Precalculus I – MTH 167 – Section 1– Fall 2018 Department of Mathematics Class: MWF 9:10 am-10:00am SPT: MWF 10:15 am-11:05 am
Instructor :Ledjas Zafiri Office:RT1511 E-mail:[email protected] Office Hours:11:15 am-1:15 pm
Prerequisite: This 3-credit mathematics course requires a grade of C or better in MTH 1XX or equivalent placement score. Textbook: Precalculus: Graphs and Models, 1st edition by Coburn and Herdlick. Online Course Content: www.aleks.com ALEKS Course Code:YDVAQ-EFLD9 Course Requirements To receive full credit for the course, students are required to: • Participate in class and the required STEM Peer Teacher (SPT) sessions daily; • Complete assignments assigned online in ALEKS and in class; • Complete six quizzes assigned in SPT sessions; • Participate in group and individual activities during class and SPT sessions; • Complete Algebra Concept Reviews and Knowledge Checks during SPT Sessions; • Complete three in-class examinations; and • Complete a common final examination.
We anticipate our students to succeed in Precalculus II. In order to ensure success, students must spend a minimum of 4 TO 5 HOURS PER WEEK OUTSIDE of class and SPT session time reviewing notes and completing your coursework including ALEKS and SPT assignments.
ALEKS Online Learning: ALEKS stands for Assessment and LEarning in Knowledge Spaces. It is an artificial intelligence engine that assesses each student individually continuously and is based upon work in a field of study known as Knowledge Space Theory. Your ALEKS course has distinct topics divided into objectives with established due dates. If you complete an objective before the due date, then the system automatically moves your learning to the next chapter.
Google Chrome is strongly recommended for a user-friendly experience.
Homework in ALEKS The ALEKS learning system is where you will complete your homework objectives. ALEKS is the best place to practice and master concepts and topics in this course. The topics from the course are divided into Pie Objectives. Each week, there will be two Pie Objectives due. You are expected to spend enough time outside of class to complete these weekly Pie Objectives. Calculators Calculators are permitted in this course. The department strongly suggests purchasing a TI 83 or TI 84. The types of calculators listed above are suggested for Calculus I & II. Anything more sophisticated that includes a Computer Algebra System (CAS), such as a TI 89, TI Nspire, will NOT be permitted for use on exams.
SPT Sessions: The instruction of this course includes required attendance and participation in the SPT sessions scheduled either before or after each class. These interactive, hands-on sessions begin with a daily agenda that include reminders, announcements, and plan for the session. Participation in SPT Sessions counts toward your Attendance and Participation credit for the course. Attendance and participation count for up to 9% of your grade, therefore lack of participation can result in up to a full letter grade difference in your grade in the course. The following are our expectations for students in SPT Sessions: • be on time, be attentive, be inquisitive and be prepared to answer questions; • engage actively in all individual, pair, and group activities; and • fully complete all SPT session assignments, including in-session Algebra Concept Reviews, Knowledge Checks and quizzes.
Disruptions, lack of participation during the SPT session, use of cell phones or other electronic devices and/or incomplete work will result in the loss of participation credit for that particular day.
Class and SPT Attendance & Participation: Attendance for both class and the SPT sessions is required and recorded. You are allowed up two (2) unjustified absences for each class and for each SPT session. NOTE: a justified absence is defined as a documented valid reason, i.e., a doctor’s note, surgery, police traffic/accident report or judicial mandatory court attendance. Justified absences must have written proof and can only be approved by the instructor.
For each unjustified absence after 2 (per class session and SPT session): one (1) point will be deducted for each Session missed. NOTE: up to a maximum of 9 percentage (9%) points can be deducted from Class and SPT Attendance & Participation. To obtain the full 9%, you must attend Class and SPT Sessions, complete all in-class and SPT assignment and activities, ask and answer questions, complete the SPT daily Algebra Concept Reviews, Knowledge Checks, and quizzes.
*Missing a total of 15+ minutes of the class or SPT session will be considered an unjustified absence.
