Class meeting  Topic  Assignment  
Monday, August 26

Section 7.1
Periodic Functions 
Welcome to our class. Check out the
schedule for Welcome Week.
Handouts: Ferris Wheel (See pictures of the London Eye: 1 2 3) Syllabus Practice Questions to Check Prerequisite Skills Needed for MA 15400 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: Wednesday, August 28 Due
Friday, August 30, 11:59 pm:
EHW: Quiz on John's Syllabus Score 90% or Higher by the Deadline! 

Wednesday, August 28 
Section 7.2
The Sine Function (and its Sidekick, Cosine) 
Prepare for QUIZ 1 next Wednesday, Sept 4 over prerequisite skills.
Due
Friday, August 30, 11:59 pm:
EHW: Quiz on John's Syllabus Score 90% or Higher by the Deadline! 

Friday August 30 
Section 7.3
Radians 
Do (for practice): Prepare for QUIZ 1 next Wednesday, Sept 4 over
prerequisite skills.


Class meeting  Topic  Assignment  
Mon, Sept. 2  Labor day holiday  No class meeting  
Wed., Sept. 4  Chapter 7 Skills Refresher Special Angles 
Today: QUIZ 1 over Prerequisites. We briefly looked at special
angles Do (for practice): Flash Card Ch 7 Skills Refresher Properties of Special Triangles Flash Card Ch 7 Skills Refresher Exact Values of Sine and Cosine If you have a text, see Chapter 7 Skills Refresher (page 325)  2530 Due Friday, Sept. 6, 11:59 pm: EHW
01 Sections 7.1  7.2 

Fri., Sept. 6  Chapter 7 Skills Refresher Special Angles cont'd 
Today's objectives: 1. Find exact values of sine and cosine for multiples of 30°, 45°, and 60° or their radian equivalents π/6, π /4, or π /3. 2. Use proportional reasoning to find sides of special triangles. Do (for practice): Flash Card Ch 7 Skills Refresher Properties of Special Triangles Flash Card Ch 7 Skills Refresher Exact Values of Sine and Cosine If you have a text, see Chapter 7 Skills Refresher (page 324)  1  24, 2631 Due tonight, Friday, Sept. 6, 11:59 pm: EHW
01 Sections 7.1  7.2 Prepare for QUIZ 2 next Monday, Sept. 9 over 7.1 and 7.2 

Class meetingg  Topic  Assignment  
Mon, Sept. 9  Section 7.4 Graphs of the Sine and Cosine (and Outside Changes to the Formula) 
Today: QUIZ 2 over 7.1 and
7.2 We explored the graph of y = Asin(x) + k (Outside additive and multiplicative changes) Today's objectives: 1. Solve simple trig equations over a requested interval; for example on the interval [0, 2π) find θ if sin θ = 1/2, providing exact values of angles measured in radians when they are multiples of π/6, π /4, or π /3. Be aware of when more than one solution exists! Be able to sketch the angle or angles. 2. 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 xcoordinate (cosine) or the ycoordinate (sine) of the point on the circle. 3. 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.
Do (for practice):


Wed., Sept. 11  Section 7.5 
For the function y = AsinBx + k we explored the effects of B on the period to find that, for positive values of B, this graph has a period of 2π/B, an amplitude of A, and midline which is y = k. Today's objectives:
Due tonight, Wednesday,
Sept. 11, 11:59 pm: EHW
02 Sections 7.3 

Fri., Sept. 13  Section 7.5 The graph of y = Asin(B(x−h)) (Inside additive change)

Today: 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)::
Due
tonight, Friday, Sept. 13, 11:59 pm: EHW
03 Chapter 7 Skills Refresher 

Class meetingg  Topic  Assignment  
Mon, Sept. 16  The Phase Shift (Cont'd) and Section 7.6 The Tangent Function 
Today's objectives: 1. 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. 2. 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. 3. 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.
Do (for practice):


Wed., Sept. 18  Section 7.6 The Tangent
Function (Cont'd) and Section 7.7 Reciprocal Functions 
Today's objectives:
Friday, Sept 20: QUIZ 4 over 7.4 and 7.5 

Fri., Sept. 20  Section 7.7 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): Flash Card 7.7 Find exact values of all six trig functions of any angle If you have a text, see Section 7.7  135, 37, 38, 4450
Due tonight, Friday, Sept. 20, 11:59 pm: EHW 03 Section 7.4 and 7.5 Test 1 next week. See Review Sheet. This is in the folder Reviews for Exams on Blackboard. 

