CCBC   Essex                                                                                    Mathematics and Science Division

MATH  165  Precalculus                                                        Section: EK1

 


CLASSROOM LOCATION: J206                                         Semester: Fall 2009

TEXT(S):   Algebra and Trignometry,    Sullivan & Sullivan, 5th edition Pearson/Prentice Hall Publishers

Instructor: Xianghao Cui                   Meeting times: TR      8:00 – 9:45                 

Phone: (443)840-1359                        Email: xcui@ccbcmd.edu       Office: F421

WEBPAGE:  http://faculty.ccbcmd.edu/~xcui/xcui.html       

Office hours:         M         10:00 – 11:00,             1:00 – 2:00

                                    T          10:00 – 11:00

                                    W        10:00 – 11:00, 1:00 – 2:00

                                    AND BY APPOINTMENT

 

Course Pre-requisites:   (Reading 052 or LVR2) and (Engl 052 or LVE2) or (ESOL 052 or LVE2) and Math 163.

 

COURSE DESCRIPTION

 

        Prepares students for calculus; covers exponential and logarithmic functions with graphing, equations, applications, and modeling; conic sections and parametric equations; trigonometric functions; vectors; partial fractions; polar coordinates and graphing; mathematical induction; sequences and series.

 

Exam:             There will be three one-hour exams during the semester (TBA), in addition to the final.  Make-up Exams will not be given except under very unusual circumstances.

Quizzes:          Quizzes will be given every Thursday.  Quizzes are based on the homework assignments.  The lowest of quiz grades will be dropped.  There will be no quiz make-ups.

Homework:    The list of assignments is an overall guideline for the course.  Although homeworks will

                        not be collected, it is extremely important that you keep pace with the assignments.  Try

                        to solve problems as many as you can.

Attendance:     You are expected to attend all scheduled classes.  It is extremely important that you come to class in order keep up with the material and to understand my expectations.

Grades:           Quizzes                                    15%

                        Three hourly exams     60% (20% for each exam)

                        Final                            25%

 

                        90 – 100          A

                        80 – 89                        B

                        70 – 79                        C

                        60 – 69                        D

                        Under 60         F

CALENDAR

FALL   2009

FULL Term

 

Classes BEGIN

August 31

 

50% refund ends

September 18

 

Last day to withdraw with “W” or change to audit “AU”

November 6

 

Thanksgiving Holiday -   NO CLASSES

November 26-29

 

Last day of  classes

December 12

 

Final Exams

December 13-19

 

 

 

 

 

 

 
                        Math 165 EK1                        Practice Problems                  Fall 2009

 

 Ideally, you should attempt every problem after the corresponding section was covered.  Although homework will not be collected, it is extremely important that you keep pace with the assignments, try to solve as many problems as you can.

 

TENTATIVE SCHEDULE OF HOMEWORK ASSIGNMENTS:  

 

Section

Subject

Problems

6.1

Composite Functions

4-7, 9, 11, 15, 21, 25, 31, 35, 39, 41, 49, 53, 59, 65, 67

6.2

One-to-one Functions

 

4-8, 9-23 odd, 27, 35, 37, 41, 45 ,51 ,53 59, 71,81,83,85

6.3

Exponential Functions

6-11, 21, 23, 27-33 odd, 43-47 odd, 53, 65, 69, 71, 75, 82, 95, 97,99,105

6.4

Logarithmic Functions

4-9, 13, 15, 19-37 odd, 43, 59-63 odd, 67, 71, 75, 81, 89, 91, 99, 117, 119, 123

6.5

Properties of Logarithms

5-13 odd, 25, 29, 31, 33, 39, 41, 47, 53, 59, 61, 65-73 odd, 81-87 odd

6.6

Logarithmic  and Exponential Equations

9, 11,17, 31, 35, 41, 43, 47, 49, 61-67 odd, 79, 81, 97, 99

6.8

Exponential Growth & Decay

1-11 odd, 15, 23, 25

7.1

Angles and Their Measures

11-25 odd, 29,31, 35-61 odd, 65, 67, 71-75 odd,

79-83 odd, 87, 91, 95, 99, 103, 105

7.2

Right Triangle Trig

11, 13, 17, 25-31 odd, 37, 43, 45, 47, 55, 57, 67

7.3

Computing Values

7-17 odd, 21-25 odd, 29-37 odd, 57, 59, 65, 69, 71

7.4

Trig functions of General Angles

11, 13, 17, 21-35 odd, 41-49 odd, 53, 59-63 odd, 69, 71, 73, 77, 79, 83, 85, 93, 95,107,109

7.5

Unit Circle Approach

9-25 odd, 29-33 odd, 37-41 odd, 45, 47, 51, 55, 61-77 odd

7.6

Graphs of Sine and Cosine

9-19 odd, 23, 27, 29, 33, 39, 43, 47-51 odd, 55-59 odd, 67, 71, 75, 93

7.7

Graphs of Tan, Cot, Csc, and Sec

3-7, 9-17 odd, 23, 25, 31, 33

7.8

Phase Shift; Sinusoidal

 

