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Algebra with Trigonometry for College Students

TESTING GUIDELINES:

A minimum of the following exams should be scheduled:

1. A one-hour exam at end of 1st quarter
2. A two-hour midterm at end of 2nd quarter
3. A one-hour exam at end of 3rd quarter
4. A two-hour final

B. Scientific calculators with logarithms and trigonometric functions are required.
Mathematics Department recommends the following calculators:

CASIO FX 115 SHARP EL-506A or 509H

MA275 (formerly MA185) COURSE OUTLINE FOR:
ALGEBRA WITH TRIGONOMETRY for College Students, 3rd ed.
I. Rational Expressions 2 sessions
Chapter Pages Homework
Adding and Subtracting
Rational Expressions
Chapter 4, Section 4.3 pages 168-175
 
p.175: 15-23, 27-39,
49-57 odd, 63
B. More on Rational Expressions
and Complex Fractions
Chapter 4, Section 4.4 pages 177-184
 
p.184: 1,5,9,11,13,
15,21, 37-49 odd
C. Fractional Equations
 
Chapter 4, Section 4.6 pages 191-195
 
p.197: 1-11,
21-31 odd
D. More Fractional Equations
and Applications
Chapter 4, Section 4.7 pages 200-202
 
p.206: 1-11 odd
 
II. Exponents and Radicals 3 1/2 sessions
A. Using Integers as Exponents
 
Chapter 5, Section 5.1 pages 214-218
 
p.219: 1,2,3,4, 15-25,
29-35, 43-69 odd
B. Roots and Radicals
 
Chapter 5, Section 5.2 pages 220-227
 
p.228: 1-15, 21-35,
39-59 odd
C. Combining Radicals and
Simplifying Radicals Containing Variables
Chapter 5, Section 5.3 pages 229-233
(omit examples
3 and 5, 5e)
p.233: 1-15, 21-35, 41-
47, 65-71 odd
 
D. Products and Quotients Involving Radicals Chapter 5, Section 5.4 pages 235-239
(omit example 2d)
p.239: 1-9, 15-23, 31-35,
43-47, 53-71 odd
E. Equations Involving Radicals
 
Chapter 5, Section 5.5 pages 241-244 (omit examples 5 and 6) p.244: 1-17 odd,
31-38 all
F. The Merging of
Exponents and Roots
Chapter 5, Section 5.6 pages 245-249
 
p.249: 1-15, 31-35, 45-
51, 59-73 odd
ADMINISTER FIRST EXAMINATION   1/2 session
MA275 - Kaufmann -3rd edition    
III. Quadratic Equations 4 sessions
A. Complex Numbers
 
Chapter 6, Section 6.1 pages 261-268 (include) p.268: 9-19, 27-37, 43-
53, 61-79, 85-91 odd
B. Quadratic Equations
 
Chapter 6, Section 6.2 pages 270-274
(omit example 2)
p.277: 5-17, 37-45,
53,55,59,61 odd
C. Completing the Square
 
Chapter 6, Section 6.3 pages 278-281
 
p.281: 1-9, 15-23, 27-31
odd, 33-38 all, 39-51 odd
D. The Quadratic Formula
 
Chapter 6, Section 6.4 pages 282-289 (Derive the quadratic formula) p.289: 3-7, 11-23,
51-57 odd
E. More Quadratic
Equations and Applications
 
Chapter 6, Section 6.5 pages 290-293
(omit example 4)
 
p. 298: 1- 7, 21-29,
49,50,51,53 p. 309:
39,41 p. 149: 59,67
F. Graphing Parabolas
 
