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NORTH CENTRAL TEXAS COLLEGE
COURSE SYLLABUS
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Course Title:
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Plane Trigonometry
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Course Prefix & Number:
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MATH1316
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Section Number:
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100
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Semester/Year:
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Spring 2018
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Semester Credit Hours:
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3
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Lecture Hours:
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48
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Class Time:
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TR 12:30-1:50
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Course Description (NCTC Catalog): In-depth study and applications of trigonometry including definitions, identities, inverse functions, solutions of equations, graphing, and solving triangles. Additional topics such as vectors, polar coordinates and parametric equations may be included.
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Course Prerequisite(s): Meet TSI college-readiness standard for Trigonometry; or equivalent
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Required or Recommended Course Materials: Trigonometry, Margaret L. Lial, John Hornsby, David I. Schneider, 11th edition, Pearson, 2017 or MyMathLab access code
Scientific calculator, TI-30X IIS is recommended
Phone calculators will not be allowed on exams. Graphing calculators may be restricted.
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INSTRUCTOR INFORMATION
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Name of Instructor:
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Benjamin Owens
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Campus/Office Location:
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Gainesville Campus – Room 825
Corinth Campus – Room 320
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Office Hours:
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Gainesville: TR 9:30 – 11:00 ; 2:00-3:30
Online: MW 11:00a.m. – 1:00p.m. ; MTWR 8:30 – 9:30p.m.
Or by appointment. Please email if you would like to meet at a different time than those listed here or set up an online conference.
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Telephone Number:
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940-668-7731 x4501
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E-mail Address:
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bowens@nctc.edu
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STUDENT LEARNING OUTCOMES (From Academic Course Guide Manual/Workforce Education Course Manual/NCTC Catalog
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At the successful completion of this course the student will be able to:
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1
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Compute the values of trigonometric functions for key angles in all quadrants of the unit circle measured in both degrees and radians.
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2
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Graph trigonometric functions and their transformations.
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3
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Prove trigonometric identities.
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4
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Solve trigonometric equations.
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5
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Solve right and oblique triangles.
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6
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Use the concepts of trigonometry to solve applications.
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GRADING CRITERIA
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# of Graded Course Elements
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Graded Course Elements
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Percentage or Point Values
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37
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Homework
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20%
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4
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Tests
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60%
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1
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Final Exam
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20%
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Grade Scale: 90 – 100% = A; 80 – 89% = B; 70 – 79% = C; 60 – 69% = D; Below 60% = F
Tentative Schedule
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Week 1
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Trigonometry on
Triangles
Ch. 1 & 2
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Section 2.1: Trigonometric Functions of Acute Angles
Section 1.1: Angles
Section 2.3: Finding Trigonometric Values with Calculator
Section 2.4: Solving Right Triangles
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Week 2
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Trigonometry on Pts. in the Plane
Ch. 1 & 2
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Section 1.2: Angle Relationships and Similar Triangles
Section 1.3: Trigonometric Functions
Section 1.4: Using the Definitions of the Trigonometric Functions
Section 2.2: Trigonometric Functions of Non-Acute Angles
Section 2.5: Further Applications of Right Triangles
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Week 3
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Ch. 1 & 2
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Review Ch. 1 & 2
Test 1: Ch. 1 & 2
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Week 4
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Radian Measures and Applications
Ch. 3
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Section 3.1: Radian Measure
Section 3.2: Applications of Radian Measure
Section 3.3: The Unit Circle and Circular Functions
Section 3.4: Linear and Angular Speed
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Week 5
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Graphs of Trigonometric Functions
Ch. 4
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Section 4.1:Graphs of the Sine and Cosine Functions
Section 4.2: Translations of the Graphs of Sine/Cosine Functions
Section 4.3: Graphs of the Tangent and Cotangent Functions
Section 4.4: Graphs of the Secant and Cosecant Functions
Section 4.5: Harmonic Motion
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Week 6
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Ch. 3 & 4
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Review Ch. 3 & 4
Test 2: Ch. 3 & 4
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Week 7
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Trigonometric Identities
Ch. 5
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Section 5.1: Fundamental Identities
Section 5.2: Verifying Trigonometric Identities
Section 5.3: Sum and Difference Identities for Cosine
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Week 8
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Trigonometric Identities
Ch. 5
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Section 5.4: Sum and Difference Identities for Sine and Tangent
Section 5.5: Double-Angle Identities
Section 5.6: Half-Angle Identities
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SPRING BREAK
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Week 9
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Inverses and Trigonometric Equations Ch. 6
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Section 6.1: Inverse Circular Functions
Section 6.2: Trigonometric Equations I
Section 6.3: Trigonometric Equations II
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Week 10
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Ch. 5 & 6
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Review Ch. 5 & 6
Test 3: Ch. 5 & 6
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Week 11
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Law of Sines and Cosines Ch. 7
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Section 7.1: Oblique Triangles and the Law of Sines
Section 7.2: The Ambiguous Case of the Law of Sines
Section 7.3: The Law of Cosines
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Week 12
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Vectors and Applications
Ch. 7
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Section 7.4: Vectors, Operation, and the Dot Product
Section 7.5: Applications of Vectors
Section 8.1: Complex Numbers
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Week 13
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Complex Numbers Ch. 8
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Section 8.2: Trigonometric (Polar) Form of Complex Numbers
Section 8.3: The Product and Quotient Theorems
Section 8.4: De Moivre’s Theorem; Powers and Roots of Complex Numbers (Sections 8.5/8.6 if time allows)
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Week 14
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Ch. 7 & 8
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Review Ch. 7 & 8
Test 4: Ch. 7 & 8
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Week 15
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Review for Final
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Week 16
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Final Exam: See Final Exam Schedule
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ATTENDANCE POLICY
Regular and punctual attendance is expected of all students in all classes for which they have registered. All absences are considered to be unauthorized unless the student is absent due to illness or emergencies. It is the student’s responsibility to provide documentation as to the emergency for approval by the faculty member. Approved college-sponsored activities are also excused absences. The instructor is responsible for judging the validity of any reason given for an absence. Valid reasons for absence, however, do not relieve the student of the responsibility for making up required work. Students will not be allowed to make up an examination missed due to absence unless the absence is documented and excused by the instructor. Student will be dropped from a class by the Registrar upon recommendation of the instructor who feels the student has been justifiably absent or tardy a sufficient number of times to preclude meeting the course’s objectives. Persistent, unjustified absences from classes or laboratories will be considered sufficient cause for College officials to drop a student from the rolls of the College. From Board Policy FC (LOCAL)
LAST DAY TO WITHDRAW
Last day to withdraw from a course with a “W” is Thursday, April 5, 2018.
