Math 142 - SYLLABUS and TENTATIVE SCHEDULE - Fall 2004

Any student with disabilities or other special needs is encouraged to share these concerns or requests as soon as possible.

 Course Description from the Minnesota State University Moorhead Bulletin. 
Math 142 [E1] Pre-Calculus (4) 
Includes functions, exponents, radicals, inequalities, induction, progressions, binomial theorem, and trigonometry. For students who intend to enroll in MATH 261.

Prerequiste Statement from the Minnesota State University Moorhead Bulletin.  For students who entered MSUM as freshman in Fall 2001 or later, one of the following is required for admission to these mathematics courses: 105, 110, 127, 142, 143, 229, 234, 236, 261, 303, and 306.
* a minimum MnSCU Placement Exam score
* a minimum ACT Mathematics score
* a successful completion of Math 099.

Instructor: Timothy Peil, Ph.D.
Text: Fundamentals of Algebra and Trigonometry Tenth Edition by Swokowski and Cole
Office: MacLean 344
Phone: 218-477-2454
FAX:  218-477-2984
Office Hrs:  MTHF 10:00 - 10:50, 1:00 - 1:50; W 10:00 - 11:50.
E-mail: peil@mnstate.edu
Web homepage: http://web.mnstate.edu/peil

Courtesy to other students is expected at all times.

General Information follows the tentative class schedule.
Date
  
Section
   Topic (TBHI due onTuesdays and Fridays.)
Aug. 23   2.1/2.2    Equations, Applied Problems
Assign: p. 66 #7, 13, 15, 17, 23, 27, 29, 37, 61, 67; p. 77 #1, 7, 15, 23, 25, 26, 27, 28, 34
To be handed in (TBHI) First and Second First due Friday.
24    2.3/2.4   Quadratic Equations; Complex Numbers (as quadratic solutions)
Assign: p. 90 #1, 5, 7, 11, 27, 31, 35, 37, 39, 45, 49, 53, 54, 67, 73, 74; p. 101 #39, 45, 47, 49, 53
26    2.4/2.5   Complex Numbers (operations), Other Types of Equations
Assign: p. 101 #1, 3, 5, 11, 13, 15, 19, 29, 31, 35, 43; p. 107 #3, 5, 9, 11, 13, 15, 19, 21, 41, 44, 45
27    2.6   Linear and Absolute Inequalities
Assign: p. 117 #3, 11, 13, 17, 23, 27, 31, 35, 37, 39, 41, 45, 47, 49, 51, 57, 59, 73, 75, 77
30    2.7   Nonlinear Inequalities
Assign: p. 125 #1 - 41 odd
31    3.1/3.2/3.3   Rectangular Coordinate Systems, Graphs of Equations, Lines
Assign: p. 139 # 1, 5, 7, 9, 15, 27; p. 154 #1, 5, 15, 19, 25, 31, 39, 47, 51; p. 170 #1, 3, 5, 19, 25, 27, 29, 43, 55    TBHI Third and Fourth
Sept. 2    3.4   Definition of Function
Assign: p. 188 #3, 5, 7, 9, 11(c,d), 13(a,b), 15, 17, 19, 23, 27, 29, 41, 45, 57, 58, 59, 60, 65, 66
3    3.5   Graphs of Functions
Assign: p. 205 #25 - 55 odd, 61, 63, 65
6    No Class    Labor Day
7    3.6   Quadratic Functions
Assign: p. 219 #1, 5 - 31 odd, 39, 47
9    Review    
10    Exam 1    
13    3.7   Operations on Functions
Assign: p. 232 #1, 3, 7, 9, 13, 15, 21, 29, 31, 35, 37, 45, 47, 49  TBHI #5
14    3.8   Inverse Functions
Assign: p. 243 #1, 7, 11, 15, 17, 19, 21, 23, 25, 27, 31, 33, 37, 39, 41, 43, 45
16    5.1/5.2   Exponential Functions, Natural Exponential Function
Assign: p. 334 #1 - 11 odd, 25, 27, 29, 33, 37; p. 345 #1, 3, 5, 7, 11, 13, 15, 21, 33
17    5.3   Logarithmic Functions
Assign: p. 359 #1, 3, 11, 13, 15, 17, 19, 21, 25, 31, 33(a-f), 41, 43, 45, 49, 59, 62 
TBHI #6 & 7
20    5.4   Properties of Logarithms
Assign: p. 370 #1 - 33 odd, 35, 45, 47, 53
21    5.4   Properties of Logarithms
Assign: p. 370 #2 - 34 even, 36, 46, 48, 56
23    5.5   Exponential and Logarithmic Equations (Do not use "change of base formula".)
Assign: p. 381 #1 - 33 odd, 37, 49, 53
24    5.5    Exponential and Logarithmic Equations (Do not use "change of base formula".)
Assign: p. 381 #2 - 34 even, 38, 50, 54
27    Review    
28    Exam 2    
30    6.1   Angles
Assign: p. 401 #1 - 37 odd, 45  TBHI #8 & 9
Oct. 1    6.2   Trigonometric Functions of Angles (Definition)
Assign: p. 417 #1, 5, 7, 9, 13, 15, 19, 21, 23, 27, 29, 67, 71, 79, 81, 85
4    6.2   Trigonometric Functions of Angles (Identities)
Assign: p. 417 #3, 11, 17, 31, 33, 35, 37, 39, 45, 47, 49, 51, 53, 55, 57, 69, 83
TBHI #10 & 11
5  

