Instructor: Mr. David Carr Office: Maxon 109/202 College #102 Phone: Office Hours: TR 12:15-1:15p

Transcription

1 MAT 101 (4 Credits) Fall 2013 Lecture Section: A Location: New Hall TC 11 Evans M-W-F 10:40 11:50 a.m. Course Code: R9J4P-EAPGL Lecture Section: B Location: New Hall TC 09 Carr T-R 10:00 11:50 a.m. Course Code: EMCTK-W6FCE Lecture Section: C Location: New Hall TC 11 Evans M-W-F 1:20 2:30 p.m. Course Code: R9J4P-EAPGL Lecture Section: D Location: New Hall TC 11 Evans M-W-F 2:40 3:50 p.m. Course Code: R9J4P-EAPGL Lecture Section: E Location: New Hall TC 11 Kiedrowicz M-W 6:00 7:50 p.m. Course Code: 6WLMT-NDHAW Lecture Section: F Location: New Hall TC 11 Vanderhoef T-R 2:00 3:50 p.m. Course Code: WKYWG-YKQJT Instructor: Mrs. Heather T.H. Evans Office: 202 College #102 hevans@carrollu.edu Office Phone: Office Hours: T 2:00-4:00p, W 12:05-1:05p *Home Phone: * R 11:00a-12:00p or by appointment *Mobile: TX ok* Instructor: Mr. Ken Kiedrowicz Office: Lowry 212 s: kpkiedro@carrollu.edu kkiedrowicz@saintcats.org Office Hours: M 5:00 6:00 pm by appointment Phone: Instructor: Mr. David Carr Office: Maxon 109/202 College #102 dcarr@carrollu.edu Phone: Office Hours: TR 12:15-1:15p Instructor: Mr. Kurt Vanderhoef Office: TC 11 kvanderh@carrollu.edu Phone: Office Hours: TR 4:00-4:30p

2 Required Materials No textbook will be needed for this course. However, How to be a Great Math Student by Richard Manning Smith is suggested and available at the bookstore for purchase if you wish. Instructional materials, exercises, and assessments will be accessed online using the ALEKS program. ALEKS is a webbased, artificial intelligent assessment and learning system. ALEKS uses adaptive questioning to quickly and accurately determine what you know and do not know of course topics, and then provides instruction on the topics you are most ready to learn. (This is in addition to instruction provided from your lecture instructor). Access to ALEKS will be gained through purchase of ALEKS student user ID # found in the "User's Guide" manual at the Carroll University Bookstore. The ULR for the ALEKS is the course code is listed above, and your student user ID can be found on your access card in the back of your ALEKS user's guide manual. Do not remove plastic until you are certain you are in the correct course as this makes the manual not returnable. If you are having difficulty loading ALEKS, contact ALEKS customer support at or ITS Help Desk at helpdesk@carrollu.edu for further installation help. Suggested Supplies 1. Pencil with eraser 2. Large Binder/Notebook 3. Scientific or graphing calculator (TI-30 or TI-84) Prerequisites The prerequisites for this course are one year of high school algebra and one of geometry, MAT 098 or placement recommendation. Intermediate Algebra is intended for students who lack the mathematical preparation required for MAT 104, 106, 112, 130 and CMP 112. Course Outcomes Upon successful completion of Intermediate Algebra, students should be able to: identify properties of real numbers and apply the properties to rewrite algebraic expressions simplify and perform operations with algebraic expressions including polynomial, rational, exponential, and radical expressions identify functions and their domains and ranges solve linear, rational, and radical equations as well as linear inequalities and be able to apply them graph linear equations and inequalities and quadratic equations. solve systems of equations in two variables and their applications; solve systems of inequalities using graphing. solve higher degree equations using factoring, completing the square, even and odd power properties, and quadratic formula Grades Grading Scale A 4.00 Please see attached Grade Calculator & AB 3.50 Point Conversion Tables for more details B 3.00 at the end of the syllabus BC C D F ALEKS Assessments Upon logging into ALEKS, you will be prompted to take an initial assessment. This assessment is designed to diagnose your individualized learning state. Throughout the course, ALEKS will periodically require additional assessments (in general, every 10 hours and/or 20 topics). Please take these assessments seriously and try to answer each question correctly and by yourself. There is no partial credit, so take your time and enter answers carefully. If you pass on problems that are solvable with some effort, ALEKS will conclude that you know less than you actually do. This will lengthen the number of topics ALEKS thinks you will need to master and the time required to do so. Alternatively, if you

