> c %zbjbj :xY\xY\=A*8T tFTTSSSSSSS$VPYxSESHTSSa=XIAt>(ST0FT>hY&YPIAIAYUP,SSFTY>F: Lamar University
Department of Mathematics
MATH 2312-04 Precalculus II (3 hour course)
Spring 2018 Syllabus
TR 8:00AM-9:20AM Room L117 Lucas Engineering
Instructor: Karahouni Office: Maes 49Phone:
Email:409-880-7361
mike.karahouni@lamar.eduOffice Hours: MW 1:00PM-2:00PM
TR 1:00PM-2:00PM
Other times available by appointment.Text:
Calculator: Precalculus: Custom Edition for Lamar University, Sullivan, Pearson,
Any calculator as long as it is not a graphing, or programmable calculator (no cell phone can be use as calculator). I suggest TI-30XIIS it is inexpensive and it does everything we need for the course.Prerequisites: MRS 750 or C or better in MATH 1414, or MATH 2311.
Catalog Description: Review of algebra, trigonometry and analytic geometry. Prepares for: MATH 2376, 2413, 2460. Offered: Fall, Spring, Summer.
MATH 2312 Learning Outcomes: Upon completion of the course, students will:
1. Demonstrate and apply knowledge of properties of functions.(
2. Recognize and apply algebraic and transcendental functions and solve related equations.
3. Apply graphing techniques to algebraic and transcendental functions.(
4. Compute the values of trigonometric functions for key angles in all quadrants of the unit circle measured in both degrees and radians.
5. Prove trigonometric identities.(
6. Solve right and oblique triangles.
7. Perform operations on functions including addition, subtraction, multiplication, division, and composition of functions, and be able to find the domain of the resulting new functions;
8. Ascertain whether a function is one-to-one and find the inverse of a one-to-one function;
9. Solve exponential and logarithmic equations;
10. Solve trigonometric equations.
Core Curriculum Outcomes: Upon completion of this course, the student will demonstrate his or her abilities to think critically, communicate quantitative information, and apply mathematical concepts:
1. Critical Thinking: Develop a logical, consistent plan to solve a problem, recognize consequences of the solution, and articulate a reason for choosing solution method.
2. Communication Skills: Use and present quantitative information in connection with an argument or problem solution and explicate it in an effective format.
3. Empirical and Quantitative: Construct and present a detailed problem statement with evidence of relevant contextual factors and possible approaches for solving the problem, then implement a solution and review the results.
Important Dates
Spring 2018
(Tuesday, January 16th Tuesday, May 8th)
Purges
Thurs., January 11Non-payment purge after 5 p.m.
Mon., February 12Final non-payment purge after 5 p.m.
Registration
Fri., January 12Last day to register without late fee
Thurs., January 18Last day to register with late fee
Mon., April 9 Registration begins for special populations
Mon., April 16Open Registration
Advisement
Wed., April 4 Advisement begins
Drops
Wed., January 31 Last day for full refund on dropped courses (Census Day)
Mon., February 19 Last day to drop without academic penalty
Wed., April 4Last day to drop with academic penalty
Graduation
Fri., January 19Application for May 2018 graduation begins
Tues., March 6Last day for grad students to apply/pay for May 2018 graduation
Tues., Apr 3Last day for undergrads to apply/pay for May 2018 graduation
Fri., May 11Commencement ceremonies (Arts and Sciences)
Final Exams
Wed, May 2 Tues., May 8Finals
Thurs., May 10Grades due by 1:00 p.m.
Holidays
Mon., Jan. 15Martin Luther King, Jr. Holiday
March 12-16 SPRING BREAK
Grading Policies:
Final exam is Thursday, May 3rd , 2018 8:00 AM 10:30 AM.
EXAMS: Three exams, or four exams if time permits.
FINAL: Your final exam will be comprehensive and will be given on Thursday, May 3rd, 2018 from 8:00AM-10:30AM.
