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1 Course DMTH D Professor Leszek Kisielewski Term Spring 2012 Professor s Contact Information Office Phone Address Office Location CN (Math Lab) Office Hours Friday 11:00am-4:00pm (I m in the Math Lab CN Monday through Friday.) General Course Information Course Description Fundamentals of Mathematics and Elementary Algebra (2 semester hours) A mathematics course that offers students the opportunity to develop proficiency in solving problems involving integers, rational numbers (including ratios, percentages, and proportions), and geometric figures; interpreting and constructing tables, charts and graphs; forming equivalent algebraic expressions using various appropriate algebraic models that involve linear equations, linear systems, or linear inequalities. May be repeated. This developmental course cannot be used for degree credit. Learning Outcomes Required Texts or Materials Suggested Resources Make-up Exams See ALEKS topics 18 week subscription to ALEKS ($70.00) Math Lab / Tutors Extensions and make ups are available only in the case of universityapproved circumstances, such as official UTD business and medical emergencies. Class Attendance UT Dallas Syllabus Policies and Procedures Students are required to work IN ALEKS for at least 4 hours per week. The information contained in the following link constitutes the University s policies and procedures segment of the course syllabus. Please go to for these policies.

2 Credit/No Credit Course no letter grade is given for this course. Number of Topics Completed (out of 290) 30% Due May 14 Time spent working in ALEKS 30% 1/27 initial assessment completed 2/3 time in ALEKS (4 hours minimum) 2/10 time in ALEKS (4 hours minimum) 2/17 time in ALEKS (4 hours minimum) 2/24 time in ALEKS (4 hours minimum) 3/2 time in ALEKS (4 hours minimum) 3/9 time in ALEKS (4 hours minimum) 3/16 no time requirement (Spring Break) 3/23 time in ALEKS (4 hours minimum) 3/30 time in ALEKS (4 hours minimum) 4/6 time in ALEKS (4 hours minimum) 4/13 time in ALEKS (4 hours minimum) 4/20 time in ALEKS (4 hours minimum) 4/27 time in ALEKS (4 hours minimum) 5/4 time in ALEKS (4 hours minimum) Grading (credit) Criteria Weekly Assessments 10% 2/3 assessment 1 2/10 assessment 2 2/17 assessment 3 2/24 assessment 4 3/2 assessment 5 3/9 assessment 6 3/16 no assessment due (Spring Break) 3/23 assessment 7 3/30 assessment 8 4/6 assessment 9 4/13 assessment 10 4/20 assessment 11 4/27 assessment 12 5/4 assessment 13 Final Comprehensive Exam 30% Time and Location TBA How to get the grade of Credit for this course: A student must either earn a grade of at least 80% in the course or be TSI compliant by May 14 th. How to get No Credit for this course: A student must earn below 80% in the course and not be TSI compliant on May 14 th. The descriptions and timelines contained in this syllabus are subject to change at the discretion of the Professor.

3 Course Name: DMTH_D Course Code: 4PFUD-U4YY4 ALEKS Course: Beginning Algebra Instructor: Prof. Kisielewski Course Dates: Begin: 08/25/2011 End: 08/24/2012 Course Content: 290 topics Arithmetic Readiness (69 topics, no due date) Whole Numbers (10 topics) Introduction to exponents Writing expressions using exponents Order of operations: Problem type 1 Order of operations: Problem type 2 Order of operations with whole numbers and exponents Prime numbers Prime factorization Greatest common factor Least common multiple Simple word problem on proportions Fractions (20 topics) Equivalent fractions Simplifying a fraction Addition or subtraction of fractions with the same denominator Addition or subtraction of fractions with different denominators Fractional part of a circle The reciprocal of a number Product of a unit fraction and a whole number Product of a fraction and a whole number Introduction to fraction multiplication Fraction multiplication Division involving a whole number and a fraction Fraction division Mixed arithmetic operations with fractions Writing an improper fraction as a mixed number Writing a mixed number as an improper fraction Addition of mixed numbers with same denominator and carry Subtraction of mixed numbers with same denominator and borrowing Addition or subtraction of mixed numbers with different denominators Mixed number multiplication: Problem type 1 Mixed number division Decimals (15 topics) Decimal place value Rounding decimals Converting a decimal to a fraction Converting a fraction to a terminating decimal Converting a fraction to a repeating decimal Multiplication of a decimal by a power of ten Multiplication of a decimal by a whole number Decimal multiplication: Problem type 1 Division of a decimal by a power of ten Division of a decimal by a whole number Decimal division Word problem with one decimal operation: Problem type 1 Word problem with one decimal operation: Problem type 2 Word problem using decimal addition and multiplication Word problem using decimal subtraction and division ALEKS - Copyright 2011 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 1/6

