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MATH 1324 Math Analysis I Fall 2012 Instructor: Dr. Patrice Poage email: [email protected] Office: L222 Phone: 979-209-7383 Office hours: MWF: 7am-8:30am Webpage: www.tinyurl.com/drpoage TR: 12noon-1pm (and by appointment) Final Exam Schedule: MATH 1324-302 (9am class) final exam is on Friday, December 14 th , from 7:45am-9:45am. MATH 1324-304 (10am class) final exam is on Wednesday, December 12 th , from 10:15am-12:15pm. MATH 1324-305 (11am class) final exam is on Friday, December 14 th , from 10:15am-12:15pm. Course Description: Analysis I is the study of linear functions and graphs, matrices, inequalities and linear programming, simplex algorithm, mathematics of finance, probability, sets, counting techniques, permutations, combinations, statistics, central tendency, standard deviation, and applications in all areas. Prerequisites: MATH 1314 with a grade of C or better or equivalent. Three class hours per week. Credit: Three semester hours. Core Course: This is a Core Course in the 42-hour Core of Blinn College. As such, students will develop proficiency in the appropriate Intellectual Competencies, Exemplary Education Objectives, and Perspectives. The URL for Blinn College Core Curriculum website is www.blinn.edu/courecurriculum Course Objectives: The student should maintain at least a 70% average on all course work covering linear functions and graphs, matrices, inequalities and linear programming, simplex algorithm, mathematics of finance, probability, sets, counting techniques, permutations, combinations, statistics, central tendency, standard deviation, and applications in all areas. Materials: Course Packet (POAGE 1324) from the Copy Center Textbook: Lial, Greenwell, & Ritchey. Finite Mathematics and Calculus with Applications. 9 th Edition. Pearson, Addison Wesley, 2012. Access to MyLabsPlus online homework problems (blinn.mylabsplus.com). (online copy of book included) Course Content: Nonlinear Functions, The Derivative, Calculating the Derivative, Graphs and the Derivative, Applications of the Derivative, Integration, Further Techniques and Applications of Integration, Multivariable Calculus Tentative Exam Schedule: Test 1: 9/24 & 9/26 Test 2: 10/17 & 10/19 Test 3: 11/9 & 11/12 Test 4: 12/5 & 12/7 Grading Policy: 4 Exams = 16% each Quizzes = 8% Online Homework = 8% Final Exam = 20% Below are letter grades that correspond to the final numerical grade: A = 89.5-100; B = 79.5-89.4; C = 69.5-79.4; D = 59.5-69.4; F = 0-59.4 Suggested Homework: You will have "suggested" homework from your textbook every day (which will prepare you for your quizzes and tests, but will not be turned in for a grade). It is IMPERATIVE that you do suggested homework problems.

MATH 1324 Math Analysis I Fall 2012 - Blinn College · MATH 1324 Math Analysis I Fall 2012 . Instructor: Dr. Patrice Poage email: [email protected] . Office: L222 ... counting

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Page 1: MATH 1324 Math Analysis I Fall 2012 - Blinn College · MATH 1324 Math Analysis I Fall 2012 . Instructor: Dr. Patrice Poage email: patrice.poage@blinn.edu . Office: L222 ... counting

MATH 1324 Math Analysis I Fall 2012 Instructor: Dr. Patrice Poage email: [email protected] Office: L222 Phone: 979-209-7383 Office hours: MWF: 7am-8:30am Webpage: www.tinyurl.com/drpoage TR: 12noon-1pm

(and by appointment) Final Exam Schedule:

• MATH 1324-302 (9am class) final exam is on Friday, December 14th, from 7:45am-9:45am. • MATH 1324-304 (10am class) final exam is on Wednesday, December 12th, from 10:15am-12:15pm. • MATH 1324-305 (11am class) final exam is on Friday, December 14th, from 10:15am-12:15pm.

Course Description: Analysis I is the study of linear functions and graphs, matrices, inequalities and linear programming, simplex algorithm, mathematics of finance, probability, sets, counting techniques, permutations, combinations, statistics, central tendency, standard deviation, and applications in all areas. Prerequisites: MATH 1314 with a grade of C or better or equivalent. Three class hours per week. Credit: Three semester hours. Core Course: This is a Core Course in the 42-hour Core of Blinn College. As such, students will develop proficiency in the appropriate Intellectual Competencies, Exemplary Education Objectives, and Perspectives. The URL for Blinn College Core Curriculum website is www.blinn.edu/courecurriculum Course Objectives: The student should maintain at least a 70% average on all course work covering linear functions and graphs, matrices, inequalities and linear programming, simplex algorithm, mathematics of finance, probability, sets, counting techniques, permutations, combinations, statistics, central tendency, standard deviation, and applications in all areas. Materials:

