MATH Course Summary. Description. Objectives. Course : MATH110 Title : College Algebra Length of Course : 8 Prerequisites : Credit Hours : 3

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1 MATH ST UDENT WARNING: This course syllabus is from a previous semester archive and serves only as a preparatory reference. Please use this syllabus as a reference only until the professor opens the classroom and you have access to the updated course syllabus. Please do NOT purchase any books or start any work based on this syllabus; this syllabus may NOT be the one that your individual instructor uses for a course that has not yet started. If you need to verify course textbooks, please refer to the online course description through your student portal. This syllabus is proprietary material of APUS. Course Summary Course : MATH110 Title : College Algebra Length of Course : 8 Prerequisites : Credit Hours : 3 Description Course Description: This course investigates the concepts of college algebra. The course covers the concepts of algebra, graphing and solution of linear and quadratic equations, inequalities and the solution of systems of linear equations. The course is organized into four distinct parts. The first part of the course covers the basic concepts involved in graphing points and linear equations. The second part of the course investigates the solution and graphing of inequalities and systems of linear equations. The third part of the course concentrates on the manipulation and use of exponential expressions and radicals. The final part of the course considers the solution of quadratic equations and their applications. Practical applications are provided throughout the course. There is careful attention to the presentation of concepts that will become important in the study of analytic geometry, trigonometry and calculus. The course assumes the student has completed MATH101 Introduction to College Algebra or an equivalent course and is completely comfortable with the language of algebra, equations and inequalities, polynomials, factoring, and rational expressions. If a lower-level math course has not been completed recently, we recommend that students take the 16-week session of MATH110. The eight-week session is recommended only for students with prior math experience and who have an adequate amount of time to pursue a highly-accelerated course of study in eight weeks. Course Scope: The course is delivered online and is organized into distinct parts. The first part of the course covers the basic concepts involved in graphing points and linear equations. The second part of the course investigates the solution and graphing of inequalities and systems of linear equations. The third part of the course concentrates on the manipulation and use of exponential expressions and radicals. The final part of the course considers the solution of quadratic equations and their applications. Practical applications are provided throughout the course. Objectives After completing the course, the student should be able to accomplish the Course Objectives (CO): C01: Solve algebraic problems using graphs CO2: Solve algebraic problems using equations

2 CO3: Translate equations and inequalities into equivalent forms through the application of the rules of algebra. CO4: Solve systems of linear equations with two equations. CO5: Solve problems involving equations and inequalities. CO6: Solve problems involving rational exponential functions. CO7: Solve quadratic equations. CO8: Compute descriptive measures using graphs. CO9: Apply mathematical problem solving methods. CO10: Develop mathematical models using one or two linear equations to solve an applications problem. CO11: Apply math concepts to situations in everyday life. Outline Week 1: Graphing Linear Equations CO 1, 2 -Plot a point, given the coordinates. -Determine the coordinates of a plotted point. -Find ordered-pair solutions for a given linear equation. -Graph a linear equation by plotting ordered pairs. -Graph a straight line by plotting its intercepts. -Graph horizontal and vertical lines. Textbook Sections: Forum 1: Initial post Week 2: Slope CO 1, 2 -Find the slope of the line given two points on the line. -Find the slope and y-intercept of the line given its equation. -Write the equation of the line given the slope and yintercept. -Graph a line using the slope and yintercept. -Solve applications using slopeintercept Textbook Sections: 3.3

3 Forum 1: 2 responses Optional Practice Test Test 1 Week 3: Equations of Lines and Graphing Linear Inequalities CO 2, 10, 11 -Write an equation ofthe line given apoint and the slope. -Write an equation ofthe line given two points. -Find the Equation of a Line Given the Graph of the Line -Find the slope a line parallel or perpendicular to a given line -Find the slopes of parallel and perpendicular lines. -Graph linear inequalities in two variables. Textbook Section: Forum 2: Initial post Week 4: Functions CO 2, 10, 11 -Understand themeanings of a relation and function. -Graph simple nonlinear equations. -Determine whether a graph represents a function. -Use function notation. Textbook Section: 3.6 Forum 2: 2 responses Optional Practice Test Test 2 Week 5: Systems of Equations

