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MATH-1414-DC014 College Algebra for STEM Majors
Prerequisite: 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
In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices. Additional topics such as sequences, series, probability and conics may be included.
Student Resources Student Resources Website
(4 sem hrs; 4 lec)
Dual Credit Course
TEXTBOOK: Precalculus: Graphical, Numerical, Algebraic, Demana, Waits, Foley, Kennedy, Seventh Edition, Addison Wesley Publishers
REQUIRED MATERIALS: graphing calculator, quad-ruled composition book, pencil, highlighter
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:
1. Demonstrate and apply knowledge of properties of functions, including domain and range, operations, compositions, and inverses.
2. Recognize and apply polynomial, rational, radical, exponential and logarithmic functions and solve related equations.
3. Apply graphing techniques.
4. Evaluate all roots of higher degree polynomial and rational functions.
5. Recognize, solve and apply systems of linear equations using matrices.
In order to receive your AC Connect Email, you must log in through AC Connect at https://acconnect.actx.edu .
If you are an active staff or faculty member according to Human Resources, use "Exchange". All other students, use "AC Connect (Google) Email".
Students are expected to follow the Randall High School Student Code of Conduct.
DAILY WORK: Practice is assigned daily and key is posted online. Practice is essential for building confidence!
QUIZZES: There will be a short quiz over the daily work every day.
TESTS: There will be 8 major unit tests and a comprehensive final.
GRADING: Final average will be computed based on 20% daily quizzes, 60% tests, and 20% final exam.
LETTER GRADES: 90-100 is an A, 80-89 is a B, 70-79 is a C, 60-69 is a D, 59 or less is an F.
Units for this course are Prerequisites, Solving Equations and Inequalities, Function Basics, Transformations, Curve Sketching, Exponents and Logarithms, Analytic Geometry with Conic Sections,
The comprehensive final exam for this course will be given on the last regularly scheduled class day at Randall High School. Last day to drop at Amarillo College is November 22, 2016.
Prerequisites (Aug 22-Sept 2)
Factoring
Operations on rational expressions
Complex numbers
Matrix operations
Synthetic division
Slope and linear equations
Solution Methods (Sept 6 – 16)
Solving systems of linear equations (including Guassian elimination)
Finding solutions (real and imaginary) to quadratic, rational, radical, absolute value, and higher order polynomial equations
Writing equations from solutions
Separate fractions by using the technique of partial fractions
Solving equations generated from calculus procedures
Solving mixture, job, and other application questions
​Function Basics (Sept 19 – Sept 30)
Domain, range, function notation, interval notation
Function operations from graph and formula
Finding inverse functions
Increasing/decreasing functions, concavity
Finding zeros
Piecewise functions
Odd/even functions
Parametric equations
Transformations (Oct 3 – 14)
Linear, Quadratic, Cubic, Absolute Value, Rational, Square Root, Semicircle, and Ceiling Parent Functions
Function transformations including horizontal stretch/shrink, vertical stretch/shrink, translation, reflection, absolute value
Curve Sketching (October 17 – 28)
Asymptotes—vertical, horizontal, end behavior
Sketching functions from critical attributes
Sketching rational functions
Sketching polynomial function characteristics from derivatives
Logarithmic & Exponential Functions (Oct 31 – Nov 22)
Exponent rules and scientific notation
Conversion between exponential and logarithmic forms
Rules of logarithms
Solving logarithmic and exponential equations
Applications of exponential and logarithmic equations including compound interest, exponential growth/decay,Newton’s Law of Cooling
Mathematical Modeling (Nov 28– Dec 2 )
Data collection
Association versus causation
Linear regression correlation coefficient
Methods for choosing regression model
Analytic Geometry and Conic Sections (Dec 5 – 16)
Midpoint and distance
Equations of secant and tangent lines
Average rate of change and secant lines
Conic and locus definitions of circle, parabola, ellipse, and hyperbola,
Writing equations of conics
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