• Course Packet (POAGE 1324) from the Copy Center • Textbook: Lial, Greenwell, & Ritchey. Finite Mathematics and Calculus with Applications. 9th Edition. Pearson,

Addison Wesley, 2012. • Access to MyLabsPlus online homework problems (blinn.mylabsplus.com). (online copy of book included)

Course Content: Nonlinear Functions, The Derivative, Calculating the Derivative, Graphs and the Derivative, Applications of the Derivative, Integration, Further Techniques and Applications of Integration, Multivariable Calculus Tentative Exam Schedule:

• Test 1: 9/24 & 9/26 • Test 2: 10/17 & 10/19 • Test 3: 11/9 & 11/12 • Test 4: 12/5 & 12/7

Grading Policy: 4 Exams = 16% each Quizzes = 8% Online Homework = 8% Final Exam = 20% Below are letter grades that correspond to the final numerical grade: A = 89.5-100; B = 79.5-89.4; C = 69.5-79.4; D = 59.5-69.4; F = 0-59.4 Suggested Homework: You will have "suggested" homework from your textbook every day (which will prepare you for your quizzes and tests, but will not be turned in for a grade). It is IMPERATIVE that you do suggested homework problems.

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Quizzes: Quizzes will be given in class. It will cover the suggested homework material so stay caught up on suggested homework. Sometimes there might be take home quizzes or group quizzes, but most will be individual. Each quiz is worth 10 points and the lowest quiz grade will be dropped at the end of the semester. Quizzes will not always be announced ahead of time. Online Homework: more information coming soon Graphing Calculator: A TI-83/84 graphing calculator is REQUIRED for this course. Symbolic calculators such as the TI-89/92 will not be allowed. Calculator may not be allowed on some quizzes/tests. Make-up Policy: There will be no make-ups given without an official authorized excuse. Such excuses include a Doctor’s note, a signed message from a College official, or an obituary from a death in the family. A prescription is not an authorized excuse. The student must contact the instructor either prior to or within 24 hours of missing an exam. The instructor will note in writing if the excuse is authorized. The make-up exam must be taken within one week of the date of the exam. Accommodations for Students with Disabilities: Blinn College is dedicated to providing the least restrictive learning environment for all students. Support services for students with documented disabilities are provided on an individual basis, upon request. Requests for services should be made directly to the Office of Disability Services serving the campus of your choice. For the Bryan campus, the Office of Disability Services (Administration Building) can be reached at (979)209-7251. Additional information can be found at www.blinn.edu/disability. To this end, in order to receive accommodations on exams or assignments, students must alert me to the situation as soon as possible and also provide our Academic Advising and Counseling Center (AACC) with proper documentation of their needs. No accommodations will be granted until the student makes an appointment with me, during my office hours, to discuss appropriate accommodations.

Attendance Policy: The College District believes that class attendance is essential for student success; therefore, students are required to promptly and regularly attend all their classes. Each class meeting builds the foundation for subsequent class meetings. Without full participation and regular class attendance, students shall find themselves at a severe disadvantage for achieving success in college. Faculty will require students to regularly attend class and will keep record of attendance from the first day of class and/or the first day the student’s name appears on the roster through final examinations. If the student accumulates a total one week (3 days) of absences, he/she will be sent an e-mail by the College requiring the student to contact his/her instructor and schedule a conference immediately to discus his/her attendance issues. If the student accumulates a total of two weeks (6 days) worth of absence, he/she will be administratively withdrawn from class. The only excused absences as defined by the College are:

(1) Observance of religious holy days – Sec 51.911(b) Texas Education Code. An institution of higher education shall excuse a student attending classes and/or required activities, including examinations, for the observance of a religious holy day. A student whose absence is excused under this section may not be penalized for that absence and shall be allowed to take an examination or complete an assignment. The student should notify his/her instructor no later thatn the 15th day of the semester concerning the specific date(s) that the student will be absent for any religious holy day(s); and

(2) Representing Blinn College at an official institutional function – a student is asked by the institution to be an

official representative of the college at any function approved by the institution, the student is excused from any classes missed and must be allowed to complete all work without penalty for that absence(s) in a timely manner as directed by the faculty member.

Tardies: If a student is 0-15 minutes late to class that will count as one tardy. An accumulation of three tardies is equal to one absence. If a student is 15 or more minutes late, then that is counted as an absence. If a student leaves class for any reason during the lecture, then this will be counted as an absence.