4 CO 2, 3, 4, 5,8, 11 -Determine whether an ordered pair is a solution to a system of two linear equations. -Solve a system of two linear equations by the graphing method. -Solve a system of two linear equations by the substitution method. -Solve a system of two linear equations by the addition (elimination) method. -Choose an appropriate method to solve a system of linear equations algebraically. Textbook Section: 4.1, 4.3 Forum 3: Initial post Week 6: Systems of Inequalities CO 2, 3, 4, 5,8, 11 -Graph a system of inequalities. Textbook Section: 4.4 Forum 3: 2 responses Optional Practice Test Test 3 Week 7: Rational Exponents and Radical Expressions CO 6 -Simplify expressions with rational exponents. -Add expressions with rational exponents. -Factor radical expressions to expressions with rational exponents. -Simplify radical expressions. -Change expressions with rational exponents to radical expressions. -Simplify expressions with rational exponents. -Evaluate higherorder radicals containing variable radicands that can represent any real number. Textbook Sections:

5 Forum 4: Initial post Week 8: Working with Radicals CO 6 -Simplify a radical by using the product rule. -Add and subtract like radical terms. Textbook Sections: 8.3 Forum 4: 2 responses Optional Practice Test Test 4 Week 9: Working with Radicals 2 CO 5, 6, 11 -Simplify a radical by using the product rule. -Multiply radical expressions. -Divide radical expressions. -Solve a radical equation that requires squaring each side once. -Solve a radical equation that requires squaring each side twice. Textbook Sections: 8.4, 8.5 Forum 5: Initial post Week 10: Variation

6 CO 5, 6, 11 -Solve problems requiring the direct variation. -Solve problems requiring the use of inverse variation. Textbook Sections: 8.7 Forum 5: 2 responses Optional Practice Test Test 5 Week 11: Quadratic Equations CO 7, 9, 10, 11 -Solve quadratic equations by using the square root property. -Solve quadratic equations by completing the square Textbook Section: 9.1 Forum 6: Initial post Optional Practice Test Week 12: The Quadratic Formula CO 7, 9, 10, 11 -Solve a quadratic equation by using the quadratic formula. -Use the discriminant to determine the nature of the roots of a quadratic equation. -Write a quadratic equation given the solutions of the equation. Textbook Section: 9.2 Forum 6: 2 responses Optional Practice Test

7 Test 6 Week 13: Quadratic Formulas and Applications CO 6, 9, 11 -Solve a quadratic equation containing several variables. -Solve problems requiring the use of the Pythagorean Theorem. -Solve applied problems requiring the use of a quadratic equation. Textbook Section: 9.4 Forum 7: Initial post Optional Practice Test Week 14: The Quadratic Functions CO 6, 9, 11 -Find the vertex and intercepts of a quadratic function. -Graph a quadratic function. Textbook Section: 9.5 Forum 7: 2 responses Optional Practice Test Test 7 Week 15: Course Review CO Review all course materials -Use the Study Guide Textbook Chapters 3, 4, 8, and 9 (skip 4.2, 8.6 and 9.3)

8 Forum 8: Initial post Week 16: Final Examination CO Demonstrate knowledge of College Algebra Textbook Chapters 3, 4, 8, and 9 (skip 4.2, 8.6 and 9.3) Forum 8: 2 responses Review for Final Exam Final Exam Evaluation Forum s: The University requires weekly contact from each student. This requirement can be met by taking the Unit Tests and by participating in the Forums. A total of 8% of the final grade will be based on participation in the weekly Forums. Forum postings are expected to be written in complete sentences using correct grammar and spelling. Any posting which requires research must be accompanied by a citation of the references used. : problems are assigned for each section of the book that we study. The right-hand side of the MyMathLab screen contains links to resources to make your task easier. Help Me Solve This: This link walks you step-by-step through the assigned problem. Once it has guided you to the solution, you must choose Similar Exercise in order to get a new problem to do for credit. Show Me An Example: This link demonstrates a similar problem for you. This feature is especially handy if you want to know the format it wants for an answer. If the example has the answer in decimal form, then that s what you should use for your problem. Ask My Instructor: This area sends the instructor an with your exact problem so that they can show you how to solve it. This is just like raising your hand in a traditional class to get help with what you don t understand. These homework problems are an important factor in your success at mastering the subject. Math is not a spectator sport - one learns math by putting the pencil to the paper! Weekly Tests: There will be a graded test every other week of the course. Each test will be a 25 question online, open-book, open-note test. You may not consult with any other person while taking the exam. A total of 56% of the final course grade comes from these tests. These assignments will follow each week of the course and will be problems or questions similar to those in the text and homework. They are selected to provide the student with hands on experience in applying the techniques and models being discussed. Final Exam: The final exam will count as 20% of the final grade. It will also be a 25 question online, openbook, open-note exam. You may not consult with any other person while taking the exam. This examination