Take-Home, Hand-Written Practice Exams: Practice Exams are broken up into two, hand-written assignments. The SPTs will distribute the first portion the week before the exam, and the second portion the week of the exam. You will be graded upon completion. In order to receive maximum credit for both portions, you must complete and be able to show work for 80% or more of the problems. Once SPTs have checked for completion, the practice exam will be reviewed during the SPT Session. Your grades will be recorded in ALEKS no later than a week after the actual exam date. Different versions of these exams will be provided on ALEKS for additional exam review.
Hand-Written Exams: Exams will be held in class and are hand-written using pencil and paper. Each exam will be similar to the material covered on the Practice Exams. They may also contain supplemental material from SPT sessions. Common Final: The final is comprehensive. Bring a graphing calculator, a photo ID, pencils and an eraser to the final exam.
The final is on Friday, Dec 14 from 10:15am to 12:15pm in MC XXX.
NOTE: If you obtain less than 50% on the final,
you will receive an F in the course.
Academic Dishonesty Cheating is strictly forbidden. Any student caught cheating on an exam or homework will receive a zero and will be referred to the Office of Judicial Affairs. Please reference the Student Code of Conduct Book at this link: https://goo.gl/zj7dB1 ( link is case sensitive)
Exam Make-up Policy: If you are going to miss an exam, you must contact the instructor immediately. (Preferably the day of.) Make- up Exams are for students who have provided a documented valid, reason for missing the exam. The following are valid reasons: doctor’s note, policy traffic accident report, judicial mandatory court attendance. You will need to communicate with the professor to set-up a make-up date.
Grading Scheme:
Required Work for Total Course Grade Percent Percentage After Final Final Grade 3 Exams (15% each) 45% 95 to 100% A 6 Practice Exams (1% each) 6% 90 to 95% A- Common Final Exam 25% 87 to 90% B+ ALEKS Pie Objectives 15% 84 to 87% B Class and SPT Attendance & Participation 9% 80 to 84% B- TOTAL Course Grade 100% 75 to 80% C+ 70 to 75% C 60 to 70% D Below 60% F
Extra Credit:
Improve Your Grade with Extra Credit Work Extra Credit Assignments Offered Extra Credit Awarded Complete Practice Final Part 1 2 points (2%) will be added With 90% or Higher to your TOTAL COURSE GRADE Complete Practice Final Part 2 2 points (2%) will be added With 90% or Higher to your TOTAL COURSE GRADE Use of Smart Technology & Electronics During Class & SPT Sessions: Use of electronic devices aside from the allowed graphing calculator is not tolerable in class unless arrangements have been made with your instructor(s) prior to the start of class and will only be granted for emergency circumstances in which you must access your phone during class time. If you are found using your phone, headphones or Smartwatch without such permission, you will be asked to put it away. Further use will constitute an unexcused absence and you will be asked to leave class and/or the SPT Session.
Cell phone use is prohibited during exams. Any student caught using their cell phone during an exam will receive a zero on the exam and will
be referred to the Office of Judicial Affairs.
ALEKS Gradebook and Grading: All required coursework and extra credit scores are recorded in ALEKS. Check them frequently, this will give you a feel for how you are doing overall in the course in a timely manner. Your midterm and final grades will be posted on CampusNet.
Computer Labs: To use the labs on campus, you will need your CSU ID number and password. You can call 216.687.5050 and have your password reset if you forgot it. You can access ALEKS using Google Chrome on any campus technology in any computer lab.
Special Accommodations: Educational access is the provision of classroom accommodations, auxiliary aids and services to ensure equal educational opportunities for all students regardless of their disability. Any student who feels he or she may need an accommodation based on the impact of a disability should contact the Office of Disability Services at 216.687.2015. The Office is located in MC 147. Accommodations need to be requested in advance and will not be granted retroactively.
