University of Memphis

Dept Math Sciences

MATH 1730 – Pre-Calculus

Fall 2017

Dwiggins

**Test # 4: Analytic Trigonometry**, is on Wednesday, November 29.

Part of the exercises for Chapter Six are listed below (for Quiz # 7).

Also, you will want to know the definitions of amplitude, frequency, period and phase shift

from Chapter Five (and as on Quiz # 6).

Here is the rest of Chapter Six, plus exercises from Chapter Seven:

- Analytic Trigonometry
- Inverse Trig Functions: pages 471-2, # 1-33 odd
- The Law of Sines: page 488, # 1-13 odd, # 17, # 19
- The Law of Cosines: pages 497-8, # 1-25 odd
- The Area of a Triangle: page 500, # 37-45 odd
- Polar Form of Complex Numbers: page 528, # 1, # 5, # 9, # 13, # 19

page 529, # 21-37 odd, # 47-53 odd, # 61, # 63, # 73, # 75, # 77 - DeMoivre's Theorem: page 535, # 1-19

Here is the final extra credit assignment:
**XCHW # 4**

Here are the practice exercises for **Quiz # 7, Monday November 20:**

- Important Trig Identities:
- Angle Sums and Differences: pages 443-4, # 11-27 odd, and page 445, # 61-71 odd
- Double Angle and Half Angle Rules: page 452, # 1-25 odd, and page 453, # 43-53 odd
- Product-to-Sum and Sum-to-Product Rules: page 459, # 1-33 odd
- Section 7.1, the Law of Sines (know the basic equation)
- Section 7.2, the Law of Cos ines (know the basic equation)

Here are the practice exercises for **Quiz # 6, Monday November 13:**

- Trigonometric Identities, Equations, and Graphs:
- pages 420-1, # 1-25 odd
- page 422, # 65-75 odd (Preparation for Calculus II)
- page 432, # 1, # 3, # 5, # 11, # 15, # 17, # 21, # 23, # 31, # 33
- pages 433, # 43-49 odd, # 63-67 odd
- page 434, # 79 (Temperature distribution problem)
- page 383, # 7, # 13, # 19, # 25, # 27, # 41, # 43
- Be sure to know the definitions of frequency, period, amplitude, and phase shift.

Coming up next is **Test # 3: Transcendental Functions**, on Wednesday, November 13.

Part of the exercises for Chapter Four are listed below (for Quiz # 5).

Here is the rest of Chapter Four, plus exercises from Chapter Five:

- Exponential and Logarithmic Functions
- pages 295-6, # 57-75 odd
- page 313, # 1-7 odd, # 17-23 odd
- page 314, # 51, # 53, # 55
- Chapter Four Test on page 322

- Trigonometric Functions
- pages 331-2, # 5-13 odd, # 21-33 odd, # 39
- pages 346-7, # 3, # 5, # 7, # 13, # 15, # 17, # 19, # 23, # 25, # 27
- page 348, # 45-67 odd
- pages 363-4: Learn how to navigate the Unit Circle
- page 372, # 7-17 odd
- page 383, # 5-27 odd
- page 391, # 1-11 odd

Here is the third extra credit assignment:
**XCHW # 3**

Here are the practice exercises for **Quiz # 5, Weds October 25,**

on Exponential and Logarithmic Functions.

- Exercises from the first half of Chapter Four:
- pages 258-9, # 17-31 odd
- page 260, # 51, # 53
- page 269, # 1-13 odd
- pages 270-1, # 37-49 odd
- page 280, # 1-9 odd
- page 293, # 1-7 odd

In addition to the exercises listed below for Quizzes # 3 and 4,

here are the exercises to be practicing to get ready for our

**Mid-Term Exam, Weds October 11:**

- Rest of Chapter Three, plus sections 2.6 and 4.1:
- page 234, # 1-25 odd (Ratoinal Expressions)
- page 235, # 37, # 39, # 41, # 47, # 51, and # 59 on page 236
- pages 241-2, # 1-25 odd (Variation, with word problems)
- Chapter Three Review: pages 244-5, # 1-49 odd
- page 172, # 9-25 odd (Functional Composition)
- pages 258-9, # 3-39 odd (Functional Inverses)

