MATH 1314 College Algebra 3:3:1 South Plains College Arts & Sciences Mathematics Jay Driver Summer I 2010
Instructor: Jay Driver Office: M102 (mathematics building) Telephone: (806) 716-2780 Email: jdriver@southplainscollege.edu Office Hours: by appointment South Plains College Mathematics Department College Algebra MATH 1314 Course Syllabus Summer I 2010 Course Description: MATH 1314. COLLEGE ALGEBRA. (3:3:1) Prerequisite: Two units of high school algebra or MATH 0320. A standard course in college algebra. Quadratic equations; ratio and proportion; variation, binomial theorem; progressions; inequalities; complex numbers; theory of equations; determinants and matrices; linear programming; mathematical induction; permutations and combinations. (copied from the current SPC catalog) Course Objectives: Successful completion of this course should reflect mastery of the following objectives. Chapter and section numbers are indicated in parentheses. 1. Solve and graph problems involving linear, quadratic, exponential, and logarithmic functions; (1.2, 1.3, 1.5, 1.6, 2.1, 2.2, 2.3, 2.4, 3.1, 4.1, 4.2, 4.3, 4.4) 2. Solve and graph linear, quadratic, and rational inequalities; (1.7, 3.6, 5.5) 3. Identify and simplify complex numbers; (1.4) 4. Apply midpoint, distance, and circle formulas; (2.8) 5. Analyze and graph polynomial functions; (3.2, 3.3, 3.4) 6. Analyze and graph rational functions; (3.5) 7. Create and solve systems of equations with algebraic techniques, with matrix techniques, and with determinants; (5.1, 5.2, 5.4, 6.1, 6.5) 8. Apply the Binomial Theorem to expand binomials of higher degree. (8.5) Attendance and Punctuality: Attendance and effort are the most important activities for success in this course. Class attendance may be taken at any time during the class period, so do not be late or leave early. You may be dropped from this course with a grade of X or F if you are absent for two consecutive classes or if you exceed three absences throughout the summer session. Be on time and turn off any cell phones or pagers before entering the classroom. Textbook: Blitzer, R. (2010). College Algebra, 5 th ed. New Jersey: Pearson Prentice Hall. ISBN 978-0-321-55983-8. -OR- Blitzer, R. (2007). College Algebra, 4 th ed. New Jersey: Pearson Prentice Hall. ISBN 0-13-219141-5. Assignments & Grading: Homework assignments will be made at each class meeting and turned in at the next class meeting. Keep all class materials (notes, handouts, homework, quizzes, and exams) organized in a notebook (3-ring binder). These materials will be turned in for grading at each exam. Please make certain all materials accompany you to each class meeting. No late assignments will be accepted. Daily work (homework, quizzes, notebook) will count for 20% of the final grade, while all exams count for 80% of the final grade. Expect four major exams (20% each) throughout the course. Your final average in the course will determine the letter grade posted on your transcript. This grade is determined by the following scale: A (90-100%), B (80-89%), C (70-79%), D (60-69%), F (0-59%). Supplies: You will need pencils, a scientific or graphing calculator, notebook paper, graph paper, and a 3-ring binder. Calculators on cell phones, TI-89 or TI-92 calculators, or any other electronic devices will not be allowed during testing without permission from the instructor.
Supplementary Course Information & Tutoring: WebCT is the online course management system that will be utilized for this course. This course syllabus, as well as any class handouts can be accessed through WebCT. Login at http://spc.blackboard.com. The user name and password should be the same as the MySPC and SPC email. User name: first initial, last name, and last 4 digits of the Student ID Password: Original CampusConnect Pin No. (found on SPC acceptance letter) Free tutoring and video tapes are available in room M116. Digital versions of these tutorial videos can be viewed on your personal computer at the WebCT address given above. Check WebCT often for the latest tutoring schedule and course supplements (handouts, online practice quizzes, additional notes, sample problems for practice, etc.). Disability: Students with disabilities, including but not limited to physical, psychiatric, or learning disabilities, who wish to request accommodations in this class should notify the Special Services Office early in the semester so that the appropriate arrangements may be made. In accordance with federal law, a student requesting accommodations must provide acceptable documentation of his/her disability to the Special Services Coordinator. For more information, call or visit the Special Services Office in the Student Services building, 894-9611 ext. 2529. Equal Opportunity: South Plains College strives to accommodate the individual needs of all students in order to enhance their opportunities for success in the context of a comprehensive community college setting. It is the policy of South Plains College to offer all educational and employment opportunities without regard to race, color, national origin, religion, gender, disability or age. Diversity: In this class, the teacher will establish and support an environment that values and nurtures individual and group differences and encourages engagement and interaction. Understanding and respecting multiple experiences and perspectives will serve to challenge and stimulate all of us to learn about others, about the larger world and about ourselves. By promoting diversity and intellectual exchange, we will not only mirror society as it is, but also model society as it should and can be.
