Video links-ALG grant
Section R.6 Factoring – Bosu
- Factoring 1
https://mediaspace.gsu.edu/media/Section+R.6+-+Factoring++-+Video+1/1_y4rjaagu
- Factoring 2
https://mediaspace.gsu.edu/media/Section+R.6+-+Factoring+-+Video+2/1_a7hqoejh
Section R.7 Rational Expressions – Bosu
- Rational Expressions
https://mediaspace.gsu.edu/media/Section+R.7+-+Rational+Expressions+/1_m0q00wkb
- Rationalizations
https://mediaspace.gsu.edu/media/Section+R.7+-+Rationalization+/1_6akyc25f
Section 2.3: Functions.--------Rishi
- Relation and Function
https://mediaspace.gsu.edu/media/2.3+Relation+and+Function/1_7k028fzv
- Domain and Range
https://mediaspace.gsu.edu/media/Domain+and+Range/1_l2v093zw
- Example: Find Domain and Range from Graph.
https://mediaspace.gsu.edu/media/Example%3A+Find+Domain+and+Range+from+Graph/1_329aeoe3
- Identify Domain and Range for a given function.
https://mediaspace.gsu.edu/media/Identify+Domain+and+Range+from+given+function/1_os7oxi8l
- Vertical Line Test.
https://mediaspace.gsu.edu/media/Vertical+Line+Test/1_wvxzf1y8
- Function Notation and some examples.
https://mediaspace.gsu.edu/media/Function+Notation+and+some+examples/1_tqmq1luk
- Increasing, Decreasing and Constant functions and examples.
Section 2.6: Graphs of Basic Functions.----Rishi
- Continuity of a Function and Examples.
https://mediaspace.gsu.edu/media/Continuity+of+a+Function+and+Examples/1_87tnbz0d
- Identity and Squaring Functions and Examples.
https://mediaspace.gsu.edu/media/Identity+and+Squaring+Functions+and+Examples/1_n6t0cxlw
- Cubing, Square Root, Cube Root and Absolute Value Functions and Examples.
https://mediaspace.gsu.edu/media/Example+1-Graphing+Piecewise-defined+function/1_7fv9b8bn
- Example 2-Graphing Piecewise-defined function.
https://mediaspace.gsu.edu/media/Example+2-Graphing+Piecewise-defined+function./1_mu699rx0
- The Greatest Integer Function and Examples.
https://mediaspace.gsu.edu/media/The+Greatest+Integer+Function+and+Examples/1_2dvvevz4
- Graphing the Greatest Integer Function-Example.
https://mediaspace.gsu.edu/media/Graphing+a+Greatest+Integer+Function-Example/1_jkzq3mcj
- Application of a Greatest Integer Function-Example.
https://mediaspace.gsu.edu/media/Application+of+a+Greatest+Integer+Function-Example/1_suv6563b
Section 2.7: Graphing Techniques.-----Rishi
https://mediaspace.gsu.edu/media/Vertical+Stretching+for+a+Graph+and+Example/1_7ipz1o6o
- Vertical Shrinking for a Graph and Example.
https://mediaspace.gsu.edu/media/Vertical+Shrinking+for+a+Graph./1_661disbd
- Horizontal Stretching and Shrinking of a Graph and examples.
- Reflection of a Graph and Example.
https://mediaspace.gsu.edu/media/Reflection+of+a+Graph+and+Example./1_ur24zcvw
- Symmetry with Respect to X-axis, Y-axis and Origin and Examples.
- Important Concepts of Symmetry.
https://mediaspace.gsu.edu/media/Important+Concepts+of+Symmetry./1_fa6w91rw
- Even and Odd Functions and Examples.
https://mediaspace.gsu.edu/media/Even+and+Odd+Functions+and+Examples./1_wd2rzqg3
- Vertical Translations and Examples.
https://mediaspace.gsu.edu/media/Vertical+Translations+and+Examples/1_gdff77dz
- Horizontal Translations and Examples.
https://mediaspace.gsu.edu/media/Horizontal+Translations+and+Examples/1_5c76n8eu
- Graphing: Using more than one Transformations-Example1.
- Graphing: Using more than one Transformations-Example 2.
- Summary of Graphing Techniques.
https://mediaspace.gsu.edu/media/Summary+of+Graphing+Techniques./1_tfl1m9wc
2.8 Function Operations and Composition. ---Rishi
- Operations on Functions and Examples.
https://mediaspace.gsu.edu/media/Operations+on+Functions+and+Examples./1_873keqro
- Domain of Composite Functions and Examples.
https://mediaspace.gsu.edu/media/Domain+of+Composite+Functions+and+Examples./1_m0nvrz6g
- Example: Evaluating combination of Functions from Graph.