4 Percents (9 topics) Converting between percentages and decimals Converting a percentage to a fraction Converting a fraction to a percentage Percentage of a whole number Writing a ratio as a percentage Applying the percent equation Word problem on percentage: Problem type 1 Word problem on percentage: Problem type 2 Word problem on percentage: Problem type 3 Geometry (10 topics) Supplementary and complementary angles Perimeter of a square or a rectangle Perimeter of a polygon Area of a square or a rectangle Area of a triangle Area of a piecewise rectangular figure Area between two rectangles Circumference and area of a circle Volume of a cube or a rectangular prism Volume of a cylinder Data Analysis (5 topics) Average of two numbers Mean of a data set Mean and median of a data set Mode of a data set Interpreting bar graphs Real Numbers and Variables (34 topics, no due date) Integers and Rational Numbers (22 topics) Plotting integers on a number line Writing a signed number for a real-world situation Ordering integers Integer addition: Problem type 1 Integer addition: Problem type 2 Integer subtraction: Problem type 1 Integer subtraction: Problem type 2 Integer subtraction: Problem type 3 Word problem with addition or subtraction of integers Integer multiplication and division Mixed arithmetic operations with integers Simple addition and subtraction of signed fractions Signed fraction addition: Advanced Signed fraction multiplication: Advanced Signed decimal addition Exponents and integers: Problem type 1 Exponents and integers: Problem type 2 Exponents and signed fractions Exponents and order of operations Square root of a perfect square Estimating a square root Absolute value of a number Properties of Real Numbers (4 topics) Integers and rational numbers Rational and irrational numbers Properties of addition Properties of real numbers Variables and Algebraic Expressions (8 topics) Evaluation of a linear expression in two variables Evaluation of a polynomial in one variable Distributive property: Basic Distributive property: Advanced Combining like terms: Basic Combining like terms: Advanced Combining like terms in a quadratic expression Writing a mathematical expression ALEKS - Copyright 2011 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 2/6

5 Linear Equations and Inequalities (46 topics, no due date) Linear Equations (16 topics) Additive property of equality with whole numbers Additive property of equality with integers Additive property of equality with a negative coefficient Additive property of equality with decimals Multiplicative property of equality with whole numbers Multiplicative property of equality with signed fractions Multiplicative property of equality with integers Using two steps to solve an equation with whole numbers Solving a two-step equation with integers Solving a two-step equation with signed fractions Solving a linear equation with several occurrences of the variable: Problem type 1 Solving a linear equation with several occurrences of the variable: Problem type 2 Solving a linear equation with several occurrences of the variable: Problem type 3 Solving a linear equation with several occurrences of the variable: Problem type 4 Solving a linear equation with several occurrences of the variable: Problem type 5 Solving equations with zero, one, or infinitely many solutions Inequalities (9 topics) Writing an inequality Writing a compound inequality 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 Graphing a linear inequality on the number line Graphing a compound linear inequality on the number line Applications (21 topics) Introduction to algebraic symbol manipulation Algebraic symbol manipulation: Problem type 1 Algebraic symbol manipulation: Problem type 2 Translating sentences into equations Translating sentences into two-step expressions Solving a fraction word problem using a simple linear equation Solving a word problem using a linear equation: Problem type 1 Solving a word problem using a linear equation: Problem type 2 Solving a word problem using a linear equation: Problem type 3 Solving a value mixture problem using a linear equation Solving a rate problem using a linear equation Simple absolute value equation Converting between temperatures in Fahrenheit and Celsius Finding the value for a new score that will yield a given mean Sum of the angle measures of a triangle Vertical angles and linear pairs Finding the side length of a rectangle given its perimeter or area Perimeters and side lengths with variables Word problem involving area and perimeter of a rectangle Writing an inequality for a real-world situation Word problem with linear inequalities: Problem type 1 Functions, Lines, and Systems of Equations (41 topics, no due date) Sets, Relations, and Functions (7 topics) Set builder notation Union and intersection of finite sets Set builder and interval notation Function tables Domain and range from ordered pairs Identifying functions from relations Vertical line test Graphing Linear Equations and Inequalities (10 topics) Reading a point in the coordinate plane Plotting a point in the coordinate plane 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 ALEKS - Copyright 2011 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 3/6

