DMAT 0099 (INTERMEDIATE ALGEBRA) & MATH 1414 (COLLEGE ALGEBRA) COURSE SYLLABUS BROOKHAVEN COLLEGE MATH/SCIENCE DIVISION TEXT: College Algebra, 4/E by Beecher/Penna/Bittinger with chapter 10 from Beginning and Intermediate Algebra,4/E by Lial, Hornsby, McGinnis ISBN: 1256131598 (Custom Package 3 hole punch textbook with MyMathLab and added chapter) This course will run using interactive software called MyMathLab. Students must have access to a computer with Internet to complete the required work for this course. Students must purchase the textbook bundle listed above. DMAT 0099 CATALOG DESCRIPTION: Prerequisites: One year of high school algebra and an appropriate assessment test score or Developmental Mathematics 0098. This is a course in intermediate algebra which further develops rational expressions, roots, exponents and radicals. Also covered are quadratic inequalities, relations, functions and graphs, and systems of non-linear equations. (3 LEC) DMAT 0099 is the prerequisite for MATH 1414 and MATH 1324. MATH 1414 CATALOG DESCRIPTION: Prerequisites: Two years of high school algebra and an appropriate assessment test score or Developmental Mathematics 0099 or Developmental Mathematics 0093. This course is a study of relations and functions including polynomial, rational, exponential, logarithmic, and special functions. Other topics may include complex numbers, systems of equations and inequalities, theory of equations, progressions, the binomial theorem, matrices and determinants, mathematical reasoning skills, sequences and series, and applications. (4 LEC) This course is the prerequisite for MATH 1316. COURSE OBJECTIVES (Student Learning Outcomes) for DMAT 0099: 1. Graph lines and inequalities on the rectangular coordinate system and write equations of lines. 2. Use properties of functions and relations, identify relations which are functions, and give the domain and range of functions. 3. Solve problems which involve direct, inverse, joint, and combined variation. 4. Solve systems of equations and demonstrate this ability by solving word problems. 5. Perform operations and solve equations with expressions involving radicals, fractional exponents, complex numbers. 6. Solve quadratic equations and equations in quadratic form with real and complex solutions using various methods, and demonstrate this ability by solving word problems. 7. Solve quadratic inequalities. 8. Find the vertex of a parabola, sketch the graph and give its domain and range. 9. Solve nonlinear systems of equations and graph nonlinear inequalities.
COURSE OBJECTIVES (Student Learning Outcomes) for Math 1414: 1. Find solution sets for polynomial, rational, exponential and logarithmic equations algebraically and graphically. (EEO #2, 4) 2. Sketch the graphs of parabolas, absolute value, piecewise, rational, exponential, logarithmic and polynomial functions. (EEO #2, 4) 3. Write the equations of lines and parabolas which satisfy specific conditions. 4. Identify the geometric and algebraic properties of functions, including translations, combinations, domain, range, zeros, symmetry, and inverses. (EEO #3, 5) 5. Solve mathematical modeling applications involving polynomials, exponential and logarithmic functions. (CCIC #5, EEO #1, 4, 5,6,7) 6. Solve systems of equations using matrices. (EEO # 4) 7. Use matrix operations such as addition, subtraction, and multiplication. (EEO #1, 4) 8. Evaluate 2 x 2 determinants of square matrices. 9. Graph linear inequalities and systems of linear inequalities. (EEO #2) 10. Find general terms and the summation of n terms for arithmetic and geometric sequences. 11. Use Pascal s triangle to determine the binomial coefficients in the expansion of a binomial. 12. Use the graphing calculator to analyze graphs, to solve higher degree polynomials, systems of equations, and modeling problems. (CCIC #5, EEO #1,4, 5, 6, 7) MATH 1414 is a Tier 1 course in the Quantitative Reasoning learning category. Knowledge and skills that are important to your success in other college courses will be introduced and reinforced in Tier 1. The Quantitative Reasoning category promotes the application of mathematics to increase your ability to solve real- world problems. When you are quantitatively literate, you can use logic and critical thinking in new ways. www.dcccd.edu/core MATH 1414 will include the following Core Curriculum Intellectual Competencies: #5. CRITICAL THINKING think and analyze at a critical level (CCIC #5) MATH 1414 will include the following Core Area Exemplary Educational Objectives: #1. To apply arithmetic, algebraic, geometric, higher-order thinking, and statistical methods to modeling and solving real-world situations. (EEO #1) #2. To represent and evaluate basic mathematical information verbally, numerically, graphically, and symbolically. (EEO #2) #3. To expand mathematical reasoning skills and formal logic to develop convincing mathematical arguments. (EEO #3) #4. To use appropriate technology to enhance mathematical thinking and understanding and to solve mathematical problems and judge the reasonableness of the results. (EEO #4) #5. To interpret mathematical models such as formulas, graphs, tables and schematics, and draw inferences from them. (EEO #5) #6. To recognize the limitations of mathematical and statistical models. (EEO #6) #7. To develop the view that mathematics is an evolving discipline, interrelated with human culture, and understanding its connections to other disciplines. (EEO #7) CHAPTERS/UNITS COVERED: Chapter R: Basic Concepts of Algebra Chapter 1: Graphs, Functions, and Models Chapter 2: More on Functions Chapter 3: Quadratic Functions and Equations; Inequalities Chapter 4: Polynomial Functions and Rational Functions Chapter 5: Exponential Functions and Logarithmic Functions Chapter 6: Systems of Equations and Matrices Chapter 8: Sequences, Series, and Combinatorics