Outline for Exam 1 Solving Equations & Inequalities June 1 Section 1.2 Linear & Rational Equations o Solve linear equations in one variable 1-15 odd, 61, 63 o Solve linear equations containing fractions 17-29 odd o Solve rational equations with variables in the denominators 31-49 odd, 57, 59, 67, 71, 79 June 2 Section 1.3 Models & Applications June 3 Monday, June 7 June 8 o Use linear equations to solve application problems 21, 27, 29, 31, 33, 37, 39, 43, 45, 47, 55 (Blizter 5 th ed.: 1, 3, 7, 21, 25, 27, 29, 35, 37, 45, 49, 52, 86.) o Solve a formula for a variable 63, 67, 75, 79 (Blizter 5 th ed.: 57, 61, 69, 73) Section 1.4 Complex Numbers o Add and subtract complex numbers 3, 5, 7, 29, 31 o Multiply complex numbers 9, 13, 15, 17, 19, 33, 35, 37, 39, 43 o Divide complex numbers 21, 23, 25, 27 Section 1.5 Quadratic Equations o Solve by factoring 3, 7, 9, 13 o Solve by the square root property 17, 23, 25, 33 o Solve by completing the square 51, 57, 61, 63 o Solve by the quadratic formula 65, 71, 73 o (Mixed methods) 89, 97, 101 Section 1.6 Other Types of Equations o Solve polynomial equations by factoring 1, 7, 9 o Solve radical equations 11, 13, 17, 23, 25 o Solve equations with rational exponents 33, 37 o Solve equations that are in a quadratic form 41, 49, 51 o Solve equations involving absolute value 61, 65, 69, 71, 73 Section 1.7 Linear & Absolute Value Inequalities o Solve linear inequalities 29, 31, 37, 41, 45 o Solve compound inequalities 51, 55, 57 o Solve absolute value inequalities 63, 71, 73, 77, 81, 91, 93 Exam 1 (20%)
Outline for Exam 2 Polynomial & Rational Functions & Inequalities Sections 2.1 & 2.2 Functions & Their Graphs June 9 June 10 Monday, June 14 June 15 June 16 o Find the domain and range of a relation 2.1 # 1-9odd o Determine whether a relation is a function 2.1 # 1-9odd, 55-63odd o Determine whether an equation represents a function 2.1 # 11-25odd o Evaluate functions 2.1 # 27, 29, 33, 35, 37, 65, 67, 69, 71, 73, 75 o Identify the domain and range of a function from its 2.1 # 77, 79, 81, 83, 91 graph o Find and simplify a function s difference quotient 2.2 # 3, 9, 13, 17 (Blitzer 5 th ed.: 57, 63, 67, 71) o Evaluate piecewise functions 2.2 # 23, 25, 27 (Blitzer 5 th ed.: 37, 39, 41) o Identify intervals on which a function is increasing, decreasing, or constant 2.2 # 29-39odd (Blitzer 5 th ed.: 1-11 odd) o Locate maxima and minima of a function 2.2 # 41, 43, 61, 63 (Blitzer 5 th ed.: 13, 15, 33, 35) o Identify odd and even functions and their symmetries 2.2 # 45-59odd (Blitzer 5 th ed.: 17-31 odd) Section 2.3 Linear Functions & Slope o Calculate the slope of a line given two points 1-9odd o Write and graph the equation of a line given its slope 11, 13, 15, 21, 23 and one point o Write and graph the equation of a line given two 25, 27, 29, 33, 35, 37 points o Graph lines 39, 45, 49, 51, 57, 61, 63 Section 2.4 More on Slope o Find the slopes and equations of parallel and 1-11odd perpendicular lines o Find a function s average rate of change 13, 15, 17 Section 2.8 Distance, Midpoint & Circles o Find the distance between two points 1, 3, 7, 15, 17 o Find the midpoint of a line segment 19, 23, 25, 29 o Write and graph the equation of a circle in standard 31, 33, 35, 43, 45, 49, 53, 57, form 59 (Blitzer 5 th ed.: 31, 33, 35, 43, 45, 53, 57, 61, 63) Section 3.1 Quadratic Functions o Use the vertex, intercepts, and the axis of symmetry to graph parabolas o Determine the maximum