ABSENCES: If you miss an exam your final exam grade will be used in its place. Students are expected to be in class on time and stay for the entire class period. Students are warned that excessive absences are not conducive to achievement and will adversely affect the grade earned for the course.
HOMEWORK: Homework will be assigned from the syllabus.
GRADING: Assigned class work and quizzes for each exam are averaged and calculated to represent 20 % of each exam grade. The remaining 80% is the exam grade itself. Your 4 exams will be averaged and will be 100 % of your grade. The final is optional. If taken it will replace the lowest exam grade. Final grades will be provided on banner and will be based on the following scale: A: 100%-90%, B: 89%-80%, C: 79%-70%, D: 69%-60%, F: below 60%.
Lamar University
Department of Mathematics
Important Information for Students
Lamar University expressly prohibits intimidation and harassment of students, faculty, staff, or applicants. http://students.lamar.edu/academic-support/code-of-conduct.html
Drop Policy: Please make note of the three dates indicated in this drop policy. Any drop will be your responsibility; I will not drop a student from the course.
January 31, 2018: (Census Date-Six Drop Rule does not apply) A student may drop or withdraw without consulting with the instructor. The Six Drop Rule does not apply to a drop before 5:00 PM.
February 19, 2018: (Six Drop Rule applies) A student may drop or withdraw from the course without academic penalty and receive a Q, however, the Six Drop Rule applies. The student will consult with the instructor and the Records Office to initiate a drop.
April 4, 2018: (Six Drop Rule applies) Last day to drop or withdraw with academic penalty; the student must be passing the course at the time of the requested drop in order to receive a Q. The drop form, including all required signatures, must arrive in the Records Office by no later than 4:00 PM. No drop is allowed after this date except in extreme extenuating circumstances. Any late drop must be approved by the instructor, department chair, college dean, and provost.
Academic Integrity: Students are expected to maintain complete honesty and integrity in their academic experiences both in and out of the classroom. Any student found guilty of dishonesty in any phase of academic work will be subject to disciplinary action. Students are specifically warned against all forms of cheating and plagiarism. The Lamar University Student Handbook clearly reads: Any student found guilty of academic dishonesty in any phase of academic work will be subjected to disciplinary action. Punishable offenses include, but are not limited to, cheating on an examination or academic work which is to be submitted, plagiarism, collusion, and the abuse of source materials. One aspect of the Handbooks definition of cheating includes purchasing or otherwise acquiring and submitting as ones own work any research paper or other writing assignment prepared by an individual or firm. Plagiarism is defined as the appropriation and the unacknowledged incorporation of anothers work or ideas into ones own and submitted for credit. Faculty members in the College of arts and Sciences investigate all cases of suspected plagiarism. Any student who is found cheating in this course will receive a course grade of F. http://students.lamar.edu/student-handbook.html
Accommodations through the Disability Resource Center: Lamar University is committed to providing equitable access to learning opportunities for all students. The Disability Resource Center (DRC) is located in the Communications building room 105. Office staff collaborate with students who have disabilities to provide and/or arrange reasonable accommodations. If you have, or think you may have, a disability (e.g., mental health, attentional, learning, chronic health, sensory, or physical), please contact the DRC at 409-880-8347 or drc@lamar.edu to arrange a confidential appointment with the Director of the DRC to explore possible options regarding equitable access and reasonable accommodations. If you are registered with DRC and have a current letter requesting reasonable accommodations, we encourage you to contact your instructor early in the semester to review how the accommodations will be applied in the course. http://www.lamar.edu/disability-resource-center/
Incomplete Grades: The grade of "I" may be given when any requirement of the course, including the final examination, is not completed. Arrangements to complete deficiencies in a course should be made with the instructor prior to the end of the semester or term. Incomplete work must be finished during the next long semester or the Records Office will change the "I" to the grade of "F." While the extension may be granted by the instructor with the approval of his/her Department Chair and Academic Dean, once the "I" is changed to an "F" it cannot be changed back to an "I." In this case, either a "change of grade" procedure must be initiated or the course must then be repeated if credit is desired. The instructor may record the grade of "F" for a student who is absent from the final examinations and is not passing the course.