9 will be based on all material covered during the semester. The questions will require computations and application of the material covered during the semester. Please coordinate with the professor for any special arrangements. Unless the professor approves alternate arrangements, students should plan to take the final examination during the last week of the course. You will not need a proctor to take this exam. Please see the Student Handbook to reference the University s grading scale. Grading: Name Grade % Honor Code 1.00 % APUS Honor Code and Pledge 1.00 % % Current Grade % s % Test 1 Critique 8.00 % Test 2 Critique 8.00 % Test 3 Critique 8.00 % Test 4 Critique 8.00 % Test 5 Critique 8.00 % Test 6 Critique 8.00 % Test 7 Critique 8.00 % Final Exam % Final Exam Critique % Forums 8.00 % Forum 1: Weeks 1 and % Forum 2: Weeks 3 and % Forum 3: Weeks 5 and % Forum 4: Weeks 7 and % Forum 5: Weeks 9 and % Forum 6: Weeks 11 and % Forum 7: Weeks 13 and % Forum 8: Weeks 15 and % Materials Book Title: MATH100, 101, 110 Pearson MyLab access provided inside the classroom Author: Publication Info: Pearson ISBN:

10 Book Title: Beginning & Intermediate Algebra, 4th Ed - The VitalSource e-book is provided via the APUS Bookstore Author: Tobey, et. al. Publication Info: Pearson ISBN: Book Title: You must validate your cart to get access to your VitalSource e-book(s). If needed, instructions are available here - Author: N/A Publication Info: N/A ISBN: N/A Students will need a calculator to successfully complete this course. The calculator should include a memory and square root function. At the student s discretion, a scientific calculator capable of performing statistical functions or a computer spreadsheet program like Microsoft Excel may be used. Students may make use of the above for all graded assignments during the course. Supplementary Materials The lessons contain links to online supplementary materials for this class. You may click on the links in the lessons directly to view them. In addition to these, the following public domain web sites are useful. Please abide by the university s academic honesty policy when using Internet sources as well. Note web site addresses are subject to change. Site Name Web Site URL/Address Khan Academy PatrickJMT Purplemath VirtualMathLabhttp:// Course Guidelines Citation and Reference Style Tutoring Attention Please: Students will follow the APA Format as the sole citation and reference style used in written work submitted as part of coursework to the University. s completed in a narrative essay or composition format must follow the citation style cited in the APA Format. Tutor.com offers online homework help and learning resources by connecting students to certified tutors for one-on-one help. AMU and APU students are eligible for 10 free hours* of tutoring provided by APUS. Tutors are available 24/7 unless otherwise noted. Tutor.com also has a SkillCenter Resource Library offering educational resources, worksheets, videos, websites and career help. Accessing these resources does not count against tutoring hours and is also available 24/7. Please visit the APUS Library and search for 'Tutor' to create an account. Late s Students are expected to submit classroom assignments by the posted due date and to complete the course

12 The mission of American Public University System is to provide high quality higher education with emphasis on educating the nation s military and public service communities by offering respected, relevant, accessible, affordable, and student-focused online programs that prepare students for service and leadership in a diverse, global society. ST UDENT WARNING: This course syllabus is from a previous semester archive and serves only as a preparatory reference. Please use this syllabus as a reference only until the professor opens the classroom and you have access to the updated course syllabus. Please do NOT purchase any books or start any work based on this syllabus; this syllabus may NOT be the one that your individual instructor uses for a course that has not yet started. If you need to verify course textbooks, please refer to the online course description through your student portal. This syllabus is proprietary material of APUS.

