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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