Student Resources • Drop-In Lab with SPTs, RT 403 o Assistance with ALEKS Pie Objectives, Practice Exams, etc. o Every Friday from 11:30AM to 4:00PM
• Drop-In Study Center, RT 1401 o Assistance with ALEKS work (must bring your own laptop) o Monday – Friday, 9AM – 5:30PM
• Mathematics Computer Lab, RT 1530 o Student Computer Lab o Monday – Friday, 9AM – 5PM
• Math Learning Center, MC 230 o Phone: 216.687.4543 o Website: http://www.csuohio.edu/math/testingc.htm • Tutoring & Academic Success Center (TASC), MC 233 o Phone: 216.687.2012 o Email: [email protected] o Website: www.csuohio.edu/academic/tasc
• College of Science Advising Center, MC 218B o Phone: 216-687-9321 o Email: [email protected] o Website: http://sciences.csuohio.edu/advising/
• YouTube o Jenna Van Sickle (only include for 167 Syllabus) ▪ https://goo.gl/8z5FQ5 ( link is case sensitive) o Khan Academy ▪ https://www.khanacademy.org/math/precalculus
MTH 167 (MWF): Daily Course Schedule: Monday 8.27 Syllabus Review (In lab) ALEKS Initial Assessment Wednesday 8.29 Test 1: Objective 1 Topics 1-9: • Solving for a variable in terms of other variables in a linear equation with fractions • Solving a distance, rate, time problem using a linear equation • Graphing a line given its equation in slope-intercept form: Fractional & Integer slope • 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 • Graphing a line given its x- and y-intercepts • Graphing a line by first finding its x- and y-intercepts
Friday 8.31 Test 1: Objective 1 Topics 10-20: • Finding intercepts of a nonlinear function given its graph • Determining if graphs have symmetry with respect to the x-axis, y-axis, or origin • Testing an equation for symmetry about the axes and origin • Finding slope given the graph of a line on a grid • Finding slope given two points on the line • Graphing a line through a given point with a given slope • Finding the slope and y-intercept of a line given its equation in the form Ax + By = C • Writing an equation in slope-intercept form given the slope and a point • Writing the equation of the line through two given points • Writing equations of lines parallel and perpendicular to a given line through a point • Writing an equation and drawing its graph to model a real-world situation: Advanced Monday 9.3 Labor Day - No Classes Wednesday 9.5 Test 1: Objective 1 Topics 21-33: • Finding the initial amount and rate of change given a graph of a linear function • Application problem with a linear function: Finding a coordinate given the slope and a point • Application problem with a linear function: Finding a coordinate given two points • Vertical line test • Evaluating functions: Linear and quadratic or cubic • Evaluating functions: Absolute value, rational, radical • Variable expressions as inputs of functions: Problem type 3 • Domain of a rational function: Excluded values • Domain of a rational function: Interval notation • Domain of a square root function: Advanced • Finding the domain of a fractional function involving radicals
Friday 9.7 Test 1: Objective 2 Topics 1-5: • Finding inputs and outputs of a function from its graph • Domain and range from the graph of a continuous function • Domain and range from the graph of a piecewise function • Finding where a function is increasing, decreasing, or constant given the graph • Interpreting the graphs of two functions
Monday 9.10 Collect Written HW Test 1: Objective 2 Topics 6-9: • Solving an absolute value equation: Problem type 2 • Solving an absolute value equation: Problem type 3 • Solving an absolute value equation: Problem type 4 • Solving an absolute value equation of the form |ax+b| = |cx+d|
Wednesday 9.12 Test 1: Objective 2 Topics 10-13: • Graphing a cubic function of the form y = ax3 • Evaluating a piecewise-defined function • Finding local maxima and minima of a function given the graph • Finding values and intervals where the graph of a function is zero, positive, or negative
Friday 9.14 Test 1: Objective 3 Topics 1-5: • Graphing a parabola of the form y = (x-h)2 + k • Graphing a square root function: Problem type 1 • Graphing a piecewise-defined function: Problem type 1 • Graphing a piecewise-defined function: Problem type 2 • Graphing a piecewise-defined function: Problem type 3