- Difference Quotient and Example.
https://mediaspace.gsu.edu/media/Difference+Quotient+and+Example./1_4wzj1jiy
- Composition of Functions and Example.
https://mediaspace.gsu.edu/media/Composition+of+Functions+and+Example./1_xk6q0uzs
- Example: Composite Functions: (fog)(x) and (gof)(x) are not equal.
- Example 1: Find the Domain of Composite Functions.
https://mediaspace.gsu.edu/media/Example+1%3A+Find+the+Domain+of+Composite+Functions/1_a59p6ebo
- Example 2: Find the Domain of Composite Functions.
https://mediaspace.gsu.edu/media/Example+2%3A+Find+the+Domain+of+Composite+Functions./1_4f899ywq
Section 4.1: Inverse Functions ----- Bosu
- Inverse Functions – One-to-One Functions
https://mediaspace.gsu.edu/media/Section+4.1+-++Inverse+Functions+1/1_dzlwhvqk
- Inverse Functions – Inverse Functions
https://mediaspace.gsu.edu/media/Section+4.1+-+Inverse+Functions+2/1_b4dmcgc2
- Inverse Functions – Equations of Inverses
https://mediaspace.gsu.edu/media/Section+4.1+-+Inverse+Functions+3/1_1o2jbgp4
- Example 1
https://mediaspace.gsu.edu/media/Section+4.1+-+Inverse+Functions+-+Example+1/1_vblrguza
- Example 2
https://mediaspace.gsu.edu/media/Section+4.1+-+Inverse+Functions+-+Example+2/1_dxyi703h
- Example 3
https://mediaspace.gsu.edu/media/Section+4.1+-+Inverse+Functions+-+Example+3/1_2d78sksg
- Example 4
https://mediaspace.gsu.edu/media/Section+4.1+-+Inverse+Functions+-+Example+4/1_jdcqfnq0
Section 4.2 Exponential Functions -- Bosu
- Exponents and Exponential Functions
https://mediaspace.gsu.edu/media/Section+4.2+-+Exponents+and+Exponential+Functions/1_s5p8skhk
- Graphs of Exponential Functions
https://mediaspace.gsu.edu/media/Section+4.2+-+Graphs+of+Exponential+Functions/1_e31rhqej
- Properties of Exponents
https://mediaspace.gsu.edu/media/Section+4.2+-+Properties+of+Exponents/1_oomliess
- Example 1
https://mediaspace.gsu.edu/media/Section+4.2+Exponential+Functions+-+Example+1/1_xfb7hxpl
- Example 2
https://mediaspace.gsu.edu/media/Section+4.2+Exponential+Functions+-+Example+2/1_64nwcqzb
- Example 3
https://mediaspace.gsu.edu/media/Section+4.2+-+Exponential+Functions+-+Example+3/1_pku7im1d
- Example 4
https://mediaspace.gsu.edu/media/Section+4.2+-+Exponential+Functions+-+Example+4/1_tatbeayy
- Example 5
https://mediaspace.gsu.edu/media/Section+4.2+-+Exponential+Functions+-+Example+5/1_u6vzvmf7
Section 4.3 Logarithmic Functions -- Bosu
- Logarithms and Logarithmic Functions
https://mediaspace.gsu.edu/media/Section+4.3+-+Logarithms+and+Logarithmic+Functions/1_hw1aocnv
- Graphs of Logarithmic Functions
https://mediaspace.gsu.edu/media/Section+4.3+Graphs+of+Logarithmic+Functions/1_4iuxbtsa
- Properties of Logarithns
https://mediaspace.gsu.edu/media/Section+4.3+-+Properties+of+Logarithms/1_6ysyr2j9
- Example 1
https://mediaspace.gsu.edu/media/Section+4.3+-+Logarithmic+Functions+-+Example+1/1_6qb7yi61
- Example 2
https://mediaspace.gsu.edu/media/Section+4.3+-+Logarithmic+Functions+-+Example+2/1_hwa5vmyr
- Example 3
https://mediaspace.gsu.edu/media/Section+4.3+-+Logarithmic+Functions+-+Example+3/1_ret7mky8
- Example 4
https://mediaspace.gsu.edu/media/Section+4.3+-+Logarithmic+Functions+-+Example+4/1_uqdd9r3t
Section 5.1: Angles ----- Sutandra
- Sec 5.1 Angles - Intro
- Examples of Addition & Subtraction of DMS & Conversions of DMS to Decimal Degrees
- Examples of Coterminal Angles
Section 5.2 Trigonometric Functions -- Bosu
- Trigonometric Functions
https://mediaspace.gsu.edu/media/Section+5.2++-+Trigonometric+Functions/1_ave6nu36
- Trigonometric Identities
https://mediaspace.gsu.edu/media/Section+5.2+-+Basic+Trigonometric+Identities/1_iox4hxf6
- Example 1
https://mediaspace.gsu.edu/media/Section+5.2+-+Trigonometric+Functions+-+Example+1/1_fg8rcj27
- Example 2
https://mediaspace.gsu.edu/media/Section+5.2+Trigonometric+Functions+-+Example+2/1_ax6spxed
Section 5.3: Trig Functions of Acute Angles ----- Sutandra
Section 5.4: Solve Right Triangles ----- Sutandra
- Sec 5.4 - Solve Right Triangles & Example - 1
- Sec 5.4 - Example 2 of Solving a Right Triangle (Continued)
- Sec 5.4 - Examples of Bearing
6.1 Radian Measure ----Rishi
- Radian and Converting between Degrees and Radians.
