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# Precalculus Course Syllabus

## Course overview

Catalog Description:
Precalculus: Topics include elementary theory of functions and equations, analytic geometry, vectors, introductory logic, mathematical induction, sequences and finite series. 4 credits. (4 lecture).

Course Intent: This course is intended primarily to prepare students for calculus course. It can also be used for general mathematics credit.
Audience: This course is for students who need a background for taking a beginning calculus course.
Course Learning Outcomes:
• Solve equations and inequalities.
• Develop and use various problem-solving techniques.
• Study functions as ordered pairs .
• Given an algebraic equation determine its geometric graph.
• Review synthetic division .
• Develop partial fraction decomposition .
• Find the zeros of real functions .
• Solve polynomial equations.
Summarize the six basic trigonometric (identifies).
• Introduction to vector (2 and 3 dimensional).
• Introduce DeMoivre’s theorem.
• Prove various trigonometric identities.
• Apply the law of cosines and the law of sines for various situations.
• Name points in coordinate geometry using polar coordinates.
• Recognize geometric formulas relating to circles , parabolas , ellipses, and hyperbolas.
• Use translation of axes, rotation of axes, and polar equations of conics .
• Introduce the Binomial theorem.
• Recognize the use of arithmetic and geometric sequences.
• Understand mathematical induction .

Prerequisites:
Math 1314: Pass with a “C” or better.
Math 1316: Pass with a “C” or better.
Co-requisites: Graphing Calculator required. TI-83 or TI- 84, Plus or Silver Edition recommended.
Required Material: Precalculus by Larson/Hostetler, Sixth Edition, Houghton Mifflin, 2004
ISBN-13: 978-0-618-31434-8

## Instructor guidelines and policies

Attendance: It is the student’s responsibility to attend class and record all notes. Attendance will be taken daily. If a student is absent from class it still remains the student’s responsibility to secure the notes from one of the other members of the class and to submit any required assignments

Assignments: No late assignments will be accepted.

Make-up Exams: No make-up exams will be given for any reason. One of the four major test grades (the lowest grade) will be dropped.

Cell phones and beepers: All cell phones and beepers must be turned off during lecture.

GRADE DETERMINATION: *Four major tests will be given with the lowest grade being dropped. The computer assignments will add up to 20 points to the total of the three test grades and the final that will count as two test grades. .

 Your grade will be determined by the following Details Points (if applicable) Percent of Final Average Exams Four exams will be given 100/test 60 Computer Assignments Maple 10 Problems 100 10 Final Exam Dec. 12, 10 -12:00 AM 100 30 Total: 100%

 Letter Grade Final Average in Percent A 100-90% B 89-80% C 79-70% D 69-60% F 59-%

Americans With Disabilities Act (ADA): Any student with a documented disability (e.g. physical, learning, psychiatric, vision, hearing, etc.) who needs to arrange reasonable accommodations must contact the Disability Services Office at the respective college at the beginning of each semester. Faculty is authorized to provide only the accommodations requested by the Disability Support Services Office.

Tentative Instructional Outline:

 Week Number Reading Assignment Reference Chapters 1 Review: Topics include the following: Graphs and Graphing Utilities, Lines in the Plane and Slope , Functions (As sets of Ordered Pairs), Polynomial Functions of Higher Degree, Polynomial and Synthetic Division Ch.1.1,1.2,1.3 1.7,1.8 2 NO CLASS 9/03/07 Review: Real Zeros of Polynomial Functions. This unit concludes with Partial Fraction Decomposition. Review: Trigonometric Function (The Unit Circle) Ch: 2.5, 2.7 4.2 3 Review: Graphs of Sine and Cosine Functions, Graphs of Other Trigonometric Functions, Inverse Trigonometric Functions. Using Fundamental Identities Ch.,4.5,4.6 4.7,5.1 4 Verifying Trigonometric Equations, and Sum and Difference Formulas . Ch. 5.2-5.5 5 Review TEST 1 6 This unit includes Law of Sines, Ch.6.1 6 Law of Cosines, Vectors in a Plane, Ch. 6.2-6.3 7 Vectors and Dot Products , and DeMoivre’s Theorem. Ch.6.4-6.5 8 Review TEST 2 9 Topics include Lines, Introduction to Conics (Parabolas, Ellipses) Ch.10.1 – 10.3 10 Hyperbolas , Rotation of Conics, Ch.10.4-10.5 11 Parametric Equations, Polar Coordinates Ch.10.6-10.7 12 Graphs of Polar Equations and Review Ch.10.8 Review TEST 3 13 This unit contains Sequences and Summation Notation, Arithmetic Sequences, Ch.9.1-9.2 14 Geometric Sequences, Mathematical Induction, and The Binomial Theorem. Ch.9.3-9.5 15 Review TEST 4 Review for Final 16 FINAL EXAM WEDNESDAY, DEC. 12, 10-12:00 AM

HOUSTON COMMUNITY COLLEGE
PRECALCULUS MATH 2412
PROBLEM ASSIGNMENTS

 MAPLE10 CHAPTER PAGE PROBLEMS Problems 1.1 9 Read 1.2 21 15,25,89 1.3 36 31,49,67,77 1.7 75 41,49 1.8 83 19,43,61 2.5 160 11,21,25,33,37,47,69,85,89 2.7 184 5,15,27,39,47 4.2 278 1-51 E.O.O. 4.5 307 27-61 E.O.O. 4.6 318 1-37 E.O.O. 39-47 Odd 4.7 328 1-85 E.O.O. 5.1 359 1-111 E.O.O. 5.2 367 1-55 E.O.O. 5.3 376 1-41 Odd,45,51,55,59 5.4 384 1-35 Odd, 39,47,51,53,59,65,69 5.5 394 1-53 Odd,95,97,99 Review 399 1-85 E.O.O. 6.1 416 1-33 E.O.O.35,39,43 6.2 423 1-15 Odd,23,27,31,39,41 6.3 436 1-75 E.O.O. 6.4 447 1-41 Odd 6.5 457 1-113 E.O.O. Review 461 1-107 E.O.O. 10.1 704 1-49 Odd 10.2 712 1-51 Odd 10.3 722 1-47 Odd 10.4 732 1-37 Odd 10.5 740 7,11,17,19,23,27,33,45,51 10.6 747 1-51 E.O.O 10.7 754 1-69 E.O.O. 10.8 762 1-55 Odd Review 772 1-98 E.O.O. 9.1 621 1-101 E.O.O. 9.2 631 1-73 E.O.O. 9.3 640 1-85 E.O.O. 9.4 652 7,13,,15,29,35 9.5 659 1-53 E.O.O. Review 686 1-107 E.O.O.
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