University of Memphis

Dept Math Sciences

MATH 1730 – Pre-Calculus

Fall 2018

Dwiggins

**
Our Final Exam is on Tuesday, December 11, 10:30 a.m. - 12:30 p.m.**

The questions will be similar to those from the quizzes and tests.

Extra Credit Homework Assignment:
**XCHW # 4** (Due Friday December 7)

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

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

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

- 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

**Practice Exercises for Quiz # 7 - Friday, November 16
**

- Chapter Six: Analytic Trigonometry
- Inverse Trig Functions: pages 471-2, # 1-33 odd
- Angle Sums and Differences: pages 443-4, # 11-27 odd,

and # 61-71 on page 445 - Double Angle and Half Angle Rules: page 452, # 1-25 odd,

and # 43-53 on page 453 - Product-to-Sum and Sum=to-Product Rules: page 459, # 1-33 odd

**Test # 3 - Thursday, November 8
**

In addition to the exercises listed below for quizzes 5 and 6,

work on the following from sections 6.1-2 (Trig Identities and Equations):

- pages 420-21, # 1-15
- page 432, # 3-17

**Online Lecture: Angles and Angular Measure**

Extra Credit Homework Assignment:
**XCHW # 3** (Due Friday November 16)

**Practice Exercises for Quiz # 6 - Friday, November 2
**

- Chapter Five: Trigonometric Functions
- pages 331-2, # 5-13, # 21-33, # 39
- pages 346-7, # 3, # 5, # 7, # 13, # 15, # 17, # 19, # 23, # 25, # 27
- page 348, # 45-67 odd
- page 372, # 7-17 odd
- page 383, # 5-27 odd
- page 391, # 1-11 odd

**Practice Exercises for Quiz # 5 - Friday, October 26
**

- Chapter Four: Exponential and Logarithmic Functions
- pages 258-60, # 17-31 odd, # 51, # 53
- pages 269-71, # 1-13 odd, # 37-49 odd
- page 280, # 1-9 odd
- page 293, # 1-17 odd
- pages 295-6, # 57-75 odd
- page 303, # 13-25 odd
- pages 313-4, # 1-7 odd, # 17-23 odd, # 51, # 53, # 55
- Chapter Four Test on page 322

Extra Credit Homework Assignment:
**XCHW # 2** (Due Friday October 19)

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, Thursday October 11:**

- Rest of Chapter Three, plus sections 2.6 and 4.1:
- page 234, # 1-25 odd (Rational 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 are the practice exercises for **Quiz # 4, Friday October 5.**

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 - Friday, September 28
**

- page 102, # 49-55 odd (equations for circles)
- page 160, # 5-25 odd (quadratic functions)
- page 722, # 1-13 odd (geometry of the parabola)
- page 172, # 9-17 odd (functional composition)

Extra Credit Homework Assignment:
**XCHW # 1** (Due Thursday October 4)

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

Exercises from Chapter Two:

(this is addition to the exercises already listed for the quizzes)

- 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).

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.