Precalculus
Math 2412
Sections 1001, 1002, 1003

SPRING 2010 Syllabus

INSTRUCTOR:
Randell Simpson
PHONE: 298-8976, 1-800-460-4636-8976
FAX: 298-8977
EMAIL: randell@templejc.edu
WEB ADDRESS: www.templejc.edu/dept/Math/RSimpson/Simpson.htm
TEXTBOOK: any precalculus textbook, especially any edition of Precalculus by Mark Dugopolski
EVALUATION: 450 pts = A; 400 pts = B; 350 pts = C; 300 pts = D; <300 pts = F
METAPHOR: How Far Is Heaven?

GRADING COMPONENT
POINTS
QUIZZES & APPLICATION EXERCISES
100
MIDTERM
200
FINAL EXAM
200

APPLICATION EXERCISES:
Following every lecture students will have suggested homework problems to work plus an "Application Exercise." The application exercises must be submitted to the instructor at the beginning of the following class day. Each application exericse is worth 1 pt. Application exercises will not be accepted late.

QUIZZES:
Each day following a lecture the instructor will administer a 4-point quiz comprised of problems representative of the suggested homework problems. Quizzes cannot be taken late nor can they be made up. Besides preparing for the quizzes, students should also work the suggested homework assigned in class.

ATTENDANCE:
Attendance is a necessary component of the course. The instructor may withdraw a student for non-attendance, but it is the student's responsibility to drop the class if he or she wishes to withdraw. April 9 is the last day to drop the class (& the college may close early that day).

MAKEUP POLICY:
The midterm exam may be made up. If a student misses the midterm, they should contact the instructor as soon as possible. A different version of the midterm exam will be made available by appointment. Quizzes cannot be made up. Application exercises cannot be made up. The final exam cannot be made up.

ACADEMIC INTEGRITY & DISRUPTIVE BEHAVIOR:
Disruptive behavior, cheating, plagiarism, and academic dishonesty can all lead to severe disciplinary sanctions. Students should refer to the Temple College Student Handbook regarding policies dealing with academic integrity and disruptive behavior.

COMPANION TEXT to DUGOPOLSKI's PRECALCULUS

Measuring Heaven 

M/W LECTURE SCHEDULE (subject to change during the semester):

DATES
MONDAY LECTURE
WEDNESDAY LECTURE
Jan 11/13  Introducing Trig Functions  Angle Measurement 
Jan 18/20  HOLIDAY  Trig Functions Defined 
Jan 25/27  Winding Function  Right Triangle Trig 
Feb 1/3  Trig Graphs  Dilations 
Feb 8/10  Translations  Inverse Functions 
Feb 15/17  Basic Identities  Sum & Difference Identities 
Feb 22/24  Double-Angle Identities  Product to Sum Identities 
Mar 1/3  Conditional Identities  An Extra Day of Identities 
Mar 8/10  REVIEW  MIDTERM EXAM 
Mar 15-18  SPRING BREAK  SPRING BREAK 
Mar 22/24  Law of Sines  Law of Cosines 
Mar 29/31  Vectors  Complex Numbers 
Apr 5/7  Roots  Polar Coordinate System 
Apr 12/14  Parametric Equations  Conics 
Apr 19/21  Hyperbolas  Sequences 
Apr 26/28  Series  Binomial Theorem 
May 3-6  PRACTICE  FINAL EXAM
(Date & Time to be Announced)
 

T/Th LECTURE SCHEDULE (subject to change during the semester):

DATES
TUESDAY LECTURE
THURSDAY LECTURE
Jan 12/14  Introduction & Angle Measurement  Trig Functions Defined 
Jan 19/21  Another Day with Trig Function Definitions  Winding Function 
Jan 26/28  Right Triangle Trigonometry  Trig Graphs 
Feb 2/4  Dilations  Translations 
Feb 9/11  Inverse Functions  Basic Identities 
Feb 16/18  Sum & Difference Identities  Double-Angle Identities 
Feb 23/25  Product to Sum Identities  Conditional Identities 
Mar 2/4  An Extra Day with Identities  REVIEW 
Mar 9/11  MIDTERM EXAM  Law of Sines 
Mar 15-18  SPRING BREAK  SPRING BREAK 
Mar 23/25  Law of Cosines  Vectors 
Mar 30/Apr 1  Complex Numbers  Roots 
Apr 6/8  Polar Coordinate System  Parametric Equations 
Apr 13/15  Conics  Hyperbolas 
Apr 20/22  Sequences  HOLIDAY 
Apr 27/29  Series  Binomial Theorem 
May 3-6  PRACTICE  FINAL EXAM
TO BE ANNOUNCED
 

Course Content:

Students will be required to do the following:

  1. Explore angles and their measure
  2. Define trigonometric functions
  3. Prove alternate triognometric function definitions
  4. Evaluate trigonometric functions using right triangle trigonometry
  5. Graph circular functions
  6. Reflect graphs of trigonometric functions and dilate their amplitudes
  7. Translate and phase shift graphs of trigonometric functions
  8. Invert trigonometric functions
  9. Prove basic trigonometric identities
  10. Use basic trigonometric identities to verify further identities
  11. Verify and use sum and difference identities
  12. Verify and use double angle identities
  13. Verify and use product and sum identities
  14. Solve trigonometric equations
  15. Solve application problems by creating right triangles
  16. Solve problems using the Law of Sines and Law of Cosines
  17. Perform vector operations and compute dot products of vectors
  18. Solve vector problems
  19. Apply vectors to applications involving force and work
  20. Convert complex numbers to trigonometric form
  21. Perform operations with complex numbers in standard and trigonometric form
  22. Find the n nth roots of a number
  23. Graph polar equations in the polar coordinate system
  24. Convert equations from polar to rectangular representation and vice versa
  25. Graph relations described by parametric equations
  26. Eliminate parameters
  27. Graph and transform conic sections
  28. Define sequences and find the general term of sequences
  29. Define series and express a series using summation notation
  30. Compute the sum of a finite series and of an infinite geometric series
  31. Calculate combinations
  32. Use the binomial theorem to expand binomials
  33. Develop problem solving strategies

 

 


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