https://mediaspace.gsu.edu/media/Radians+and+Converting+between+Degrees+and+Radians/1_x44l67nd
- Arc Length and Examples
https://mediaspace.gsu.edu/media/Arc+Length+and+Examples/1_nelot4dc
- Arc Length related examples
https://mediaspace.gsu.edu/media/Arc+Length+related+examples/1_vx343pp7
- Area of a Sector and Example-https://mediaspace.gsu.edu/media/Area+of+a+Sector+of+a+Circle+and+Example/1_v5d8pyxj
6.2 The Unit Circle and Circular Functions ---Rishi
- Circular Functions
https://mediaspace.gsu.edu/media/Circular+Functions/1_aypabb00
- Unit Circle
https://mediaspace.gsu.edu/media/Unit+Circle/1_d15neois
- Unit Circle related concepts and examples
https://mediaspace.gsu.edu/media/Unit+Circle+related+concepts+and+examples/1_miw3fboz
- Domain of Circular Functions
https://mediaspace.gsu.edu/media/Domain+of+Circular+Functions/1_wc76o2xa
- Evaluating a Circular Functions and examples
https://mediaspace.gsu.edu/media/Evaluating+a+Circular+Functions+and+examples/1_r7lca1bj
- Examples-Finding Exact Circulator Function Value
https://mediaspace.gsu.edu/media/Examples-Finding+Exact+Circulator+Function+Value/1_5mvf5m9l
- Example-Approximating Circular Function Value and Finding number given Circular Function values.
- Linear and Angular Speed https://mediaspace.gsu.edu/media/Linear+and+Angular+Speed/1_bsz9hgyc
- Examples- Linear and Angular Speed
https://mediaspace.gsu.edu/media/Examples-+Linear+and+Angular+Speed/1_vy1dngid
6.3 Graphs of the Sine and Cosine Functions ----Rishi
- Periodic Function
https://mediaspace.gsu.edu/media/Periodic+Function/1_kurvgtdz
- Sine and Cosine Functions https://mediaspace.gsu.edu/media/Sine+and+Cosine+Functions/1_wvj8xjlu
- Amplitude and Period of Sine and Cosine functions
https://mediaspace.gsu.edu/media/Amplitude+and+Period+of+Sine+and+Cosine+functions/1_cs35v7pe
- Guidelines of Sketching Graph and Graph of Sine function: y= a sin bx
- Example - Graphing a Cosine function of type: y = a cos bx https://mediaspace.gsu.edu/media/Example+-+Graphing+a+Cosine+function+of+type%3A+y+%3D+a+cos+bx/1_hakwbv1v
- Determining an equation for a given graph
https://mediaspace.gsu.edu/media/Example+-+Determining+an+equation+for+a+given+graph/1_60rc0157
- Interpreting a Sine Function Model
https://mediaspace.gsu.edu/media/Example-+Interpreting+a+Sine+Function+Model/1_p1rxe2om
6.4 Translations of the Graphs of the Sine and Cosine Functions---Rishi
- Horizontal Translations
https://mediaspace.gsu.edu/media/Horizontal+Translations/1_eqtm4o8s
- Guidelines for Sketching Graphs of Sine and Cosine Functions
- Example-Graphing a function of type y = sin (x-d)
https://mediaspace.gsu.edu/media/Example-Graphing+a+function+of+type+y+%3D+sin+%28x-d%29/1_jnmc829v
- Example-Graphing a function of type y = a cos (x-d)
- Example-Graphing a function of type y = a cos [b(x-d)]
- Vertical Translations and example
https://mediaspace.gsu.edu/media/Vertical+Translations+and+example/1_96dycknz
- Example-Graphing a function of type y = c + a sin [b(x-d)]
- Example-Modeling Temperature with a Sine Function
https://mediaspace.gsu.edu/media/Example-Modeling+Temperature+with+a+Sine+Function/1_8wfbnii7
6.5 Graphs of the Tangent and Cotangent Functions---Rishi