Campus Closure: In the event of an announced campus closure in excess of four days due to ahurricane or other disaster, students are expected to login to Lamar University's website's homepage for instructions about continuing courses remotely. http://lamar.edu
Emergency Procedures: Many types of emergencies can occur on campus; instructions for severe weather or violence/active shooter, fire, or chemical release can be found at: http://www.lamar.edu/about-lu/administration/risk-management/index.html
Following are procedures for the first two:
Severe Weather:
Follow the directions of the instructor or emergency personnel.
Seek shelter in an interior room or hallway on the lowest floor, putting as many walls as possible between you and the outside.
If you are in a multi-story building, and you cannot get to the lowest floor, pick a hallway in the center of the building.
Stay in the center of the room, away from exterior walls, windows, and doors.
Violence/Active Shooter:
CALL - 8-3-1-1 from a campus phone (880-8311 from a cell phone). Note: Calling 9-1-1 from either a campus phone or cell phone will contact Beaumont City Police Dispatch rather than University Police.
AVOID- If possible, self-evacuate to a safe area outside the building. Follow directions of police officers.
DENY- Barricade the door with desks, chairs, bookcases or any other items. Move to a place inside the room where you are not visible. Turn off the lights and remain quiet. Remain there until told by police it is safe.
DEFEND- Use chairs, desks, cell phones or whatever is immediately available to distract and/or defend yourself and others from attack.
Course Evaluations: You will have an opportunity to evaluate all aspects of this course in a formal process to be completed online near the end of the term. You will receive an email reminder through your LU account.
MATH 2312 - Precalculus II
Precalculus - Custom Edition for Lamar University
Section Pg Problems
6.1 Composite Functions 456 8, 10, 14, 16, 18, 20, 22, 24, 26, 28, 34, 38, 42, 44, 48, 54, 56, 58, 60, 62, 72
6.2 One-to-One Functions, Inverse Functions 467 16, 18, 30, 32, 34, 38, 42, 44, 46, 52, 56, 60, 64, 68, 72, 78, 80, 84, 96
6.3 Exponential Functions 482 20, 22, 28, 54, 56, 58, 60, 66, 70, 74, 78, 82, 86, 96, 98, 100, 110, 118
6.4 Logarithmic Functions 496 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 72, 84, 90, 94, 96, 102, 104, 110, 112
6.5 Properties of Logarithms 507 16, 20, 24, 28, 32, 34, 36, 44, 48, 52, 56, 60, 64, 66, 70, 74, 78, 86, 90, 96, 102
6.6 Logarithmic and Exponential Equations 513 12, 16, 24, 30, 36, 40, 42, 44, 46, 48, 54, 58, 76, 80, 84, 86, 88, 92, 98
**6.7 Financial Models 522 10, 14, 20, 22, 40, 44
**6.8 Exponential Growth and Decay Models, 534 2, 4, 8, 12, 14, 18, 24
Newton's Law, Logistic Growth and
Decay Models
*6.9 Building Exponential, Logarithmic, and 540 2, 8, 12
Logistic Functions from Data
7.1 Angles and Their Measure 563 18, 20, 22, 46, 48, 50, 52, 54, 56, 58, 72, 76, 80, 84, 88
7.2 Trigonometric Functions: Unit Circle 579 14, 16, 18, 20, 22, 24, 26, 28, 30, 42, 44, 46, 48, 52, 54, 58, 62, 64, 70, 72, 74, 78,
Approach 80, 82, 110, 114, 118, 120, 132
