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MATH-1316-DC020 Trigonometry
Prerequisite: 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: Carter, et al. Pub. McGraw-Hill, 2015
Textbook, three-ring binder, notebook paper, pencils, erasers, calculator
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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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NOTE: This is a flipped class. That means that you will be viewing video lectures as
homework and taking notes and doing practice problems during class. You should also
do a summary of the notes every night. The summary should include important
vocabulary, equations, steps, and an overview of what is being done, and when to use it.
These summaries will be taken up at the beginning of class and put in a folder you can
use during tests (except for portions on some tests which will be announced in class
before the test). You may work ahead at any time. Any graded work is due no later than
the day it is assigned in class but may be turned in earlier. Work one day late will receive
a 30 point deduction. Work two days late will receive a 50 point deduction, and any work
over two days late will remain a zero and CANNOT be corrected. !
Problem sets will be collected at my discretion. Those collected will be due at the
beginning of class and are worth one grade. Problem sets not collected will have
solutions made available. Any homework assignment with a grade below 98 may be
corrected and you will receive half the points missed for each successful correction. All
corrections must be done on a separate sheet of paper, stapled to the original paper, and
are due by the test over the paper. Papers can only be corrected once. !
Tests are worth three grades and cannot be corrected. The summary sheets can be used
on the tests.
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 two class periods later. 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.
1/5: Intro to course.
HW: read & Watch video 10.1
Chapter 11 Sequences and Series
1/6 Summation notation section 10.1; p. 595 prob. (4,6,10),(22,26,28),66
HW: Read & Watch video 10.2
1/7 Arithmetic sequences section 10.2; p. 605 prob. (4,8,14),(18,24,28),88
HW: Read & Watch video 10.3 pt1
1/8 Geometric sequences section 10.3; p. 615 prob. (4,6,8),(10,16,18),64
HW: Watch Video sect 10.3 pt 2
1/11 Geometric sequences sect 10.3; p. 615 prob. (20,24,30),(40,46,50),100
HW: read & Watch video 10.5
1/12 Binomial theorem section 10.5; p. 633 prob(4,8,10),(12,20,26),28
HW: None
1/13 Binomial theorem section 10.5; p. 633 prob. (32,36,40),(48,50,54),72
HW: none
1/14 Chapter Review
HW: p. 645-649
1/15 Chapter Test
HW: Read and view video Section 4.1
Chapter 4 Introduction to Trig Functions
1/18: Right Triangle Trig. Section 4.1 p. 227;(4,10,14);(24,32,34);30
HW: Read and view video Section 4.2 angle measure
1/19: Angle measure: Section 4.2 p.238;(2,6,10);(14,16,22);26
HW: Read and view video Section 4.2 angular physics
1/20: Angular physics: sect 4.2 p. 238 (28,32,36),(38,44,46),62
HW: Read and view video Section 4.3
1/21: Unit circle sect 4.3 p. 251 (2,4,10),(18,22,24),42
HW: None
1/22: Unit circle sect 4.3 p. 251 (34,36,40), (44,50,56),78
HW: Read and view video Section 4.4 pt 1
1/25: sine & cosine graphs sect 4.4 p. 264 2,4,8,10,12 ALL
HW: Read and view video Section 4.4 pt 2
1/26: Harmonic motion sect 4.4 p. 264 (14,18,20),(32,34,38),30
1/27: Graphing lab p. 267
1/28: mid-Chapter quiz p. 268
HW: Study for Test
1/29: Chapter Test
HW: Read Section 4.5 and video 4.5
Chapter 4 Trig Functions and applications
2/1: Other trig graphs sect 4.5 p. 277 (2,8,14),(30,32,34),36
HW: video 6.1 damped motion
2/2: Damped motion sect 4.5 p. 277 (18,22,26),(50,52,54),28
HW: Read and view video Section 4.6
2/3: Inverse trig functions sect 4.6 p. 288 (2,6,12),(18,22,24),16
HW: None
2/4: Inverse trig functions sect 4.6 p. 288 (30,34,36),(44,52,60),66
HW: read 4.7 and video law of sines
2/5: Law of sines. Section 4.7 p. 298;(2,4,6);(10,14,16);8
HW: video law of sines ambiguous case
2/8: Law of Sines – ambiguous cases. Sect 4.7 p. 298 ; 20,22,24,26 ALL
HW: Video law of cosines
2/9: Law of Cosines sect 4.7 p. 298 28,30,34,56 ALL
HW: Video area of triangles
2/10: Area of triangles. Sect 4.7 p. 298 (38,40,42),(46,48,50),52
HW: none