13 MATH110 ST UDENT WARNING: This course syllabus is from a previous semester archive and serves only as a preparatory reference. Please use this syllabus as a reference only until the professor opens the classroom and you have access to the updated course syllabus. Please do NOT purchase any books or start any work based on this syllabus; this syllabus may NOT be the one that your individual instructor uses for a course that has not yet started. If you need to verify course textbooks, please refer to the online course description through your student portal. This syllabus is proprietary material of APUS. Course Summary Course : MATH110 Title : College Algebra Length of Course : 8 Prerequisites : N/A Credit Hours : 3 Description Course Description: This course investigates the concepts of college algebra. The course covers the concepts of algebra, graphing and solution of linear and quadratic equations, inequalities and the solution of systems of linear equations. The course is organized into four distinct parts. The first part of the course covers the basic concepts involved in graphing points and linear equations. The second part of the course investigates the solution and graphing of inequalities and systems of linear equations. The third part of the course concentrates on the manipulation and use of exponential expressions and radicals. The final part of the course considers the solution of quadratic equations and their applications. Practical applications are provided throughout the course. There is careful attention to the presentation of concepts that will become important in the study of analytic geometry, trigonometry and calculus. The course assumes the student has completed MATH101 Introduction to College Algebra or an equivalent course and is completely comfortable with the language of algebra, equations and inequalities, polynomials, factoring, and rational expressions. If a lower-level math course has not been completed recently, we recommend that students take the 16-week session of MATH110. The eight-week session is recommended only for students with prior math experience and who have an adequate amount of time to pursue a highly-accelerated course of study in eight weeks. Course Scope: The course is delivered online and is organized into distinct parts. The first part of the course covers the basic concepts involved in graphing points and linear equations. The second part of the course investigates the solution and graphing of inequalities and systems of linear equations. The third part of the course concentrates on the manipulation and use of exponential expressions and radicals. The final part of the course considers the solution of quadratic equations and their applications. Practical applications are provided throughout the course. Objectives After completing the course, the student should be able to accomplish these Course Objectives (CO): 1. Solve algebraic problems using graphs 2. Solve algebraic problems using equations

14 3. Translate equations and inequalities into equivalent forms through the application of the rules of algebra. 4. Solve systems of linear equations with two equations. 5. Solve problems involving equations and inequalities. 6. Solve problems involving rational exponential functions. 7. Solve quadratic equations. 8. Compute descriptive measures using graphs. 9. Apply mathematical problem solving methods. 10. Develop mathematical models using one or two linear equations to solve an applications problem. 11. Apply math concepts to situations in everyday life. Outline Week 1: The Rectangular Coordinate System and Slope CO 1, 2, 3, 8 Plot a point, given the coordinates. Determine the coordinates of a plotted point. Find ordered-pair solutions for a given linear equation. Graph a linear equation by plotting ordered pairs. Graph a straight line by plotting its intercepts. Graph horizontal and vertical lines. Find the slope of the line given two points on the line. Find the slope and y-intercept of the line given its equation. Write the equation of the line given the slope and y-intercept. Graph a line using the slope and y-intercept. Solve applications using slope-intercept Textbook Sections: Unit 1 Forum: Introductions Week 1 Test Week 2: Equations of Lines, Inequalities and Functions CO 1, 2, 3, 11 Write an equation of the line given a point and the slope. Write an equation of the line given two points. Find the Equation of a Line Given the Graph of the Line Find the slope a line parallel or perpendicular to a given line

15 Find the slopes of parallel and perpendicular lines. Graph linear inequalities in two variables. Understand the meanings of a relation and function. Graph simple nonlinear equations. Determine whether a graph represents a function. Use function notation. Textbook Section: Week 2 Forum Week 2 Test Week 3: Systems of Equations and Inequalities CO 1, 2, 3, 4, 5, 6, 8, 9, 10, 11 Determine whether an ordered pair is a solution to a system of two linear equations. Solve a system of two linear equations by the graphing method. Solve a system of two linear equations by the substitution method. Solve a system of two linear equations by the addition (elimination) method. Choose an appropriate method to solve a system of linear equations algebraically. Solve applications requiring the use of a system of two linear equations in two unknowns. Graph a system of linear inequalities. Review your knowledge of graphing equations Review your knowledge of graphing inequalities Review your knowledge of solving systems of equations Review your ability to use these concepts in applications Textbook Section: 4.1, 4.3, 4.4 Week 3 Forum Week 3 Test Week 4: Rational Exponents CO 6

16 Simplify expressions with rational exponents. Add expressions with rational exponents. Evaluate radical expressions and functions. Change radical expressions to expressions with rational exponents. Simplify radical expressions. Change expressions with rational exponents to radical expressions. Simplify expressions with rational exponents. Evaluate higherorder radicals containing variable radicands that can represent any real number. Textbook Sections: Week 4 Forum: Midterm Reflection Week 4 Test Week 5: Working with Radicals, Radical Equations CO 6, 11 Simplify a radical by using the product rule. Add and subtract like radical terms. Multiply radical expressions. Divide radical expressions. Simplify radical expressions by rationalizing the denominator. Solve a radical equation that requires squaring each side once. Solve a radical equation that requires squaring each side twice. Solve problems requiring the direct variation. Solve problems requiring the use of inverse variation. Textbook Sections: 8.4, 8.5, 8.7 Week 5 Forum Week 5 Test Week 6: Quadratic Equations CO 2, 7, 9