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Civility Statement: Members of the Blinn College community, which includes faculty, staff, and other students, are expected to act honestly and responsibly in all aspects of campus life. Blinn College holds all members accountable for their actions and words. Therefore, all members should commit themselves to behave in a manner that recognizes personal respect and demonstrates concern for personal dignity, rights, and freedoms of every member of the College community, including respect for College property and the physical and intellectual property of others. If a student is asked to leave the classroom because of uncivil behavior, the student may not return to that class until he or she arranges a conference with the instructor: it is the student’s responsibility to arrange for this conference. Classroom Policy: No food, drinks, or tobacco products are allowed in the classroom. Cell phones are beepers/pages must be disengaged while the student is in the classroom. Text messaging in class will result in the student being asked to leave for the remainder of the instructional period. This will count as an unexcused absence. Scholastic Dishonesty: The policy as stated in the 2009-2010 Student Handbook, Bryan Campus will be followed. Sources for Help:

• Ask questions in class • Come see me • Go to Learning Center • Go to FREE tutoring in Math Lab, Room L245 • Hire a private tutor.

Learning Center Hours:

Day: Hours: Must begin test by: Sundays 5:30pm-9:30pm 8:00pm Mon-Thurs 7:45am-9:30pm 8:00pm Fridays 7:45am-5pm 3:30pm Saturdays 8am-3pm 1:30pm

Math Tutoring Center Hours: Mon-Thurs TBA Fri, Sat, Sun CLOSED Student Learning Outcomes for MATH 1324

• The student will be able to solve and graph linear inequalities in one and two variables and solve business problems using linear programming methods.

• The students will be able to solve systems of equations using Gauss-Jordan method. • The students will be able to identify different size matrices, perform matrix addition and subtraction, perform scalar and

matrix multiplication. • The students will be able to identify linear programming problems in standard form, and be able to maximize and minimize

business problems using the simplex method. • The students will be able to compute compound interest, annuities, sinking funds, and amortization. • The students will be able to identify sets, subsets, and Venn diagrams. • The students will be able to use tree diagrams, the multiplication principle, permutations, combinations, and fundamental

probability principles to determine probabilities. • The students will be able to identify sample space and their complements. • The students will be able to find probabilities of conditional and Bayes’ Theorem events. • The students will be able to find probabilities of Bernoulli trials, binomial distribution, and normal distribution. The students

will be able to construct probability distributions, histograms, and find the stated probabilities. • The students will be able to compute the mean, median, variance, and standard deviation.

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TENTATIVE DAILY SCHEDULE MATH 1324 POAGE FALL 2012

Date Sections Content 27-Aug 7.1 Introduction to course and begin Sets 29-Aug 7.1 Sets 31-Aug 7.2 Applications of Venn Diagrams

5-Sep 7.3 Introduction to Probability 7-Sep 7.4 Basic Concepts of Probability

10-Sep 7.5 Conditional Probability; Independent Events 12-Sep 7.6 Bayes' Theorem 14-Sep 8.1 Multiplication Principle; Permutations 17-Sep 8.2 Combinations 19-Sep Review 21-Sep 7.1-7.6,8.1,8.2 Review for Exam 1 24-Sep Exam 1 (Part 1) 26-Sep Exam 1 (Part 2) 28-Sep 8.3 Probability Applications of Counting Principles

1-Oct 8.4 Binomial Probabilities 3-Oct 8.4 & 8.5 Binomial Probabilities; Probability Distributions; Expected Value 5-Oct 8.5 Probability Distributions; Expected Value 8-Oct 9.1 & 9.2 Frequency Distributions; Meaures of Central Tendency & Variation

10-Oct 9.3 The Normal Distribution 12-Oct 9.4 Normal Approximation to the Binomial Distribution 15-Oct 8.3-8.5,9.3,9.4 Review for Exam 2 17-Oct Exam 2 (Part 1) 19-Oct Exam 2 (Part 2) 22-Oct 2.3 Addition and Subtraction of Matrices 24-Oct 2.4 Multiplication of Matrices 26-Oct 2.1 Solutions of Linear systems by Echelon & Gauss Jordan Methods 29-Oct 2.2 Solutions of Linear systems by Echelon & Gauss Jordan Methods 31-Oct Ch3 Graphing Inequalities and Solving Linear Programming Problems 2-Nov Ch3 Applications of Linear Programming Problems 5-Nov Ch3 Applications of Linear Programming Problems 7-Nov 2.1-2.4,Ch3 Review for Exam 3 9-Nov Exam 3 (Part 1)