2/11: Area of triangles. Sect 4.7 p. 298 58,60,62,64 ALL
HW: none
2/12: Early Release
2/16: Chapter Review
HW: p. 302-307
2/17: Chapter Test
HW: Read 5.1 and video
Chapter 5 Analytic Trigonometry
2/18: Trig Identities. Section 5.1 p. 317;(2,6,8,);(10,14,16);60
HW: Video 5.1 simplifying
2/19: simplifying trig expressions: sect 5.1 p. 317 (24,26,28),(36,40,46),64
HW: read 5.2 and video verifying trig ids
2/22: Verifying Trig identities. Sect 5.2 p. 324;(2,6,8);(12,16,18);32
HW: none
2/23: Verifying Trig identities. Sect 5.2 p. 324;(20,26,30);(38,46,48);50
HW: read 5.3 and video solving trig eqns
2/24: Trig Equations Section 5.3 p. 331;(4,10,12);(14,16,18);20
HW: None
2/25: Trig Equations Section 5.3 p. 331;(22,28,30);(34,44,46);56
HW: None
2/26: graphing lab- trig inequalities p. 334
HW: read 5.4 and video sum & diff identities
2/29: Add & sub identities. Section 5.4 p. 341; (2,4,6);(8,10,12);16
HW: Read section 7.3 and video 7.3 pt 1;
3/1: Add & sub identities. Section 5.4 p. 341; (20,22,26);(34,38,42);48
HW: none
3/2: Graphing lab-reduction formulas p, 344
HW: Read section 5.5 and video 7.3 pt 1;
3/2: Double & half-angle Section 5.5 p. 352; (4,8,14);(18,20,26);28
HW: None
3/2: Double & half-angle Section 5.5 p. 352; 30,32,34,36 ALL
HW: Video 5.5 sum-to-product
3/3: Sum-to-prod & prod-to-sum. Sect 5.5 p.352;(38,40,44);(52,58,60);70
HW: Read 7.4 and video;
3/4: Sum-to-prod & prod-to-sum. Sect 5.5 p.352 64,68,72,86,88 ALL
HW: Read 7.4 and video;
3/7: Chapter Review
HW: p. 355-359
3/8: Chapter Test
HW: none
3/9: Review for midterm
3/10 & 3/11: Midterm exam (counts as two tests, closed note on one part)
HW: Read 7.4 and video;
3/14- 3/18: Spring Break
Chapter 7 Conic Section Transformations
3/21: Rotation of Axes Section 7.4 p. 459 2,6,8,10 ALL
HW: None
3/22: Rotation of Axes Section 7.4 p. 459 12,14,16,18 ALL
HW: None3
3/23: Rotation of Axes Section 7.4 p. 459 problems 20,26,28,30
HW: Read section 7.5 and video;
3/24: Parametric Equations Secn 7.5 p. 469;(2,6,8);(10,14,16),50
HW: none
3/25: Parametric Equations Section 7.5 p. 469 26,28,30,32 ALL
Hw: None
3/28: Parametric Equations Section 7.5 p. 469 (36,38,40),(42,44,48),56
Hw: None
3/29: Graphing Lab-Parametrics p. 472
HW: none
3/30: Chapter Review
HW: p. 473-477
3/31: Chapter Test
HW: Read and watch Video Sect 8.1
Chapter 8 Vectors
4/1: Vectors sect 8.1 p. 488;(2,4,6),(8,10,12),20
HW: none
4/4: Vectors sect 8.1 p. 488;(14,16,18),(30,32,34),36
HW: none
4/5: Vectors sect 8.1 p. 488 42,48,50,54
HW: Read and watch Video Sect 8.2
4/6: Vectors in coordinate plane sect 8.2 p. 497 (4,8,10),(12,16,18),52
HW: none
4/7: Vectors in coordinate plane sect 8.2 p. 497 (22,28,30),(40,48,50),64
HW: none
4/8: Navigation Group Projects
HW: None
4/11: Navigation Group Projects
HW: Prepare for presentation
4/12: Presentation of navigation projects
HW: Read section 8.3 and video dot product
4/13: Dot Product Section 8.3 p. 506;(2,4,6);(12,18,20);24
HW: Video 8.5 projections
4/14: Dot Product Section 8.3 p. 506;(26,30,32);(40,42,44);36
HW: Read Section 8.4 and video
4/15: 3D vectors sect 8.4 p. 514; (10,12,14)(26,30,34),16
HW: none
4/15: 3D vectors sect 8.4 p. 514; (10,12,14)(26,30,34),16
HW: None
4/18: graphing lab-vector transformations p. 517
HW: Read and watch Video Sect 8.5
4/19: Dot & cross products in 3d sect 8.5 p. 522 (2,6,12)(16,18,20),22
HW: None
4/120: Dot & cross products in 3d sect 8.5 p. 522 (26,28,30)(38,40,42),52
HW: None
4/21: Chapter Review
HW: p. 525-529
4/22: Chapter Test
HW: Read and watch Video Sect 9.1
Chapter 9 Polar Coordinates
4/25: Polar Coordinates sect. 9.1 p. 538 (4,8,10)(16,18,20)42
HW: None
4/26: Polar Coordinates sect. 9.1 p. 538 (30,32,40)(44,48,52)50
HW: None
4/27: Graphing lab-Polar graphs p. 541
HW: Read and watch Video Sect 9.1
4/28: Polar Graphs sect 9.2 p. 548 (4,8,14)(30,32,38)52
HW: Read and watch Video Sect 9.3
4/29: Polar Equations Section 9.3 p. 557;(6,12,20);(28,30,32);46
HW: None
5/2: Polar Equations Section 9.3 p. 557;(36,42,44);(48,52,54);56
HW: Read and watch Video Sect 9.4
5/3: Polar forms complex nums. Sect 8.3 p. 603;(10,14,16);(18,20,24);58
HW: Video sect 9.4 DeMoivre
5/4: DeMoivre’s Thm Sect 8.3 p, 604;(26,30,40);(44,50,52);62
HW: no more
5/5: Chapter Review
HW: p.580-585
5/6: Chapter Test
HW: none
5/9 -5/10: Semester Review
5/11 – 5/12: College Final
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