7.3 Properties of the Trigonometric Functions 594 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 46, 50, 52, 54, 56, 58, 68, 70, 72, 74,
76, 82, 88, 90, 96, 98, 100, 102, 104, 106
7.4 Graphs of the Sine and Cosine Functions 607 10, 12, 14, 16, 18, 20, 22, 26, 30, 34, 38, 40, 50, 54, 78
7.5 Graphs of the Tangent, Cotangent, 617 8, 10, 12, 14, 16, 20, 28, 40, 42,
Cosecant, and Secant Functions
**7.6 Phase Shift; Sinusoidal Curve Fitting 628 4, 10, 16, 24
7.7 Right Triangle Trigonometry; Applications 638 10, 14, 18, 22, 26, 30, 34, 38, 42, 48
8.1 The Inverse Sine, Cosine, and Tangent 663 18, 20, 24, 28, 34, 36, 44, 46, 50, 54, 58, 62, 64, 66, 68, 78
Functions
8.2 The Inverse Trigonometric Functions 670 10, 12, 16, 20, 24, 30, 36, 40, 44, 48, 54, 56, 58, 64, 70, 74
(continued)
8.3 Trigonometric Equations 678 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76,
78, 80, 94, 100, 102, 108
8.4 Trigonometric Identities 687 10, 12, 16, 18, 20, 24, 28, 34, 46, 58, 72,
**8.5 Sum and Difference Formulas 699 12, 14, 20, 22, 40, 42
**8.6 Double-angle and Half-angle Formulas 709 8, 12, 22, 36
**8.7 Product-to-Sum and Sum-to-Product 714 10, 14, 18, 22
Formulas
**9.1 Law of Sines 730 12, 20, 38, 42
**9.2 Law of Cosines 737 14, 24, 44, 50
**9.3 Area of a Triangle 743 10, 18, 34, 36
10.1 Polar Coordinates 763 10, 12, 20, 22, 26, 28, 30, 32, 36, 38, 40, 46, 48, 56, 58, 60, 62, 68, 72, 76, 78, 82
10.2 Polar Equations and Graphs 777 14, 16, 18, 20, 22, 24, 26, 28, 38, 42, 46, 50
10.3 Vectors 790 10, 16, 18, 20, 22, 26, 30, 32, 34, 36, 40, 42, 44, 46, 48, 52, 5476, 80, 86
10.4 The Dot Product 799 8, 10, 12, 14, 16, 18, 20, 24, 26, 32
11.1 Conics
11.2 The Parabola 815 12, 16, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 48, 50, 54, 56, 60
11.3 The Ellipse 825 14, 18, 20, 22, 24, 28, 32, 34, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64
11.4 The Hyperbola 838 20, 24, 26, 28, 30, 34, 36, 44, 48, 50, 54, 58, 62, 64, 66, 68, 70, 72, 74
11.5 Rotation of Axes; General Form of a Conic 847 12, 16, 20, 22, 24, 26, 28, 30, 34, 36, 38, 42, 44, 48, 52
11.6 Polar Equations of Conics 853 8, 10, 12, 14, 18, 24, 26, 28, 30, 34, 36, 38, 42
11.7 Plane Curves and Parametric Equations 864 8, 12, 14, 16, 18, 20, 24, 26, 28, 34, 42, 44
12.1 Finding Limits Using Tables and Graphs 877 8, 12, 16, 18, 20, 22, 24, 28, 32, 36, 40
12.2 Algebra Techniques for Finding Limits 885 8, 12, 18, 24, 26, 28, 30, 32, 36, 38, 40, 42, 44, 48, 52, 54, 56
12.3 One-sided Limits; Continuous Functions 891 13, 14, 15, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 38, 40, 42, 44, 48, 50, 52, 56, 62, 66,
68, 70, 72, 78, 80, 82
12.4 The Tangent Problem; The Derivative 898 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 38, 40, 42, 44, 48,
12.5 The Area Problem; The Integral 905 6, 8, 12, 14, 18, 20, 22, 24, 28, 30
*13.1 Counting 918 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30
*13.2 Permutations and Combinations 925 10, 12, 14, 18, 20, 22, 26, 30, 32, 36, 40, 42, 44, 46, 50, 52, 54, 56, 60, 62
*13.3 Probability 935 6, 8, 10, 14, 16, 18, 20, 22, 24, 26, 32, 34, 36, 40, 42, 46, 50, 58, 60, 62, 64, 66, 68, 70
*14.1 Sequences 949 14, 16, 18, 20, 22, 24, 26, 30, 34, 36, 44, 48, 50, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 76
*+,5789DGIOWX^abcelmopqrstuwxy{|ɶzzrje` h?
