Physics 111 Lab No. N1 Date: _____

Physics 111 No. M1

The Diagnostic Math Exam

All students enrolled in Physics 111 are required to complete this exam during the first few weeks of classes, as described in detail on the Lab Information and Schedule Sheet for the current semester.

1.) What is the purpose of the diagnostic math exam? Its purpose is two‑fold:

a. to identify for all students those math topics which they need to learn or review;.

b. to identify and advise students with math skills so weak that success in Physics 111 is unlikely or difficult to achieve.

Students who do not have a good working knowledge of high school mathematics and who thus score low on this exam should develop these math skills before taking Physics 111! It is far better for such students to drop or delay taking Physics 111, and learn the mathematics first!

2.) Your Score Report: This reports:

a. your score, and

b. the topics for which you are expected to do either a REVIEW assignment or a FULL assignment. Further information about these assignments is given below.

3.) What is a “low” score on this exam?

This cannot be answered precisely, and you will have to judge for yourself. However, we do know the following:

a. The average score is typically about 27 (out of 38);

b. In a previous semester, of those students who scored below 20, less than 7% earned a grade of B‑ or higher, while 82% received a grade of C‑ or below, or failed to complete the course.

4.) Further information about your report sheet and the required assignments:

Your Score Report Sheet gives:

a. a list of topics you seem to know well;

b. a list of topics you should review;

c. a list of topics you need to learn.

For each topic which you need to review or learn, it is expected that you will study some reference material as needed and complete the corresponding problem assignment listed in the References and Assignments section below. In this section is listed for each topic:

a. reference material;

b. REVIEW assignment (to be completed by those of you needing to review the topic);

c. FULL assignment (to be completed by those of you needing to learn the topic).

The assignments and most of the reference material are contained in:

Mathematics Review Workbook for College Physics by H. Thomas Hudson.

Multiple copies of this workbook are on reserve at the reserve desk of the University library; there may also be a copy in the Physics 111 Helproom.

While Hudson's workbook covers nearly all the topics of concern, you may have access to other books and materials which you may prefer or find clearer; please use whatever materials you find helpful! However, you will have to refer to Hudson to do your assignments. Note that all of the answers are given in the workbook.

We urge you to work on your math skills as soon as possible. You are expected to complete at least five assignments each week until you complete all for which you are responsible. This work should be given to your lab instructor, and it is a required part of the laboratory. (If this requirement is an unreasonable burden for you, you should discuss the matter with the lab supervisor.) Please put the topic # at the top of each assignment which you submit to your lab instructor.

You may do these assignments as fast as you like, but your lab instructor must receive them from you at a rate of at least 5 topic assignments per week.

References and Assignments

TOPIC # 1:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

SUBSTITUTION OF NUMBERS INTO ALGEBRAIC EXPRESSIONS

Hudson, Sections 3.1, 3.2, 3.3 (Page 14- )

Hudson, Chapter 3, Exercises 10, 11, 12 (Page 24)

Hudson, Chapter 3, Exercises 1 - 12 (Pages 23, 24)

TOPIC # 2:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

POWERS OF TEN, MULTIPLICATION AND DIVISION

Hudson, Sections 2.1, 2.2, 2.3 (Page 5- )

Hudson, Chapter 2, Exercises 8-12, 29-32

(Note misprint in 31-32) (Page 12, 13)

Hudson, Chapter 2, Exercises 1-5, 11-15, 25-35

(Note misprint in 31-35) (Page 12, 13)

TOPIC # 3:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

POWERS OF TEN, ADDITION AND SUBTRACTION

Hudson, Section 2.4 (Page 9- )

Hudson, Section 2.4, Practice Problems 35-38 (Page 9,10)

Hudson, Section 2.4, Practice Problems 33-40 (Page 9,10)

TOPIC # 4:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

CONVERSION OF UNITS

Giancoli (5^th Ed), Section 1-6, Page 11

Hudson, Chapter 13, Exercises 23-26 (Page 145,146)

Hudson, Chapter 13, Exercises 20-26 (Page 145,146)

TOPIC # 5:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

ADDITION OF FRACTIONS, COMMON DENOMINATORS - I

Hudson, Chapter 4 (Page 25- )

