Fall 2022 Classes:

138,260,430

Courses taught in the past:

Calculus 152,251,252, Linear algebra (460) Advanced Calc. 430/431.

Remember:

Be sure to get all your homework done as soon as possible after class as this will lead to better grades.

Links:

- RU
- ATCM, eJMT, RJMT
- E-mail Me

Whitt 208; Phone: (540) 831-5232

Precalculus II

 

 

Topics:
  1. Link to course syllabus.
  2. A short course on Trigonometry
  3. Useful tool for graphing. (Desmos).
  4. Wolfram Alpha.
  5. Line equations
    • Exercise 1: You are about to take a trip and you plan to rent a car, here are two rental offers: (i) Hertz will give you 30 cents per mile and $45 per day, and (ii) Avis will give you 25 cents per mile and $50 per day. Suppose you decide to rent a car for 4 days. Which company offers you a better deal? Explain. Answer.
    • Exercise 2: A manufacturer of electronic components finds that in making x units of a prduct weekly it has a cost of $2 per unit, plus a fixed cost of $1800. Each unit sells for $5.
      (a) Find the cost, revenue and profit functions.
      (b) Sketch these functions.
      (c) Find the break-even point.
      (d) Find the total weekly revenue at the break-even point.
    • Check your notes for C-F problems: Do you know Celsius would meet Fahrenheit at some point? Where?
  6. Finding Domain of a function and Shifting
  7. Drills of finding domain of a function.
  8. Shifting and Reflection Techniques:
  9. Circle .
  10. Unit Circle .
  11. Sine, Cosine and Tangent (reading)
  12. (VIP) Interactive Unit Circle.
  13. Exercises
  14. About the graphs of trig functions.
  15. Exercises; (answer is on the same page).
  16. Define the function f whose graph is similar to a "sine" function and satisfies the following conditions 
    • The period of f is 180 degree.
    • The function f has the amplitude of 3.
    • The function f has the highest value of 0 at x=135 degree.
  17. Practice problems
  18. Review for an old test..
  19. Trigonometric substitutions.
  20. Review for an old Final.

 

(Wei-Chi Yang).