Mat.060 – Hybrid Course Syllabus - Fall 2008


 

1.Course Title:  

 Developmental Mathematics      

Hybrid Course     

Classroom 1.5 hrs/wk  

         “and”

INTERNET 1.5 hrs/wk 3 non-degree credits 


 

2. Course Description: 

This hybrid distance learning course is designed to prepare students for mathematics courses in the college parallel curriculum and for Technical Mathematics I. Students will attend class for classroom study and use Web-based mathematics software for the online study of elementary algebra through quadratic equations. Students are required to use the Internet for 1.5 hours per week, and will also meet for classroom instruction for 1.5 hours per week. Students who enroll in this course should be highly motivated, self-disciplined, and have the ability to learn and succeed while working in an online environment for 1.5 hours per week and while attending class on campus for 1.5 hours per week, as scheduled.


 

3. Prerequisites:

Mat.040: Basic Mathematics or its equivalent; or the appropriate score on the mathematics placement test. Also, prior to taking this course, students should have already acquired considerable experience and proficiency using a personal computer. Each student who enrolls in this course will need to have regular access to the Internet through a computer system with a fast modem, multimedia capabilities, and Microsoft Word. You may also use the computers that are available for student use in the Math-Science Learning Center (Room 1180). MAC computers and browsers other than Internet Explorer and Netscape (specified versions) may not be compatible with the Web-based MyMathLab software used in this course.


 

4. Required Text:

Introductory Algebra by Marvin L. Bittinger, 10th edition,
Pearson Education Inc., 2007. 


 

5. Professor: 

Bill Yeager 
Office #: 2182 
Phone #: 610-359-7326
E-mail address: byeager@dccc.edu
Office Hours: MTWRF: 12:00-1:00pm 

                  (other times by appointment)


 

6. Student Learning Activities: 

Student will receive and participate in traditional classroom instruction and will access online and textbook instruction/assignments for each course objective, will watch relevant online video/audio clips, do practice exercises and homework exercises, take practice tests, and take an on-campus Midterm Exam and an on-campus Final Exam.

* (Calculators are not permitted on any exams.)


 

7. Instructional Resources: 

Online instruction, practice exercises, video/audio clips, and tutoring. Additional tutoring is available in DCCC's Act 101 Office, in the Math-Science Learning Center, by telephone via textbook publisher, and by e-mail and discussion board via course instructor. 
* (Calculators are not permitted on any exams.)


    

8. Methods of Evaluation:

On campus Midterm

=

25% of grade

 

 

 

Internet Use  

and                    }   

Assignments                       

 

=

 

25% of grade

 

 

 

On campus Final Exam

 

=

50% of grade


 

 

9. Grading Scale: 

85 - 100%

=

HP (High Pass) 

70 - 84%

=

P (Pass)

below 70%

=

NP (Non-Pass)

Absent from 4 or more classes, or 
Incomplete Progress on Chapters, Tests,

or Final Exam

 


=


W or NP

 (Withdrawal or Non-Pass

  at discretion of instructor)


 

10. Academic Honesty: Exactly as stated in the DCCC Student Handbook.


 

11. Course Competencies and Objectives: 

Competency 1: Add, subtract, multiply, and divide real numbers.  (Ch.1: 1.1-1.8) 


Objectives: 

 

1.1

Evaluate algebraic expressions by substitution.

1.2

Translate word phrases to algebraic expressions.

1.3. 

Indicate which of two real numbers is greater using > or < symbol.

1.4 

Determine whether an inequality is true or false.

1.5

Find the absolute value of a real number.

1.6

Add real numbers without using a number line.

1.7

Find the opposite, or additive inverse, of a real number.

1.8

Subtract real numbers. 

1.9

Perform combinations of addition and subtraction of real numbers.

1.10

Multiply real numbers.

1.11

Divide integers.

1.12

Find the reciprocal of a real number.

1.13

Divide real numbers.

1.14

Use the distributive law to multiply algebraic expressions.

1.15

Use the distributive law to factor algebraic expressions.

1.16

Collect like terms.

1.17

Simplify algebraic expressions, remove parentheses, and combining like terms. 

1.18

Simplify algebraic expressions using the correct "order of operations."


 

Competency 2: Solve 1st degree equations and inequalities in one variable. 
(Ch.2: 2.1-2.3,2.6-2.7)


Objectives: 

 

 

2.1

Determine whether a given number is a solution of an equation.

2.2

Solve linear equations using the addition/subtraction principle.

2.3

Solve linear equations using the multiplication/division principle.

