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MATH-1316-023 Trigonometry
MATH 1314-minimum grade of C or Department Chair consent
Trigonometric functions and graphs; triangle solutions; identities; equations; inverse functions; complex numbers and polar coordinates.
Student Resources Student Resources Website
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(3 sem hrs; 3 lec)
Dual Credit Course
Precalculus: Mathematics for Calculus, fifth ed. Stewart et al, , 2006, Brooks Cole.
Textbook, three-ring binder, notebook paper, pencils, erasers, calculator.
PERFORMANCE/LEARNING OBJECTIVES: After completing this course, the student will be able to demonstrate knowledge of the following topics:
1. Solving triangles
2. Definitions of the trigonometric functions
3. Graphing trigonometric functions and their inverses
4. Proving trigonometric identities
5. Writing the trigonometric forms of complex numbers
6. Graphing equations in polar coordinates
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If you are an active staff or faculty member according to Human Resources, use "Exchange". All other students, use "AC Connect (Google) Email".
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85% of each six-weeks grade will be based on the following weights:
Homework: 1 grade
Quizzes: 2 grades
Tests: 3 grades
The remaining 15% will be from the comprehensive six-weeks exam.
Twenty five percent of each semester grade comes from the six-weeks grades. The remaining 25% will be from the comprehensive semester exam.
Quizzes are open-note and open book and will be unannounced. Tests will be closed book and closed-note. The full class period will be allotted to tests. A final exam will be given. All makeup quizzes and tests must be taken within one school day (not class period) of the student’s return. It is the student’s responsibility to schedule makeup work with the instructor.
An average of these grades will determine the final grade.
A: 90 – 100%
B: 80-89%
C: 70-79%
D: 60-69%
F: 59% or lower
You are expected to attend every class. If you are going to miss a class, pick up the assignment ahead of time. The assignment will be due the next class period. Excused absences due to illness will require that assignments missed are due the next class period. Assignments due on the date of the absence are due the first class period the student returns.
Plane Trigonometry
Spring, 2012 Schedule of topics
You must work at least 4 problems (any 2 from each of the first two groups) to get a grade of 80. To get a grade above an eighty, you must work one from the third group. More may be worked for extra credit ONLY if one from the third group is worked. Extra problems are worth 10 points each.
1/9: Intro to course. Unit Circle. Section 5.1.
HW: Read Section 5.1.
1/10: Unit circle continued.
HW: p. 406; (2,4,6);(8,10,12);(14,16,18)
1/11: Terminal points Section 5.1
HW: Read Section 5.2; p.407; (22,26,28,30); (32,34,40,42);(50,52)
1/12: Basic Trig Functions. Section 5.2
HW: p. 416; (4,6,8,12);(24,26,28);(34,36)
1/13: Basic Trig identities. Section 5.2
HW: Read Section 5.3; p. 417; (46,48,50.52);(54,60,64,69);(80,82)
1/17: sine & cosine Graphs. Section 5.3
HW: p. 429;(2,8,12,14);(16,20,22,26);(30,38)
1/18: sine & cosine Graphs. Section 5.3
HW: Read Section 5.4; p. 429; (42,44,46,48);(70,72,74);(76,80)
1/19: other trig graphs Section 5.4
HW: Read Section 5.5; p. 441; (2,4,6);(8,12,16);(48,56)
1/20: Harmonic motion. Section 5.5
HW: p. 451; (2,6,8);(10,12,14,16);(18,22,24)
1/23: Harmonic motion: section 5.5
HW: p. 451; (26,28,30);(32,36,38,40);(42,44,46)
1/24: Predator-Prey modeling project
HW: p. 432-433
1/25: Fitting Data to sinusoids project
HW: p. 463 all problems
1/26: Chapter Review
HW: p. 454-457. Study for Test
1/27: Chapter Test
HW: Read Section 6.1
1/30: Angle measure: Section 6.1
HW: p.474;(2,4,6,10);(14,16,18,24);(26,34,40)
1/31: Arcs, Circular areas, angular physics
HW: Read 6.2; p. 475;(50,52,56);(60,62,66);(68,72,80)
2/1: Right Triangle Trig. Section 6.2
HW: Read 6.3; p. 484;(2,4,6,8);(16,18,20,22);(48,50,64)
2/2: Trig Functions of angles. Section 6.3
HW: Read section 6.4; p. 495; (2,6,8);(10,14,36,38);(64,66,68)
2/3: Law of sines. Section 6.4
HW: p. 506;(2,8,10);(12,14,16);(32,34,36)
2/6: Law of Sines – ambiguous cases. Section 6.4
HW: Read section 6.5; p. 506;(18,20,22,26);(28,30);(38,40)
2/7: Law of Cosines
HW: p. 513 (2,8,10,12),(14,18,22,26);(40,42,46)
2/8: Law of cosines & areas of triangles Section 6.5
HW: p. 514;(28,30,32,34);(48,50)
2/0: Chapter Review
HW: p. 516-519
2/10: Chapter Test
HW: Read 7.1
2/13: Trig Identities. Section 7.1
HW: p. 533;(4,6,10);(12,14,18,24);(28,38)
2/14: Verifying Trig identities. Section 7.1
HW: Read Section 7.2; p. 533;(40,54,60);(70,80.88);(90,94)
2/15: Addition and subtraction identities Section 7.2
HW: Read section 7.3; p. 539; (2,4,8);(14,16,18);(50,54)
2/16: Double angle & half-angle formulas Section 7.3
HW: p. 548; (2,4,10,12);(16,18,22,26);(39,32)
2/17: Sum-to-product & product-to-sum formulas Section 7.3
HW: Read 7.4; p. 548;(42,46,48,52);(56,58,60,72);(92,94)
2/21: Inverse Trig functions Section 7.4
HW: Read Section 7.5; p. 557;( 2,4,6,8);(14,22,26,28);(54,56)
2/22: Trig Equations Section 7.5
HW: p. 568;(2,8,12);(20,30,38);(44,46)
2/23: Solving Trig Equations Section 7.5
HW: p. 569;(62,64,66);(70,72);(80,84)
2/24: Wave modeling project
HW: p. 578-579 any five problems. Others for extra credit.
