Math 2412 Precalculus

Spring 2012 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 book issued by the high school will suffice
METAPHOR: How Far Is Heaven?

EVALUATION
POINTS
QUIZZES & APPLICATION EXERCISES
100
MIDTERM
200
FINAL EXAM
200

POINTS
LETTER GRADE
NUMERICAL GRADE
450 or more  A  90-100 
400-449  B  80-89 
350-399  C  71-79 
300-349  D  70 
less than 300  F  50-69 

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.

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 13 is the last day to drop the class.

MAKEUP POLICY:
The midterm exam may be made up if missed for good reason. 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. Students who will miss for school events should prepare for these absences by working ahead. 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.

CELL PHONES:
Cell phones should not be used during class. Cell phone usage during the midterm or final exam is cause for a grade of zero.

COMPANION TEXT

Measuring Heaven 

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

DATES
MONDAY LECTURE
WEDNESDAY LECTURE
Jan 16/18  HOLIDAY  Angle Measurement 
Jan 23/25  Trig Functions Defined  Winding Function 
Jan 30-Feb 1  Right Triangle Trig  Trig Graphs 
Feb 6-8  Dilations & Reflections  Translations 
Feb 13-15  Inverse Functions  Basic Identities 
Feb 20-22  Sum & Difference Identities  Double-Angle & Half-Angle Identities 
Feb 27-29  More Identities  Conditional Identities 
Mar 5-7  MIDTERM EXAM, PART 1  MIDTERM EXAM, PART 2 
Mar 12-14  SPRING BREAK  SPRING BREAK 
Mar 19-21  Law of Sines  Law of Cosines 
Mar 26-28  Conics: Parabolas  Conics: Ellipses 
Apr 2-4  Conics: Hyperbolas  Vectors 
Apr 9-11  Complex Numbers  Roots 
Apr 16-18  Polar Coordinates  Parametric Equations 
Apr 23-25  Sequences  Series 
Apr 30-May 2  Binomial Theorem  REVIEW 
May 7-10  FINAL EXAM
(Day & Time to be Announced)
 
Study Cards for Final Exam 

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

DATES
TUESDAY LECTURE
THURSDAY LECTURE
Jan 17/19  Angle Measurement  Trig Functions Defined 
Jan 24/26  Winding Function  Right Triangle Trigonometry 
Jan 31/Feb 2  Trig Graphs  Dilations & Reflections 
Feb 7/9  Translations  Inverse Functions 
Feb 14/16  Basic Identities  Sum & Difference Identities 
Feb 21/23  Double-Angle Identities  Conditional Identities 
Feb 28/Mar 1  More Identities  Review Problems 
Mar 6/8  MIDTERM EXAM, PART 1  MIDTERM EXAM, PART 2 
Mar 13/15  SPRING BREAK  SPRING BREAK 
Mar 20/22  Law of Sines  Law of Cosines 
Mar 27/29  Conics: Parabolas  Conics: Ellipses 
Apr 3/5  Conics: Hyperbolas  Vectors 
Apr 10/12  Complex Numbers  Roots 
17/19  Polar Coordinates  Parametric Equations 
Apr 24/26  Sequences  Series 
May 1/3  Binomial Theorem  REVIEW 
May 7-10  Finals Week
(Exam Day&Time to be Announced)
 
Study Cards for Final Exam 

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
  34. Use mathematics to solve real-world problems

 

 


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