3 get help from text or others, ALEKS will conclude that you know more than you do and give you problems that are too difficult. This will also take more time as ALEKS adjusts to your incorrect answers in the learning mode to try to find your current learning state. On any ALEKS assessment, you can gain and lose individual topics in your pie pieces. Your final exam is an ALEKS assessment. Homework: Hours, Topic Checks and Extra Credit To master course content, most students will need to spend a minimum of 6-8 hours per week working on course material with the ALEKS program. Since this program individualizes instruction, you will have to make sure that you spend enough time on ALEKS to adequately prepare for scheduled quizzes and tests. This program logs the hours spent and your progress for you and your instructor to monitor. There will be six topic checks this semester to ensure you are completing and retaining topics on your pie. You must have ALL topics done in listed chapters on date listed to receive points. To receive the full points for your hours, you will need to spend a minimum of 90 hours on ALEKS by the end of the semester. Those falling short on hours, but obtaining an 88% or higher average on the three tests and final exam, will receive full the 40 points regardless of less hours spent. Hours above the required 90 at the end of the semester may be applied for up to 15 extra credit points. Your hours will be tallied at your final exam time. (To calculate your points, add or subtract ½ point from 40 for each hour you are over or under the required 90 respectively). Quizzes/Tests Homework quizzes will be assigned throughout the semester with assigned due dates. These are available to you on ALEKS at any time and must be completed before the due date outside lecture. If you fail to take the quiz prior to the due date, the quiz will become unavailable, and you will receive a zero for that quiz. You may work ahead on quizzes if you feel that you have mastered material to be covered on quiz, and are allowed up to one retake prior to quiz deadline date for each quiz. You may use notes and calculator on homework quizzes, but this is discouraged as you will not be able to use either on your tests. Three proctored tests and a cumulative final are scheduled to be given throughout the course and will NOT be open note. You may only use the calculator provided by ALEKS on these assessments when it is provided. You will be required to submit a neat and organized written record of problems, work, and answers used on your three individual ALEKS in-class tests and final. While quizzes and tests will focus on given topics, they may cover material previously assessed. You may earn the right to retake each of these tests at a specific time to be announced by having perfect attendance and averaging at least 4 hours a week on ALEKS during the period that test material was covered! Early Course Completion If you finish all the objectives from all 9 chapters and all 8 homework quizzes before the third test, you may attempt to complete the course early. To do this, you must take two proctored ALEKS assessments in a row and score above 88% on each. Your final overall grade will use the highest score of these two assessments for Test 3 and Final Exam score. Math Help and More Extra Credit We cannot help students if we do not know there is a problem! Please let us know immediately if you are having any concerns or difficulties! There are many places to go for math help. ALEKS has various multimedia tutorials available for each problem type, and we have loaded video lectures on "My Courses" on various topics. We are available for office hours and by appointment. You will also have time to seek individual help during your assigned lab section from your instructor and the MAT 101 Coaches in the Learning Commons. Intermediate Algebra Textbooks are available for reference in the Library. MAT 101 Coaches are available to work with you on course content, study strategies and assist you with ALEKS program in the Learning Commons. Working with coaches is free and voluntary, but worth extra credit if you choose! Students may work with coaches as often as they choose. A session schedule can be found online. For information about the program as well as session schedule/updates, please visit: You are encouraged to attend the MAT 101 Coaches office hours, Learning Commons' workshops, and use the Math Center tutors for additional help. There is no charge to you for any of these services and hours are available throughout the week. You may apply the hours spent utilizing the three opportunities listed above for up to 20 extra-credit points in the course. Please see attached Learning Commons Record. You are responsible for keeping track of this documentation to turn into your instructor in order to receive extra credit points earned. Math Center schedule can be found at:

4 Additional Supplementary Resources Available at: Absent/Tardy Policy Your attendance is expected and required for classes. Any known absences for class or missed work must be coordinated with the instructor in advance and receive prior approval from the instructor to be considered to make-up the credit. A point will be deducted from your total grade points for each class meeting that is unexcused and work due that day will receive a zero. Please contact you instructor of any absence regardless of reason. Appropriate medical documentation will be required to excuse you for any illness-related issues. Upon passing a quiz with an 83% or better prior to due date, you may contact your instructor with your score to obtain approval to forego lectures covering material from such quiz. You may use this time to work on course content individually IN CLASS. Accommodations for Disabilities Any requests for accommodations must be made through Disability Services Coordinator Marty Bledsoe. She may be reached at or mbledsoe@carrollu.edu. Appropriate accommodations will be made once notification from Ms. Bledsoe is communicated with your instructor. Academic Integrity Policy All work on assignments, quizzes, and tests is expected to be your own and represent your ability in course content. In addition, you should be the only one that logs into your ALEKS account, so please guard your login and password. The Carroll University Academic Integrity Policy is located in your student handbook. Please familiarize yourself with this policy. If a student violates this policy in any way, the instructor or college reserves the right to impose a sanction of failure on the assignments/assessment or failure in the course. The instructor and the College reserve the right to modify, amend, or change the syllabus (course requirements, curriculum, grading policy, etc.) as the curriculum and/or program require(s). For Technical Support from ALEKS: ALEKS at support@aleks.com. Include date and time of incident, your full name, login, Carroll University, and detailed description of specific problem and where specifically on site it occurred. Be sure to copy your instructor and please remember to use formal writing not chat.

5 COURSE TOPICS Chapter 1 - The Real Numbers (43 topics, due on 09/17/13 Section 1.1 (5 topics) Ordering integers Absolute value of a number Integers and rational numbers Rational and irrational numbers Set builder notation Section 1.2 (11 topics) Integer addition: Problem type 2 Integer subtraction Integer multiplication and division Signed fraction addition: Basic Signed fraction addition: Advanced Signed fraction multiplication with three numbers Signed decimal addition with three numbers Properties of addition Properties of real numbers Perimeter of a square or a rectangle Area of a square or a rectangle Section 1.3 (18 topics) Exponents and integers: Problem type 1 Exponents and integers: Problem type 2 Evaluating expressions with exponents of zero Writing a positive number without a negative exponent Writing a negative number without a negative exponent Writing a simple algebraic expression without negative exponents Introduction to the product rule of exponents Product rule with positive exponents Product rule with negative exponents Quotients of expressions involving exponents Quotient rule with negative exponents: Problem type 1 Introduction to the power rule of exponents Power rule with positive exponents Power rule with negative exponents: Problem type 1 Power rule with negative exponents: Problem type 2 Scientific notation with positive exponent Scientific notation with negative exponent Multiplying and dividing numbers written in scientific notation Section 1.4 (9 topics) Mixed arithmetic operations with integers Evaluating a linear expression in two variables Evaluating a quadratic expression in one variable Exponents and order of operations Distributive property: Whole number coefficients Distributive property: Integer coefficients Combining like terms: Integer coefficients Combining like terms: Advanced Combining like terms in a quadratic expression Chapter 2 - Linear Equations and Inequalities (54 topics, due on 10/07/13 Section 2.1 (14 topics) Additive property of equality with integers Additive property of equality with a negative coefficient Multiplicative property of equality with whole numbers Multiplicative property of equality with signed fractions Multiplicative property of equality with integers Solving a two-step equation with integers Solving a two-step equation with signed fractions