Here is the second extra credit assignment:
**XCHW # 2**

Here are the practice exercises for **Quiz # 4, Weds October 4.**

The topics include Graphs of Polynomials; Factor Theorem, Remainder Theorem, and Synthetic Division;

Finding Rational, Real, and Imaginary Roots of Polynomials. (i.e., The Fundamental Theorem of Algebra)

- Exercises from the first half of Chapter Three:
- page 190, # 1-7 odd
- page 191, # 15-23 odd
- page 199, # 1-43 odd

**Note: It is very important to understand each part of**

every problem on this page (199) of the textbook - page 210, # 1-5 odd
- page 211, # 17-25, # 33-37
- page 219, # 11-27 odd

- Section 3.1

- Section 3.2

- Section 3.3

- Section 3.4

Practice Exercises for **Quiz # 3, Weds Sept 27,** include the problems from Chapter Ten listed below,

as well as these exercises from Section 2.6: page 160, # 5-25 odd

- Practice Exercises from Chapter Ten (Conic Sections):
- page 722, # 1-13 odd
- page 723, # 15, # 21, # 27, # 33, # 39
- page 724, # 57, # 59, # 63
- pages 734-5, # 1-13 odd, # 15-23 odd, # 33
- page 737, # 61, # 67
- page 746, # 1-15 odd, # 21-29 odd
- page 747, # 37-45 odd
- page 748, # 73, # 75, # 77

- The Parabola. (10.1)

- The Ellipse. (10.2)

- The Hyperbola. (10.3)

**Practice Exercises for Test # 1 - Monday, September 18
**

Exercises from Chapter Two:

(this is addition to the exercises already listed further down)

- page 132, # 15-31 odd (functions, domain and range)
- page 147, # 3-15 odd (graphs and symmetries)
- page 148, # 33-41 odd (coordinate transformations)

Test # 1 covers sections 1.1 through 2.5, so after you have

finished the ones posted here you can look over the review questions

and the chapter tests at the end of Chapters One and Two.

Exercises from Chapter Two:

(there are more exercises in the textbook than the ones listed below,

but the ones listed are the ones to make sure you know how to do

before taking Monday's quiz, which **also includes Absolute Value problems**

from Chapter One, as listed down below and reviewed in class)

- page 88, # 1-15 odd (the Cartesian coordinate system)
- page 102, # 1-7 odd (graphs in the xy-plane)
- Note: exercises # 25-43 on page 102 and # 49-55 on page 103

cover equations for**circles**, which are not on Quiz # 2

but**will**be on Test # 1) - pages 116-17, # 1-31 odd (Equations for Lines)

I would estimate that 40% of Quiz # 2 will cover absolute value problems

(from Chapter One), while 60% will cover equations for lines (from Chapter Two).

I know which problems I want you to look over from the rest of Chapter Two,

in order to get ready for Test # 1, and I will post those after Monday's quiz.

In the meantime, here is the (much anticipated) link to the first

**Extra Credit Homework Assignment:**
XCHW # 1

to replace a low or missing quiz score.

Handout on Arithmetic: Download Here

Exercises from Chapter One:

(look over two or three of each type of problem,

checking against the answers at the end of the textbook)

- page 25, # 1-25 odd (rules for exponents)
- pages 25-26, # 57-73 odd (reducing radicals)
- pages 38-39, # 35-45 odd (adding fractions)

Exercises for Labor Day Weekend:

- pages 52-53, # 1-9, # 25-35, # 49-57 (solving equations)
- page 73, # 1-11 odd (inequalities and intervals)
- pages 73-74 # 17-25, # 51, # 53 (absolute value problems)

When you've finished those, you can try some of the Chapter One Review Exercises,

mostly the ones on page 75 and a few from the top of page 76.

There is also a practice test on pages 79-80.

You have reached the bottom of the homework page.

Now scroll back up and make sure you can solve all the posted exercises.