Class meetingg  Topic  Assignment  
Mon, Sept. 23  Section 7.8 Inverse Trig Functions 
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^{−1}x, arcsin x, sin^{2}x, sin x^{2}, csc x, etc. 3. Interpret tan θ as the slope of the angle of inclination.
Do (for practice):


Wed., Sept. 25  Today: Section 8.1
Right Triangle Trigonometry: SohCahToa and
Pythagoras 
Today's objectives:


Fri., Sept. 27  No class meeting 
Test 1 is available in the Test Center, KT G18, if you have not yet taken
it. Due Wednesday, Sept. 24 Read: Section 8.1 and 8.2 Do: Section 8.2  15, 7, 8, 32  35, 37, 41 Due Wednesday, Sept. 26, 11:59 pm: EHW 05 Section 7.7 and 7.8 Due Friday, Sept. 28, 11:59 pm: EHW 06 Section 8.1 Right Triangle Trigonometry Due Monday, Oct. 7: Writing Assignment 4: The Gateway Arch 

Class meetingg  Topic  Assignment  
Mon, Sept. 30  Section 8.2 Law of Sines 
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.
Do (for practice):


Wed., Oct. 2  Section 8.2 Law of Cosines 
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.
Do (for practice):


Class meetingg  Topic  Assignment  
Mon, Oct. 7  Polar Coordinates (8.3) and Solving Trig Equations Graphically (9.1) 
Today's objectives: 1. Convert coordinates from polar to rectangular and vice versa 2. Solve a trig equation graphically.
Do (for practice):


Wed., Oct. 9  Trig Identities (9.2) 
Today's objectives: 1. Rewrite trigonometric expressions. 2. Build fractional fluency. Do (for practice): Flash Card 9.2 Trigonometric Identities Flash Card 9.2 Use Identities to Rewrite Trig Expressions into Algebraic Expressions If you have a text, see Section 9.2  112, 14, 1626, 31, 32 and Worksheet (see BB). For more see Section 7.7  815 Due Friday, Oct. 11, 11:59 pm EHW 07 Section 8.2 Law of Sines and Cosines Due Monday, Oct. 14: Writing Assignment 5: Law of Sines and Cosines to the Rescue Due Monday, Oct. 14, 11:59 pm EHW 08 Section 8.3 and 9.1 Due Wednesday, Oct. 16, 11:59 pm: EHW 09 Section 9.2 Identities Friday, Oct. 11: QUIZ 6 over Section 8.1 and 8.2 

Fri., Oct. 11  Using Identities to Rewrite Trig Expressions into Algebraic Expressions (9.2) 
Today's objectives: 1. Use the double angle trig identities. 2. Write trigonometric expressions into algebraic expressions. Do (for practice): Flash Card 9.2 Trigonometric Identities Flash Card 9.2 Use Identities to Rewrite Trig Expressions into Algebraic Expressions If you have a text, see Section 9.2  13, 15, 27  30, 35, 54  58 Due Friday, Oct. 11, 11:59 pm EHW 07 Section 8.2 Law of Sines and Cosines 

Class meeting  Topic  Assignment  
Mon, Oct. 7  Trig Equations (9.2) and Sum and Difference Identities (9.3) 
Today's objectives: 1. Use the trig identities to solve trig equations algebraically with graphical support. 2. Use sum and difference identities. Do (for practice):


Wed. Oct. 16  Function Composition, Decomposition (10.1) and Inverses (10.2) 
Today's objectives: 1. Use function composition and decomposition 2. Find the inverse of a onetoone function Do (for practice):


Fri., Oct. 18  Vectors (12.1) 
Today's objectives:
Do (for practice):
No class meeting Monday, Oct. 21. Enjoy Fall Break! 

Class meeting  Topic  Assignment  
Mon., Oct. 21  No class meeting 


Wed., Oct. 23  Component Form of Vectors (12.2) 
Today's objectives:
Do (for practice):


Fri., Oct. 25  Combining Forces (12.3) 
Today's objectives: 1. Resolve a vector into horizontal and vertical components given its magnitude and direction. 2. Given the horizontal and vertical components of a vector, report its magnitude and direction. 3. Perform vector arithmetic. Do (for practice): Flash Card 12.3 Combining Forces If you have a text, see Section 12.3  114, 16,17, 19 and Chapter 12 Review  12, 29, 34, 35, 37 Due tonight, Friday, Oct. 25, 11:59 pm: EHW 11 Section 10.110.2 Composition, Decomposition, and Inverses Due Monday, Nov. 4, 11:59 pm: EHW 12 Section 12.112.2 Component Form of Vectors Due Wednesday, Nov. 6, 11:59 pm: EHW 13 Section 12.3 Application of Vectors Test 2 is available outside of class beginning Tuesday, Oct. 29 up until Thursday, Oct. 31. See Review Sheet. This is in the folder Reviews for Exams on Blackboard. 