12-Nov Exam 3 (Part 2) 14-Nov 4.1 Slack Variables, Pivot Elements 16-Nov 4.2 Maximization Problems using Simplex Method 19-Nov 4.3 Minimization Problems: Duality 26-Nov 5.1 Simple & Compound Interest 28-Nov 5.2 Future Value of an Annuity 30-Nov 5.3 Present Value of an Annuity; Amortization

3-Dec 4.1-4.3,5.1-5.3 Review for Exam 4 5-Dec Exam 4 (Part 1) 7-Dec Exam 4 (Part 2)

10-Dec Review for Final & Last Class Day

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Suggested Homework Problems from your Textbook Test 1 Material 7.1, #'s (1-45odd 7.2, #'s (1-31odd, 39) 7.3, #'s (3, 9, 15, 16, 19-39odd, 49) 7.4, #'s (1-29odd, 57, 61, 65, 71, 73) 7.5, #'s (1, 5, 7, 9, 11, 13, 20, 21, 30, 41, 43, 61, 71, 77, 78, 79, 80) 7.6, #'s (7, 9, 10, 11, 15, 17, 19, 23, 24, 28, 29, 31, 37) 8.1, #'s (13, 14, 15, 20, 29, 30, 32, 33, 35, 37, 42, 43, 46, 47, 49) 8.2, #'s (12, 17, 18, 21, 22, 23, 30, 33, 34, 35, 39, 41, 42) MORE PRACTICE PROBLEMS for 8.1 & 8.2 with detailed answers (on webpage: www.tinyurl.com/drpoage) Test 2 Material 8.3, #'s (1-12, 26, 27, 31, 33, 46, 47, 48, 49) 8.4, #'s (3-17odd, 25-39odd, 40, 50, 51, 59-63) 8.5, #'s (3, 4, 7, 8, 9, 11, 13, 15, 19, 22, 23, 25, 30, 36, 40, 45, 46, 47) 9.1, #'s (7, 11, 13, 17, 25, 34, 35, 36, 37, 41, 45) 9.2, #'s (3, 5, 7, 27, 28, 30, 31) 9.3, #'s (9, 11, 13, 15, 17, 23, 25, 33, 35, 37, 39, 40, 41, 47, 48, 55, 56, 57, 58, 60) 9.4, #'s (5, 19, 23d, 24b, 26, 27, 28, 29, 31, 32) Test 3 Material 2.3, #'s (15-20, 21-31odd) MORE PRACTICE PROBLEMS for 2.3 (on webpage: www.tinyurl.com/drpoage) 2.4, #'s (5, 7, 9, 11, 15, 21, 31, 43, 47, 48) MORE PRACTICE PROBLEMS for 2.4 (on webpage: www.tinyurl.com/drpoage) 2.1, #'s (5, 9, 13, 23, 25, 27, 31, 33, 36, 41, 49) 2.2, #'s (3, 11, 13, 15, 17, 21, 25, 27, 28, 29, 31, 39, 45, 47a, 49, 58) 3.2, #'s (3, 5, 7, 9, 11) NOTE: Your shading will be opposite the book. 3.3, #'s (7, 8, 13, 17, 21, 23, 25) MORE PRACTICE FOR Chapter 3 with answers (on webpage: www.tinyurl.com/drpoage) Test 4 Material 4.1, #'s (5, 7, 9, 11, 13, 15, 19, 21, 23) 4.2, #'s (1-15odd, 21, 33) 4.3, #'s (7, 9, 11) 5.1, #'s (11, 13, 19, 23, 27, 29, 33, 35, 43, 49) 5.2, #'s (25, 29, 39, 49, 51, 54, 57, 59) 5.3, #'s (17, 19, 21, 27, 29, 35, 47(a,b,c)) Online Homework Deadlines (mymathlab.com) : ALL OLHW’s are due by 11:55pm.

• 7.1, 7.2 are both due by Thursday, September 6th • 7.3, 7.4 are both due by Thursday, September 13th • 7.5, 7.6 are both due by Wednesday, September 19th • 8.1, 8.2 both due by Sunday, September 23rd • 8.3 is due by Thursday, October 4th • 8.4, 8.5 all due by Thursday, October 11th • No OLHW for 9.1, 9.2, 9.3, 9.4 • 2.3, 2.4 both due by Tuesday, October 30th • 2.1, 2.2 both due by Sunday, November 4th • 3.2, 3.3 both due by Thursday, November 8th • 4.1, 4.2, 4.3 all due by Tuesday, November 27th • 5.1, 5.2, 5.3 all due by Tuesday, December 4th

NOTE: There are a total of 23 online homeworks. I will drop the lowest one and average the remaining 22 grades.