Monday 9.17 Collect Written HW Test 1: Objective 3 Topics 6-9: • Even and odd functions: Problem type 1 • Even and odd functions: Problem type 2 • Translating the graph of a parabola: Two steps • How the leading coefficient affects the shape of a parabola Wednesday 9.19 Test 1: Objective 3 Topics 10-14: • Writing an equation for a function after a vertical translation • Translating the graph of a function: Two steps • Transforming the graph of a function by reflecting over an axis • Transforming the graph of a function by shrinking or stretching • Transforming the graph of a function using more than one transformation
Friday 9.21 Handout Practice Test #1 Test 2: Objective 1 Topics 1-5: • Using i to rewrite square roots of negative numbers • Adding or subtracting complex numbers • Multiplying complex numbers • Dividing complex numbers • Simplifying a power of i
Monday 9.24 Collect Practice Test #1 & Written HW Review- Test 1 Objective 1 Wednesday 9.26 Handback Practice Test #1 Review- Test 1 Objective 2 & 3 Friday 9.28 Exam 1 Test 1 Objectives 1-3 Monday 10.1 Test 2: Objective 1 Topics 6-9: • Solving a word problem using a quadratic equation with rational roots • Applying the quadratic formula: Exact answers • Solving a quadratic equation with complex roots • Solving a word problem using a quadratic equation with irrational roots Wednesday 10.3 Test 2: Objective 1 Topics 10-13: • Finding a difference quotient for a linear or quadratic function • Sum, difference, and product of two functions • Quotient of two functions: Basic • Quotient of two functions: Advanced Friday 10.5 Test 2: Objective 2 Topics 1-6: • Combining functions: Advanced • Composition of two functions: Basic • Expressing a function as a composition of two functions • Composition of two functions: Domain and range • Composition of two functions: Advanced • Word problem involving composition of two functions Monday 10.8 Collect Written HW Test 2: Objective 2 Topics 7-10: • Graphing a parabola of the form y = ax2 + bx + c: Integer coefficients • Graphing a parabola of the form y = ax2 + bx + c: Rational coefficients • Finding the x-intercept(s) and the vertex of a parabola • Finding the maximum or minimum of a quadratic function Wednesday 10.10 Test 2: Objective 2 Topics 11-13: • Word problem involving the maximum or minimum of a quadratic function • Writing the equation of a quadratic function given its graph • Solving a quadratic inequality Friday 10.12 Test 2: Objective 3 Topics 1-6: • Domain of a rational function: Interval notation • Finding zeros of a polynomial function written in factored form • Finding a polynomial of a given degree with given zeros: Real zeros • Finding x- and y-intercepts given a polynomial function • Matching graphs with polynomial functions • Inferring properties of a polynomial function from its graph Monday 10.15 Collect Written HW Test 2: Objective 3 Topics 7-12: • Using a graphing calculator to find local extrema of a polynomial function • Using a graphing calculator to solve a word problem involving a local extremum of a polynomial function • Polynomial long division: Problem type 1 • Polynomial long division: Problem type 2 • Polynomial long division: Problem type 3 • Using the remainder theorem to evaluate a polynomial
Wednesday 10.17 Test 2: Objective 3 Topics 13-16: • The Factor Theorem • Using a given zero to write a polynomial as a product of linear factors: Real zeros • Using a graphing calculator to find zeros of a polynomial function • Using a graphing calculator to solve a word problem involving a polynomial of degree 3
Friday 10.19 Test 2: Objective 4 Topics 1-5: • Using a given zero to write a polynomial as a product of linear factors: Complex zeros • Finding the asymptotes of a rational function: Constant over linear • Finding the asymptotes of a rational function: Linear over linear • Finding horizontal and vertical asymptotes of a rational function: Quadratic numerator or denominator • Finding the asymptotes of a rational function: Quadratic over linear
Monday 10.22 Collect Written HW Handout Practice Test #2 Test 2: Objective 4 Topics 6-11: • Graphing a rational function: Constant over linear • Graphing a rational function: Linear over linear • Graphing a rational function: Quadratic over linear • Matching graphs with rational functions: Two vertical asymptotes • Graphing a rational function with more than one vertical asymptote • Writing the equation of a rational function given its graph