9 h9huPnh9huPnhx9 hO9 h6J9huPnhuPn9 hMJ^9 h=9 hZ9hr4EhxCJaJhOhx9CJ OJQJaJ %hOhuPn59CJ OJQJ\aJ %hOhx59CJ OJQJ\aJ hOhx9CJ4OJQJaJ4%hOhx59CJ4OJQJ\aJ4%+,XmYkd$$IfTl@0 $k"644
layt-T $Ifgd-$a$ & ' ( + - . / 2 3 4 5 X Y [ k m n { ʿʿݴʬҥʝʝʝʝʝʝʝʝʿ~ h?
6h(\hZ6hxhx5\hn5\h6JB*phhUh?
h?
B*phh?
5B*\phh2*h?
B*phh?
B*phhUh?
B*phhUh?
5B*\ph h?
9 hX.9 h=9 hMJ^90 BYkd$$IfTl@0 $k"644
layt-T $Ifgd-Ykdj$$IfTl@0 $k"644
layt-T 4 Z [ a n ~
u$$Ifa$gd"$$Ifa$gdB$IfYkd>$$IfTlR0 $k"644
layt-T $Ifgd6J $Ifgd- #
$
9
<
}
~
UVWstȼޙ{sk`XQJh5gh?
hj5\hj5>*\h5ghj5\]h?
CJaJhjCJaJhj5CJ\aJhjhj5>*CJ\aJhjhj5\]hWhWfHq
hBfHq
hs'fHq
h(\hfHq
hx5\hxh(\hnh"hnhh(\hZh?
~
?:gdjVkd$$IfTlf0 $k"644
laT $Ifgds'$IfYkd$$IfTl=0 $k"644
laytT
VWz2
"ps%&>#^gdJ$`a$gd?
$^a$gd?
1$7$8$H$^gd?
1$7$8$H$`gd?
[$\$`gd6J[$\$^gdjpvrv%&>?=>B]"#$345@ABVXkmnԲziziz!hMJ^0JCJH*OJQJ^JaJhMJ^0JCJ OJQJ^JaJ hMJ^hMJ^0JCJ(OJQJ^JaJ(hMJ^0JCJ(OJQJ^JaJ(hB h|LhJCJOJQJ^JaJ h|LhJCJOJQJ^JaJh|LhJh|LhJ>*hahJ5>*hJh?
h5gh?
