Presentations
 MATH 1720

Students enrolled in this course are required to view the online PowerPoint presentations before doing the homework.  Viewing the presentations diligently has proven to greatly increase learning of the course material!

These presentations are animated!  To advance a slide and/or its animations, click somewhere on the slide --- or press the spacebar on your keyboard.  Do not use the playback controls at the bottom of the slide, except when you want to return to a previous slide.  (Doing so will skip over the animations.)

Keywords:    Each lesson contains a keyword on a selected slide (chosen at random).  Students are required to submit this keyword; it is one of the questions in the Mod Check (do NOT send the keyword by email).  When you see a keyword, jot down the lesson number and the keyword to submit after you have finished viewing the presentation.

To view a Presentation, click on the Lesson number in the first column.  To hear the Audio Lecture that goes along with the slide Presentation, click on the corresponding number in the second column.

After viewing the Presentation, close (or minimize) the extra window; the current browser window will still be open.  Then click on Next Topic in the Action Menu above to move on to the next step in the Module.
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Lesson #		 Audio
Lecture
(mp3 files)		 Text
Section
Number		 Text
Section
Title		 Topics
0

  Geometry Definitions Review (Do in the first week)

T

  Trial Presentation (Done during the Course Orientation)

A

  College Algebra Reviews (Optional: for students needing algebra review)

11 6.1 Angles angle, coterminal angles, standard position, positive angle, negative angle, quadrantal angle, coterminal angles, degrees, complementary angles, supplementary angles, central angle, radians
22 6.1 Angles calculators, angle conversions, formula for the length of a circular arc, formula for the area of a circular sector
33 6.1 Angles angular speed, linear speed
44 6.2 Trigonometric Functions of Angles trigonometric functions of right angles, sine, cosine, tangent, cosecant, secant, cotangent, reciprocal functions, special triangles,
55 6.2 Trigonometric Functions of Angles finding trigonometric function values with a calculator
66 6.2 Trigonometric Functions of Angles The Fundamental Identities, Reciprocal Identities, Tangent and Cotangent Identities, Pythagorean Identities, verifying identities
77 6.2 Trigonometric Functions of Angles verifying identities
88 6.2 Trigonometric Functions of Angles properties of logarithms, trigonometric functions of any angle, trigonometric functions signs, the CAST rule,
99 6.2 Trigonometric Functions of Angles finding values of trigonometric functions from prescribed conditions, using fundamental identities
Review 1       
1111 6.3 Trigonometric Functions of Real Numbers the unit circle, P(cos t, sin t) finding special values of the trigonometric functions, finding the coordinates of a point on the unit circle
1212 6.3 Trigonometric Functions of Real Numbers P(cos t, sin t), periodic function, period of sine and cosine, Negative Angle Identities, even/odd functions, graphs of the sine, cosine, and tangent functions
1313 6.4 Values of the Trigonometric Functions reference angle, approximating function values with a calculator
1414 6.4 Values of the Trigonometric Functions finding acute angle solutions of equations with a calculator, approximating angle with a calculator
1515 6.4 Values of the Trigonometric Functions finding acute angle solutions of equations with a calculator, approximating angle with a calculator
1616 6.5 Trigonometric Graphs period of  y = a sin bx  or  y = a cos bx, amplitude, period
1717 6.5 Trigonometric Graphs phase shift, theorems on amplitudes, periods, and phase shifts of the graphs of 
y = a sin (bx + c), and y = a cos (bx + c),finding an equation for a sine wave
1818 6.6 Additional Trigonometric Graphs vertical asymptotes, theorems on the graphs of 
y = a tan (bx + c), y = a cot (bx + c),  y = a csc (bx + c), and  y = a sec (bx + c), the graph of a trigonometric function involving absolute value
Review 2        
2020 6.7 Applied Problems parts of a right triangle, solving a right triangle, significant digits, approximating sides, approximating angles
2121 6.7 Applied Problems angle of elevation, angle of depression, bearings, air navigation
2222 7.1 Verifying Trigonometric Identities trigonometric expression, The Fundamental Identities, verifying trigonometric identities
2323 7.1 Verifying Trigonometric Identities verifying trigonometric identities, showing that an equation is not an identity, trigonometric substitutions
2424 7.2 Trigonometric Equations solving trigonometric equations
2525 7.2 Trigonometric Equations solving trigonometric equations
2626 7.3 The Addition and Subtraction Formulas cofunctions, cofunction formulas, addition and subtraction formulas for sine, cosine, and tangent
2727 7.3 The Addition and Subtraction Formulas reduction formulas
Review 3        
2929 7.4 Multiple-Angle Formulas double angle formulas for sine, cosine, and tangent, half-angle identities, half angle formulas, half-angle formulas for tangent (alternate forms)
3030 7.4 Multiple-Angle Formulas using half-angle identities, using half-angle formulas
3131 7.6 The Inverse Trigonometric Functions one-to-one functions, arcsin, arccos, arctan
3232 7.6 The Inverse Trigonometric Functions arccot, arcsec, arccsc
3333 8.1 The Law of Sines The Law of Sines, ambiguous case
3434 8.2 The Law of Cosines The Law of Cosines, Area of a Triangle, Heron's Formula
Review 4