Class meeting | Topic | Assignment | ||||
Tuesday, Jan. 14
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Section 7.1
Periodic Functions |
Welcome to our class. Handouts: Ferris Wheel (See pictures of the London Eye: 1 2 3) Syllabus Internet Resources (with a link to the General Course Information) Today's objectives: 1. Identify if a graph represents a periodic function. 2. Determine period, amplitude and midline. 3. Use a graph to find and interpret y if given t or vice versa. Due: Thursday, January 16 Read: General Course Information, the Syllabus, and, if you have the text, Section 7.1 and 7.2 Do: If necessary, purchase a TI-84 Plus CE or equivalent and purchase eHW access. Note: access is good for one year. Practice on eHW Flash Cards: 7.1 Periodic Functions. Optional: Section 7.1 -- your choice of 1-17, 23-34 as needed. Review eHW Math Background Needed for MA 15400 and eHW Flash Cards for Prerequisite Skills See also Practice Questions to Check Prerequisite Skills Needed for MA 15400 and these Worked out Solutions. You should also be proficient in these skills needed for MA 15300. Prepare for QUIZ 1 next Tuesday, Jan. 21 over prerequisite skills. Due
Friday, January 17, 11:59 pm:
E-HW: John's Syllabus- Score 90% or Higher by the Deadline! |
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Thursday, Jan. 16 | Section 7.2
The Sine Function (and its Sidekick, Cosine) |
Prepare for QUIZ 1 next Tuesday, Jan. 21 over
prerequisite skills.
Due
Friday, January 17, 11:59 pm:
E-HW: John's Syllabus- Score 90% or Higher by the Deadline! |
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Class meeting | Topic | Assignment | ||||
Tuesday, Jan. 21 | Section 7.3
Radians |
Do (for practice): |
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Thursday, Jan. 23 | Today: Special Angles |
Handout: Unit circle with exact values We worked some problems from Writing Assignment 2 on finding angles in radians (exactly).
Today's objectives: For Tuesday, Jan. 28: QUIZ 2 over 7.1 and 7.2 |
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Class meeting | Topic | Assignment | ||||
Tuesday, Jan. 28 | Section 7.4 Graphs of Sine and Cosine |
Today's objectives: 1. Know the main characteristics (period, amplitude, midline, domain, range, odd/even symmetry, when it is positive, negative, increasing, decreasing, if it starts at or above the midline) of the graph of y = sin θ, and y = cos θ. Relate this to the unit circle as the x-coordinate (cosine) or the y-coordinate (sine) of the point on the circle. 2. For y = Asin(x) + k or y = Acos(x) + k , identify the period, amplitude, and midline. We discussed the domain, range, period, and amplitude of y
= sin(x) and y = cos(x) and how these can be
determined from the unit circle.
The first multiplies the output by a quantity; the second
adds/subtracts a quantity to the output.
Due tonight, Tuesday, Jan. 28, 11:59 pm:
E-HW 02
Section 7.3 |
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Thursday, Jan. 30 | Section 7.5 The graph of y = sin(Bx) (Inside multiplicative change) |
For the function y = AsinBx + k
or y = AcosBx + k
Do (for practice): Tuesday, Feb. 4: QUIZ
3 over Section
7.3
and Chapter 7 Skills Refresher |
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Class meeting | Topic | Assignment | ||||
Tuesday, Feb. 4 | Section 7.5 For positive values of A, B, h, k, and φ we explored the graph of y = Asin(B(x − h)) + k or y = Asin(Bx − φ) + k where h is the horizontal shift to the right and where φ = Bh is the phase shift to the right |
Today: QUIZ 3 over
7.3 and Chapter 7 Skills Refresher Continued Section 7.5. If given a graph, find the midline, period, amplitude, and the horizontal and phase shifts. When specifying horizontal and phase shift, include whether it is regular sine or cosine (or upside down versions of these), whether it is shifted left or right, and by how much. Today's objectives: 1. Given a graph and a model choice (regular or upside down sine or cosine) report the phase shift. 2. Given a graph with a nonzero phase shift φ or horizontal shift h, find a formula y = Asin(B(x−h))+ k or y = Asin(Bx−φ) + k. 3. If you have found the phase shift, φ, of the graph of y =sin(Bx−φ), check that your value is correct by multiplying out y =sin(B(x−h)) and verifying that B·h = φ, where h is the horizontal shift. Do (for practice):: Flash Card 7.5 Find Phase Shift Flash Card 7.5 Find a Formula of a Sine or Cosine Function (Phase Shift Needed) Optional: Section 7.5 -- 27-31, 37, 38, 44-50 and read Section 7.6 and, if needed, Sections 2.4, 6.1, 6.2 Due Tuesday, Feb. 11 - Writing Assignment 3: Trig Graphs Due Tuesday, Feb. 11, 11:59 pm: E-HW 04 Section 7.4-7.5 |
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Thursday, Feb. 6 | Section 7.6 The Tangent Function |
Today's objectives: 1. Know the main characteristics (period, domain, range, symmetry, value at π/4, when it is positive, negative, zero, undefined. increasing) of the graph of y = tan θ. 2. Relate the graph of y = tan θ to the unit circle as the slope y/x of the line through the origin and the point on the circle. 3. Given the graph of y = AtanBx and its intercepts and vertical asymptotes, find A and B. 4. Given the formula of y = AtanBx, report its intercepts and vertical asymptotes (exact). Solve Atan Bx = A. Do (for practice): Flash Card 7.6 Graph of y = AtanBx If you have a text, see Section 7.6 -- 1-36 Due Tuesday, Feb. 11 - Writing Assignment 3: Trig Graphs Due Tuesday, Feb. 11, 11:59 pm: E-HW 04 Section 7.4-7.5 Due Thursday, Feb. 20, 11:59 pm: E-HW 05 Section 7.6 -7.8 Tuesday, Feb. 11: QUIZ 4 over 7.4 and 7.5 Test 1 next week. See review sheet. This is in the folder Reviews for Exams on Blackboard. |
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Class meeting | Topic | Assignment | ||||
Tuesday, Feb. 11 | The Reciprocal Functions |
Today's objectives: 1. Find exact values of sin θ, cos θ, tan θ, csc θ, sec θ, cot θ if given the angle θ as a multiple of 30°, 45°, and 60° (or π/6, π/4, or π/3). 2. Find exact values of sin θ, cos θ, tan θ, csc θ, sec θ, cot θ if given the value of one of these trig functions.