h6J&#$5Bprt|0gH
9D`gdMJ^9DgdMJ^ $9Da$gdMJ^gdBnopqrstz{|$./0BW[efgt
&FGHýýýýýýýýhMJ^0J5\hMJ^0JOJQJ^J
hMJ^0J
hMJ^0JhMJ^0J6]hMJ^0JCJ OJQJ^JaJ hMJ^0JCJOJQJ^JaJhMJ^hMJ^0JCJ OJQJ^JaJ @HZlt!&UVWcp{
34567?ξξޯޣhMJ^0JOJQJ^JhMJ^0JOJQJ^JhMJ^0J6OJQJ]^JhMJ^0JCJ OJQJ^JaJ hMJ^0JCJ OJQJ^JaJ hMJ^
hMJ^0JhMJ^0J5\
hMJ^0JhMJ^0J6]8W
57Bp
p@gd)DgdBgd;9DgdMJ^
9D`gdMJ^?@ABOnop{ƹzsshazZzh6J5>*hqZ5>*hMJ^hMJ^5>*H*hv5>*h)D5>*hMJ^5>*h)DB*\phhV5\hx5\hhx5>*\haha5\hBhQh;OJQJ^Jh;56OJQJ^J
hMJ^0J
hMJ^0JhMJ^0J6]hMJ^hMJ^0JCJ aJ hMJ^0JCJ aJ ),2lpwz}~B @Cɽٹٹ٩hz B*\phhs'B*\phhvhs'hs'5>*\hs'h6JhahqZhMJ^hMJ^H*hMJ^hvh)D5>*\h)Dh6J5>*hMJ^5>*h)D5>*hqZ5>*ha5>*6+, ^gds'gds'
p@^@`gds'
pp^p`gds'^gdvgd)D
p@^gdv
0
$da$gda^gdk>
p@^@`gds'^gds'01HPQRXYJ Q V W ..55556#6*6+6-6.666IxyɿnnnlU'hs'hs'>*CJOJPJQJ^JaJ$hs'hs'CJOJPJQJ^JaJ*hs'hs'5>*CJOJPJQJ^JaJ'hs'hs'5CJOJPJQJ^JaJhs'B*\phhz h6JhahaPJ#haha5CJOJPJQJaJh6JB*\phhHB*\ph$01HJ ("2'+M.X/N0{000R11"2<2
3{3\445555^gdk>gd6Jdgda556"6>66777#88 9Z99999:b::S;;<J<<=E===
Hgds'gds'$a$gds'=g>}>> ???@J@@@@AIA~AAQBBBCCC\DD.EEEoFF
Hgds'F!GGG9HH)IImxxNyyyyyyyyyyyyzzzzz^gds'gds'
Hgds' *14.2 Arithmetic Sequences 957 8, 12, 14, 16, 20, 22, 26, 32, 36, 40, 44, 46, 48, 50, 52, 56, 58, 60, 62
*14.3 Geometric Sequences; Geometric Series 967 10, 14, 18, 20, 24, 26, 30, 36, 38, 40, 42, 44, 46, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82
*14.4 Mathematical Induction 973 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22
*14.5 The Binomial Theorem 979 6, 10, 16, 18, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44
* If time permits
** Brief summary
Revised 05/12 PAGE 2
yyyyyyyyzzzzzzzzzzz z!z"z#z$z%z¾¾¾¾h1XhVhz 0JmHnHu
hV0Jjh`0JUh@B0JCJaJ
h@B0JhN0jhN0Uhs'B*\ph'h6JB*CJOJPJQJ^JaJph-hs'hs'B*CJOJPJQJ^JaJphz"z#z$z%z^gds'
$ 0*gd@B8 001F:pZ/ =!"#$%h$$If!vh#vk#v:Vl@"65k5/ayt-Th$$If!vh#vk#v:Vl@"65k5/ayt-Th$$If!vh#vk#v:Vl@"65k5/ayt-Th$$If!vh#vk#v:VlR"65k5/ayt-Th$$If!vh#vk#v:Vl="65k5/aytTb$$If!vh#vk#v:Vlf"65k5/aTs002 0@P`p2( 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p8XV~ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@ 0@_HmH nH sH tH @`@3NormalCJ_HaJmH sH tH DA`D
Default Paragraph FontRi@R0Table Normal4
l4a(k (
0No List443Header
!4 @43Footer
!.)@.3Page Number6U !630 Hyperlink>*B*phVo2V3Default7$8$H$!B*CJ_HaJmH phsH tH B^@BBuPn0Normal (Web)dd[$\$FV QF "ZFollowedHyperlink>*B*phjcjI_
Table Grid7:V0B/qBapple-converted-spacebbk: List Paragraphd^m$CJOJPJQJaJHHwbBalloon TextCJOJQJ^JaJN/NwbBalloon Text CharCJOJQJ^JaJ.O.MJ^ paragraph4o4MJ^normaltextrun1oMJ^eopPK![Content_Types].xmlN0EH-J@%ǎǢ|ș$زULTB l,3;rØJB+$G]7O٭VvnB`2ǃ,!"E3p#9GQd; H
xuv 0F[,F᚜KsO'3w#vfSVbsؠyX p5veuw 1z@ l,i!b
IjZ2|9L$Z15xl.(zm${d:\@'23ln$^-@^i?D&|#td!6lġB"&63yy@t!HjpU*yeXry3~{s:FXI
O5Y[Y!}S˪.7bd|n]671.