6 Section 2.2 (10 topics) Section 2.3 (4 topics*) Section 2.4 (9 topics) Section 2.5 (14 topics) Section 2.6 (5 topics) Solving a linear equation with several occurrences of the variable: Variables on the same side and distribution Solving a linear equation with several occurrences of the variable: Variables on both sides and fractional coefficients Solving a linear equation with several occurrences of the variable: Variables on both sides and distribution Solving a linear equation with several occurrences of the variable: Variables on both sides and two distributions Solving a linear equation with several occurrences of the variable: Fractional forms with binomial numerators Solving equations with zero, one, or infinitely many solutions Solving a fraction word problem using a linear equation of the form Ax = B Introduction to algebraic symbol manipulation Algebraic symbol manipulation: Problem type 1 Algebraic symbol manipulation: Problem type 2 Writing a one-step variable expression for a real-world situation Translating a sentence into a one-step equation Translating a sentence into a two-step expression Solving a decimal word problem using a linear equation of the form Ax + B = C Finding the side length of a rectangle given its perimeter or area Finding the perimeter or area of a rectangle given one of these values Circumference and area of a circle Writing a one-step variable expression for a real-world situation Translating a sentence into a one-step equation Translating a sentence into a two-step expression Solving a word problem with two unknowns using a linear equation Solving a value mixture problem using a linear equation Solving a percent mixture problem using a linear equation Solving a distance, rate, time problem using a linear equation Finding the sale price given the original price and percent discount Finding the original price given the sale price and percent discount Finding the percentage increase or decrease Computations from circle graphs Simple interest Solving a word problem involving rates and time conversion Solving a linear inequality: Problem type 1 Solving a linear inequality: Problem type 2 Solving a linear inequality: Problem type 3 Solving a linear inequality: Problem type 4 Solving a linear inequality: Problem type 5 Solving a compound linear inequality: Problem type 1 Solving a compound linear inequality: Problem type 2 Graphing a linear inequality on the number line Graphing a compound linear inequality on the number line Translating a sentence into a simple inequality Writing a compound inequality Writing a simple inequality for a real-world situation Word problem with linear inequalities: Problem type 1 Set builder and interval notation Simple absolute value equation Solving an equation involving absolute value: Basic Solving an equation involving absolute value: Advanced Solving an inequality involving absolute value Solving an inequality involving absolute value: Basic

7 Chapter 2 Supplementary Topics (1 topic) Union and intersection of finite sets (*) Some topics in this section are also covered in a previous section of this Objective. Topics are only counted once towards the total number of topics for this Objective. Chapter 3 - Graphs and Functions (32 topics, due on 10/15/13 Section 3.1 (9 topics) Reading a point in the coordinate plane Plotting a point in the coordinate plane Finding a solution to a linear equation in two variables Identifying solutions to linear equations in two variables Graphing a line given the x- and y-intercepts Graphing a line given its equation in slope-intercept form Graphing a line given its equation in standard form Graphing a vertical or horizontal line Finding x- and y-intercepts of a line given the equation: Advanced Section 3.2 (4 topics) Graphing a line through a given point with a given slope Finding slope given the graph of a line on a grid Finding slope given two points on the line Finding the slope of a line given its equation Section 3.3 (9 topics) Writing an equation of a line given the y-intercept and another point Writing the equation of a line given the slope and a point on the line Writing the equation of the line through two given points Writing the equations of vertical and horizontal lines through a given point Writing an equation and drawing its graph to model a real-world situation Application problem with a linear function: Problem type 1 Application problem with a linear function: Problem type 2 Slopes of parallel and perpendicular lines: Problem type 1 Slopes of parallel and perpendicular lines: Problem type 2 Section 3.4 (3 topics) Graphing a linear inequality in the plane: Standard form Graphing a linear inequality in the plane: Vertical or horizontal lines Graphing a linear inequality in the plane: Slope-intercept form Section 3.5 (7 topics) Function tables Introduction to functions: Notation and graphs Domain and range from ordered pairs Domain and range from the graph of a continuous function Domain and range from the graph of a piecewise function Identifying functions from relations Vertical line test Chapter 4 - Solving Systems of Linear Equations and Inequalities (13 topics, due on 10/23/13 Section 4.1 (6 topics) Identifying solutions to linear equations in two variables Classifying systems of linear equations from graphs Graphically solving a system of linear equations Solving a simple system using substitution Solving a system of linear equations using elimination with multiplication and addition Solving a system that is inconsistent or consistent dependent Section 4.3 (5 topics) Solving a word problem involving a sum and another simple relationship using a system of linear equations Solving a value mixture problem using a system of linear equations Solving a distance, rate, time problem using a system of linear equations Solving a percent mixture problem using a system of linear equations Solving a tax rate or interest rate problem using a system of linear equations