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GAINESVILLE – 1403 (Library)
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CORINTH – 182
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FLOWER MOUND - 111
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Mon & Thurs
9:00 am – 4:00 pm
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Mon through Thurs
9:00 am – 6:00 pm
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Mon & Wed
9:00 am – 3:00 pm
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Tues & Wed
9:00 am – 5:00 pm
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Fri 9:00 am – 12:00 pm
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Tues & Thurs
9:00 am – 3:00 pm
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Fri 9:00 am – 12:00 pm
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Sat 10:00 am – 1:00 pm
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Fri 9:00 am – 12:00 pm
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DISABILITY SERVICES (Office for Students with Disabilities)
The Office for Students with Disabilities (OSD) provides accommodations for students who have a documented disability. On the Corinth Campus, go to room 170 or call 940-498-6207. On the Gainesville Campus, go to room 110 or call 940-668-4209. Students on the Bowie, Graham, Flower Mound, and online campuses should call 940-498-6207.
North Central Texas College is committed to both the spirit and letter of federal equal opportunity legislation, including the Americans with Disabilities Act (ADA) of 1990, ADA Amendments Act of 2009, and Section 504 of the Rehabilitation Act of 1973 (P.L. 93-112). http://www.nctc.edu/student-services/disability-services.html.
CORE CURRICULUM FOUNDATIONAL COMPONENT AREA (For classes in the Core)________
o Communication
x Mathematics
o Life and Physical Science
o Language, Philosophy & Culture
o Creative Arts
o American History
o Government/Political Science
o Social and Behavioral Sciences
o Component Area Option
REQUIRED CORE OBJECTIVES (For classes in the Core)
x Critical Thinking
x Communication
x Empirical and Quantitative
o Teamwork
o Personal Responsibility
o Social Responsibility
COURSE TYPE
o Academic General Education Course (from ACGM but not in NCTC Core)
x Academic NCTC Core Curriculum Course
o WECM Course
STUDENT HANDBOOK
Students are expected to follow all rules and regulations found in the student handbook and published online.
STUDENT HANDBOOK
Students are expected to follow all rules and regulations found in the student handbook. http://www.nctc.edu/catalog/North-Central-Texas-College-Student-Handbook/nctc-student-handbook.html.
ACADEMIC DISHONESTY
Scholastic dishonesty shall include, but is not limited to cheating, plagiarism, academic falsification, intellectual property dishonesty, academic dishonesty facilitation and collusion. Faculty members may document and bring charges against a student who is engaged in or is suspected to be engaged in academic dishonesty. See Student Handbook, “Student Rights & Responsibilities: Student Conduct ([FLB(LOCAL)]”.
Consequences for academic dishonesty may include:
- Zero on the assignment
- Failing grade for the course
QUESTIONS OR CONCERNS?
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Name of Chair :
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Dr. Elizabeth Howell
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Office Location:
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Corinth 236
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Telephone Number:
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940-498-6209
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E-mail Address:
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ehowell@nctc.edu
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Name of Instructional Dean:
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Sara Flusche
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Office Location:
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Gainesville 1306
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Telephone Number:
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940.668.3351
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E-mail Address:
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sflusche@nctc.edu
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CAMPUS RESTRICTIONS
Tobacco-Free Campus: NCTC restricts the use of all tobacco products, including cigarettes, e-cigarettes, cigars, pipes, and smokeless tobacco, on campus property.
Campus Carry: Effective August 1, 2017, a license holder may carry a concealed handgun on or about the license holder's person while the license holder is on the campus of an institution of higher education or private or independent institution of higher education in this state. For more information, see the website at http://www.nctc.edu/police/campus-carry.html