Presentations
MATH 1720
Students enrolled in this course are required to view the PowerPoint presentations (online or on CD) 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 ON CD, insert the disk in your CD drive, open an "Explorer" window, and 2-click on the desired Presentation. To hear the lecture, you must also 2-click on the corresponding mp3 audio file.
After viewing the Presentation,
close (or minimize) the extra window; the current browser window will still be
open. Then click on
in the Action Menu above to move on to the next step
in the Module.
| Click on Lesson # |
Audio Lecture (mp3 files) |
Text Section Number |
Text Section Title |
Topics |
| T |
Trial Presentation (Done during the Course Orientation) |
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| GD |
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|
College Algebra Reviews (Optional: for students needing algebra review) | ||||
| 1 | 1 | 6.1 | Angles | angle, coterminal angles, standard position, positive angle, negative angle, quadrantal angle, coterminal angles, degrees, complementary angles, supplementary angles, central angle, radians |
| 2 | 2 | 6.1 | Angles | calculators, angle conversions, formula for the length of a circular arc, formula for the area of a circular sector |
| 3 | 3 | 6.1 | Angles | angular speed, linear speed |
| 4 | 4 | 6.2 | Trigonometric Functions of Angles | trigonometric functions of right angles, sine, cosine, tangent, cosecant, secant, cotangent, reciprocal functions, special triangles, |
| 5 | 5 | 6.2 | Trigonometric Functions of Angles | finding trigonometric function values with a calculator |
| 6 | 6 | 6.2 | Trigonometric Functions of Angles | The Fundamental Identities, Reciprocal Identities, Tangent and Cotangent Identities, Pythagorean Identities, verifying identities |
| 7 | 7 | 6.2 | Trigonometric Functions of Angles | verifying identities |
| 8 | 8 | 6.2 | Trigonometric Functions of Angles | properties of logarithms, trigonometric functions of any angle, trigonometric functions signs, the CAST rule, |
| 9 | 9 | 6.2 | Trigonometric Functions of Angles | finding values of trigonometric functions from prescribed conditions, using fundamental identities |
| Review 1 | ||||
| 11 | 11 | 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 |
| 12 | 12 | 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 |
| 13 | 13 | 6.4 | Values of the Trigonometric Functions | reference angle, approximating function values with a calculator |
| 14 | 14 | 6.4 | Values of the Trigonometric Functions | finding acute angle solutions of equations with a calculator, approximating angle with a calculator |
| 15 | 15 | 6.4 | Values of the Trigonometric Functions | finding acute angle solutions of equations with a calculator, approximating angle with a calculator |
| 16 | 16 | 6.5 | Trigonometric Graphs | period of y = a sin bx or y = a cos bx, amplitude, period |
| 17 | 17 | 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 |
| 18 | 18 | 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 |
| 20 | 20 | 6.7 | Applied Problems | parts of a right triangle, solving a right triangle, significant digits, approximating sides, approximating angles |
| 21 | 21 | 6.7 | Applied Problems | angle of elevation, angle of depression, bearings, air navigation |
| 22 | 22 | 7.1 | Verifying Trigonometric Identities | trigonometric expression, The Fundamental Identities, verifying trigonometric identities |
| 23 | 23 | 7.1 | Verifying Trigonometric Identities | verifying trigonometric identities, showing that an equation is not an identity, trigonometric substitutions |
| 24 | 24 | 7.2 | Trigonometric Equations | solving trigonometric equations |
| 25 | 25 | 7.2 | Trigonometric Equations | solving trigonometric equations |
| 26 | 26 | 7.3 | The Addition and Subtraction Formulas | cofunctions, cofunction formulas, addition and subtraction formulas for sine, cosine, and tangent |
| 27 | 27 | 7.3 | The Addition and Subtraction Formulas | reduction formulas |
| Review 3 | ||||
| 29 | 29 | 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) |
| 30 | 30 | 7.4 | Multiple-Angle Formulas | using half-angle identities, using half-angle formulas |
| 31 | 31 | 7.6 | The Inverse Trigonometric Functions | one-to-one functions, arcsin, arccos, arctan |
| 32 | 32 | 7.6 | The Inverse Trigonometric Functions | arccot, arcsec, arccsc |
| 33 | 33 | 8.1 | The Law of Sines | The Law of Sines, ambiguous case |
| 34 | 34 | 8.2 | The Law of Cosines | The Law of Cosines, Area of a Triangle, Heron's Formula |
| Review 4 | ||||