematics II

COURSE DESCRIPTION (750 characters, maximum):

This is the second course in a two term sequence for technology majors. Topics include systems of linear equations , quadratic equations, right triangle, trigonometry, oblique triangle, vectors, and polar coordinates. Credit will not be given for both this course and MAC 1133. This course is not recommended for transfer students.

General Education Requirements – Associate of Arts Degree (AA), meets Area(s): Area
General Education Requirements – Associate in Science Degree (AS), meets Area(s): Area
General Education Requirements – Associate in Applied Science Degree (AAS), meets Area(s): Area

UNIT TITLES

1 Systems of Linear Equations

2 Factoring and Fractions

3 Roots and Radicals

4 Quadratic Equations and Complex Numbers

5 Logarithms

6 Trigonometry

7 Analytic Geometry

Common Course Number: MTB 1321
UNITS

Unit 1 Systems of Linear Equations
  General Outcome:
1.0 The students should be able to solve systems of linear equations.
  Specific Measurable Learning Outcomes:
  Upon successful completion of this unit, the student shall be able to:
1.1 Solve systems of linear equations by graphing.
1.2 Solve systems of linear equations by eliminations and substitution.
1.3 Solve systems of linear equations determinants.
1.4 Solve problems involving systems of linear equations
   
Unit 2 Factoring and Fractions
  General Outcome:
2.0 The students should be able to factor and reduce expressions and be able to add, subtract, multiply and divide algebraic fractions.
  Specific Measurable Learning Outcomes:
  Upon successful completion of this unit, the student shall be able to:
2.1 Recognize the square of a binomial .
2.2 Recognize the product of a sum and difference.
2.3 Factor the difference of two squares .
2.4 Reduce algebraic expressions containing fractions.
2.5 Add and subtract algebraic fractions.
   
Unit 3 Roots and Radicals
  General Outcome:
3.0 The students should be able to simply radical expressions .
  Specific Measurable Learning Outcomes:
  Upon successful completion of this unit, the student shall be able to:
3.1 Find roots of given numbers.
3.2 Simplify radicals.
3.3 Add and subtract radicals.
3.4 Multiply and divide radicals.
3.5 Multiply binomials containing radicals.
   
Unit 4 Quadratic Equations and Complex Numbers
  General Outcome:
4.0 The students should be able to solve and graph quadratic equations.
  Specific Measurable Learning Outcomes:
  Upon successful completion of this unit, the student shall be able to:
4.1 Solve quadratic equations by factoring.
4.2 Solve quadratic equations by completing the square.
4.3 Solve quadratic equations using the quadratic formula.
4.4 Graphic quadratic functions and to determine the nature of zeros of a quadratic by using the discriminant.
4.5 Solve quadratic equations having solutions which are complex numbers.
4.6 Add, multiply, subtract and divide complex numbers.
4.7 Express complex numbers, polar, rectangular and exponential forms . Add, subtract, multiply and divide complex numbers in these forms.
   
Unit 5 Logarithms
  General Outcome:
5.0 The students should be able to perform computations involving logarithms.
  Specific Measurable Learning Outcomes:
  Upon successful completion of this unit, the student shall be able to:
5.1 Express numbers given in exponential form in logarithmic form and vice versa.
5.2 Use a hand held calculator to compute logarithms and antilogarithms.
5.3 Use the properties of logarithms to simplify expressions and solve logarithmic and exponential equations.
   
Unit 6 Trigonometry
  General Outcome:
6.0 The students should be able to demonstrate required skills in trigonometry
  Specific Measurable Learning Outcomes:
  Upon successful completion of this unit, the student shall be able to:
6.1 Convert between degree and radian measures of an angle.
6.2 Determine the trigonometric rations of an angle from a trigonometric ration using a hand held calculator.
6.3 Solve right triangles.
6.4 Solve problems using vectors.
6.5 Solve triangles using the law of Sines and the Law of Cosines.
6.6 Graph functions of the form: y = a sin (bx + c), y = a cos (bx + c) and y = a tan (bx + c)
6.7 Solve trigonometric equations.
   
Unit 7 Analytic Geometry
  General Outcome:
7.0 The students should be able to use and plot the conic sections.
  Specific Measurable Learning Outcomes:
  Upon successful completion of this unit, the student shall be able to:
7.1 Use the distances formula.
7.2 Reorganize and plot the ellipse.
7.3 Reorganize and plot the parabola.
7.4 Reorganize and plot the circle .
7.5 Reorganize and plot the hyperbola.
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