MATH 2412

Precalculus: Functions and Graphs

Information for Students **

2002 – 2003

Text: Functions Modeling Change: A Preparation for Calculus, by Connally, Hughes-Hallet, Gleason, et al.

Course objectives:  http://www.austincc.edu/mthdept2/tfcourses/obj2412.htm

Prerequisites: Trigonometry, MATH 1316, or an equivalent course. You should also have current algebra skills at the level of MATD 0390, Intermediate Algebra.  If you do not have current knowledge of these topics, then you should ask your instructor about course level changes.

Course Objectives:  This course is designed to teach students the algebraic and trigonometric modeling concepts needed for scientific/engineering calculus.  It is not simply a review of college algebra and trigonometry.

Syllabus/Calendar/Suggested Testing Scheme

16-Week Semester

1    Appendices F, G, H, 1.1

2    1.2, 1.3, 2.1, 2.2

3    2.2, 2.3, 2,4, 3.1, 3.2

4    3.3, 3.4, Exam #1

5    8.1, 8.2, 8.3, 4.1, 4.2

6    4.3, 4.4, 4.5, 4.6

7    4.8, 4.7, 4.9, 4.10, 5.1

8    5.2, Exam #2

9    5.3, 5.4, 5.5, 6.4

10    6.5, 6.6, 6.7

11    7.3, 7.4 ­ (only identities on p.308), 7.5, 7.6

12    10.1, 10.2, (10.3, 10.4), Exam #3

13    9.1, 9.2, 9.3, 9.4, 9.5

14    9.5, 9.6, 11.1, 11.2

15    11.2, 11.2, 11.4, (11.5, 11.6)

16    Exam #4, Review, Optional Comprehensive Exam

11-Week Semester

1    Appendices F, G, H, 1.1, 1.2, 1.3

2    2.1, 2.2, 2.3, 3.1, 3.2, 3.3, 3.4

3    8.1, 8.2, 8.3, Exam #1

4    4.1, 4.2, 4.3, 4.4, 4.5

5    4.6, 4.7, 4.8, 4.10, review

6    Exam #2, 5.1, 5.2, 5.3

7    5.4, 5.5, 6.4, 6.5, 6.6, 6.7

8    7.3, 7.4, 7.5, 7.6, Exam #3

9    10.1, 10.2, 9.1, 9.2, 9.3, 9.4

10   9.5, 9.6, 11.1, 11.2, 11.3, 11.4

11   Review, Exam #4, optional final

Attendance is required in this course.  Students who miss more than 4 classes may be withdrawn.  After the withdrawal date each semester, neither the student nor the instructor may initiate a withdrawal.  It is the student's responsibility to initiate all withdraw­als in this course.  The instructor may withdraw students for excessive absences (4) or failure to meet course objectives but makes no commitment to do this for the student.

Incomplete grades (I) will be given only in very rare circum­stances.  Generally, to receive a grade of I, a student must have taken all examinations, be passing, and have a personal tragedy occur after the last date to withdraw which prevents course completion.

Testing, Grading, and Homework:  The testing scheme given with the syllabus and calendar is only one possible scheme.  Your instructor may use a different one.  Your instructor will give you an additional handout with details about testing, grading, and homework for your section of this course.

Outside Help:   There is free walk-in tutoring in the Learning Lab.  Some lab classes are offered.  Check the schedule for times and locations. 

Use of Graphing Utilities:  As with any course where either graphing or scientific calculators are used, the calculator will be used as a supportive tool. This course is not about calculator usage, but about precalculus concepts.  We will use graphing calculators when their use enhances the understanding of a mathematical idea.  Graphing calculators are not required for this course.  However, as you progress through the semester you may find it convenient to purchase your own.  Individual instructors may vary in how often and in what manner they utilize these type of calculators.