1-9 odd, 15-21 odd, 27, 29, 33, 35

8.1

Inverse Sin, Cos, and Tan

7-12, 13-21 odd, 25-31 odd, 37-41 odd, 45-49 odd, 69, 73

 

8.2

Inverse Trig Functions (continued)

4-8, 9-23 odd, 37-41 odd, 45-49 odd

 

8.3

Trig Identities

3-8, 9-27 odd, 31, 41, 43, 53, 61, 69, 71, 73, 93

8.4

Sum and Difference Formulas

4-8, 9-27 odd, 31, 33, 37, 39, 45, 47, 51, 57, 67, 71, 75

8.5

Double-Angle and Half-Angle Formulas

1-6, 7-13 odd, 19-25 odd, 29, 47, 51, 53, 57, 69-73 odd

8.6

Product-to-Sum and Sum-to-Product Formulas

 1, 3, 11-15 odd, 19, 23, 27, 31

8.7

Trig Equations (I)

3-6, 7-13 odd, 17, 21, 23, 27, 31, 37, 41, 43, 47, 63, 65

8.8

Trig Equations (II)

5-19 odd, 23, 29, 35, 39, 43, 47, 49, 57, 65, 67

9.1

Applications: Right Triangles

9, 13, 15, 19, 23, 25, 27, 35, 37

9.2

The Law of Sines

4-9, 11, 15, 17, 23, 25, 29, 31, 39, 41, 47, 55

9.3

The Law of Cosines

3-9, 11, 15, 17, 29, 43, 47, 49

10.1

Polar Coordinates

5-10, 11-47 odd, 55-61 odd, 67-81 odd

10.2

Polar Equations and Graphs

7-12, 13-25 odd, 29, 31, 33, use your calculator  to graph 37, 41, 47, 49, 53, 55

10.3

The Complex Plane: DeMoivre's Theorem

5-10, 11-17 odd  23-29 odd, 33, 37, 39, 41, 45, 47, 49, 53, 55, 59, 61

10.4

Vectors

1-6, 7-47 odd, 55, 57, 59, 63

11.2

The Parabola

6-10, 11, 13, 15, 19, 23, 27, 29, 37, 39, 41, 43, 47, 55, 59, 63, 67, 73

11.3

The Ellipse

7-12, 13-23 odd, 27, 31, 33, 39, 43, 45, 47, 69, 71

11.4

The Hyperbola

7-12, 13-25 odd, 29, 35, 39, 43, 47, 49, 53, 73 (see example 9 in text) 71                                                                         

 11.7

Plane Curves and Parametric Equations

2-6, 7, 13, 17, 21, 23, 27, 29, 35, 37, 49, 53, 57

13.1

Sequences

5-11, 13-23 odd, 29, 31, 35, 37, 41, 45, 49-55 odd, 61, 65, 67, 71, 73, 75, 79, 83, 85, 89

13.2

Arithmetic Sequences

1-3, 5, 9-17 odd, 21-23, 27, 31, 35, 37, 41, 43, 49, 51

13.3

Geometric Sequences  Geometric Series

1-7, 9, 15, 17, 19, 25, 29, 39, 41, 47, 51, 53, 55, 63, 81, 83

 

Mathematical Induction

1-15 odd

Partial Fraction

1-5, 7, 9, 13, 15, 19, 25, 29, 33

 

 

COURSE OBJECTIVES

Upon successfully completing the course students will be able to:

  1. Produce and compare graphs of absolute value and piecewise-defined functions; 
  2. Solve inequalities in one and two variables; 
  3. Solve absolute value inequalities in one variable; 
  4. Identify domain and range of functions;
  5. Produce and compare graphs of functions, using translations, symmetry, end behavior, and asymptotes;
  6. Combine two or more functions using addition, subtraction, multiplication, division, or functional composition;
  7. Identify the inverse of a given function;
  8. Identify the function, given information about the function;

9.      Model numerical data using quadratic functions to further analyze data and predict values; 

  1. Perform operations with functions;
  2. Produce and compare graphs of exponential and logarithmic functions;
  3. Solve problems using exponential and logarithmic functions;
  4. Produce and compare graphs of polynomial functions;
  5. Identify the zeros of polynomial functions; apply the Fundamental Theorem of Algebra;
  6. Identify the equation of a polynomial using the Theory of Equations and given sufficient information about its zeroes;
  7. Apply the Binomial Theorem to determine the coefficients of a polynomial;
  8. Solve rational equations;
  9. Produce graphs of rational functions;
  10. Construct a solution to real world problems using problem methods individually and in groups;
  11. Examine the mathematical contributions made by people from diverse cultures throughout history. (V, 5)
  12. Articulate a solution to mathematical problems;  and
  13. Apply appropriate technology to the solution of mathematical problems.

