College Algebra Syllabus for 2011-2012
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Course
MATH-1314-058 College Algebra
Prerequisites
MATH 0303-minimum grade of C, an Accuplacer score of 75, a THEA score of 270, an equivalent score on a state-approved test or Department Chair consent
Course Description
Study of quadratics; polynomial, rational, logarithmic and exponential functions; systems of equations; progressions, sequences and series; matrices and determinants.
Student Resources Student Resources Website
Department Expectations
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Hours
(3 sem hrs; 3 lec)
Class Type
Dual Credit Course
Syllabus Information
Textbooks
Precalculus: Mathematics for Calculus, fifth ed. Stewart et al, , 2006, Brooks Cole.
Supplies
Student Performance
Learning Objectives: After completing this course, the student will be able to demonstrate knowledge of the following topics as evaluated by the faculty in the department/program:
- Recognize, solve, and apply radical, absolute value, linear, quadratic, and rational equations
- Recognize, solve, and apply inequalities
- Recognize, solve, graph, and apply polynomial, rational, exponential, and logarithmic functions
- Explore functions, graphing techniques, operations of functions, composition of functions, and inverse functions.
- Evaluate all real roots of higher degrees of polynomials
- Recognize, solve, and apply systems of linear equations, including the use of matrices and matrix algebra
- Identify sequences and series, and calculate the sum of a sequence
Students Rights and Responsibilities
Student Rights and ResponsibilitiesLog in using the AC Connect Portal
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If you are an active staff or faculty member according to Human Resources, use "Exchange". All other students, use "AC Connect (Google) Email".
Expected Student Behavior
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Grading Criteria
GRADING:
75% of each six-weeks grade will be based on the following weights:
Homework: 1 grade
Quizzes: 2 grades
Tests: 3 grades
The remaining 25% will be from the comprehensive six-weeks exam.
Twenty five percent of each semester grade comes from the six-weeks grades. The remaining 25% will be from the comprehensive semester exam.
Quizzes are open-note and open book and will be unannounced. Tests will be closed book and closed-note. The full class period will be allotted to tests. A final exam will be given. All makeup quizzes and tests must be taken within one school day (not class period) of the student’s return. It is the student’s responsibility to schedule makeup work with the instructor.
An average of these grades will determine the final grade.
A: 90 – 100%
B: 80-89%
C: 70-79%
D: 60-69%
F: 59% or lower
Attendance
You are expected to attend every class. If you are going to miss a class, pick up the assignment ahead of time. The assignment will be due two class periods later. Excused absences due to illness will require that assignments missed are due the next class period. Assignments due on the date of the absence are due the first class period the student returns.
Calendar
Chapter 1 – Algebra Fundamentals
8/22 Intro to course; section 1.1;
HW: Read 1.1; p. 10 prob. (2,16,18),(22,26,28),74
8/23 Real Numbers and set theory section 1.1
HW: Read 1.2; p. 10 prob. (30,32,34),(36,38,40),(48,70)
8/24 Exponents & radicals section 1.2
HW: Read 1.3; p. 21 prob. (9,10,14),(22,34,40),(84,90,94)
8/25 Algebraic expressions section 1.3
HW: Read 1.4; p. 31 prob. (2,10,14),(30,48,50,55,60),(104,108)
8/26 Rational expressions section 1.4
HW: Read 1.5; p. 41 prob. (4,6,10,14,16),(32,40,56,68),(74,94)
8/29 Linear & Quadratic equations section 1.5
HW: Read 1.6; p. 55 prob. (4,20,24,32),(38,40,46,58,78),100,104
8/30 Algebraic modeling section 1.6
HW: Read 1.7; p. 68 prob. (12,14,32),(47,50,54),72,74
8/31 inequalities section 1.7
HW: Read 1.8; p. 84 prob. (4,8,18,26),(32,44,56,72,82),(88,100)
9/21 Algebra on coordinate plane section 1.8
HW: Read 1.9; p. 97 prob. (2,10,18,26),(32,44,64,82),(88,98,102)
9/2 Graphing calculators section 1.9
HW: Read 1.10; p. 109 prob. (6,8,16),(46,50,56),58
9/6 Algebra of lines section 1.10
HW: Read 1.11; p. 120 prob. (8,14,20,28),(46,50,60),(68,72)
9/7 modeling variation section 1.11
HW: p. 127 prob. (5,6,14),(24,28,32),36
9/8 Chapter Review
HW: p. 130-137
9/9 Chapter 1 Test
HW: Read 2.1
Chapter 2 Functions
9/12 Functions section 2.1
HW: Read 2.2; p. 155 prob. (4,8,14,26),(30,38,44,50,58),(62,65,75)