2/27: Chapter Review
HW: p. 571 – 573
2/28: Chapter Test
HW: Read 8.1
2/29: Review for midterm
3/1 & 3/2: Midterm exam (counts as two tests, closed note on one part)
3/5: Polar Coordinates Section 8.1
HW: p. 586;(2,4,6);(8,10,12);(14,18,20)
3/6: Polar Equations Section 8.1
HW: Read Section 8.2; p. 587;(36,38,40);(42,44,46);(48,50,58)
3/7: Graphs of Polar Equations Section 8.2
HW: p. 594:(2,4,6);(8,12,14);(16,20,26)
3/8: Graphs of Polar Equations Section 8.2
HW: Read Section 8.3; p. 595;(30,32,34,36);(44,46,48,50);(54,56)
3/9 TAKS Makeup Day – used on day of ELA TAKS test (TBA)
3/12- 3/16: Spring Break
3/19: Polar forms of complex numbers. Section 8.3
HW: p. 603;(2,4,6,8);(12,14,16);(26,40,42)
3/20: DeMoivre’s Theorem & complex arithmetic Section 8.3
HW: Read Section 8.4; p, 604;(50,56,60,64);(66,70,80,82);(90,96)
3/21: Vectors. Section 8.4
HW: p. 615;(4,6,10);(14,18,20,22);(24,26)
3/22: Vector Applications Section 8.4
HW: p. 616;(40,42);(44,46);(48,50)
3/23: Fractals discovery project
Classwork: p. 607 all questions
3/26: Force Equilibrium Section 8.4
HW: p. 617; Work all of 52,54,56,58
3/27: Navigation Group Projects
HW: Prepare for presentation
3/28: Presentation of navigation projects
HW: Read section 8.5
3/29: Dot Product Section 8.5
HW: p. 624;(2,4,6,8);(10,12,14);(16,18)
3/30: Dot product Applications pt 1 Section 8.5
HW: p. 824;(20,22);(24,26,28);(36,38)
4/2: Dot product Applications pt 2 Section 8.5
HW: p. 825 Work All problems 40,42,44,46
4/3: Chapter Review
HW: p. 627 – 629.
4/4: Chapter Test
HW: Read Section 10.1
4/9: Snow Day
4/10: Parabolas Section 10.1
HW: p. 751;(8,12,16,18);(26,28,30,36);(38,40,44)
4/11: Parabolas Applictions Section 10.1
HW: Read Section 10.2; Work all p. 752 problems 48,50,52,54
4/12: Circles and Ellipses Section 10.2
HW: p. 759;(2,4,6,12);(20,22,24);(30,34,38)
4/13: Ellipse Applications Section 10.2
HW: Read Section 10.3; Work all p. 760 prob. 44,48,50,54
4/11: Hyperbolas Section 10.3
HW: p. 768;(2,4);(6,10,14,16);(18,20,22)
4/12: Hyperbolas Section 10.3
HW: Read Section 10.4; p. 769;(28,30,32);(34,36,38);(44,46)
4/16: Shifting Conics Section 10.4
HW: p. 781; (2,4,6,8);(10,12,14);(16,18)
4/17: Shifting Conics Section 10.4
HW: p. 782;(20,22,24);(26,28,30);(36)
4/18: Shifting Conics Applications Section 10.4
HW: Read Section 10.5; Work All p. 782 problem 38,40
4/19: Rotation of Axes Section 10.5
HW: p. 790;(2,4,6);(8,10,12);(36)
4/20: Rotation of Axes Section 10.5
HW: p. 791;(14,18,20);(22,24,26);(28,30)
4/23 – 4/27: TAKS week. Makeup and work on problems
4/30: Rotation of Axes Section 10.5
HW: Read section 10.6; Work all p. 791 problems 32,34
5/1: Polar equations of conics Section 10.6
HW: p. 799;(2,4,6,8);(10,12,14);(28)
5/2: Polar equations of conics Section 10.6
HW: Read section 10.7; p. 800;(16,18);(20,22);(30)
5/3: Parametric Equations Section 10.7
HW: p. 807;(2,6,8,12);(16,18,20,22);(54)
5/4: Parametric Equations Section 10.7
p. 807;(24,26,28);(30,32,24);(60)
5/7 -5/8: Semester Review
5/9 – 5/10: College Final
5/11-5/22: Research on mathematicians
5/23-5/29: research presentations
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