# Math 1314 College Algebra Brazosport College Fall 2010

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1 Math 1314 College Algebra Brazosport College Fall 2010 Instructor: Jeffrey A. Detrick, Department of Mathematics Office: B202 Phone: Office Hours: TBA Required Course Material Textbook: Sullivan. College Algebra, 8 th Edition. Prentice Hall, Graph Paper (Lots of it!) Scientific Calculator (Graphing Calculator ok, but not required) Access to a computer running Windows Media Player Course Description College Algebra will provide you with an opportunity to enhance your knowledge of algebra and to prepare you for future mathematics and science courses. It will also provide you with those three magical math credits you need. We will spend a great deal of time examining functions. This will include graphing techniques, function algebra, and inverse functions. We will apply this knowledge to linear, quadratic, exponential, and logarithmic functions. We will also spend time exploring other topics in algebra, including solutions to equations and inequalities, circles, complex numbers, and systems of equations. Course Outcomes Upon completion of the course, the student will be able to: 1. Find solution sets for compound open sentences. 2. Perform arithmetic operations with complex numbers. 3. Find all complex solutions to a polynomial equation. 4. Solve equations containing radicals. 5. Solve non-linear inequalities. 6. State the domain of a function in interval notation. 7. Graph a function using transformations. 8. Find the composition of two functions. 9. Verify if two given functions are inverses. 10. Classify a function as one-to-one and find the inverse of that function. 11. Find the slope, intercepts, and graph of a linear function. 12. Find the end behavior, intercepts and graph of a polynomial function. 13. Find the domain and graph of an exponential function. 14. Evaluate a log function and state the domain of a log function. 15. Use log properties to simplify an expression. 16. Solve exponential equations.

4 Semester Schedule and Work List The schedule below is a tentative list of work for the semester. While I intend to stick with this as closely as possible, it may change. Each class day will not be used for lecture. You are expected to watch the videos and complete the assigned problems outside of class. Class time will be used for further practice, cooperative learning, and questions/answer sessions. For each date list, watch the videos BEFORE you come to class. Week Topic Text Complete Before Class Assigned Problems Week 1 Course Orientation Sets of Real Complex Syllabus Handout Pages Purchase Textbook Lecture 1.1 (27 min) (page 132) Lecture 1.2 (15 min) Handout 1.1 Lecture 2.1 (27 min) 9 46 (page 116) Week 2 Labor Day Complex 1.3 Pages Pages Lecture 2.2 (17 min) 9 46 (page 116) Lecture 2.3 (14 min) Lecture 3.1 (16 min) (page 94) Week Pages Pages Pages Lecture 3.2 (12 min) Handout 3.2 Lecture 4.1 (19 min) Lecture 4.2 (19 min) Lecture 4.2 (19 min) Lecture 4.3 (25 min) 9 70 (page 106) 9 70 (page 106) Week 4 Rational Radical Polynomial Non- Inequalities 1.4 Pages Handout and 5.4 Lecture 6.1 (37 min) Lecture 6.2 (33 min) Lecture 5.1 (19 min) (page 95) 67 70; (page 107) Lecture 5.2 (9 min) 7 26 (page 122) Lecture 5.3 (27 min) (page 123) Handout (page 316) (page 373) Week 5 Exam 1 Lectures Introduction to 3.1 Pages Lecture 7.1 (29 min) Lecture 7.2 (19 min) (page 219) a-d only (p. 227) Week 6 Introduction to Graphing Graphing 3.1 Pages Handout (p ) Handout (p ) Lecture 7.2 (19 min) Handout 7.1 Lecture 7.3 (25 min) Lecture 8.1 (34 min) Handout ;35-44;53-60 (p. 261) Lecture 8.2 (37 min) Handout ;35-44;53-60 (p. 261) Week 7 Algebra Composition Inverse 3.1 Page Lecture 9.1 (23 min) Lecture 9.2 (15 min) Handout (page 220) 6.1 Lecture 9.3 (34 min) (page 407) Pages Lecture 10.1 (32 min) 17 22; Pages Lecture 10.2 (16 min) (page 419)

5 Week Topic Text Complete Before Class Assigned Problems Week 8 Review Day Catch our Breath Exam 2 Lectures Week Pages Pages Pages Lecture 11.1 (24 min) (page 146) (page 284) Lecture 11.2 (24 min) Handout 11.2 Lecture 12.1 (33 min) Lecture 12.2 (19 min) 11 32; (page 302) Week 10 Polynomial 4.3 Lecture 12.2 (19 min) 11 32; (page 302) Pages Lecture 12.3 (22 min) Handout 13.1 Lecture 13.1 (32 min) Handout Pages Lecture 14.1 (40 min) (page 433) Week 11 Log 6.4 Pages Log Properties 6.5 Pages Exam 3 Lectures Lecture 15.1 (22 min) Lecture 15.2 (21 min) Lecture 15.3 (26 min) Lecture 15.4 (15 min) 9 55; 63 70; a,b only (page 446) (page 457) Week 12 Applications 6.6 Lecture 16.1 (44 min) (page 463) Pages Handout 16.2 Lecture 16.2 (35 min) Handout 16.2 Week 13 Thanksgiving Break EAT, SLEEP, FOOTBALL Week 14 Log 6.6 Lecture 17.1 (29 min) 5 30 (page 463) Pages Log Applications Handout 17.2 Lecture 17.2 (14 min) Handout 17.2 Week 15 Circles 2.4 Pages Final Review Lecture 18.1 (27 min) 7 34 (page 193) Week 16 Final Comprehensive Day and Time TBA

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