Algebra & Trigonometry
1.COURSE TITLE: College Trigonometry2.CATALOG PREFIX: MATHCOURSE NUMBER: 11423. PREREQUISITES: : One of the following:- Four High school STEM or Core Math courses with grades A, A, B, B or higher.- MATH 1141 - ACT Math Score of 26 or higher4.COURSE TIME/LOCATION: (Course Syllabus – Individual Instructor Specific)5. CREDIT HOURS: 4LECTURE HOURS: 4LABORATORY HOURS: 0OBSERVATION HOURS: 06.FACULTY CONTACT INFORMATION: (Course Syllabus – Individual Instructor Specific)7. COURSE DESCRIPTION:This course includes a study of trigonometric functions and their applications. Topics include circular functions, trigonometric functions, trigonometric identities, Trigonometric equations, vectors, the complex plane, polar coordinates, conic sections, and applications of these concepts.8.Learning Objectives:At the completion of this course the student will: [TMM 003 obj. 1.1]Define the six trigonometric functions in terms of right triangles and the unit circle and represent these functions verbally, numerically, graphically, and algebraically. [TMM003 obj. 1.2]Perform transformations on trigonometric and inverse trigonometric functions-identifying amplitude, period and phase shift. [TMM003 obj. 1.3]Identify properties of trigonometric and inverse trigonometric functions including: intercepts, domain, range, intervals where they are increasing or decreasing, asymptotes, one-to-one, symmetry and determine a possible equation when given the graph. [TMM003 obj. 1.4]Use trigonometric or inverse trigonometric function in real-world applications. [TMM003 obj. 2.1]Solve trigonometric and inverse trigonometric equations in degrees and radians including real-world applications. [TMM003 obj. 3.1]Express angle in both degree and radian measure. [TMM003 obj. 3.2]Solve right and oblique triangles including application problems. [TMM003 obj. 4.1]Verify trigonometric identities by using the fundamental trigonometric identities.(Pythagorean, sum and difference, double-angle, half-angle) [TMM003 obj. 5.1]Use appropriate vector notation and represent vectors graphically in rectangular and polar coordinates. [TMM003 obj. 5.2]Perform vector operations graphically and algebraically. [TMM003 obj 5.3]Solve application problem using vectors. [TMM obj. 6]Graph complex numbers, perform the four basic operation, use DeMoivre’s Theorem. [TMM003 obj. 7]Convert points and equations between rectangular and polar form, graph polar functions, solve polar equations.[TMM001 obj. 3]Express conics in standard form, graph conics, and solve applied problems involving conics.9.ADOPTED TEXT:Algebra & Trigonometry 11th Edition, Sullivan. Pearson, 2020 ISBN: 13-978-0-13-516307-810.Other Required MaterialsStudents must have a scientific calculator, but they may not use any calculator that is classified as a symbolic manipulator.11. GRADING:Grading will follow the policy in the catalog. The scale is as follows:A: 90 – 100B: 80 – 89C: 70 – 79D: 60 – 69F: Below 60 12.GRADING PROCEDURES OR ASSESSMENTS (Course Syllabus – Individual Instructor Specific) EXAMPLES BELOW:Example 1 - By PercentHomework 10%Quizzes/Tests90%Total 100%Example 2 CategoryBy Total Points% of GradeHomework (20x10)20010%Quizzes/Tests(5x360)180090%Total2000100%Example 3CategoryBy Total Points% of GradeOnline Quizzes400100%Online Tests(6x100)60015%Notebook(2x500)100025%Midterm100025%Final100025%Total4000100%13.COURSE METHODOLOGY:The course design provides instruction and materials to support the course objectives. Classes may consist of a variety of means to accomplish this including but not limiting to: lectures, class discussions, small group projects, supplemental materials, and outside assignments. Practice is an important part of the learning process. For every one hour of class time, two to three additional hours of study time should be expected.14.COURSE OUTLINE: Chapter 7Trigonometric Functions7.1Angles and Their Measure (obj. 6)7.2Right Triangle Trigonometry (obj. 1, 7)7.3Computing the Values of Trigonometric Functions of Acute Angles (obj. 1)7.4Trigonometric Functions of General Angles (obj. 1, 4)7.5Unit Circle Approach; Properties of the Trigonometric Functions (obj. 1)7.6Graphs of the Sine and Cosine Functions (obj. 1, 2, 3)7.7Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions (obj. 1, 2, 3)7.8Phase Shift; Sinusoidal Curve Fitting (obj. 2)Chapter 8Analytic Trigonometry8.1The Inverse Sine, Cosine, and Tangent Functions (obj. 2, 3, 4)8.2The Inverse Trigonometric Functions (obj. 2,3)8.3Trigonometric Equations(obj. 5)8.4Trigonometric Identities (obj. 8)8.5Sum and Difference Formulas (obj. 8)8.6Double-Angle and Half-Angle Formulas (obj. 8)8.7Product-to-Sum and Sum-to-Product Formulas (obj. 8)Chapter 9Applications of Trigonometric Functions9.1Applications Involving Right Triangles (obj. 4)9.2The Law of Sines (obj. 7)9.3The Law of Cosines (obj. 7)9.4The Area of a Triangle (obj. 7)Chapter 10Polar Coordinates; Vectors10.1Polar Coordinates ( obj. 9, 13)10.2Polar Equations and Graphs ( obj. 13)10.3The Complex Plane; DeMoivre’s Theorem ( obj. 12)10.4Vectors (obj. 9, 10, 11)10.5Dot Product(obj. 10)Chapter 11Analytic Geometry11.1Conics(obj. 14)11.2The Parabola(obj. 14)11.3The Ellipse(obj. 14)11.4The Hyperbola(obj. 14)15. SPECIFIC MANAGEMENT REQUIREMENTS: Assignments will be evaluated according to instructor directives.Suggested pace for the course:Week 1:Chapter 7Week 2:Chapter 7Week 3:Chapter 7Week 4:Chapter 7Week 5:Chapter 8Week 6:Chapter 8Week 7:Chapter 8Week 8:Chapter 8Week 9:Chapter 9Week 10:Chapter 9Week 11:Chapter 10Week 12:Chapter 10Week 13:Chapter 10Week 14:Chapter 11Week 15:Chapter 11Week 16:Finals16.OTHER INFORMATION:FERPA: Students need to understand that your work may be seen by others. Others may see your work when being distributed, during group project work, or if it is chosen for demonstration purposes. Students also need to know that there is a strong possibility that your work may be submitted to other entities for the purpose of plagiarism checks.DISABILITIES: Students with disabilities may contact the Disabilities Service Office, Central Campus, at 800-628-7722 or 937-393-3431. ................
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