8 Section 4.4 (2 topics) Writing a multi-step inequality for a real-world situation Graphing a system of linear inequalities Chapter 5 - Polynomials (31 topics, due on 11/01/13 Section 5.1 (4 topics) Degree and leading coefficient of a polynomial in one variable Degree of a multivariate polynomial Simplifying a sum or difference of two univariate polynomials Simplifying a sum or difference of three univariate polynomials Section 5.2 (8 topics) Product rule with positive exponents Multiplying a monomial and a polynomial: Univariate with positive leading coefficients Multiplying a monomial and a polynomial: Multivariate Multiplying binomials with leading coefficients of 1 Squaring a binomial: Univariate Multiplying conjugate binomials: Univariate Multiplying binomials in two variables Multiplication involving binomials and trinomials in two variables Section 5.3 (6 topics) Introduction to the GCF of two monomials Greatest common factor of two monomials Factoring out a monomial from a polynomial: Univariate Factoring out a monomial from a polynomial: Multivariate Factoring a multivariate polynomial by grouping: Problem type 1 Factoring a polynomial by grouping: Problem type 2 Section 5.4 (3 topics) Factoring a quadratic with leading coefficient 1 Factoring a quadratic with leading coefficient greater than 1 Factoring a quadratic polynomial in two variables Section 5.5 (3 topics) Factoring a perfect square trinomial Factoring a difference of squares Factoring a sum or difference of two cubes Section 5.6 (2 topics) Factoring a product of a quadratic trinomial and a monomial Factoring with repeated use of the difference of squares formula Section 5.7 (5 topics) Finding the roots of a quadratic equation with leading coefficient 1 Finding the roots of a quadratic equation with leading coefficient greater than 1 Solving a quadratic equation needing simplification Solving equations written in factored form Solving a word problem using a quadratic equation with rational roots Chapter 6 - Rational Expressions (40 topics, due on 11/19/13) Section 6.1 (4 topics) Ratio of multivariate polynomials Simplifying a ratio of polynomials: Problem type 1 Simplifying a ratio of polynomials: Problem type 2 Domain of a rational function Section 6.2 (4 topics) Multiplying rational expressions: Problem type 1 Multiplying rational expressions: Problem type 2 Dividing rational expressions: Problem type 1 Dividing rational expressions: Problem type 2 Section 6.3 (7 topics) Introduction to the LCM of two monomials Least common multiple of two monomials Adding rational expressions with common denominators Adding rational expressions with different denominators: ax, bx Adding rational expressions with different denominators: Multivariate

9 Adding rational expressions with different denominators: x+a, x+b Adding rational expressions with different denominators: Quadratic Section 6.4 (5 topics) Complex fractions without variables: Problem type 1 Complex fractions without variables: Problem type 2 Complex fraction: Problem type 1 Complex fraction: Problem type 3 Complex fraction: Problem type 4 Section 6.5 (5 topics) Dividing a polynomial by a monomial: Univariate Dividing a polynomial by a monomial: Multivariate Polynomial long division: Problem type 1 Polynomial long division: Problem type 2 Synthetic division Section 6.6 (10 topics) Solving a rational equation that simplifies to a linear equation: Problem type 1 Solving a rational equation that simplifies to a linear equation: Problem type 2 Solving a rational equation that simplifies to a linear equation: Problem type 3 Solving a rational equation that simplifies to a linear equation: Problem type 4 Solving a rational equation that simplifies to a quadratic equation: Problem type 1 Solving a rational equation that simplifies to a quadratic equation: Problem type 2 Solving a rational equation that simplifies to a quadratic equation: Problem type 3 Solving a proportion of the form (x+a)/b = x/c Word problem on proportions: Problem type 1 Word problem on proportions: Problem type 2 Section 6.7 (2 topics) Word problem involving multiple rates Word problem on inverse proportions Section 6.8 (3 topics) Word problem on direct variation Word problem on inverse variation Word problem on combined variation Chapter 7 - Rational Exponents and Radicals (33 topics, due on 12/03/13) Section 7.1 (7 topics) Square root of a perfect square Square root of a rational perfect square Cube root of an integer Rational exponents: Basic Rational exponents: Negative exponents and fractional bases Rational exponents: Products and quotients Rational exponents: Powers of powers Section 7.2 (10 topics) Square root simplification Square root of a perfect square monomial Simplifying a radical expression: Problem type 1 Simplifying a radical expression: Problem type 2 Simplifying a product of radical expressions Simplifying a product of radical expressions: Advanced Rationalizing the denominator of a radical expression Simplifying a higher radical: Problem type 1 Simplifying a higher radical: Problem type 2 Converting between radical form and exponent form Section 7.3 (6 topics) Square root addition Simplifying a sum of radical expressions Square root multiplication Simplifying a product of radical expressions using the distributive property Special products with square roots: Conjugates and squaring Rationalizing the denominator of a radical expression using conjugates