or minimum value of a quadratic function Section 3.2 Polynomial Functions & Their Graphs o Identify and graph polynomials given in factored form based on the zeros, their multiplicity, and the leading coefficient Sections 3.3 & 3.4 Roots of Polynomials 1-8all, 9, 11, 13, 15, 17, 19, 21, 25, 29, 37 39, 41, 43 41, 43, 45, 47, 51, 55, 57, 59, 61 o Factor, find the roots, and sketch polynomials 3.4 # 39, 41, 43, 45, 51 o Write a polynomial functions given its zeros and 3.4 # 25, 27, 31 characteristics about its graph Exam 2 (20%)
Outline for Exam 3 Rational Functions; Polynomial & Rational Inequalities; Exponential & Logarithmic Functions and Equations June 17 Section 3.5 Rational Functions & Their Graphs o Identify the domain of rational functions 1-19 odd o Find vertical and horizontal asymptotes of rational functions 21-35 odd Monday, June 21 June 22 June 23 (last day to drop a class) o Graph rational functions Section 3.6 Polynomial & Rational Inequalities o Solve polynomial inequalities 37-69 every other odd 1-37 every other odd (Blitzer 5 th ed.: 1-29 every other odd, 35, 41) o Solve rational inequalities 41, 43, 49, 53 (Blitzer 5 th ed.: 45, 47, 53, 57) Section 4.1 Exponential Functions o Evaluate and solve problems involving 1-9 odd exponential functions o Graph exponential functions 19-24 all, 25-45 odd o Solve problems involving compound interest 53, 55 Section 4.2 Logarithmic Functions o Evaluate logarithms without a calculator 1-41 odd, 81-99 odd o Graph an exponential and its inverse 43, 45 (logarithmic function) on the same graph Section 4.3 Properties of Logarithms o Use log properties to condense an expression to 41-69 every other odd a single logarithm o Use log properties to expand a single logarithm 1-37 every other odd to multiple logs o Use common logs or natural logs to evaluate 71-77 odd logarithms with a calculator Section 4.4 Exponential and Logarithmic Equations o Solve exponential equations with like bases o Solve exponential equations with unlike bases (use logs) o Solve logarithmic equations involving a constant o Solve logarithmic equations with no constant (condense and drop the logs) Exam 3 (20%) 1-21 every other odd 23-47 every other odd 49-73 every other odd 77-89 every other odd
Outline for Exam 4 Solving Systems & The Binomial Theorem Sections 5.1 & 5.2 Solving 2x2 and 3x3 Systems June 24 Monday, June 28 June 29 June 30 July 1 o Solve 2x2 systems by substitution and/or elimination o Determine solutions to 2x2 inconsistent and dependent systems o Solve 3x3 systems by elimination 5.2 # 5, 9, 15 Section 5.4 Nonlinear Systems o Solve nonlinear systems by substitution and/or elimination Section 5.5 Systems of Inequalities 5.1 # 5, 9, 11, 15, 23, 27, 29, 31, 33, 37, 41 1, 5, 7, 9, 17, 19, 23, 25, 31, 35, 41 o Graph an inequality 1-23 odd o Graph a system of inequalities 27, 31, 35, 27, 39, 41, 45, 49, 53, 57, 59 Section 6.1 Matrix Solutions to Systems o Use matrices and Gaussian elimination (or Gauss-Jordan elimination) to solve a 2x2 and 3x3 system Section 6.5 Determinants & Cramer s Rule 1-11 odd, 27, 29, 35, 39 (Blitzer 5 th ed.: 1-11 odd, 21, 23, 29, 33) o Solve a 2x2 system using Cramer s Rule 1-13 odd, 17, 21, 23 o Solve a 3x3 system using Cramer s Rule 27, 29, 33, 37 Section 8.5 The Binomial Theorem o Expand a binomial 1-9 odd, 13, 19, 27 o Find a particular term in a binomial expansion 41, 45, 47 Review/preparation for final exam Comprehensive Final Exam (20%)