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Algebra with Trigonometry for College Students
TESTING GUIDELINES:
A minimum of the following exams should be scheduled:
1. A onehour exam at end of 1st quarter
2. A twohour midterm at end of 2nd quarter
3. A onehour exam at end of 3rd quarter
4. A twohour final
B. Scientific calculators with logarithms and trigonometric functions are
required.
Mathematics Department recommends the following calculators:
CASIO FX 115 SHARP EL506A 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 168175 
p.175: 1523, 2739, 4957 odd, 63 
B. More on Rational Expressions and Complex Fractions 
Chapter 4, Section 4.4 pages 177184 
p.184: 1,5,9,11,13, 15,21, 3749 odd 
C. Fractional Equations 
Chapter 4, Section 4.6 pages 191195 
p.197: 111, 2131 odd 
D. More Fractional Equations and Applications 
Chapter 4, Section 4.7 pages 200202 
p.206: 111 odd 
II. Exponents and Radicals  3 1/2 sessions  
A. Using Integers as Exponents 
Chapter 5, Section 5.1 pages 214218 
p.219: 1,2,3,4, 1525, 2935, 4369 odd 
B. Roots and Radicals 
Chapter 5, Section 5.2 pages 220227 
p.228: 115, 2135, 3959 odd 
C. Combining Radicals and Simplifying Radicals Containing Variables 
Chapter 5, Section 5.3 pages 229233
(omit examples 3 and 5, 5e) 
p.233: 115, 2135, 41 47, 6571 odd 
D. Products and Quotients Involving Radicals  Chapter 5, Section 5.4 pages 235239
(omit example 2d) 
p.239: 19, 1523, 3135, 4347, 5371 odd 
E. Equations Involving Radicals 
Chapter 5, Section 5.5 pages 241244 (omit examples 5 and 6)  p.244: 117 odd, 3138 all 
F. The Merging of Exponents and Roots 
Chapter 5, Section 5.6 pages 245249 
p.249: 115, 3135, 45 51, 5973 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 261268 (include)  p.268: 919, 2737, 43 53, 6179, 8591 odd 
B. Quadratic Equations 
Chapter 6, Section 6.2 pages 270274
(omit example 2) 
p.277: 517, 3745, 53,55,59,61 odd 
C. Completing the Square 
Chapter 6, Section 6.3 pages 278281 
p.281: 19, 1523, 2731 odd, 3338 all, 3951 odd 
D. The Quadratic Formula 
Chapter 6, Section 6.4 pages 282289 (Derive the quadratic formula)  p.289: 37, 1123, 5157 odd 
E. More Quadratic Equations and Applications 
Chapter 6, Section 6.5 pages 290293
(omit example 4) 
p. 298: 1 7, 2129, 49,50,51,53 p. 309: 39,41 p. 149: 59,67 
F. Graphing Parabolas 
Chapter 7, Section 7.4 pages 340347 
p.347: 17, 1117, 2327 odd 
G. More Parabolas 
Chapter 7, Section 7.5 pages 347350
(omit example 5) 
p.354: 117 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
516522 (omit example 4 and problem 2) 
p.522: 1115 odd, 19, 25 29 odd, 37,38,45,47,48 
B. The Elimination byAddition Method 
Chapter 11, Section 11.2, pages
524531 
p.531: 19 odd, 1527 odd p.64: 41,42,44,48 
C. Systems of three Linear Equations in Three Variables 
Chapter 11, Section 11.3 pages 535541 (omit examples 5, 6)  HW p.542: 15, 1117 odd 
MA275  Kaufmann 3rd edition  
D. Determinants and Cramer's Rule 
Chapter 12, Sections 12.3 and 12.4 pages 582595  p.587: 2135 odd, p.594: 1129 odd 
E. System involving Nonlinear Equations 
Chapter 11, Section. 11.4 pages 544547 (without graphing)  p.551: 19 (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
636645 
P.645: 27,30,33,35 
B. Radian Measure  Chapter 14, Section 14.2 pages 646650  p.652: 123 odd 
C. Trigonometric Functions 
Chapter 14, Section 14.3 pages
654663 
p.663: 17, 1721, 20,35, 3947 odd 
D. Trigonometric Functions of Any Angle 
Chapter 14, Section 14.4 pages
665674 
p.674: 19, 1321, 2547, 5163 odd 
E. Right Triangle Trigonometry 
Chapter 14, Section 14.5 pages
675684 
p.684: 111, 1721, 27,28,30 
F. Solving oblique Triangles  Law of Cosines 
Chapter 1.4, Section 14.6 pages
686691 
p.691: 115 odd 
G. Law of Sines  Chapter 14, Section 14.7 pages 694702  p.702: 111 odd, 15 
VI. Trigonometric Identities and Equations  5 sessions  
A. Trigonometric Identities 
Chapter 16, Section 16.1 pages
746753 
p.753: 37, 1317 odd, 2533, 4147, 5155 odd 
B. Trigonometric Equations

Chapter 16, Section 16.2 pages
755759

p.759: 15, 6, 913, 1729, 3541, 5357, 6569 odd 
MA275  Kaufmann 3rd edition  
ADMINISTER THIRD EXAM  1/2 session  
C. Sum and Difference Formula 
Chapter 16, Section 16.3 pages 760768 (omit example 7)  p.768: 119, 2735 odd 
D. Multiple and Half Angle Formulas

Chapter 16, Section 16.4 pages
770777

p.777: 13, 2125, 2935, 3945, 4957 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 467473 (examples 15 only)  p. 473 19, 1325 odd 
B. Logarithms 
Chapter 10, Section 10.3 pages
485492 
p.492: 135, 4165, 69 85 odd 
C. Logarithmic Functions 
Chapter 10, Section 10.4 pages 497499 (omit natural logarithms)  p.497: 119 all 
D. Exponential Equations 
Chapter 10, Section 10.5 pages 502509 (examples 1, 11)  p.509: 110, 4347 
E. Compound Interest 
10.2 only ex 1, 10.5 ex 7 
p.482: 39 odd, 25 p.509: 4347 all 
FINAL EXAMINATION  1 session 
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