Math 1301 College Algebra [3-3-0]

 

Summer I 2011 (CRN: 30065)

 

Prerequisite: A grade of “C” or better in MATH 1300 or placement by exam taken at UH-Downtown, or a score of at least 270 on the math section of THEA or 73 on Accuplacer or equivalent.

 

Catalog Description: College-level topics in algebra including variation, systems of equations and inequalities, nonlinear inequalities, functions and their graphs, lines, quadratic equations and functions, complex numbers, polynomials, exponential and logarithmic functions, the algebra of functions, an introduction to plane analytic geometry and applications related to these topics. (MATH 1314)

 

Purpose: This course provides the background in algebra necessary for further study in college-level mathematics and its applications. It satisfies the general education core requirement for mathematics.

 

Audience: This is a freshman-level mathematics course, which requires a background consisting of two years of high school mathematics or MATH 1300.

 

Textbook: Essentials of College Algebra with Modeling and Visualization, 3rd Edition, by Gary Rocksworld, Addison-Wesley, Boston, MA, 2008.

 

Alternate: College Algebra with Modeling and Visualization, 3rd Edition, by Gary Rocksworld, Addison-Wesley, Boston, MA, 2006.

 

Textbooks available in the UHD bookstore are bundled with a student access code for MyMathLab which is a comprehensive mathematics program that automatically grades online homework assignments. It further provides online access to a complete electronic version of the text --- see item 7 under Method of Evaluation for more information.

 

Resource Materials: Students enrolled in MATH 1301 at UHD have access to the Math Lab in the Academic Support Center (925-N) where they may receive additional assistance with understanding concepts, improving their skills, and working on homework problems. The Center is staffed with mathematics faculty and student assistants, and offers tutoring, use and/or checkout of course videotapes, use of calculators, use of computers with web access for math homework and computer-aided math drill, and use/loan of mathematics book resources on a walk-in basis. The Math Lab maintains extensive hours which are published each semester. Please encourage students to visit the Math Lab and make use of available services there and at the UHD Student Algebra web page available at: http://cms.uhd.edu/qep/algebra.

 

Goals/Objectives: (1) write complex numbers in standard form and perform the four elementary operations with complex numbers; (2) solve quadratic equations in one variable by the methods of factoring, extraction of roots, completing the square, and the Quadratic Formula; (3) set up and solve word problems involving geometric figures, motion and solutions/mixtures (finding solutions may involve quadratic equations or systems of equations); (4) recognize the equation of a straight line and determine the equation of a line from information such as: given two points on the line, or, one point on the line and the slope of the line; (5) state the definition of a function, determine the domain and range of a function, evaluate expressions involving functional notation, simplify expressions involving the algebra of functions, and given a function find its inverse, if it exists; (6) solve problems involving direct variation (inverse and joint variation may be added if time); (7) graph linear functions and quadratic functions by hand; (8) recognize the important features of graphs of general polynomial functions, piecewise-defined functions, and absolute value functions; (9) find the vertex and intercepts of a parabola; (10) state the basic properties of polynomial functions; (11) solve nonlinear (quadratic and rational) inequalities, state the solution using interval notation and graph the solution; (12) state the inverse relationship between exponential and logarithmic functions, graph both types, use properties of logarithms to rewrite expressions, and solve exponential and logarithmic equations; (13) solve radical equations, fractional equations and equations that are quadratic in form, as well as identify extraneous solutions; (14) solve systems of equations in three variables by algebraic techniques.

 

Method of EvaluationDepartmental policy requires that

1.A Maximum of four and a minimum of three in-class tests and a comprehensive departmental final exam must be given. The final exam must be taken by all students and cannot be edited by the instructor.

2.All major tests should be announced at least one week in advance.

3.The semester average of the grades is determined as follows:

Components

Percentage

4 midterm exams

50%

Homework

15%

Final exam

35%

4.The final course average will be used assign the final course grade according to the standard college formula:

      90-100 -> “A”, 80-89 -> “B”, 70-79 -> “C”, 60-69 -> “D”, 0-59 -> “F”

      The following case is an exception: If the final exam score is less than 50, the student will receive an “F” for the course regardless of his or her average.

5.      Neither an open book nor a take-home major test may be given.

6.      An equivalent version of a test may not be distributed to students before a major test. Any review sheet should be comprehensive and the student should not feel that classroom notes, homework or the text mat be ignored in favor of the review sheet. The department furnishes a review sheet for the final exam. Information on the availability of the review sheet will be given near the end of the semester.

7.      Instructors are strongly encouraged to use MyMathLab and to count homework as part of the course grade. The CMS Department suggested assignments for Fall 2007 are available to copy at nava94403 into your CourseCompass account. Training and handouts for instructors to use and to explain MyMathLab as well as student handouts are available. Please contact N. Leveille (S748, X2723, or at leveillen@uhd.edu) for more information. The use of MyMathLab is optional and is the decision of each instructor. In order for students to use MyMathLab, they need to purchase a Student Access Code from either the UHD Bookstore or online at www.coursecompass.com. Instructors who choose not to use MyMathLab are strongly encouraged to make homework a part of the course grade and may assign problems based on the CMS Department’s suggested problem list for this course and grade these by hand if they prefer.

 

Some Departmental Policies Regarding This Course:

  1. Each instructor must cover all course topics by the end of the semester. The departmental final exam is comprehensive and questions on it can deal with any of the course material. The department furnishes a review sheet and conducts Review Sessions. More information is sent out near the end of every semester.
  2. Each student should receive a copy of the department Student Syllabus

 

Course Schedule:

This is the tentative course schedule. It will be updated during the proceeding of the course. You should check it regularly for the assignment due dates and exam dates. Although it will be updated in the best effort, any conflicts should be resolved according to the announcements made in the class.

 

Week\Day

Monday

Tuesday

Wednesday

Thursday

1

6/6

Section 1.1, 1.2

6/7

Section 1.3, 1.4

6/8

Section 2.1, 2.2

6/9

Section 2.2

Review

2

6/13

Section 2.3

Exam 1

6/14

Section 2.4, 2.5

6/15

Section 3.1

6/16

Section 3.2

Review

3

6/20

Section 3.3

Exam 2

6/21

Section 4.1, 4.2

6/22

Section 4.4, 4.5

6/23

Section 5.1

Review

4

6/27

Section 5.2

Exam 3

6/28

Section 5.3

6/29

Section 5.4, 5.5

6/30

Section 5.6

Review

5

7/4

Independence Day

7/5

Section 6.1

Exam 4

7/6

Section 6.2

Review

7/7

Final Exam