Wednesday 10.24 Collect Practice Test #2 Test 2: Objective 4 Topics 12-16: • Solving a polynomial inequality: Problem type 1 • Solving a polynomial inequality: Problem type 3 • Solving a polynomial inequality: Problem type 4 • Solving a rational inequality: Problem type 1 • Solving a rational inequality: Problem type 2 Review- Test 2 Objective 1-2 Friday 10.26 Hand back Practice Test #2 Review- Test 2 Objective 3-4 Monday 10.29 Exam 2 Test 2 Objectives 1-4 Wednesday 10.31 Test 3: Objective 1 Topics 1-9: • Horizontal line test • Determining whether two functions are inverses of each other • Inverse functions: Linear, discrete • Inverse functions: Rational • Graphing an exponential function and its asymptote: f(x) = a(b)x • Graphing an exponential function and its asymptote: f(x)=b-x or f(x)=-bax • Translating the graph of an exponential function • The graph, domain, and range of an exponential function • Graphing an exponential function and its asymptote: f(x) = a(e)x-b + c Friday 11.2 Test 3: Objective 1 Topics 10-13: • Evaluating an exponential function that models a real-world situation • Evaluating an exponential function with base e that models a real-world situation • Finding a final amount in a word problem on exponential growth or decay • Converting between logarithmic and exponential equations Monday 11.5 Test 3: Objective 1 Topics 14-16: • Converting between natural logarithmic and exponential equations • Evaluating logarithmic expressions • Solving an equation of the form logba = c Wednesday 11.7 Test 3 Objective 2 Topics 1-6: • Translating the graph of a logarithmic function • Graphing a logarithmic function: Basic • The graph, domain, and range of a logarithmic function • Domain of a logarithmic function: Advanced • Expanding a logarithmic expression: Problem type 1 • Expanding a logarithmic expression: Problem type 2 Friday 11.9 Test 3 Objective 2 Topics 7-11: • Writing an expression as a single logarithm • Change of base for logarithms: Problem type 1 • Solving a multi-step equation involving a single logarithm: Problem type 1 • Solving a multi-step equation involving a single logarithm: Problem type 2 • Solving a multi-step equation involving natural logarithms Monday 11.12 No Classes Wednesday 11.14 Collect Written HW Test 3 Objective 2 Topics 12-15: • Solving an equation involving logarithms on both sides: Problem type 1 • Solving an equation involving logarithms on both sides: Problem type 2 • Solving an exponential equation by finding common bases: Linear exponents • Solving an exponential equation by finding common bases: Linear and quadratic exponents Friday 11.16 Test 3: Objective 3 Topics 1-4: • Solving an exponential equation by using logarithms: Decimal answers, basic • Solving an exponential equation by using natural logarithms: Decimal answers • Solving an exponential equation by using logarithms: Exact answers in logarithmic form • Solving an exponential equation by using substitution and quadratic factoring Monday 11.19 Collect Written HW Test 3: Objective 3 Topics 5-8: • Finding the time to reach a limit in a word problem on exponential growth or decay • Finding the time given an exponential function with base e that models a real- world situation • Finding the final amount in a word problem on continuous exponential growth or decay • Finding the rate or time in a word problem on continuous exponential growth or decay Wednesday 11.21 Handout Practice Test #3 Review- Test 3 Objective 1-2 Friday 11.23 Thanksgiving Recess-No Classes Monday 11.26 Collect Practice Test #3 & Written HW Review- Test 3 Objective 2 Wednesday 11.28 Hand Back Practice Test #3 Review- Test 3 Objective 3 Friday 11.30 Exam 3 Test 3 Objectives 1-3 Monday 12.3 Final Objective 1: • Identifying solutions to a system of linear equations • Graphically solving a system of linear equations • Solving a system of linear equations using substitution • Solving a system of linear equations using elimination with multiplication and addition • Solving a 2x2 system of linear equations that is inconsistent or consistent dependent • Solving a word problem using a system of linear equations of the form Ax + By = C • Solving a value mixture problem using a system of linear equations • Solving a distance, rate, time problem using a system of linear equations
Wednesday 12.5 Final Review- Test 1 & 2 Material Friday 12.7 Final Review- Test 2 & 3 Material