 

Major Topics

              I.      Absolute value equations and inequalities

a.       Absolute value equations

b.      Absolute value inequalities

           II.      Functions

c.       Review domain, range, functional notation

d.      Modeling data with linear regression function

e.       Review quadratic functions and their graphs

f.       Graphing techniques using shifting/stretching techniques

g.       Absolute value and piecewise defined functions and their graphs

         III.      Polynomial Functions

h.      Graphs of polynomial functions

i.        Zeros of polynomial functions

j.        Complex numbers and theory of equations

k.      Fundamental Theorem of Algebra

l.        Modeling with polynomial functions

        IV.      Binomial Theorem

m.    Expanding a binomial

n.      Finding a term in a binomial expansion

           V.      Rational Functions and Radical Functions

o.      Graphs of rational functions

p.      Graphs of radical functions

q.      Equations and inequalities of rational and radical functions

        VI.      Combinations of Functions

r.        Arithmetic operations on functions

s.       Composition of functions

t.        One-to-one functions

u.      Inverse functions

      VII.      Exponential and Logarithmic Functions

v.      Definition and graphs of exponential functions

w.     Definition and graphs of logarithmic functions

x.      Properties of logarithms

y.      Solving exponential and logarithmic equations

z.       Applications of exponential and logarithmic functions

aa.    

Rationale (Instructor’s statement relating course content to student’s personal and academic growth, etc.)

College Algebra for Calculus is the first course in the Calculus track.  The students will be introduced to the basics of linear and quadratic equations and inequalities, basic polynomial and rational functions, transcendental functions, systems of equations and basic matrix operations.  This course is a pre-requisite for Pre-Calculus and will lay the ground work for the more intensive topics covered in that course.

 

Attendance policy

Attendance at each class and lab is essential.  Please be on time.  Students with a legitimate problem about attendance  should discuss the situation with their instructor.

NOTE:  The deadline for withdrawing from a course or changing to an audit for the SPRING 2009 semester is

April 20, 2009.   Failure to officially withdraw from a class you have stopped attending may result in an "F" grade.

 

COURSE REPEAT POLICY

 

Policy on Repeated Courses, page 194 of the 2004-2006 CCBC catalog states, “Students may repeat a course only once without permission.  When a student repeats a course, only the higher grade is computed into the Quality Point Average (QPA).  All grades will remain on the student’s transcript.  Before a student is permitted to register for the course for a third time, the student must have the permission of the academic dean responsible for the course.  Before a student may repeat a developmental course that he or she has failed twice, the student’s record must be reviewed by a support team which will make recommendations regarding enrollment.”  Please note:  The instructor does not have the authority to grant permission to register for a third attempt at the course.

Disabled Students

In accordance with the Americans with Disabilities Act, CCBC is committed to providing an environment that is conducive to learning for all students.  Any student who is disabled and requires special accommodation should contact the appropriate campus as follows:

Campus:

Office:

Room:

Phone:

Catonsville

Office of Disabilities Support Services

K-200

443-840-4408

Dundalk

Office of Career and Life Planning

A-100

443-840-3774

Essex

Office of  Disability Support Services

A-210

443-840-1741

Code of Academic Integrity For the College to make its maximum contribution as an institution of high learning, the entire college community must uphold high standards of integrity, honesty, and ethical behavior.  In seeking the truth, in learning to think critically, and in preparing for a life of constructive service, honesty is imperative.  Each student has a responsibility to submit work that is uniquely his or her own, or to provide clear and complete acknowledgement of the use of work attributable to others.  To these ends, the following actions are expected of students:

·         Complete all work on exams without assistance.

·         Follow the professor’s instructions when completing all class assignments.

·         Ask for clarification when instructions are not clear.

·         Report to the instructor any unauthorized information related to an exam.

·         Provide proper credit when quoting or paraphrasing.

·         Submit only one’s own work.

Students who do not accept responsibility for the integrity of their own work will experience sanctions, including a written reprimand, failure of the assignment, failure of the course, and/or dismissal from the program.  For repeat and extreme offenses, the College reserves the right to suspend or expel students.

Writing Policy

The College recognizes that clear, correct, and concise use of language is characteristic of an educated person.  Therefore, whenever possible, faculty members in all disciplines should require written assignments in their courses in order to encourage effective writing by their students.  Also, instructors should consider the quality of writing in determining a grade for a written assignment.  Poor writing can be a sufficient cause for a failing grade on a paper and, in extreme cases, a failing grade in a course.

 

WEATHER  CLOSINGS

Catonsville,  Dundalk,  Essex

443-840-1711

 

TUTORING SERVICES

 

Students are encouraged to seek help from their instructors whenever they encounter academic difficulty (either during scheduled office hours or by appointment).  In addition, each campus offers free academic support services.  For more information, contact:

 

Campus:

Office:

Room:

Phone:

Catonsville

Tutoring Services

F-200

443-840-4420

Dundalk

Tutoring Services

CAR-530

443-840-3572

Essex

Student Success Center

A-307

443-840-1820

 

CIVILITY AND COMMUNITY BUILDING EXPECTATIONS

 

As members of the CCBC community of learners, we are expected to act with respect, honesty, responsibility and accountability.  Each of us is expected to be aware of the impact our behavior has on the community.  CCBC wishes to each learner to commit to the following actions:

 

                        •   Become an active and engaged learner

                        •   Celebrate the richness of our diversity

                        •   Respect the campus and its code of conduct

                        •   Practice empathy and compassion

                        •   Promote the empowerment of others