Chapter 7, Section 7.4 pages 340-347
 
p.347: 1-7, 11-17,
23-27 odd
G. More Parabolas
 
Chapter 7, Section 7.5 pages 347-350
(omit example 5)
p.354: 1-17 odd
 
IV. Systems of Equations 4 sessions
A. Systems of Two Linear
Equations in Two Variables , The Substitution Method
Chapter 11, Section 11.1 pages 516-522 (omit example 4 and problem 2)
 
p.522: 11-15 odd, 19, 25-
29 odd, 37,38,45,47,48
 
B. The Elimination -by-Addition
Method
Chapter 11, Section 11.2, pages 524-531
 
p.531: 1-9 odd, 15-27 odd
p.64: 41,42,44,48
C. Systems of three Linear
Equations in Three Variables
Chapter 11, Section 11.3 pages 535-541 (omit examples 5, 6) HW p.542:
1-5, 11-17 odd
MA275 - Kaufmann -3rd edition    
D. Determinants and Cramer's
Rule
Chapter 12, Sections 12.3 and 12.4 pages 582-595 p.587: 21-35 odd, p.594:
11-29 odd
E. System involving
Nonlinear Equations
Chapter 11, Section. 11.4 pages 544-547 (without graphing) p.551: 1-9 (part b) odd,
13 and 15 (part b), 39
ADMINISTER MIDTERM   1 session
V. Basic Concepts of Trigonometry 5 sessions
A. A Brief Review of
Some Geometric Concepts
Chapter 14, Section 14.1 pages 636-645
 
P.645: 27,30,33,35
 
B. Radian Measure Chapter 14, Section 14.2 pages 646-650 p.652: 1-23 odd
C. Trigonometric Functions
 
Chapter 14, Section 14.3 pages 654-663
 
p.663: 1-7, 17-21,
20,35, 39-47 odd
D. Trigonometric Functions
of Any Angle
Chapter 14, Section 14.4 pages 665-674
 
p.674: 1-9, 13-21,
25-47, 51-63 odd
E. Right Triangle Trigonometry
 
Chapter 14, Section 14.5 pages 675-684
 
p.684: 1-11,
17-21, 27,28,30
F. Solving oblique Triangles -
Law of Cosines
Chapter 1.4, Section 14.6 pages 686-691
 
p.691: 1-15 odd
 
G. Law of Sines Chapter 14, Section 14.7 pages 694-702 p.702: 1-11 odd, 15
VI. Trigonometric Identities and Equations 5 sessions
A. Trigonometric Identities
 
Chapter 16, Section 16.1 pages 746-753
 
p.753: 3-7, 13-17 odd,
25-33, 41-47, 51-55 odd
B. Trigonometric Equations

 

Chapter 16, Section 16.2 pages 755-759

 

p.759: 1-5, 6, 9-13,
17-29, 35-41,
53-57, 65-69 odd
MA275 - Kaufmann -3rd edition    
ADMINISTER THIRD EXAM   1/2 session
C. Sum and Difference Formula
 
Chapter 16, Section 16.3 pages 760-768 (omit example 7) p.768: 1-19, 27-35 odd
 
D. Multiple and Half -Angle
Formulas

 

 

 

Chapter 16, Section 16.4 pages 770-777

 

 


 

p.777: 1-3, 21-25,
29-35, 39-45, 49-57
odd (Add problems
like sin 2x = -1/2,
cos 3y = square
root of (3) Tan A/2
= square root
of ( 3) etc.)
VII. Logarithmic Functions 2 sessions
A. Exponents
 
Chapter 10, Section 10.1 pages 467-473 (examples 1-5 only) p. 473 1-9, 13-25 odd
 
B. Logarithms
 
Chapter 10, Section 10.3 pages 485-492
 
p.492: 1-35, 41-65, 69-
85 odd
C. Logarithmic Functions
 
Chapter 10, Section 10.4 pages 497-499 (omit natural logarithms) p.497: 1-19 all
 
D. Exponential Equations
 
Chapter 10, Section 10.5 pages 502-509 (examples 1, 11) p.509: 1-10, 43-47
 
E. Compound Interest
 
10.2 only ex 1, 10.5 ex 7
 
p.482: 3-9 odd, 25
p.509: 43-47 all
FINAL EXAMINATION 1 session
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