Intermediate Algebra Math 0305 Course Syllabus: Spring 2013


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1 Intermediate Algebra Math 0305 Course Syllabus: Spring 2013 Northeast Texas Community College exists to provide responsible, exemplary learning opportunities. Jerry Stoermer Office: Math /Science 104 Phone: Office Hours Monday Tuesday Wednesday Thursday Friday Online 30 min after 30 min after class class The information contained in this syllabus is subject to change without notice. Students are expected to be aware of any additional course policies presented by the instructor during the course. Catalog Course Description (include prerequisites): Intermediate algebra is designed to develop the skills and understanding contained in the second year of secondary school algebra. Topics include the properties of the real number system, operations on polynomials, special products, factor patterns, radicals, rational exponents, solutions of linear, quadratic, systems of equations, inequalities, coordinate systems, and graphing. Three hours of class each week. No college credit. Prerequisite: MATH 0303 or its equivalent. Required Textbook(s): Lial, Hornsby and McGinnis, Introductory and Intermediate Algebra, 4th Edition, Publisher: Pearson Addison Wesley Publishing, Boston, MA, ISBN Number: Recommended Reading(s): None Student Learning Outcomes: Upon the successful completion of this course, students will be able to: 1. Solve multistep linear equations and inequalities. 2. Graph linear equations with two variables using a variety of methods. 3. Apply the rules for exponents in a variety of expressions. 4. Factor a variety of expressions including greatest common factor, grouping, trinomials, difference of squares, perfect square trinomials and sum or difference of cubes. 5. Solve quadratic equations using factoring and square root property..exemplary Educational Objectives: The student will be able to: 1. Solve a variety of equations including linear, absolute value, quadratic and systems of equations.
2 2. Become functional with polynomial theory, definitions, properties, and operations including the laws of exponents. 3. Recognize various factor patterns from greatest common factor to factoring by grouping and apply these to simplification and solution to various expressions and equations. 4. Solve and graph linear equations. 5. Solve systems of equations by graphing, substitution and elimination. 6. Solve and graph quadratic equations. 7. Find the equation of a line using slopes and/or intercepts. 8. Extend the rules of arithmetic to rational algebraic expressions including operations, properties. 9. Utilize the properties of exponents, roots, and radicals in simplifying radical expressions. 10. Apply functional notation. 11. Solve word problems involving one and two unknowns. SCANS Skills: Lectures & Discussions: Lectures are interlaced with student practice. Cooperative learning is desired. Evaluation/Grading Policy: While this is a noncredit course, a traditional grading system will be used, and this grade will appear on the student s transcript. Successful completion of the course will require a final average of "C" or better. Tests/Exams: There will be four exams and a comprehensive final. Students are expected to take an exam when it is scheduled. Should an emergency arise on the day of the exam, the student should notify the instructor as soon as possible to make arrangements for a makeup exam. Late exams will be assessed a 20 to 50 point penalty. No exams may be taken after 2 weeks. If you fail either of the first two exams, they may be retaken once to achieve a passing score. Homework will be assigned from the textbook every class period. It is due at the start of the next class period. Homework later than 2 week will not be accepted. Quizzes will be given occasionally to help reinforce learning and test taking skills. Quiz grades will be integrated with the homework assignment. If you are absent for any reason, it is your responsibility to obtain the assignment and have them ready at the next class period. The Academic Skills Center has tutors available to help you with your math. If you want to be successful in this class, it is absolutely essential that you do your homework. Working on the study plan and taking the practice tests are essential. You will find that they will be very helpful in preparing for the exams GRADING SYSTEM Homework 10 % A = Attendance 10 % B = Participation 10 % C = Exams 40 % F = Below 70 Final Exam 30 % NC = 6069, but the student has put forth effort during the semester
3 NOTE: Grading system subject to change if in the best interest of the class. RETESTING POLICY If THEA or Accuplacer is retaken before the student completes a developmental course, the resulting score will determine placement in subsequent courses. It is the student s responsibility to take the score to the instructor of the class. That instructor will give the student a grade of CR on the final grade sheet, and the student will no longer be required to attend that class for the rest of the semester Assignments: Review: Summary Exercises on Operations with Real Numbers, p. 89 Unit I: Equations, Applications and Inequalities 8.1. Review of Solving Linear Equations and Inequalities 2.4 An Introduction to Applications of Linear Equations 8.3 Absolute Value Equations Unit II: Graphs of Linear Equations; Functions 3.2 Graphing Linear Equations in Two Variables 3.3 Slope of a Line 3.4 Equations of Lines 3.5 Summary Exercises on Graphing Linear Equations, pages Introduction to Functions Sum Summary of 3.2 thru 3.4 problems, Quiz Unit III: Systems of Linear Equations and Inequalities 4.1 Solving Systems of Linear Equations by Graphing 4.2 Solving Systems of Linear Equations by Substitution 4.3 Solving Systems of Linear Equations by Elimination Unit IV: Exponents and Polynomials 5.1 to 5.4 Review as needed. Complete notes handout. 