9/13 Function graphs section 2.2
HW: Read 2.3; p. 167 prob. (22,24,32),(48,54,64,74),84
9/14 Rate of change section 2.3
HW: Read 2.4; p. 179 prob. (2,10,14),(18,30),(34,38)
9/15 Transformations section 2.4
HW: Read 2.5; p. 190 prob. (9,16,20,32),(40,50,54,60),68,74
9/16 Maxima & minima of quadratics section 2.5
HW: Read 2.6; p. 200 prob. (2,12,24),(32,40,42,50),60,64
9/19 Modeling section 2.6
HW: Read 2.7; p. 210 prob. (2,3,6),(12,14,23),34
9/20 Composition of functions section 2.7
HW: Read 2.8; p. 219 prob. (2,10,12,17),(20,30,33,42,45,48),62
9/21 one-to-one functions section 2.8
HW: p. 230 prob. (2,8,18,23),(34,43,52,64),73
9/22 Chapter Review
HW: p. 233-238
9/23 Chapter 2 Test
HW: Read 3.1
9/26: Review for six-weeks test
9/27: Six weeks test
Chapter 3 Polynomials and Rational Functions
9/28 Graphing polynomials section 3.1
HW: p. 262 prob. (2,5-10),(12,16,24,26),30
9/29 Graphing Polynomials and end behavior section 3.1
HW: Read 3.2; p. 262 prob. (38,42,46),(58,68,73),78
9/30 Polynomial Division section 3.2
HW: p. 270 prob. (2,4,8),(12,14,22),24
10/3 Polynomial Division section 3.2
HW: Read 3.3; p. 270 prob. (32,36,40),(52,56,60),64
10/4 Real polynomial zeros section 3.3
HW: p. 279 prob. (4,8,12),(18,22,34),(42,48)
10/5 Real polynomial zeros and Descartes’ rule of signs section 3.3
HW: Read 3.4; p. 280 prob. (60, 62,68),(70,76,78),(88,96)
10/6 Complex numbers section 3.4
HW: Read 3.5; p. 289 prob. (10,14,20),(24,26,32,42),(60,64)
10/7 Fundamental theorem of Algebra section 3.5
HW: Read 3.6; p. 298 prob. (2,18,30),(33,42,58,60),(66,68)
10/11 Rational Functions section 3.6
HW: p. 312 prob. 2,5,11-14 work ALL
10/12 Asymptotes of Rational Functions section 3.6
HW: p. 312 prob. (20,24,32),(38,46,50,58),76,78
10/13 Chapter Review
HW: p. 316-319
10/14 Chapter 3 Test
HW: Read 4.1
Chapter 4 Exponential and logarithmic functions
10/17 Exponential functions section 4.1
HW: p. 336 prob. (4, 6,12),(16,18,19-24),28
10/18 Natural base and applications section 4.1
HW: read 4.2; p. 337 prob. (36,38,40),(46,66,68),80
10/19 logarithmic functions section 4.2
HW: p. 349 prob. (2,5,10,14),(16,20,22,24),78
10/20 log applications section 4.2
HW: read 4.3; p. 350 prob. 60,68,70,80,83 WORK ALL
10/21 log laws section 4.3
HW: p. 356 prob. (4, 7,10),(16,22,24,32),64
10/24 Solving Exponential equations section 4.4
HW: p. 366 prob. (4,6,11),(19,26,34),68
10/25 Solving logarithmic equations section 4.4
HW: read 4.5; p. 367 prob. (36,42,50),(54,58,59),76
10/26 Modeling with exponentials and logarithms section 4.5
HW: p. 379 prob. (1,2,8,12),(14,22,24),(28,34)
10/27 Chapter review
HW: p. 382-385
10/28 Chapter 4 Test
HW: Read 9.1
10/31 Review for Midterm
11/1 Midterm (six weeks) exam
Chapter 9 Systems of Equations and inequalities
11/2 Solving 2-variable systems section 9.1
HW: Read 9.2; p. 642 prob. (2,12,19),(26,31,32),(51,53)
11/3 linear systems and number of solutions section 9.2
HW: Read 9-3; p. 649 prob. (4,9,24,34),(36,40,46),(48,52)
11/4 systems with more than two variables section 9.3
HW: read 9.4; p. 657 prob. (1,4,8,11),(14, 21,24),(34,36)
11/7 Matrices –solving section 9.4
HW: read 9.5; p. 673 prob. (2,5,6,10),(14,20,24,30,38),50
11/8 Matrix algebra section 9.5
HW: p. 684 prob. (2,6,13),(18,24,36, 42),50
11/9 matrix inverses section 9.6
HW: read 9.7; p. 697 prob. (3,6,10),(17,22,25),36
11/10 Determinants & cramer’s rule section 9.7
HW: read 9.9; p. 713 prob. (3,17,24),(28,34,36),56
11/11 Early Release Day
11/14 Chapter Review
HW: p. 728-734
11/15 Chapter Test
HW: read 11.1
Chapter 11 Sequences and Series
11/16 Summation notation section 11.1
HW: Read 11.2; p. 830 prob. (2,12,18),(24,40,44,60,66),72
11/17 Arithmetic sequences section 11.2
HW: Read 11.3; p. 837 prob. (2,6,14),(40,48,54),(58,62)
11/18 Geometric sequences section 11.3
HW: p. 844 prob. 2,8,10,14,34 WORK ALL
11/21 Geometric sequences section 11.3
HW: read 11.4; p. 844 prob. 40,46,64,70,74 WORK ALL
11/22 Financial Math section 11.4
HW: read 11.5; p. 853 prob. 2,6,12,16,18,24 WORK ALL
11/28 Mathematical induction section 11.5
HW: Read 11.6p. 859 prob. 24,28,36 WORK ALL
11/29 Binomial theorem section 11.6
HW: p, 868 prob. 2,4,10,14,20 WORK ALL
11/30 Binomial theorem section 11.6
HW: p, 868 prob. (22,26,30),(32,40,48),52
12/1 Chapter Review
HW: p. 870-873
12/2 Chapter Test
HW: relax
12/2 & 12/3 TBA
12/5 & 12/6 & 12/7 semester review
Study for semester exam
12/8 semester exam
Additional Information
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Syllabus Created on:
11/30/-1 12:00 AM
Last Edited on:
11/30/-1 12:00 AM