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Precalculus Syllabus

Text: Advanced Mathematics, A Precalculus Approach by Ryan, Doubet, Fabricant and Rockhill. Prentice-Hall 1993.

Video Instructor: John J. Jaroma

 

1. Section 1.4 Relations and Functions. Homework.

2. Section 1.5 Algebra of Functions. Homework.

     Section 1.6 Inverse Functions.

3. Section 1.6 continued. Homework.

    Section 1.7 Absolute Value, Greatest Integer, and Piecewise Functions.

    Homework.

4. Section 2.1 Symmetry.

5. Section 2.2 Reflections and Transformations.

    Section 2.3 Linear Functions.

6. Section 2.3 continued. Homework.

    Section 2.4 Solving Quadratic Equations.

7. Section 2.4 continued. Homework.

    Section 2.5 Graphing Quadratic Equations.

8. Section 2.5 continued.

9. Section 2.6 Solving Polynomial Equations. Homework.

10. Section 2.7 Coordinate Proofs (distance and mid-point formulas). Homework.

      Section 3.1 Angles in the Coordinate Plane. Homework.

      Section 3.2 Angle Measures in Degrees and Radians. (definition of central

       angle).

11. Section 3.2 continued. Homework.

      Section 3.4 Circular Functions.

      Section 3.5 The Trigonometric Functions.

12. Section 3.4 continued. Homework.

13. Section 3.5 continued. Homework.

14. Section 3.6 Functions of Special and Quadrantal Angles.

15. Section 3.6 continued. Homework.

      Section 3.8 Fundamental Identities. Homework.

      Section 3.9 Proving Trigonometric Identities.

16. Section 3.9 continued. Homework.

      Section 4.1 Graphs of the Sine and Cosine Functions.

17. Section 4.1 continued. Homework.

18. Section 4.2 Period, Amplitude, and Phase Shift. Homework.

19. Section 4.2 continued.

      Section 4.3 Graphing Other Trigonometric Functions.

20. Section 4.3 continued. Homework.

      Section 4.5 The Inverse Sine and Cosine Functions. Homework.

21. Section 4.6 Other Inverse Trigonometric Functions. Homework.

      Section 5.1 Solving Right Triangles. Homework.

22. Section 5.2 The Law of Sines. Homework.

      Section 5.3 The Ambiguous Case.

23. Section 5.3 continued. Homework.

      Section 5.4 The Law of Cosines. Homework.

24. Section 5.5 The Area of a Triangle. Homework.

      Section 6.1 Sum and Difference Identities. Homework.

      Section 6.3 Double-angle and Half-angle Identities.

25. Section 6.3 continued. Homework.

      Section 6.5 Solving Trigonometric Equations and Inequalities. Homework.

26. Section 7.1 Synthetic Division and the Remainder and Factor Theorems.

27. Section 7.2 Graphs of Polynomial Functions. Homework.

      Section 7.3 Integral and Rational Zeros of Polynomial Functions. Homework.

28. Section 7.4 The Fundamental Theorem of Algebra. Homework.

      Section 7.6 Rational Functions.

29. Section 7.6 continued.

30. Section 7.6 continued. Homework.

31. Section 9.1 Rational Exponents. Homework.

      Section 9.2 Exponential Functions.

32. Section 9.2 continued. Homework.

      Section 9.3 Logarithmic Functions. Homework.

      Section 9.4 Properties of Logarithms. Homework.

      Section 9.5 Exponential Equations and Inequalities. Homework.

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