Hudson, Chapter 4, Exercises 19-24 (Page 36)

TOPIC # 6:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

ADDITION OF FRACTIONS, COMMON DENOMINATORS - II

Hudson, Chapter 4 (Page 25- )

Hudson, Chapter 4, Exercises 19-24 (Page 36)

TOPIC # 7:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

SIMPLIFYING LINEAR EQUATIONS

Hudson, Section 5.1 (Page 37- )

Hudson, Chapter 5, Exercises 14, 15, 16 (Page 46)

Hudson, Chapter 5, Exercises 1-10, 12-16 (Pages 45, 46)

TOPIC # 8:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

SQUARE ROOTS OF SUMS AND DIFFERENCES

Hudson, Section 6.2 (Page 50-)

Hudson, Chapter 6, Exercises 15-17 (Page 54)

Hudson, Chapter 6, Exercises 11-17 (Page 54)

TOPIC # 9:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

QUADRATIC F0RMULA

Hudson, Section 7.1 (Page 56- )

Hudson, Chapter 7, Exercises 12, 24, 30 (Page 62)

Hudson, Chapter 7, Exercises 8-12, 24, 30 (Page 62)

TOPIC # 10:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

TWO LINEAR EQUATIONS WITH TWO UNKNOWNS

Hudson, Section 8.1 (Page 64- )

Hudson, Chapter 8, Exercises 7-10 (Page 72, 73)

Hudson, Chapter 8, Exercises 1-10 (Page 72, 73)

TOPIC # 11:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

LINEAR PARAMETRIC EQUATIONS

Hudson, Section 9.1 (Page 76- )

Hudson, Chapter 9, Exercises 4-6 (Page 82)

Hudson, Chapter 9, Exercises 1-6 (Page 81, 82)

TOPIC # 12:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

PARAMETRIC EQUATIONS, WITH ONE QUADRATIC

Hudson, Section 9.2 (Page 79- )

Hudson, Chapter 9, Exercises 17,19,21,22 (Page 83)

Hudson, Chapter 9, Exercises 12,13,15,16,17,19,21,22 (Page 82, 83)

TOPIC # 13:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

SLOPES OF GRAPHS

Hudson, Chapter 10 (Page 84- )

Hudson, Chapter 10, Exercises 8, 11, 12 (Page 101, 102)

Hudson, Chapter 10, Exercises 7-12 (Page 101, 102)

TOPIC # 14:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

PROPERTIES OF A LINE DETERMINED BY GIVEN POINTS

Hudson, Section 10.1 (Page 84- )

Hudson, Section 10.1, Practice Problems 5, 6 (Page 90)

Hudson, Section 10.1, Practice Problems 3-6 (Page 90)

TOPIC # 15:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

PYTHAGOREAN THEOREM

Hudson, Section 11.1 (Page 103- )

Hudson, Chapter 11, Exercises 2, 4, 6 (Page 123)

Hudson, Chapter 11, Exercises 1-6 (Page 123)

TOPIC # 16:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

CONVERSION BETWEEN DEGREES AND RADIANS

Hudson, Section 11.2 (Page 105- )

Hudson, Chapter 11, Exercises 11-14 (Page 124)

Hudson, Chapter 11, Exercises 7-14 (Page 124)

TOPIC # 17:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

ALGEBRAIC WORD PROBLEMS

Hudson, Chapter 12 (Page 128- )

Hudson, Chapter 12, Practice Problems 7-10 (Page 134)

Hudson, Chapter 12, Practice Problems 1-10 (Page 134)

TOPIC # 18:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

DEFINITIONS OF TRIGONOMETRIC FUNCTIONS

Hudson, Section 11.3 (Page 106- )

Hudson, Chapter 11, Exercises 15, 19, 20 (Page 124, 125)

Hudson, Chapter 11, Exercises 15-20 (Page 124, 125)

TOPIC # 19:

REFERENCE:

REVIEW ASSIGNMENT:

FULL ASSIGNMENT:

TRIGONOMETRIC FUNCTIONS OF LARGE ANGLES

Hudson, Sections 11.3, 11.4 (Page 106- )

Hudson, Chapter 11, Exercises 21-26 (Page 125)