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MATH-1316-DC014 Trigonometry
MATH 1414-minimum grade of C or Department Chair consent
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.
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.
LEARNING OBJECTIVES: Upon successful completion of this course, students will:
In order to receive your AC Connect Email, you must log in through AC Connect at https://acconnect.actx.edu .
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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Each six-weeks grade will be based on the following weights:
Homework: 1 grade
Quizzes: 2 grades
Tests: 3 grades
Mid-term exam: 6 grades
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, 2014 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 the problem in 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.
1/6: Intro to course.
HW: read & Watch video 11.1
Chapter 11 Sequences and Series
1/7 Summation notation section 11.1; p. 830 prob. (4,8,16),(26,34,42),76
HW: Read & Watch video 11.2
1/8 Arithmetic sequences section 11.2; p. 837 prob. (4,8,16),(42,46,54),60
HW: Read & Watch video 11.3 pt 1
1/9 Geometric sequences section 11.3; p. 844 prob. 5,16,24,36,38 ALL
HW: Watch Video sect 11.3 pt 2
1/10 Geometric sequences section 11.3; p. 844 prob. 44,48,68,72,78 ALL
HW: read & Watch video 11.4
1/13 Financial Math section 11.4; p. 853 prob. 4,10,14,20,22 WORK ALL
HW: Read & Watch video 11.6 pt 1
1/14 Binomial theorem section 11.6; p. 868 prob. 6,8,12,16,18 WORK ALL
HW: Watch Video 11.6 pt 2
1/15 Binomial theorem section 11.6; p. 868 prob. (24,28,36),(40,42,46),52
HW: Watch Video Chapter test
1/16 Chapter Review
HW: p. 870-873
1/17 Chapter Test
HW: Read and view video Section 5.1
Chapter 5 Introduction to Trig Functions
1/20: Unit circle p. 406; 8,10,14,16,18 WORK ALL
HW: None
1/21: Terminal points Section 5.1 p.407; (20,24,28); (36,44,48);54
HW: Read Section 5.2 and video 5.2 basics and examples
1/22: Basic Trig Functions. Section 5.2 p. 416; (2,10,18);(30,32,38);40
HW: Video basic trig identities introduction and examples
1/23: Basic Trig identities. Sect 5.2 p. 417;(48,56,58);(62,66,68);82
HW: Read Section 5.3 and video intro and examples;
1/24: sine & cosine Graphs. Section 5.3
p. 429;(4,6,10);(18,24,28);36
HW: sine & cosine graphs second lesson
1/27: sine & cosine Graphs. Section 5.3 p. 429; (46,50,58);(60,64,72);82
HW: Other Trig Graphs
1/28: other trig graphs Section 5.4 p. 441; (10,14,18);(20,42,46);54
HW: Read Section 5.5 and video;
1/29: Harmonic motion. Section 5.5 p. 451; (4,6,8);(10,16,20);26
HW: None
1/30: Harmonic motion: section 5.5 p. 451; 34,36,42,44,46 ALL
HW: None
1/31: Fitting Sinusoidal Curves p. 459-465 prob. 4,6,8
HW: None
2/3: Chapter Review
HW: p. 454-457. Study for Test
2/4: Chapter Test
HW: Read Section 6.1 and video 6.1 pt 1
Chapter 6 Trig Functions of Angles
2/5: Angle measure: Section 6.1 p.474;(2,8,12);(14,20,22;28
HW: video 6.1 pt 2
2/6: angular physics p. 475;(50,54,58);(64,68,70);82
HW: Read 6.2 and video 6.2;
2/7: Right Triangle Trig. Section 6.2 p. 484;(10,12,14);(24,26,34);62
HW: Read 6.3 and video sect 6.3;
2/10: Trig Functions of angles. Section 6.3 p. 495; (4,12,18);( 26,34,40);62
HW: Read section 6.4 and video;
2/11: Law of sines. Section 6.4 p. 506;(4,6,10);(12,14,16);42
HW: video law of sines ambiguous case
2/12: Law of Sines – ambiguous cases. Section 6.4 p. 506;24,26,28,34 ALL
HW: Read section 6.5 and video;
2/13: Law of Cosines p. 513 (4,6,16),(20,24,26);44
HW: Video area of triangles
2/14: Early Release
2/18: areas of triangles Section 6.5 p. 514 28,32,46,50 ALL
HW: None
2/19: Focus On Modeling: Surveying p. 522-525 2,4,6
2/20: Chapter Review
HW: p. 516-519
2/21: Chapter Test
HW: Read 7.1 and video
Chapter 7 Analytic Trigonometry
2/24: Trig Identities. Section 7.1 p. 533;(2,8,10);(16,20,26);30
HW: Video 7.1 pt 2
2/25: Verifying Trig identities. Section 7.1 p. 533;(42,50,58);(66,68,84);92
HW: Read Section 7.2 and video;
2/26: Add & sub identities. Section 7.2 p. 539; (6,10,12);(18,22,32);56