Suggested Homework Functions Modeling Change

Appendix F       3, 9, 13, 17, 21, 27, 31, 35, 39, 45, 51, 53, 57, 59, 68, 75, 77

Appendix G       1, 3, 7, 11, 13, 15, 16

Appendix H       1, 5, 6, 7, 13, 14, 17, 18, 20, 23, 27, 31, 32, 37, 43, 45, 46, 49, 51, 53, 57, 59

1.1        1, 3, 4, 6, 8, 9, 10, 11, 13, 16, 20, 22, 24

1.2        1, 4, 9, 11, 14, 18, 19, 20, 21, 25, 27, 30, 33, 35, 36

1.3                1, 5, 6, 9, 10, 13, 15

2.1        1, 5, 7, 10, 14, 17, 20

2.2        1, 6, 7, 8, 19, 20, 21, 23, 25, 27

2.3        1, 3, 4, 7, 14, 15, 19, 21, 23

2.4               1, 3, 5, 7

3.1        1, 3, 6, 9, 11, 12, 15

3.2        1, 3, 5, 7, 9, 13, 15, 16, 19

3.3        2, 5, 7, 10, 17, 23, 24, 27

3.4        1, 2, 3, 5, 6, 11, 12, 15

8.1        1, 3, 5, 9,10,13, 17, 23, 27, 28, 29, 31, 35, 41, 46, 51, 53, 59, 61, 65

8.2        1, 3, 6, 7, 10, 11, 13, 17, 21, 22, 24, 33, 37, 41, 43, 47, 49, 52, 57, 59, 61

8.3                1, 3, 7, 9, 15, 18, 21

4.1        1, 3, 6, 9, 11, 15, 17, 20

4.2        1, 7, 9, 13, 15, 16, 17, 21, 23, 26, 29

4.3        1, 3, 5, 7, 10, 11, 17, 19, 25, 27, 28, 29

4.4        1, 3, 6, 7, 9, 10, 13, 17, 19, 25, 29, 31, 34

4.5        1, 3, 9, 11, 17, 23

4.6        1, 3, 5, 8, 9, 11, 15, 17, 19, 23, 26

4.8        1, 3, 7, 9, 15, 17, 20, 21

4.7        1, 5, 9, 11, 19, 22, 23

4.9        2, 3, 5, 6, 10

4.10            1, 3, 7, 11, 13

5.1        1, 2, 5, 7, 9, 11, 12, 13, 17, 22, 23, 25

5.2        1, 3, 7, 8, 9, 17, 18, 19, 21, 23, 27, 29, 31, 33, 35

5.3        1, 3, 7, 9, 11, 13, 17

5.4        1, 3, 4, 9, 13, 15, 17

5.5        1, 3, 5, 7, 15, 17, 21, 23, 29, 33, 35, 39

6.4        2, 3, 5, 7, 9, 13, 15, 18, 20, 23

6.5        1, 2, 13, 17, 19, 21, 25, 35, 37, 47, 51

6.6        1, 3, 9, 11, 14, 15, 17, 22, 25, 31

6.7        1, 5, 9, 13, 17, 19, 21, 29, 31, 33, 35

7.3        1, 3, 5, 9, 11, 13, 15, 17, 19, 21, 25, 29, 33

7.4        1, 3, 5, 7, 9, 15, 23

7.5        1, 5, 9

7.6        1, 2, 3, 5, 9, 11, 13, 17, 19

10.1      1, 3, 5, 7, 9, 11, 13, 15, 16, 19, 20, 21

10.2      1, 3, 5, 7, 9, 11, 15, 17, 19, 21, 24

9.1        1, 5, 9, 10, 15

9.2        1, 3, 5, 11, 15, 19, 20, 25

9.3        1, 5, 7, 9, 13, 15, 17, 19, 21

9.4        1, 3, 5, 7, 11, 16, 17, 19, 21, 23, 29, 31, 33, 36, 37, 39

9.5        1, 3, 5, 9, 11, 14, 17

9.6        1, 3, 5, 7, 8, 9, 13, 17, 23, 25, 27, 31, 33, 37

11.1      1, 3, 5, 9, 15, 17

11.2      1, 5, 9, 13, 19, 23, 24, 27, 31, 33, 35, 39

11.3      1, 5, 11, 13, 15, 17, 19, 23, 25, 27, 31, 33, 35

11.4      1, 4, 5, 7, 8, 9, 11, 13, 14, 18