5.3 Multiplying Polynomials 5.4 Special Products 5.5 Integer Exponents and the Quotient Rule 5.6 Dividing a Polynomial by a Monomial 5.7 Dividing a polynomial by a Polynomial 5.8 An Application of Exponents: Scientific Notation Unit V: Factoring and Applications Review the following types of factoring problems: Greatest Common Factor, Trinomials with a firstterm coefficient of 1, Difference of Squares and Perfect Square Trinomials. Assign problems as necessary. 6.1 Factoring Greatest Common Factor 6.2 Factoring Trinomials (Diamond Method) 6.4 Factoring Trinomials w/ leading Coefficient 6.5 Special Factoring Techniques 6.6 A General Approach to Factoring 6.7 Solving Quadratic Equations by Factoring
4 Unit VI: Rational Expressions and Functions 7.1 Rational Expressions and Functions: Multiplying and Dividing 7.2 Adding and Subtracting Rational Expressions 7.3 Complex Fractions Unit VII: Roots, Radicals and Root Functions 9.1 Radical Expressions and Graphs 9.2 Rational Exponents 9.3 Simplifying Radical Expressions and the Pythagorean Formula Unit VIII: Quadratic Equations, Inequalities, and Functions Solving Quadratic Equations by the Square Root Property 10.3 Solving Quadratic Equations by the Quadratic Formula Other Course Requirements: Student Responsibilities/Expectations: Students are expected to conduct themselves in a mature and respectful manner toward the instructor as well as other students. An orderly and cooperative classroom environment is essential for optimum learning to take place. Students are expected to maintain honesty in all of their educational endeavors. (See NTCC Student Handbook and college catalog.) Inappropriate behavior will result in loss of participation points and/or dismissal from the class. NTCC Academic Honesty Statement: "Students are expected to complete course work in an honest manner, using their intellects and resources designated as allowable by the course instructor. Students are responsible for addressing questions about allowable resources with the course instructor. NTCC upholds the highest standards of academic integrity. This course will follow the NTCC Academic Honesty policy stated in the Student Handbook." Academic Ethics The college expects all students to engage in academic pursuits in a manner that is beyond reproach. Students are expected to maintain complete honesty and integrity in their academic pursuit. Academic dishonesty such as cheating, plagiarism, and collusion is unacceptable and may result in disciplinary action. Refer to the student handbook for more information on this subject. ADA Statement: It is the policy of NTCC to provide reasonable accommodations for qualified individuals who are students with disabilities. This College will adhere to all applicable federal, state, and local laws, regulations, and guidelines with respect to providing reasonable accommodations as required to afford equal educational opportunity. It is the student s responsibility to arrange an appointment with a College counselor to obtain a Request for Accommodations form. For more information, please refer to the NTCC Catalog or Student Handbook. Family Educational Rights And Privacy Act (Ferpa): The Family Educational Rights and Privacy Act (FERPA) is a federal law that protects the privacy of student education records. The law applies to all schools that receive funds under an applicable program of the U.S. Department of Education. FERPA gives parents certain rights with respect to their children s
5 educational records. These rights transfer to the student when he or she attends a school beyond the high school level. Students to whom the rights have transferred are considered eligible students. In essence, a parent has no legal right to obtain information concerning the child s college records without the written consent of the student. In compliance with FERPA, information classified as directory information may be released to the general public without the written consent of the student unless the student makes a request in writing. Directory information is defined as: the student s name, permanent address and/or local address, telephone listing, dates of attendance, most recent previous education institution attended, other information including major, field of study, degrees, awards received, and participation in officially recognized activities/sports. Other Course Policies: Regular and punctual attendance at all scheduled classes is expected. Attendance is necessary for successful completion of course work. If a student is absent, it is his/her responsibility for initiating procedures for makeup work. Each absence lowers your attendance grade by 10 points. Each tardy lowers your attendance grade by 5 points. ***IMPORTANT: Students who miss more than 7 classes and a test for any reason will receive an F for the course. There are no excused absences for this course
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