Class meeting  Topic  Assignment  
Mon., Oct. 28  ndimensional Vectors (12.3) and Sequences (13.1) 
Today's objectives: 1. Perform vector arithmetic for a vector of ndimensions, n ≥ 2. 2. Classify a sequence as arithmetic, geometric, or neither and find a formula for its nth term. Do (for practice): Flash Card 12.3 nDimensional Vector Arithmetic Flash Card 13.1 Classifying Sequences: Is it Arithmetic? Flash Card 13.1 Classifying Sequences: Is it Geometric? Flash Card 13.1 Given graph, find the nth term of a sequence Flash Card 13.1 Given terms, find the nth term of a sequence Flash Card 13.1 Applications of Sequences If you have a text, see Section 12.3  113 and Section 13.1  148 Due Monday, Nov. 4, 11:59 pm: EHW 12 Section 12.112.2 Component Form of Vectors Due Wednesday, Nov. 6, 11:59 pm: EHW 13 Section 12.3 Application of Vectors Due Friday, Nov. 8, 11:59 pm: EHW 14 Section 13.1 Sequences Test 2 is available outside of class beginning Tuesday, Oct. 29 up until Thursday, Oct. 31. See Review Sheet. This is in the folder Reviews for Exams on Blackboard. No class meeting Wed. Oct. 30. 

Wed., Oct. 30  No class meeting  Take Test 2 in Math Test Center  
Fri., Nov. 1 
Series and Adding like Gauss (13.2) 
Today's objectives: 1. Find a formula for the nth term of an arithmetic or geometric sequence. 2. Find the sum of an arithmetic series using an efficient strategy (like what Gauss did).
Do (for practice): Due
Monday, Nov. 4, 11:59 pm: EHW 12 Section 12.112.2 Component Form of
Vectors 

Class meeting  Topic  Assignment  
Mon., Nov. 4  Sigma Notation (13.2) 
Today's objectives: 1. Find the sum of an arithmetic series using an efficient strategy (like what Gauss did). 2. If given a series in expanded notation, write it in sigma notation or vice versa. Do (for practice): Flash Card 13.2 Adding like Gauss  given the number of terms Flash Card 13.2 Adding like Gauss Flash Card 13.2 Given sigma notation, write in expanded form Flash Card 13.2 Given expanded form, write in sigma notation If you have a text, see Section 13.2  14, 21, 2630, 42, 45 Due
tonight, Monday, Nov. 4, 11:59 pm: EHW 12 Section 12.112.2
Component Form of Vectors 

Wed., Nov. 6  Finite Geometric Series (13.3) 
Today's objectives: 1. If given a series in expanded notation, write it in sigma notation or vice versa. 2. Determine the sum of a finite geometric series using the formula. Do (for practice):
If you have a text, see Section 13.2 
515, 1125, 3437, 42, 43, 45 and Section 13.3
 117, 2026 

Fri., Nov. 8  Infinite Geometric Series (13.4) 
Today's objectives: 1. Determine the sum of a finite geometric series using the formula. 2. Determine the sum of an infinite geometric series. Do (for practice): Due
Wednesday, Nov. 13:
Writing Assignment 7: Wilbur's Trough 

Class meeting  Topic  Assignment  
Mon., Nov. 11  Infinite Geometric Series (13.4) and Parametric Equations (14.1) 
Today's objectives: 1. Determine the sum of an infinite geometric series. 2. Given graphs of two parametric equations, sketch the path of the object. For fun, see Proofs Without Words. Do (for practice): Quiz 10 Opportunity on 13.113.2 for Wednesday, Nov. 13. 