2.4

Solve linear equations using both the addition and multiplication principles.

2.5 

Solve linear equations by removing parentheses and collecting like terms.

2.6

Solve applied problems by translating to linear equations.

2.7

Determine whether a given number is a solution of an inequality.

2.8

Graph an inequality on a number line.

2.9

Solve linear inequalities using both the addition and multiplication principles.


 

Competency 3: Solve literal equations for the indicated variable.

 (Ch.2: 2.4)


Objective:

 

 

3.1

Solve literal equations and formulas for a specified letter, by applying the same principles that are used to solve linear equations.


 

Competency 4: Graph 1st degree equations in two variables.

 (Chapter 3: 3.1-3.2)


Objectives:

 

 

4.1 

Plot points associated with ordered pairs of numbers.

4.2

Determine the quadrant in which a point (x,y) lies.

4.3

Find the x - coordinate and the y - coordinate of a point on a graph.

4.4

Determine whether an ordered pair of numbers, (x,y), is a solution of a linear equation in two variables.

4.5

Graph equations of the type y = mx and y = mx + b.

4.6

Find the x - intercept and the y - intercept of a linear equation.

4.7

Graph equations of the type ax + by = c using the intercepts.

4.8

Graph equations of the type x = a and x = b.


 

Competency 5: Add, subtract, multiply, and divide polynomials.

(Ch.4: 4.1-4.6, 4.8)


Objectives:

 

 

5.1

Understand the meaning of exponential notation.

5.2

Evaluate exponential expressions containing exponents.

5.3

Use the product rule, the quotient rule and the negative exponent rule.

5.4

Use the power rule to raise powers to powers.

5.5

Raise a product to a power, and raise a quotient to a power.

5.6

Evaluate a polynomial for a given value of the variable.

5.7

Identify the terms of a polynomial.

5.8

Identify and collect the like terms of a polynomial.

5.9

Add polynomials.

5.10

Find the opposite of a polynomial, and subtract polynomials.

5.11

Multiply a monomial by another polynomial.

5.12

Multiply two binomials, and use the FOIL method.

5.13

Multiply any two polynomials.

5.14

Divide a polynomial by a monomial.

5.15

Divide a polynomial by a binomial. 


 

Competency 6: Factor polynomials. (Chapter 5: 5.1-5.3, 5.5-5.7) 


Objectives:

 

 

6.1

Factor monomials.

6.2

Factor polynomials by factoring out the greatest common factor (g.c.f.).

6.3 

Factor trinomials of the type  ax2 + bx + c = 0  where  a = 1 .

6.4

Factor trinomials of the type  ax2 + bx + c = 0  where  a > 1  or  a < 1.

6.5

Recognize and factor differences of squares.

6.6

Solve equations using the "principle of zero products."

6.7

Solve equations by factoring, and then using the "principle of zero products."


 

Competency 7: Add, subtract, multiply, and divide rational expressions. (Ch.6: 6.1-6.6,6.8) 

 
Objectives: 

 

 

7.1 

Simplify rational expressions by factoring the numerator and denominator, and by cancelling identical factors.

7.2 

Multiply rational expressions, and simplify.

7.3

Find the reciprocal of a rational expression.

7.4 

Divide rational expressions, and simplify.

7.5 

Find the least common multiple (LCM) of algebraic expressions by factoring.

7.6

Add fractions, using the least common denominator (LCD).

7.7

Add rational expressions.

7.8

Subtract rational expressions.

7.9 

Solve rational equations.

7.10

Simplify complex rational expressions. (optional) 


 

Competency 8: Solve a system of 1st degree equations in two variables. (Ch7: 7.3)


Objective:

 

 

8.1

Use the elimination method to solve a system of two linear equations.


 

Competency 9: Perform operations on square roots. (Chapter 8: 8.1-8.4)

 
Objectives:

 

 

9.1

Find principle square roots and their opposites.

9.2

Simplify square roots.

9.3

Multiply square roots, and simplify.

9.4

Divide square roots.

9.5 

Simplify square roots of quotients.

9.6

Add and subtract square roots. 


 

Competency 10: Solve quadratic equations. (Chapter 9: 9.1-9.3)


Objectives: 

 

 

10.1

Write a quadratic equation in standard form ax2 + bx + c = 0  where 

a > 0 .

10.2

Solve quadratic equations by factoring and using the principle of zero products. 

10.3

Solve quadratic equations of the type ax2 = b.

10.4

Solve quadratic equations using the quadratic formula. 

Back to Online Mat.060 Main Page