DMAT 0099.2014 INSTRUCTOR: Czarina Reyes, Ph.D. MATH 1414.2014 PHONE: 972-860-4338 SEMESTER: SPRING 2012 E-MAIL: CReyes@dcccd.edu OFFICE HOURS: K215 MW 9:20am-10:20am T 9:20am-10:20am, TR 1:00-2:00pm, F by appointment This class meets on MW from 10:30-12:20pm and on TR from 10:30-11:50 am. There is an optional Supplemental Learning Program (SLP) lab on MW from 12:30-1:30 pm and on TR from 9:15-10:30 am. All sessions are located in room K119. For extra help students are encouraged to attend SLP sessions or come to the Math Lab, K137. Lab hours are posted on the door of K137. ATTENDANCE Students are expected to attend regularly all classes in which they are enrolled and to consult with the instructor when an absence occurs. If you are unable to complete this course, it is your responsibility to withdraw formally. The withdrawal request must be received in the Registrar s Office by Thursday, April 12, 2012. Failure to do so will result in your receiving a performance grade, usually an F. If you drop a class or withdraw from the college before the official drop/withdraw deadline, you will receive a W (Withdraw) in each class dropped. Students who are receiving any form of financial aid should check with the Financial Aid Office prior to withdrawing from classes. Withdrawals may affect your eligibility to receive further aid and could cause you to be in a position of repayment for the current semester. Students who fail to attend or participate after the drop date are also subject to this policy. It is DCCCD policy that before any student can enroll for a DMAT or Math class, they must have successfully completed the prerequisite course, or else receive an appropriate score on the Accuplacer Math Assessment Test. Students who assess into any Developmental Math class MUST complete the remainder of the DMAT sequence with at least a grade of C in order to enroll into college-level Math courses. Absences for observance of a religious holy day are excused. A student whose absence is excused to observe a religious holy day is allowed to take a make-up examination or complete an assignment within a reasonable time after the absence. Effective for Fall Semester 2005, the Dallas County Community Colleges will charge additional tuition to students registering the third or subsequent time for a course. All third and subsequent attempts of the majority of credit and Continuing Education/Workforce Training courses will result in additional tuition to be charged. Developmental Studies and some other courses will not be charged a higher tuition rate. Third attempts include courses taken at any of the Dallas County Community Colleges since the Fall 2002 Semester. EVALUATION PROCEDURES For DMAT 0099, four tests and a comprehensive departmental final exam will be given. Each test will count 17.5% each and your final exam will count 20%. The final exam may be used to replace the lowest test grade of Test #1, Test #2, or Test #4. Test #3 cannot be dropped or replaced. The remaining 10% of the grade will come from homework grades assessed on MyMathlab. No make-up tests will be given and there will be no extensions given unless arrangements are made prior to the test deadline. The scale used to determine the final course grade is: 90 to 100 A 80 to 89 B 70 to 79 C 0 to 69 F TI Graphing calculator required. TI-84 PLUS calculator recommended. NO TI-89, TI-92 or TI-NSpire calculators allowed. *OVER*
For MATH 1414, five tests and a comprehensive departmental final exam will be given. Each test will count 14% each and the final exam will count 20%. The final exam may be used to replace the lowest test grade of Test #2, Test #3, Test #4, and Test #5. Test #6 (over Logarithms/Exponential Functions) cannot be dropped or replaced. Test #1 will not count toward the MATH 1414 average. The remaining 10% of the grade will come from homework assessed on MyMathlab. The homework will include both the DMAT 0099 and MATH 1414 work. No make-up tests will be given and there will be no extensions given unless arrangements are made prior to the test deadline. The scale used to determine the final course grade is: 90 to 100 A 80 to 89 B 70 to 79 C 60 to 69 D 0 to 59 F TI Graphing calculator required. TI-84 PLUS calculator recommended. NO TI-89, TI-92, or TI-NSpire calculators allowed. Scholastic dishonesty is a violation of the Code of Student Conduct. Scholastic dishonesty includes, but is not limited to, cheating on a test, plagiarism, and collusion. Cell phones are not appropriate in class. In addition, cell phones and pagers are no longer allowed in the Testing Center. We, the Math Department of BHC, take issues of dishonesty very