Math 115, Joel M. Cohen (Summer, 2003)

This WEB page is http://www.math.umd.edu/~jmc/115.html,  and was last updated:8-1-03Homework
Title: Pre-Calculus 
Instructor: Professor Joel M. Cohen

Office: MTH 2313, Telephone: (301)405-5109 
Home phone: (202)546-1823. 

Class Time: M-F 9:30-10:50 
Location: Math 1313
E-mail address:  jcohen@umd.edu
Book: Pre-calculus: Mathematics for Calculus 4th ed., by J. Stewart, L. Redlin and S. Watson,  published by Brooks/Cole. 

Prequisite: Satisfactory score on Math Department placement exam, completion of the appropriate module of MATH 003, or completion of Math 113. 

Office Hours: MTWTh 12:30-1:30.  Occasionally, it may be necessary to change this time, so let me know if you are planning to see me.  You can also send me email. I will answer queries as quickly as possible during office hours, and as time permits otherwise. 

Tutoring: The math department provides tutoring for Math 115 every day 12:30 - 2:30 p.m. Room 0301.

Web Posting:  If you have given written permission to post your grades under an alias, you may check the grades by clicking here.

Sample tests:  Sample tests are available by clicking here.

Description: MATH 115 is a preparation for Calculus, either MATH 220 (for which Math 113 is an alternate prerequisite) or MATH 140, with a focus on functions and graphs and algebraic techniques preparatory to calculus.  The functions studied include polynomials, rational functions, exponential and logarithmic functions, and trigonometric functions. 
 
  TOPICS
 
Algebra


        Inequalities 
        Absolute value inequalities 
        Table of signs for polynomial and rational inequalities 
Functions
         Domain 
         Operations including compositions 
         Inverses 
         Graphs 
         Symmetry 
         Transformations:  Shifts, reflections, stretching and shrinking 
Quadratic functions and equations
          Applications involving quadratic equations 
          Parabolas 
          Extreme value problems 
          Quadratic related equations including radical equations 
Polynomials
          Shape of graph 
          Writing polynomial functions with specific properties 
          Using a graphing calculator to draw complete graphs 
Rational functions
          Finding intercepts and asymptotes 
          Graphing with and without calculator 
Conic sections
          Standard equations for parabolas, circles, ellipses, and hyperbolas, shifts of conic sections 
          (if time allows) 
Exponential and Logarithmic functions
          Definition 
          Graphs 
          Exponent rules 
          Laws of logarithms 
          Exponential and logarithmic equations 
          Exponential growth and decay 
Trigonometry
        Angles 
        Radian and degree measurement of angles 
        Arc length and angular speed 
Trigonometric functions
        Circle, point, and right-triangle definitions of functions 
        Graphs of trig functions 
        Sinusoidal graphs
Solving triangles
        Right triangles 
        Law of Cosines 
        Law of Sines 
Trigonometric identities
        Reciprocal identities 
        Pythagorean identities 
        Negative-angle identities 
        Periodicity identities 
        Sine and cosine addition and subtraction identities 
        Double-angle identities 
        Power-reducing identities 
Trigonometric equations
        Finding algebraic solutions 
        Finding calculator solutions 

(A graphing calculator such as the TI- 83, is required for Math 115.  It is used in exploring the graphs of functions and equations and in solving problems.

   

COURSE OUTLINE (subject to change)

DATE        SECTION    ASSIGNMENT

July 14        1.5            p. 57: 20, 34, 39, 44, 46, 48, 50, 54, 56, 61, 66, 79; p. 128: 1-4

July 15        1.6 (omit ex 5,6)     p. 70: 10, 11, 14, 24, 30, 32, 36, 40, 66, 68, 72; p. 128: 5, 6

July 16        1.7        p. 87: 18, 21, 24, 32, 34, 38, 43, 48, 52, 54, 57, 62, 66

July 17        2.1        p. 151: 4, 6, 8, 16, 17, 22, 28, 33, 38, 48, 54, 55, 60, 68

    2.2        p. 165: 2, 6, 10, 12, 21, 24, 27, 28, 32, 33, 34, 36, 40, 72

July 18        2.4        p. 182: 4, 8, 10, 12, 13, 18, 20, 24, 28, 33, 36

        2.5        p. 194: even 4-14, 18, 20, 24, 27, 34, 40, 59, 60

July 21        2.6 (197-202)        p. 204: 4, 6, 14, 22, 28, 32, 36, 37, 40, 44, 56;  p. 240(concept check): 1, 2

July 22        2.7        p 214: 4, 6, 8, 12-14, 17, 22, 24, 26, 27

July 23        2.8        p. 225: 6, 8, 10, 34, 42, 45, 48, 50, 56
 

                    2.9            p. 237: 12, 16, 18, 23, 34, 39, 42, 44, 47, 56, 64

July 24      Review

July 25        Exam 1

July 28        3.1        p. 269: even 2-10, 14, 18, 20, 21, 30, 34, 36-42, 76, 77, 83, 84