17 Solve quadratic equations by using the square root property. Identify perfect square trinomials Solve quadratic equations by completing the square Textbook Section: 9.1 and 9.2 Week 6 Forum Week 6 Test Week 7: The Quadratic Formula, Quadratic Functions and Applications of the Quadratic Formula CO 2, 6, 7, 9, 11 Solve a quadratic equation by using the quadratic formula. Use the discriminant to determine the nature of the roots of a quadratic equation. Write a quadratic equation given the solutions of the equation. Solve a quadratic equation containing several variables. Solve problems requiring the use of the Pythagorean Theorem. Solve applied problems requiring the use of a quadratic equation. Find the vertex and intercepts of a quadratic function. Graph a quadratic function. Textbook Section: 9.4 and 9.5 Week 7 Forum Week 7 Test Week 8: Course Review, Final Examination Course CO 1 11 Review all course materials Demonstrate knowledge of College Algebra Textbook Chapters 3, 4, 8, and 9 (skip 4.2, 8.6 and 9.3)

19 s % Test 1 Critique 8.00 % Test 2 Critique 8.00 % Test 3 Critique 8.00 % Test 4 Critique 8.00 % Test 5 Critique 8.00 % Test 6 Critique 8.00 % Test 7 Critique 8.00 % Final Exam % Final Exam Critique % Forums 8.00 % Week 1 Forum 1.00 % Week 2 Forum 1.00 % Week 3 Forum 1.00 % Week 4 Forum 1.00 % Week 5 Forum 1.00 % Week 6 Forum 1.00 % Week 7 Forum 1.00 % Week 8 Forum 1.00 % Materials Book Title: MATH100, 101, 110 Pearson MyLab access provided inside the classroom Author: Publication Info: Pearson ISBN: Book Title: Beginning & Intermediate Algebra, 4th Ed - The VitalSource e-book is provided via the APUS Bookstore Author: Tobey, et. al. Publication Info: Pearson ISBN: Book Title: You must validate your cart to get access to your VitalSource e-book(s). If needed, instructions are available here - Author: N/A Publication Info: N/A ISBN: N/A Students will need a calculator to successfully complete this course. The calculator should include a memory and square root function. At the student s discretion, a scientific calculator capable of performing statistical functions or a computer spreadsheet program like Microsoft Excel may be used. Students may make use of the above for all graded assignments during the course.

21 Some assignments may have very specific requirements for formatting (such as font, margins, etc) and submission file type (such as.docx,.pdf, etc) See the assignment instructions for details. In general, standard file types such as those associated with Microsoft Office are preferred, unless otherwise specified. Disclaimer Statement Course content may vary from the outline to meet the needs of this particular group. Communicating on the Forum Forums are the heart of the interaction in this course. The more engaged and lively the exchanges, the more interesting and fun the course will be. Only substantive comments will receive credit. Although there is a final posting time after which the instructor will grade comments, it is not sufficient to wait until the last day to contribute your comments/questions on the forum. The purpose of the forums is to actively participate in an ongoing discussion about the assigned content. Substantive means comments that contribute something new and hopefully important to the discussion. Thus a message that simply says I agree is not substantive. A substantive comment contributes a new idea or perspective, a good follow-up question to a point made, offers a response to a question, provides an example or illustration of a key point, points out an inconsistency in an argument, etc. As a class, if we run into conflicting view points, we must respect each individual's own opinion. Hateful and hurtful comments towards other individuals, students, groups, peoples, and/or societies will not be tolerated. University Policies Student Handbook Drop/Withdrawal policy Extension Requests Academic Probation Appeals Disability Accommodations The mission of American Public University System is to provide high quality higher education with emphasis on educating the nation s military and public service communities by offering respected, relevant, accessible, affordable, and student-focused online programs that prepare students for service and leadership in a diverse, global society. ST UDENT WARNING: This course syllabus is from a previous semester archive and serves only as a preparatory reference. Please use this syllabus as a reference only until the professor opens the classroom and you have access to the updated course syllabus. Please do NOT purchase any books or start any work based on this syllabus; this syllabus may NOT be the one that your individual instructor uses for a course that has not yet started. If you need to verify course textbooks, please refer to the online course description through your student portal. This syllabus is proprietary material of APUS.

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