 6.3

    Trigonometric Functions of Real Numbers (Unit Circle)
Assign: p. 436 #1, 3, 5, 9, 11, 13, 17, 21, 23, 25, 39, 43; p. 419 #59, 61, 63, 65, 73, 87
7    6.3   Trigonometric Functions of Real Numbers (graph)
Assign: p. 436 #7, 15, 19, 41, 45, 47 - 61 odd; p. 420 #75, 89, 91
8    6.4   Values of the Trigonometric Functions
Assign: p. 446 #1 - 17 odd, 19, 23, 25, 33(a-c), 35(a-c), 37(a-c); p. 485 #9, 11, 21
11   6.4   Values of the Trigonometric Functions
Assign: p. 446 #2 - 18 even, 21, 27, 33(d-f), 35(d-f), 37(d-f); p. 485 #7, 13, 24(a)
12    6.5   Trigonometric Graphs (See Supplemental Materials links on main 142 webpage.)
Assign: p. 458 #1, 5, 9, 13, 17, 21, 25, 29, 33, 41, 45; p. 485 #15, 24(b), 29(a-c)
TBHI #12
14    6.5   Trigonometric Graphs
Assign: p. 458 #3, 7, 11, 15, 19, 23, 27, 31, 35, 43, 49; p. 485 #17, 25, 29(d-f)
15  

No Class

    Faculty Inservice
18    6.6   Trigonometric Graphs
Assign: p. 469 #1 - 11 odd, 15, 21, 25, 29, 31, 39, 41, 55; p. 486 #41, 45
19    6.6   Trigonometric Graphs
Assign: p. 469 #13, 17, 19, 23, 27, 33, 35, 43, 45, 49, 51, 59, 65; p. 486 #43, 47
21    Review    
22    Exam 3    
25    6.7   Applied Problems
Assign: p. 478 #1, 9, 17, 25, 29, 33, 35, 39, 45, 63   TBHI #13 & 14
26    7.1   Trigonometric Identities
Assign: p. 498 #1 - 61 (every fourth)
28    7.1   Trigonometric Identities
Assign: p. 498 #3 - 63 (4th)
29    7.2   Trigonometric Equations
Assign: p. 511 #1 - 53 (every 4th), 67
Nov. 1    7.2   Trigonometric Equations
Assign: p. 511 #3 - 55 (4th), 75
2    7.3   Addition and Subtraction Formulas
Assign: p. 522 #1 - 53 (4th)    TBHI #15 & 16
4    7.3   Addition and Subtraction Formulas
Assign: p. 522 #3 - 55 (4th)
5    7.4   Multiple-Angle Formulas
Assign: p. 532 #1 - 39 odd
8    7.6   Inverse Trigonometric Functions
Assign: p. 553 #1 - 29 (4th), 33, 37
9    7.6   Inverse Trigonometric Functions
Assign: p. 553 #3 - 27 (4th), 35, 39
11    Review    
12    Exam 4    
15   8.1   Law of Sines (ASA and AAS)
Assign: p. 569 #1, 3, 5, 17, 19, 21, 25, 27, 29
16   8.2   Law of Cosines (SAS and SSS)
Assign: p. 578 #1, 3, 7, 9, 11, 13, 15, 21
18   8.1/8.2   Law of Sines and Law of Cosines (SSA)
Assign: p. 569 #7, 9, 11, 13; p. 578 #5, 17, 19
19   4.1   Polynomial Functions of Degree Greater than 2
Assign: p. 269 #1 - 11 odd, 15, 17, 21, 27, 33, 35, 39,43
22   4.2   Properties of Division
Assign: p. 278 #1, 3, 13, 17 - 41 odd
23   4.3   Zeros of Polynomials (Skip: Descartes' Rule of Signs)
Assign: p. 291 #1 - 23 odd
24 - 28   No Class    Thanksgiving Break
29   4.3   Zeros of Polynomials (Skip: Descartes' Rule of Signs)
30    4.4   Complex and Rational Zeros of Polynomials
Assign: p. 301 #1, 3, 5, 9, 11, 15, 17, 21, 33, 35, 37
Dec. 2    4.4   Complex and Rational Zeros of Polynomials
3   4.1-4.4   Assign: p. 321 #1 - 9 odd, 15, 17, 19, 25, 38
6    Review    
7    Exam 5    
9   No Class   Study Day!!!!!
14        Final Exam 3:00 pm. 