Wed., Nov. 13  Parametric Equations (14.1) 
Today's objectives: 

Fri., Nov. 15  Circles (14.2) 
Today's objectives: 1. Given equations of two parametric equations x = f(t) and y = g(t), eliminate the parameter to write an implicit equation involving y and x. 2. Given the implicitly defined formula of a circle, report its center and radius 3. Given the graph of a circle, report its center, radius, and formula in implicit and parametric form. Do (for practice): Flash Card 14.1 Parametric Equations  Eliminate the Parameter Flash Card 14.2 Circles: Given implicitly defined formula, report center and radius Flash Card 14.2 Circles: Given graph, report center, radius, and formula If you have a text, see Section 14.2  126, 28, 29 (See BB for a link to this chapter.) Due tonight, Friday, Nov. 15, 11:59 pm: EHW 16 Section 13.33.4 Due Wednesday, Nov. 20, 11:59 pm: EHW 17 Section 14.1 Due Monday, Nov. 25, 11:59 pm: EHW 18 Section 14.2 and 14.3 Due Monday, Nov. 25: Writing Assignment 8: Job Offer 

Class meeting  Topic  Assignment  
Mon., Nov. 18  Circles (14.2) and Ellipses (14.3) 
Today's objectives: 1. Given equations of two parametric equations x = f(t) and y = g(t), eliminate the parameter to write an implicit equation involving y and x. 2. Given the implicitly defined formula of a circle or an ellipse, report its formula in parametric form and other important properties. 3. Given the graph of a circle or ellipse, report its formula in implicit and parametric form and other important properties. Do (for practice): Flash Card 14.2 Circles: Given implicitly defined formula, report center and radius Flash Card 14.2 Circles: Given graph, report center, radius, and formula Flash Card 14.3 Ellipses: Given implicitly defined formula, report center, vertices, etc. Flash Card 14.3 Ellipses: Given graph, report center, vertices, and formula If you have a text, see Section 14.3  110, 11a, 18, 19 (See BB for a link to this chapter.) Due Wednesday, Nov. 20, 11:59 pm: EHW 17 Section 14.1 Due Monday, Nov. 25, 11:59 pm: EHW 18 Section 14.214.3
Due
Monday, Nov. 25: Writing Assignment 8: Job Offer 

Wed., Nov. 20  Ellipses (14.3) 
Today's objectives: 1. Given the graph of an ellipse, report its formula in implicit and parametric form and other important properties. 2. Given the implicitly defined formula of a hyperbola, report its formula in parametric form and other important properties. Do (for practice): Flash Card 14.3 Ellipses: Given graph, report center, vertices, and formula Flash Card 14.4 Hyperbolas: Given implicitly defined formula, report center, vertices, etc. If you have a text, see Section 14.4  14, 15, 16 (See BB for a link to this chapter.) Due tonight, Wednesday, Nov. 20, 11:59 pm: EHW 17 Section 14.1 Due Monday, Nov. 25, 11:59 pm: EHW 18 Section 14.214.3 Due Monday, Dec. 2, 11:59 pm: EHW 19 Section 14.4 Due Monday, Nov. 25: Writing Assignment 8: Job Offer 

Fri., Nov. 22  Hyperbolas (14.4) 
Today's objectives: 1. Given the graph of a hyperbola, report its formula in implicit and parametric form and other important properties. 2. Given the implicitly defined formula of a hyperbola, report its formula in parametric form and other important properties.
Do (for practice):


Class meeting  Topic  Assignment  
Monday, Nov. 25 
Complex Numbers (9.6) 
Today's objectives: 1. Use notation for an imaginary number and complex number. 2. Plot a complex number on the complex plane. Pythagoras would have liked this:
https://www.ancientcode.com/nasahasdiscoveredthatstarsmoonsandplanetsgiveoffmusicthisiswhatissoundslike/
Do (for practice):
Due
tonight, Monday, Nov. 25, 11:59 pm: EHW 18 Section 14.214.3
Test 3 is available outside of class beginning
Tuesday, Dec 3 up until Friday, Dec. 6 

Wednesday, Nov. 27 
No class meeting.  Enjoy Thanksgiving Break!  
Friday Nov. 29 
No class meeting. 
Enjoy Thanksgiving Break! What mathematicians say after a full Thanksgiving Dinner: 

Class meeting  Topic  Assignment  
Monday, Dec. 2 
Complex Number Arithmetic (9.6) 
Today's objectives: 1. Perform arithmetic with complex numbers. 2. Represent a complex number as a vector.
Do (for practice):


Wednesday, Dec. 4 
No class meeting.  Take Test 3 in Math Test Center. However, you are welcome to come to KT 123 if you have any questions.  
Friday Dec. 6 
Why are Complex Numbers Important? (9.6) 
Today's objectives:
EHW 20 Section 9.6 due 11:59 PM Friday, Dec. 13 

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