July 29        3.6        p. 322: even 20-34, 38

                  Rev 2        p. 241: 27, 28;

July 30        3.6        p. 322: even 40-48, 52, 68, 74; p. 129: 21, 22, 28

Read:          4.1        p. 343: 4, 8, 12, 14-20, 24, 30, 34, 38, 44, 48

July 31        4.2        p. 356: 4, 6, 12, 14, 18, 20, 22, 30, 38, 40-44, 48, 49, 52, 56, 60, 62; p. 373: 38, 40

Aug. 1         4.3        p. 363: 18, 22, 34, 42, 46, 48, 50, 60, 62

Aug. 4         4.4        p. 372: 6, 12, 18, 24, 30, 32, 44, 46, 48, 49, 66

                    Rev 4        p. 390: 6, 16, 46, 50

Aug. 5          pp. 394-403        p. 403: 2, 3, 4

Aug. 6        Review

Aug. 7        Exam 2

Aug. 8          5.1        p. 416: 4, 6, 10, even 14-22, 24, 26, 28, even 30-34, 38, 40, 44

Aug. 11        5.2        p. 426: even 2-12, 18, 20, 22, even 44-54, 58, 60, 62, 64, 66

Aug. 12        5.3        p. 439: even 2-12, even 18-38

Aug. 13        5.4        p. 451: even 2-12, 16, 18, 22, 26, 27, 36

                     7.1        p. 540: even 2-22, 28, 36, 38

Aug. 14        7.2        p. 548: 8, 10, 14, 16, 20, 28, 36, 44, 46, 48

         7.3 (to p.553)        p. 557: 2, 4, 8, 14, 56, 64, 80, 81

Aug. 15        7.5        p. 579: 2, 6, 8, 12, 16, 18, 28, 32, 38, 40, 50, 54, 60, 68

Aug. 18        6.1        p. 480: 2, 4, 4-10, 12, 16, 19, 20, 25, 26, 36, 40, 44, 47, 52

                     6.3        p. 501: 44, 47, 48, 56

Aug. 19        6.2        p. 489: 4, 10, even 18-24, 28, 32, 36, 38, 42, 44-46

                     6.4        p. 510: 4, 6, 12, 24, 25, 26, 32

Aug. 20        6.5        p. 518: 4, 6, 12, 14, 16, 28, 30, 32, 35, 40

Aug. 21        Review

Aug. 22        Final Exam
 
 
 
 

Using this course outline:After each class date is listed the section scheduled to be covered that day and the exercises which should be worked before the next class session.
 
 

Homework: Homework and quizzes based on homework are an integral part of this course and counting more than 1/7 of the total points for the course.  Problems and problem sets will either be collected or used as the basis for in-class quizzes.  It is expected that the work on all assignments turned in will be your own even if you study with someone else or get help from a tutor or your teacher.

The Student Solutions Manual can help you in learning to solve problems.When you work practice problems try to work the problems on your own.If you reach a point where you are stuck, look up the solution in the solutions manual and see how the authors proceeded or began.Then close the book and try to make the next steps.Always try to answer the question, "Why did they do it that way?"If you have trouble with an even-numbered problem, try working the problem just before or just after it (or any other odd problem that looks similar), using the solutions manual if needed.Then try the even problem again.If homework is collected for grading or used to answer a quiz problem, the work must be your own; if solutions are copied from the solutions manual, you will receive no credit for them and may be subject to charges of honor code violation for plagiarism.

The average time spent on non-examination studying for a math course at this level should be about three hours for every.  In other words you should plan to spend an average of fifteen hours a week on homework and studying for quizzes.
 
 

Grade Policy

2 midterm exams, lowest counts 50%(100 points each)= 150 pts.

Quizzes and Homework= 145 pts.

Teacher evaluation*= 5 points

Final Examination= 150 pts

TOTAL= 450 pts

Average = Total/4.5

*You will be asked to complete an online confidential teacher evaluation, and will be given 5 points completing it.
 

The expectation is that a letter grade will be given using the following scale for the semester average:90-100 (A),80-89 (B),70-79 (C),60-69 (D),0-59 (F).There will be no curving of exam grades during the semester.If there is any adjustment to this curve, it will only be done for the course totals and the final grade at the end of the semester.

Honor Code:You are expected to abide by the University Honor Code on all examinations, quizzes, and homework assignments. Copying solutions from the solutions manual is plagiarism.Copying homework solutions or quiz or test answers from someone else is also cheating as is altering a quiz or examination after it has been graded or giving answers to someone during an exam or quiz.You will be asked to write and sign the following honor pledge on each assignment, quiz and exam unless exempted on assignments by your instructor:
                                                I pledge on my honor that I have not given or received any unauthorized assistance on this assignment / quiz / examination.