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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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