seriously. If a student is caught violating any policy of the Testing Center, or an instructor s own policy for their particular class, the following consequences will be enforced: The minimum penalty a student will receive is a zero for the assignment/exam and the maximum penalty will be to receive an F for the course and/or academic suspension. As a college student, you are considered a responsible adult. Your enrollment indicates acceptance of the DCCCD Code of Student Conduct published in the DCCCD Catalog. https://www1.dcccd.edu/cat0506/ss/code.cfm Incomplete grades are given when an unforeseen emergency prevents a student from completing the work in a course. The division Dean must approve all I grades. Special note: If you are a student with a disability and/or special needs who requires accommodations, you should contact the Brookhaven College Special Services Office, Building S, Room S124 e-mail: bhcspecialservices@dcccd.edu phone: 972-860-4847 http://www.brookhavencollege.edu/studentsvcs/specialservices/ STOP BEFORE YOU DROP For students who enrolled in college level courses for the first time in the fall of 2007, Texas Education Code 51.907 limits the number of courses a student may drop. You may drop no more than 6 courses during your entire undergraduate career unless the drop qualifies as an exception. Your campus counseling/advising center will give you more information on the allowable exceptions. Remember that once you have accumulated 6 non-exempt drops, you cannot drop any other courses with a W. Therefore, please exercise caution when dropping courses in any Texas public institution of higher learning, including all seven of the Dallas County Community Colleges. For more information, you may access: https://www1.dcccd.edu/6drop
DMAT 0099 & MATH 1414 LINKED COURSE Textbook: Chapter 10 of Beginning and Intermediate Algebra 4/E by Lial, Hornsby, McGinnise College Algebra 4/E by Beecher, Penna, Bittinger Custom Bundle 1-256-13159-8 TENTATIVE SCHEDULE DAY TOPIC(S) 1 Introduction Class Information Supplemental Learning Program information 2 10.1: Radical Expressions and Graphs 3 10.2: Rational Exponents 4 10.3: Simplifying Radical Expressions 5 10.4: Adding and Subtracting Radical Expressions 6 10.5: Multiplying and Dividing Radical Expressions 7 Review for Test #1 and/or Test #1 in class Take Test #1: Radicals & Rational Exponents 8 1.3: Linear Functions, Slopes and Applications 9 1.4: Equations of Lines and modeling 10 1.1: Introduction to Graphing Introduction to the Graphing Calculator 11 1.2: Functions and Graphs 12 1.5: Linear Equations, Functions, Zeros, and Applications 13 2.1: Increasing, Decreasing, and Piecewise Functions; Applications 14 2.2: The Algebra of Functions 15 2.3: The Composition of Functions 16 2.4: Symmetry and Transformations 17 2.5: Variation and Applications 18 Review for Test #2 (Chapter 1) and/or Test #2 in Class 19 R.5 Warm-up/Review of Quadratics 20 3.1: The Complex Numbers 21 3.2: The Quadratic Formula/Discriminant 22 3.2: Quadratic in Form/Applications 23 3.2: Applications/Zeros of the Function 24 3.3: Graphing Quadratics by Transformations 25 3.3: Graphing Quadratics in Standard Form 26 R.7: Radical Notation and Rational Exponents 27 3.4: Solving Rational Equations and Radical Equations 28 4.6: Polynomial Inequalities 39 Review for Test #3(Chapter 3) and/or Test #3 in Class 30 6.1: Systems of Equations: Solving by Substitution and Elimination 31 6.1: Applications of Systems of Equations 32 6.2: Systems of Equations in Three Variables 33 6.4: Matrix Operations 6.6: Determinants of Square Matrices 2 x 2 34 6.3 Matrices and Gauss-Jordan Elimination Take Test #2 Functions Take Test #3 Quadratics/Radicals/Rationals
35 6.7: Systems of Inequalities 36 Review for Test #4 (Chapter 6) and/or Take Test #4 in Class Final Exam Review of Intermediate 37 Algebra Take Test #4 Matrices/Systems Final Exam procedure will be determined at a later date. Be sure to have scantron and pencil! 38 Final Exam Intermediate Algebra- NO CLASS 39 4.1: Polynomial Functions and Models 40 Advisement Day (if needed or makeup day) If a student does not pass DMAT 0099, they are to be advised to drop/withdraw from MATH 1414 for failure to meet prerequisite. 41 4.2: Graphing Polynomial Functions 42 4.3: Polynomial Division; The Remainder and Factor Theorem 43 4.4: Theorems about Zeros of Polynomial Functions 44 4.5: Rational Functions 45 Review for Test #5 46 5.1: Inverse Functions 47 5.2: Exponential Functions and Graphs 48 5.3: Logarithmic Functions and Graphs 49 5.4: Properties of Logarithmic Functions 50 5.5: Solving Exponential and Logarithmic Equations 51 5.6: Applications and Models: Growth and Decay; Compound Interest 52 Review for Test #6 (Chapter 5) And/or take Test #6 in class This test cannot be dropped/replaced in the Math 1414 average 53 8.1: Sequences and Series 54 8.2: Arithmetic Sequences and Series 8.3: Geometric Sequences and Series 55 8.7: The Binomial Theorem Review for Final Exam 56-57 Review for Comprehensive Final Exam Take Comprehensive, Departmental, Multiple Choice, Mandatory Final Exam 58 Makeup Day The instructor reserves the right to amend this syllabus as necessary. All changes will be made in writing and be put on file in the division office.