MTH 164 Syllabus


Division:        Arts and Sciences                                                                                                                           Date:  February 2014


Curricula in Which Course is Taught:


Course Number and Title:           MTH 164, Precalculus II


Credit Hours:   3                  Hours/Wk Lecture:             Hours/Wk Lab:                    Lec/Lab Comb:   



I.              Catalog Description:         Presents trigonometry, analytic geometry, and sequences and series. Prerequisite: MTH 163 or equivalent. (Credit will not be awarded for both MTH 164 and MTH 168.) Lecture 3 hours per week.


II.            Relationship of the course to curricula objectives in which it is taught: 

This course continues the study of precalculus mathematics begun in MTH 163 which is its prerequisite.  This course is a college level transfer course which meets math elective requirements as well as liberal arts elective requirements.


III.           Required background: 

MTH 163 or equivalent


IV.          Course Content:

1.    Radian, degree

2.    Unit Circle

3.    Right Triangle and Angle Functions

4.    Trig Graphic including Sine and cosine

5.    Inverse Trig Functions

6.    Applications

7.    Fundamental Identities

8.    Trig Identities and Equations

9.    Sum/Diff Formulas

10. Laws of sines and cosines

11. Vectors in a plane

12. Vectors and dot products

13. DeMoivre’s Theorem

14. Sequence; summation

15. Arithmetic sequence

16. Geometric sequence

17. Mathematical induction

18. Binomial Theorem

19. Counting Principles

20. Probability

21. Lines, Conics, Ellipses, Hyperbolas, Rotations of conics

22. Parametric Equations

23. Polar Coordinates

24. Graphs of Polar Equations

25. Polar Equations of Conics


V.  Learner Outcomes


The student will:

VI.  Evaluation


Some combination of quizzes, tests, homework and examinations will be used to assess student performance.   Students will use calculators only after demonstrating mastery of essential deductive skills without them.


         VII.    This course supports the following objectives:


DCC Educational Objectives:

Critical Thinking

Quantitative Reasoning