HW: Read section 7.3 and video 7.3 pt 1;
2/27: Double & half-angle Section 7.3 p. 548; (6,8,14);(20,24,30);36
HW: Video 7.3 pt 2
2/28: Sum-to-product & product-to-sum. Section 7.3
p. 548;(44,50,54);(66,68,78);90
HW: Read 7.4 and video;
3/3: Inverse Trig functions Section 7.4 p. 557;( 10,12,16);(20,24,30);48
HW: Read Section 7.5 and video pt 1;
3/4: Trig Equations Section 7.5 p. 568;(4,6,10);(22,2636);44
HW: Video Sect 7.5 pt 2
3/5: Solving Trig Equations Section 7.5 p. 569;(60,68,74);(75,76,78);82
HW: None
3/6: Chapter Review
HW: p. 571 – 573
3/7: Chapter Test
HW: Read 8.1 and video
3/8- 3/16: Spring Break
3/17: Review for midterm
3/18 & 3/19: Midterm exam (counts as two tests, closed note on one part)
Chapter 8 Polar Coordinates
3/20: Polar Coordinates Section 8.1 p. 586;(2,4,6);(8,10,12);(14,18,20)
HW: Video 8.1 pt 2
3/21: Polar Equations Section 8.1 p. 587;(36,38,40);(42,44,46);(48,50,58)
HW: Read Section 8.2 and video
3/24: Graphs of Polar Eqns Section 8.2 p. 594:(2,4,6);(8,12,14);(16,20,26)
HW: Video 8.2 pt 2
3/25: Graphs of Polar Eqns Section 8.2
p. 595;(30,32,34,36);(44,46,48,50);(54,56)
HW: Read Section 8.3 and video;
3/26: Polar forms of complex numbers. Section 8.3
p. 603;(2,4,6,8);(12,14,16);(26,40,42)
HW: Video sect 8.3 DeMoivre
3/27: DeMoivre’s Theorem & complex arithmetic Section 8.3
p, 604;(50,56,60,64);(66,70,80,82);(90,96)
HW: Read Section 8.4 and video;
3/28: Vectors. Section 8.4 p. 615;(4,6,10);(14,18,20,22);(24,26)
HW: Video sect 8.4 pt 2
3/31: Vector Applications Section 8.4 p. 616;(40,42);(44,46);(48,50)
HW: Video force equilibrium
4/1: Force Equilibrium Section 8.4 p. 617; Work all of 52,54,56,58
HW: None
4/2: Navigation Group Projects
HW: Prepare for presentation
4/3: Presentation of navigation projects
HW: Read section 8.5 and video 8.5 pt 1
4/4: Dot Product Section 8.5 p. 624;(2,4,6,8);(10,12,14);(16,18)
HW: Video 8.5 pt 2
4/7: Dot product Apps pt 1 Section 8.5 p. 624;(20,22);(24,26,28);(36,38)
HW: Video 8.5 pt 3
4/8: Dot product Applications pt 2 Section 8.5
p. 625 Work All problems 40,42,44,46
HW: None
4/9: Chapter Review
HW: p. 627 – 629.
4/10: Chapter Test
HW: Read Section 10.1 and video assn 1
Chapter 9 Conic Section Transformations
4/11: Shifting Conics Section 10.4 p. 781; (2,4,6,8);(10,12,14);(16,18)
HW: Video10.4 assn 2
4/14: Shifting Conics Section 10.4 p. 782;(20,22,24);(26,28,30);(36)
HW: Video 10.4 assn 3
4/15: Shifting Conics Applications Section 10.4
Work All p. 782 problem 38,40
HW: Read Section 10.5 and video 10.5 assn 1;
4/16: Rotation of Axes Section 10.5 p. 790;(2,4,6);(8,10,12);(36)
HW: video 10.5 assn 2
4/17: Rotation of Axes Section 10.5 p. 791;(14,18,20);(22,24,26);(28,30)
HW: Video 10.5 assn 3
4/21: Rotation of Axes Section 10.5 Work all p. 791 problems 32,34
HW: Read section 10.6 and video assn 1;
4/22: Polar equations of conics Section 10.6 p. 799;(2,4,6,8);(10,12,14);(28)
HW: Video 10.6 assn 2
4/23: Polar equations of conics Section 10.6 p. 800;(16,18);(20,22);(30)
HW: Read section 10.7 and video 10.7 assn 1;
4/24: Parametric Equations Secn 10.7 p. 807;(2,6,8,12);(16,18,20,22);(54)
HW: Video 10.7 assn 2
4/25: Parametric Equations Section 10.7 p. 807;(24,26,28);(30,32,24);(60)
Hw: None
4/28: Chapter Review
HW: p. 810-815
4/29: Chapter Test
HW: Read and watch Video Sect 12.1
Chapter 12 Limits
4/30: Graphical Limits secn 12.1 p. 889 (2,4,6),(8,12,14),24
HW: Read and watch Video Sect 12.2
5/1: Algebraic Limits Sect 12.2 p. 897 (4,8,10),(12,16,20),34
HW: Read and watch Video Sect 12.3
5/2: Tangent Lines Sect 12.3 p. 906 (2,4,6),(10,12,14),28
HW: Read and watch Video Sect 12.4
5/5: Infinite Limits sect 12.4 p. 915 (2,8,10),(14,20,26),32
HW: Read and watch Video Sect 12.5
5/6: Area Sect 12.5 p. 924 2,6,10,14 ALL
HW: None
5/7: Interpretations of Area p. 929-933 2,4
HW: None
5/8: Chapter Review
HW: p.925 -928
5/9: Chapter Test
HW: Read and watch Video Sect 12.1
5/12 -5/13: Semester Review
5/14 – 5/15: College Final
5/16-5/23: Research
5/27-5/29: research presentation
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