10 Section 7.4 (4 topics) Solving a radical equation that simplifies to a linear equation: One radical Solving a radical equation that simplifies to a linear equation: Two radicals Solving a radical equation that simplifies to a quadratic equation: One radical Solving a radical equation that simplifies to a quadratic equation: Two radicals Section 7.5 (6 topics) Using i to rewrite square roots of negative numbers Simplifying a product or quotient involving roots of negative numbers Adding and subtracting complex numbers Multiplying complex numbers Dividing complex numbers Simplifying a power of i Chapter 8 - Quadratic Equations and Inequalities (9 topics, due on 12/06/13) Section 8.1 (4 topics) Solving a quadratic equation using the square root property: Problem type 1 Solving a quadratic equation using the square root property: Problem type 2 Completing the square Solving a quadratic equation by completing the square Section 8.2 (2 topics) Applying the quadratic formula: Exact answers Solving a quadratic equation with complex roots Section 8.3 (3 topics) Writing a quadratic equation given the roots and the leading coefficient Discriminant of a quadratic equation Solving a word problem using a quadratic equation with irrational roots Chapter 9 - Quadratic Functions and the Conic Sections (3 topics, due on 12/06/13) Section 9.1 (3 topics) Graphing a parabola of the form y = ax 2 Graphing a parabola of the form y = (x-a) 2 + c Graphing a parabola of the form y = ax^2 + bx + c

11 Please submit this completed sheet, attached summaries, and complete pie printout to your instructor at the beginning of your final exam time. ***POINT CONVERSION TABLES*** Quizzes Test/Exam Points % Points % Points % Points % Points % Points % % % % % % % % % % % % % % % % % Learning Commons Make It Happen Study Skills Workshop Attendance To receive points for these LC workshops, you must have signature and contact information of the presenter and a short typed summary of what the main topics of the workshop were, at least one thing that you learned, and one change that you made based on workshop (approximately 200 words). Please include an appropriate heading on paper. Approved Workshops Topics are limited to those on study skills, test-taking, anxiety, stress relief, math specific strategies. To request a workshop to be schedule for you go to: Workshop Date/s Time Location Points Signature & Phone # of Presenter Anxiety Workshop Series TBA

12 MAT 101 Fall 2013 Grade Calculator NAME LECT Assignments (See tables for conversions) Your Points Total Points ALEKS Hours Check 5 HQ 1 16 Topic Check 9/19 Ch 1 6 HQ 2 16 Test 1 (Should have 32 hours; 19 hours needed to qualify for Test 1 Retake) 180 Topic Check 10/11: Ch HQ 3 16 HQ 4 16 Topics Check 10/28: Ch HQ 5 16 Test 2 (Should have 55 hours; 34 hours needed to qualify for Test 2 Retake) 180 Topic Check 11/9: Ch HQ 6 16 Topic Check 11/22: Ch HQ 7 16 HQ 8 16 Class Activity TBA 30 Test 3 (Should have 86 hours; 53 hours needed to qualify for Test 3 Retake) 180 Math Goals/Application/Career Exploration Writing Assignment 15 Attendance (Subtract 1 from 20 for each class hour missed) 20 Points for Hours on ALEKS 40 ( ½ point for each hour over/under. Max of 55 total points allowed.) Learning Commons Points 0 (Max of 25 points for MC coaching/tutoring, workshops, study sessions allowed.) Pie Completion Check: Ch Final Exam 180 TOTAL % = A 92-88% = AB 87-83% = B 82-78% = BC 77-70% = C 69-60% = D 59-0% = F Math 101 Coach Hours and Math Center Tutoring Extra Credit (Attach additional sheets as needed.) Date Brief Description of Content/Skills Covered Hours Points MAT 101 Coach/ MC Tutor Signature* *A MAT101 Coach or MC Tutor may only sign for hours that they worked with you. (1 hr = ½ pt)