FINAL EXAM: December 14th at 3:00 pm.

GENERAL INFORMATION: 
Prerequisites: A student should have a good algebra background. Minimum requirements would be high school Algebra II and some trigonometry. The course is taught as a rapid review of key algebraic and some trigonometric topics with other trigonometric topics covered in detail to prepare you for Math 261 Calculus I.  I expect that you will spend at least 2 hours for every hour in class working assigned problems and reading the text. Get help and ask for help if you have questions or problems. Note: my office hours; other hours may be arranged if there is a time conflict.

Read the text and be able to work any of the exercises. You may need to work more problems than the assigned exercises, since the assigned exercises will be just a small sample of the types of problems you need to be able to work. Each week, a quiz will be given. Periodically, an assignment will be given to be handed in. The schedule is a basic guide—we may at times be ahead or behind the given schedule.

Exam solution keys and some homework assignment keys will be posted at my web homepage. http://web.mnstate.edu/peil .

For the assigned homework, all steps must be shown to receive credit. For any corrected exercise, just writing the answer will result in no credit. You must be in class to hand in an assignment and no late assignments will be accepted!!!  There may be supplementary worksheets assigned at various times during the semester.

If you have any questions or problems, come in for help. If my office hours do not match your schedule, see me about arranging another time to meet. Also, you may e-mail me questions.

 When used in an appropriate manner, calculators and computers are excellent tools. I want to emphasize the idea of tool, please use the appropriate tool for the appropriate task. For example: simple computations such as single digit arithmetic and estimations should be done mentally, use a calculator for several digit arithmetic, and use a computer in situations involving repetitive operations such as multiplying several values by the same number. The key analogy is you would not use a pile driver or a sledge hammer to put a thumb tack into a bulletin board. Or,

I will use a teaspoon to till a flower pot,
a spade to till a flower bed,
a tiller to till a garden,
and a tractor and plow to till a field.
I will not drive a tractor and plow into my house to till a flower pot.
Timothy Peil (1995)

Use of a calculator may be restricted for some tests and quizzes, when a calculator is allowed be prepared to justify all steps and provide exact solutions.  

No makeup exams will be given!!!—except in cases of extreme illness, family emergency, or university-approved activity, in which case exceptions will be made on a case-by-case basis. For me to even consider an exception, you must notify me (not the department secretary) before the exam takes place, and provide documentation (such as a receipt from the doctor) before taking the makeup exam.

Your grade will be determined from the total points earned from the four in-class hour exams, quizzes, homework, projects, and the comprehensive final exam. Grades will be assigned using lower bounds of 93 A; 90 A-; 87 B+; 83 B; 80 B-; 77 C+; 73 C; 70 C-; 67 D+; 63 D; 60 D-; and below 60% F.

The following are required to be on the syllabus by MnSCU.

When and where is class.  MTHF 2:00 - 2:50 pm in Bridges 262

E1 – Mathematics Student Learning Outcomes 
http://web.mnstate.edu/math/MathStudentLearningOutcomes.htm

Attendance Policy. http://web.mnstate.edu/sthandbook/POLICY/index.htm
http://web.mnstate.edu/math/MSUMAbsencePolicy.htm  
http://web.mnstate.edu/bring/AcademicDishonesty.htm

Academic Honesty.  http://web.mnstate.edu/sthandbook/POLICY/index.htm
http://web.mnstate.edu/math/MSUMAcademicHonestyPolicy.htm
http://web.mnstate.edu/bring/AcademicDishonesty.htm

Return to Peil's Homepage | Minnesota State University Moorhead | Mathematics Department