RANGER COLLEGE
Math 1314 College Algebra
Master Syllabus
PREPARED BY: Dr. John
Gresham
jgresham@rangercollege.edu
www.rangercollege.edu/math
COURSE DESCRIPTION: A study
of the elementary functions: linear, quadratic, polynomial,
rational, radical, exponential, logarithmic, sequences. Graphing,
solving equations, solving inequalities, and applications of
these functions. Solving systems of equations and matrix algebra.
Introduction to conic sections.
COURSE CREDIT: 3 semester hours—3 lecture hours per week
TEXT: College Algebra, Graphs and Models, 3rd Edition , by
Barnett, et al
OTHER REQUIRED MATERIALS: graphing calculator (TI-83 or -84
strongly recommended), graph paper.
PREREQUISITES: Passing the math portion of the THEA test and two
years of high school algebra or completion of the developmental
math sequence as described in the Ranger College Developmental
Education Plan.
INSTRUCTIONAL METHODS: Class lecture, cooperative learning and
problem-solving, interactive web pages
EXEMPLARY OBJECTIVES SUPPORTED BY THIS COURSE
The purpose of these objectives is to contribute to your
intellectual and personal growth and assist you in understanding
and appreciating not only your heritage, but also to prepare you
for responsible citizenship and provide you the ability to adapt
to a rapidly changing and highly technological world.
M1. To apply arithmetic, algebraic, geometric, higher-order
thinking, and statistical methods to modeling and solving
real-world problems
M2. To represent and evaluate basic mathematical information
verbally, numerically, graphically, and symbolically
M3. To expand mathematical reasoning skills and formal logic to
develop convincing mathematical arguments
M4. To use appropriate technology to enhance mathematical
thinking and understanding and to solve mathematical problems and
judge the reasonableness of the results
M5. To interpret mathematical models such as formulas, graphs,
tables, and schematics, and draw inferences from them
M6. To recognize the limitations of mathematical and statistical
models
M7. To develop the view that mathematics is an evolving
discipline, interrelated with human culture, and understand its
connections to other disciplines
COLLEGE ALGEBRA COURSE OBJECTIVES: To be able to demonstrate
these skills in writing:
1. Graphing relations, functions and inverses in the plane (M1,
M2, M5)
2. Solving linear and quadratic equations (M2, M3, M4, M6)
3. Solving linear and non-linear inequalities (M2, M3, M4, M6)
4. Graphing quadratic and higher-degree polynomial functions;
finding zeros of polynomial functions (M1, M4, M5, M6, M7)
5. Solving systems of linear equations; applying matrix algebra
in solving linear systems (M1, M4)
6. Graphing and solving equations with exponential and
logarithmic functions (M1, M2, M4, M5, M6, M7)
7. Graphing rational functions and conic sections (M1, M4)
8. Modeling and problem solving with sequences (M1, M7)
COURSE CALENDAR (15 weeks plus final) Suggested timetable
(subject to change). The problem set for each section is listed
with the section. Instructions in bold print over-ride and
replace the book’s instructions.
Week | Sections | Suggested Problems |
1 | 1-2 Functions | #11,14,16,17-22, 29, 30, 41, 44, 45 |
1-3 Functions: Graphs and Properties | #43 | |
1-4 Functions: Graphs and Transformations | #6, 42, 56, 60 | |
2 | 1-5 Operations on Functions: Composition | #11, 12, 44 |
1-6 Inverse Functions | #19, 57,72 | |
2-1 Linear Functions | #18, 57, 70 | |
2-2 Linear Equations | #30 | |
3 | 2-3 Quadratic Functions | #20-22, 32 |
2-4 Complex Numbers | #22, 35, 44 | |
2-5 Quadratic Equations and Models | #16, 18, 30, 39 (solve approx to 3 decimal places) | |
4 | 2-6 Additional Equation-Solving Techniques | #33, 27 |
2-7 Solving Inequalities | #26, 59, 60 | |
5 | Test 1 (chapters 1 & 2) | |
3-1 Polynomial Functions and Models | #31, 48 | |
6 | 3-2 Polynomial Division | #18, 24, 44, 62, 66 |
3-4 Complex Zeros and Rational Zeros of Polynomials | #15, 22, 24, 31, 44, 47, 53, 58, 76 | |
3-3 Real Zeros and Polynomial Inequalities | #10, 52 (use calc, solve approx. to 3 decimal places) | |
7 | 3-5 Rational Functions and Inequalities | #7-10, 44, 62, 88 |
4-1 Exponential Functions | #8, 88 | |
4-2 Exponential Models #20-22 | #20-22 | |
8 | 4-3 Logarithmic Functions | #8, 14, 58, 59, 64, 85 |
4-4 Logarithmic Models | #6A, 10, 19 | |
9 | Test 2 (chapters 3 & 4) | |
4-5 Exponential and Logarithmic Equations | 4.1 #46; 4.5 #14, 16, 28, 78, 88 (use cmpd monthly) | |
10 | 5-1 Systems of Linear Equations in Two Variables | #7-10, 20 (use subst), 24, 32, 45 (show setup) |
6-1 Systems of Linear Equations and Augmented Matrices | #34, 42, 44 (use rref) | |
6-2 Matrix Operations | #14, 25, 37,38, 48 | |
11 | 6-5 Determinants | #8, 26, 38 (use calc) |
6-3 Inverse of a Square Matrix | #30, 32, 40 (fraction form, use calc) | |
6-4 Matrix Equations and Systems of Linear Equations | #26, 32, 39, 40 (use rref) | |
12 | Test 3 (chapters 4-5, 5 & 6) | |
Appendix B-3 Circles | #14, 32, 41, 52 | |
13 | 8-1 Conic Sections; Parabola | #8, 38, 48, find vertex and focus of y^2+12x-10y+37=0 |
8-4 Nonlinear Systems | #8, 14, 22, 40 | |
7-1 Sequences and Series | #22, 28, 40, 16 (also calculate the sum) | |
14 | 7-3 Arithmetic and Geometric Sequences | #8, 10, 16, 19, 58, 68 |
7-6 Binomial Formula | #18, 28, 34, 40 | |
15 | Test 4 (chapters 7 & 8) | |
16 | Review | |
Final exam |