Do (for practice):
Optional:
Section 7.7 -- 1-20 |
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Wed., Feb. 12 | Walk-in testing available. |
You can take Test 1 in the Math Test Center (KT G18)
Wed., Feb. 12 from 9:00 AM - 7:00 PM. (It closes at 8:00 pm) |
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Thursday, Feb. 13 | No class meeting Walk-in testing available. |
No class meeting, (See Review sheet on BB in the
folder Reviews for Exams.) You can take Test 1 in the Math Test Center (KT G18) Thurs., Feb. 13, 9:00 AM-7:00 PM (It closes at 8:00 pm.) |
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Friday, Feb. 14 | Walk-in testing available. |
You can take Test 1 in the Math Test Center (KT G18)
Fri., Feb. 14, 9:00 AM - 3:30
PM (It closes at 4:30 pm.) This is the last day to take the test. |
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Class meeting | Topic | Assignment | ||||
Tuesday, Feb. 18 | Inverse Functions and Right Triangle Trigonometry with SohCahToa and Pythagoras |
Today's objectives: 1. Solve simple trig equations over a requested interval; for example [0, 2π), [0,360°), (−∞,∞), or other intervals, providing a. exact values of angles measured in radians (when given special angles as in 1a above) b.decimal approximations using the inverse trig functions 2. Distinguish the meaning of the notation sin−1x, arcsin x, sin2x, sin x2, csc x, etc. 3. Interpret tan θ as the slope of the angle of inclination. 4. If given any two of the side lengths of a right triangle, find the remaining parts. 5. If given a side length and an angle of a right triangle, find the remaining parts.
Do (for practice):
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Thursday, Feb. 20 | Solving Triangles |
Today's objectives: 1. Solve for sides and angles of a triangle using the Law of Sines. 2. Determine when you can use SohCahToa and Pythagoras and when you can use the Law of Sines. 3. Solve for sides and angles of a triangle using the Law of Cosines. 4. Determine when you can use the Law of Cosines and when you can use the Law of Sines.
Do (for practice):
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Class meeting | Topic | Assignment | ||||
Tuesday, Feb. 25 | The Law of Cosines and the Ambiguous Case of the Law of Sines |
Today's objectives: 1. Solve for sides and angles of a triangle using the Law of Cosines. 2. Determine when you can use the Law of Cosines and when you can use the Law of Sines. 3. Identify and solve problem situations involving the ambiguous case of the Law of Sines. 4. Convert coordinates from polar to rectangular and vice versa
Do (for practice):
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Thursday, Feb. 27 | Polar Coordinates (8.3) and Solving Trig Equations Graphically (9.1) |
Today's objectives: Writing Assignment 5: The Law of Sines and Cosines to the Rescue due Thursday, |
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Class meeting | Topic | Assignment | ||||
Tuesday, March 3 | Trigonometric Identities (9.2) |
Today's objectives: 1. Rewrite trigonometric expressions. 2. Build fractional fluency.
Do (for practice): |
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Wed., Mar. 4 | Walk-in testing available. |
You can take Test 2 in the Math Test Center (KT G18)
Wed., Mar. 4 from 9:00 AM - 7:00 PM. (It closes at 8:00 pm) |
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Thursday, Mar. 5 | No class meeting Walk-in testing available. |
No class meeting, You can take Test 2 in the Math Test Center (KT G18) Thurs., Mar. 5, 9:00 AM-7:00 PM (It closes at 8:00 pm.) |
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Friday, Mar. 6 | Walk-in testing available. |
You can take Test 2 in the Math Test Center (KT G18)
Fri., Mar. 6, 9:00 AM - 3:30
PM (It closes at 4:30 pm.) This is the last day to take the test. |
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Class meeting | Topic | Assignment | ||||
March 9-13 | Spring Break |
No class meetings. Have a great Spring Break! |
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Class meeting | Topic | Assignment | ||||
March 16-20 | Spring Break Continued |
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See Blackboard from here forward for learning activities and due dates |
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Week 9: March 23-29 | ||||||
Week 10: March 30-April 5 | ||||||
Week 11: April 6-12 | ||||||
Week 12: April 13-19 | ||||||
Week 13: April 20-26 | ||||||
Week 14: April 27 - May 3 | ||||||
Week 15: May 4-8 Final Exam Week | ||||||
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This page is on the Web at http://users.pfw.edu/lamaster/ma154/s20ma154.htm