1. Vertical Asymptote and Tangent Function f(x) = tan x https://mediaspace.gsu.edu/media/Vertical+Asymptote+and+Tangent+Function+f%28x%29+%3D+tan+x/1_eybpabdh
2. Cotangent Function f(x) = cot x
https://mediaspace.gsu.edu/media/Cotangent+Function+f%28x%29+%3D+cot+x/1_uzozo1us
3. Guidelines for Sketching Graphs of Tangent and Cotangent
Functions and graph of y = tan2x
4. Example-Graphing a function y = -3 tan
https://mediaspace.gsu.edu/media/Graphing+a+function+of+type+y+%3D+-3+tan+%28x+2%29/1_32sb96y5
5. Example-Graphing a function y = 2 + tan x
https://mediaspace.gsu.edu/media/Graphing+a+tangent+function++y+%3D+2+%2B+tan+x/1_0fntw9nx
6. Example-Graphing a function y = cot 2x
https://mediaspace.gsu.edu/media/Graphing+a+function+of+type+y+%3D+1+2++cot+2x/1_b4wddxvo
7. Example-Graphing a function y = -2-cot (x – )
8. Example 1-Determining an Equation for a given Graph
https://mediaspace.gsu.edu/media/Example-Determining+an+Equation+for+a+given+Graph/1_cdv67mlm
- Example 2-Determining an Equation for a given Graph
https://mediaspace.gsu.edu/media/Example-Determining+an+Equation+for+a+given+Graph/1_94n4zaze
6.6 Graphs of the Secant and Cosecant Functions-Rishi
- Secant Function f(x) = sec x
https://mediaspace.gsu.edu/media/Secant+Function+f%28x%29+%3D+sec+x/1_vkc8wes5
- Cosecant Function f(x) = csc x
https://mediaspace.gsu.edu/media/Cosecant+Function+f%28x%29+%3D+csc+x/1_uusveplb
- Graphing idea for Secant and Cosecant Functions
https://mediaspace.gsu.edu/media/Graphing+idea+for+Secant+and+Cosecant+Functions/1_1s4xg6me
- Guidelines for Sketching Graphs of Cosecant and Secant Functions and example- Graph y= 2 sec x
- Example-Graphing a function y = csc (x – )
- Example 1-Determining an Equation for a given Graph
https://mediaspace.gsu.edu/media/Example-Determining+an+Equation+for+a+given+Graph/1_03n12w0m
- Example 2-Determining an Equation for a given Graph
https://mediaspace.gsu.edu/media/Example+2-Determining+an+Equation+for+a+given+Graph/1_q9gjjd3l
- Addition of Ordinates-Example graph of y = cosx + sinx
7.1 Fundamental Identities – Sutandra
1. Trigonometric Identities – Reciprocal, Quotient, Pythagorean, Even-Odd Identities
2.Given a trig function value in a specific quadrant, find other trig functions - Example 1
3. Write Cosx in terms of tanx & Simplification of trig expressions - Examples 2 & 3
7.2 Verifying Trigonometric Identities - Sutandra
1. Sec 7.2 - Verification of Trigonometric Identities - Strategies
2. 7.2 Examples - Verification of Trig Identities - Working with one side - Examples 1 & 2
3. 7.2 Strategies to verify trig expressions - Tips for Strategies 1
4. 7.2 Strategies to Verify trig expressions – 2
7.3 Sum & Difference Identities – Sutandra
1. Sum & Difference Identities of Cosine & Examples
2. 7.3 - Cofunction Identities & Examples
3. 7.3 Sum & Difference of Sine & Tangent functions & Examples
4. 7.3 Calculate Sum or Difference of trig identities based on A & B angles & the Quadrant of A+B
7.4 Double Angle & Half Angle Identities – Sutandra
2. 7.4 - Example 1- Find Double Angle IDs from 1 trig function in a quadrant
3. 7.4 - Ex 2 - Double Angle in a specific quadrant _ Find 6 trig Functions
4. 7.4 - Example 3 _Simplify Trig Expressions using Double Angle Identities
5. 7.4 - Example 4 - Sin (3x) using sum identity