tn/w/+[t6}PsںsL.J;̊iN $AI)t2Lmx:(}\-i*xQCJuWl'QyI@ھ
m2DBAR4 w¢naQ`ԲɁ
W=0#xBdT/.3-F>bYL%˓KK6HhfPQ=h)GBms]_Ԡ'CZѨys
v@c])h7Jهic?FS.NP$
e&\Ӏ+I "'%QÕ@c![paAV.9Hd<ӮHVX*%A{YrAբpxSL9":3U5U
NC(p%u@;[d`4)]t#9M4W=P5*f̰lk<_X-CwT%Ժ}B% Y,]
A̠&oʰŨ;\lc`|,bUvPK!
ѐ'theme/theme/_rels/themeManager.xml.relsM
0wooӺ&݈Э5
6?$Q
,.aic21h:qm@RN;d`o7gK(M&$R(.1r'JЊT8V"AȻHu}|$b{P8g/]QAsم(#L[PK-![Content_Types].xmlPK-!֧60_rels/.relsPK-!kytheme/theme/themeManager.xmlPK-!R%theme/theme/theme1.xmlPK-!
ѐ' theme/theme/_rels/themeManager.xml.relsPK]
hA< ))), nH?y%z%'*-/0236> ~
#05=Fz%z&()+,.145789:?$&,!T #@H 0(
0(
B
S ?9Dnyx++++++=A?A@ABACAEAFAHAIAfAiAFLkp''44<<\=_=8A!pk""fSbh|rU`boVqJbtpF|JbbX%?4jR={)6rU\.242&hI# rU:b6vL8bxGV3=b7(?eTeb%{E8"eClb{tpEXv_^rU3 {U bx"HAE8"=EU54#fI#bM$rUe$rU?%t%]z&b~W
'bg(Yc(K,,)_@;+Ep3`++hWBW,M,Sr(.U
T.`.rUr\k/u0bd0rU \0]crl{1D1rUYr2W
3*3b.24~SN4rU!?5b 5KG6b6V{6ne77*$/8LhV8{
9rUs9rU8\:rK;;b;0,<iS='p>%?]B@]B@ I
LO@b{:@\{_!A'_AbHA!FhWB$ZG9B%53CeCb'C*CrU;ODbC
EEsFGyk`H I{:@_IbIrUgIj*JF|J_@;+BPK!K
}LnL/D[G~MrU\!MkNbS!NVNdGN8GOO1TObF{OhOrUY1OrU]p6P}|P8BQjRSr(.R.RfjSrU#S#SYS`Tb)]TrU=EU@=]rU(7'?XpV@!SY3Zb$Z \0p/D[leO|\@=]Gi^_$g_b/`%GK%5O% 's'L3(F)f),*O*|,6g-X.k.b\138[[8;E<9=
?@Bz.CDr4EJ6JAvJLLMNOySPTUZUX]Y "ZqZ [(\MJ^I_zT_@e`|`5ga*byghP$hiL+jlnuPnaod'q9qLsKv&wp5y/{sn{[I.^rL2qz %E5>*m1XP8tzxj\P=0Uc*
OMKM$BXOb~k:E"xa
P'-wN!VhZHZo6x@['3wboX wI[!vM	`wr]B)D@-X7$0ZP^a$=*2a.DHN0/1WBQ"o.)Iq}k>.?@BCDEFGHJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvxyz{|}~Root Entry FpZtData
A1TableIZWordDocument:SummaryInformation(wDocumentSummaryInformation8CompObjr
F Microsoft Word 97-2003 Document
MSWordDocWord.Document.89q