6 Graphing a line through a given point with a given slope Graphing a vertical or horizontal line Graphing a linear inequality in the plane: Problem type 1 Graphing a linear inequality in the plane: Problem type 2 Graphing a linear inequality in the plane: Problem type 3 Properties of Lines (16 topics) Solutions to a linear equation in two variables: Problem type 1 Solutions to a linear equation in two variables: Problem type 2 Y-intercept of a line Finding x- and y-intercepts of a line given the equation in standard form Finding the slope of a line given its equation Finding slope given the graph of a line on a grid Finding slope given two points on the line Writing an equation of a line given the y-intercept and a 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 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 Interpreting line graphs Systems of Linear Equations (8 topics) 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 Solving a system that is inconsistent or consistent dependent Solving a word problem using a system of linear equations: Problem type 1 Solving a word problem using a system of linear equations: Problem type 2 Solving a word problem using a system of linear equations: Problem type 3 Integer Exponents and Polynomials (41 topics, no due date) Exponents (17 topics) 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 Product rule of exponents Multiplying monomials Product rule of exponents in a multivariate monomial Quotients of expressions involving exponents Quotient rule with negative exponents 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 Using the power and product rules to simplify expressions with positive exponents Scientific notation with positive exponent Scientific notation with negative exponent Multiplying and dividing numbers written in scientific notation Polynomial Arithmetic (10 topics) Simplifying a sum or difference of polynomials Simplifying a polynomial expression Multiplying a monomial and a polynomial: Problem type 1 Multiplying a monomial and a polynomial: Problem type 2 Multiplying binomials: Problem type 1 Squaring a binomial Multiplying binomials: Problem type 2 Multiplying binomials: Problem type 3 Multiplying polynomials Degree and leading coefficient of a polynomial in one variable Factoring (14 topics) Factoring a quadratic with leading coefficient 1 Factoring a quadratic with leading coefficient greater than 1 Factoring a perfect square trinomial ALEKS - Copyright 2011 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 4/6

7 Factoring a quadratic polynomial in two variables Factoring a product of a quadratic trinomial and a monomial Factoring a difference of squares Factoring with repeated use of the difference of squares formula Factoring a sum or difference of two cubes Introduction to the GCF of two monomials Greatest common factor of two monomials Factoring out a monomial from a polynomial: Problem type 1 Factoring out a monomial from a polynomial: Problem type 2 Factoring a multivariate polynomial by grouping: Problem type 1 Factoring a multivariate polynomial by grouping: Problem type 2 Rational Expressions and Proportions (31 topics, no due date) Simplifying Expressions (18 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 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 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 Adding rational expressions with different denominators: x+a, x+b Adding rational expressions with different denominators: Quadratic Simplifying a ratio of polynomials: Problem type 1 Ratio of multivariate polynomials Solving Equations (9 topics) Solving a proportion: Basic Solving a proportion: Advanced Domain of a rational function 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 Applications (4 topics) Finding unit rates Word problem on rates Word problem involving multiple rates Word problem on proportions: Problem type 1 Radicals and Rational Exponents (14 topics, no due date) Square Roots (11 topics) Square root of a rational perfect square Square root of a perfect square monomial Square root simplification Simplifying a radical expression: Problem type 1 Simplifying a radical expression: Problem type 2 Square root addition Simplifying a sum of radical expressions Square root multiplication Simplifying a product of radical expressions Simplifying a product of radical expressions using the distributive property Domain of a square root function Pythagorean Theorem and the Distance Formula (2 topics) Pythagorean Theorem Distance between two points in the plane Rational Exponents (1 topic) ALEKS - Copyright 2011 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 5/6

8 Cube root of an integer Complex Numbers and Quadratic Equations (14 topics, no due date) Quadratic Equations and Functions (10 topics) Solving equations written in factored form 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 Even root property Solving an equation with exponent using the even-root property Completing the square Solving a quadratic equation by completing the square Solving a quadratic equation using the quadratic formula Discriminant of a quadratic equation Graphing (4 topics) Finding the x-intercept(s) and the vertex of a parabola Graphing a parabola: Problem type 1 Graphing a parabola: Problem type 2 Graphing a parabola: Problem type 3 ALEKS - Copyright 2011 UC Regents and ALEKS Corporation. ALEKS is a registered trademark of ALEKS Corporation. P. 6/6

9 How to Subscribe to ALEKS 1. Go to aleks.com on the web. 2. Follow the link anchored by SIGN UP NOW! 3. You are using ALEKS with a class. Enter the course code 4PFUD U4YY4, then continue.

10 4. Confirm that you are enrolling in DMTH_D , Beginning Algebra with Professor Kisielewski at the University of Texas at Dallas. Then continue. 5. You will have to enter a twenty character Access Code. You do not have one, so purchase an access code by following the purchase an access code online link.

11 6. Start your purchase of the 18 week Access Code by following the Higher-Ed 1-sememester (18 weeks) link. 7. Complete the purchase. 8. Once you have your 20 character code, enter it: 9. Now complete the registration process in ALEKS making sure that you make a note of your login name and password for ALEKS as you will be using them every time you need to work in ALEKS. If you need help with the process please see your professor.

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