6. Just an FYI – not relevant to Assignments or Assessments 7.4 - Intro to Product-to-Sum & Sum-to-Product Identities - FYI
7. 7.4 - Half-Angle Identities
8. 7.4 - Example 8 - Find the Exact Value of Cos 15 deg using Half Angle Identity
9. 7.4 - Example 9 - tan22.5 deg by using half angle identity
10. 7.4 - Example 10 - Find half-angle identities from cos(s) which is defined in a specific quadrant
11.7.4 - Example 11 & 12 - Simplify expressions of half-angle identities & verify an Identity
7.5 Inverse Trigonometric Functions – Bosu
- Inverse Trigonometric Function – arcsin, arccos, arctan
https://mediaspace.gsu.edu/media/Section+7.5+-+Inverse+Trigonometric+Functions+1/1_x5l3nost
- Inverse Trigonometric Function – arctan, arcsec, arccsc
https://mediaspace.gsu.edu/media/Section+7.5+-+Inverse+Trigonometric+Functions+2/1_iybgp26m
- Inverse Trig Functions: Example 1
- Inverse Trig Functions: Example 2
- Inverse Trig Functions: Example 3
- Inverse Trig Functions: Example 4
7.6 Solving Trigonometric Equations – Bosu
- Trigonometric Equation with Example 1
https://mediaspace.gsu.edu/media/Section+7.6+Trigonometric+Equations+-+Example+1/1_k46qacc1
- Trigonometric Equation with Example 2
https://mediaspace.gsu.edu/media/Section+7.6+Trigonometric+Equations+-+Example+2/1_hy49m3oj
- Trigonometric Equation with Example 3
https://mediaspace.gsu.edu/media/Section+7.6+Trigonometric+Equations+-+Example+3/1_iyl3nlfb
- Trigonometric Equation with Example 4
https://mediaspace.gsu.edu/media/Section+7.6+Trigonometric+Equations+-+Example+4/1_mxowu62i
- Trigonometric Equation with Example 5
https://mediaspace.gsu.edu/media/Section+7.6+Trigonometric+Equations+-+Example+5/1_51h558xv
- Trigonometric Equation with Example 6
https://mediaspace.gsu.edu/media/Section+7.6+Trigonometric+Equations+-+Example+6/1_q26komgs
8.1/ 8.2 The Laws of Sines and Cosines – Bosu
- Properties of Triangles
https://mediaspace.gsu.edu/media/Section+8.1+and+8.2+-+The+Laws+of+Sines+and+Cosines+1/1_4pzfm5pb
- The Laws of Sines and Cosines & Area of Triangles
https://mediaspace.gsu.edu/media/Sections+8.1+and+8.2+-+The+Laws+of+Sines+and+Cosines+2/1_bvxnbvw4
- SSA (Ambiguous Case)
https://mediaspace.gsu.edu/media/Sections+8.1+and+8.2+-+The+Laws+of+Sines+and+Cosines+3/1_bofbmlw6
- The Laws of Sines and Cosines – Example 1 (SAA)
- The Laws of Sines and Cosines – Example 2 (ASA)
- The Laws of Sines and Cosines – Example 3 (SAA)
- The Laws of Sines and Cosines – Example 4 (SAA)
- The Laws of Sines and Cosines – Example 5 (SAA)
- The Laws of Sines and Cosines – Example 6 (SAS)
- The Laws of Sines and Cosines – Example 7 (SSS)
- The Laws of Sines and Cosines – Example 8 (Area of Triangles for SAS)
- The Laws of Sines and Cosines – Example 9 (Area of Triangles for SSS)
8.4 - Algebraic Interpretation of Vectors
1. Conceptual Understanding of Algebraic Interpretation of Vectors
2. Examples 1 & 2 – Magnitude & Direction Angle
3. Example 3 – Horizontal & Vertical Components of a Vector
4. Example 4 – Vector Operations
5. Unit Vectors
6. Dot Product & Examples 5 & 6
8.7 - Polar Coordinates & Equations
1. Introducing Polar Coordinates
2. Example 2 – Plotting polar coordinates
4. Example 3 - Converting Rectangular Equations into Polar Equations