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MATH-1414-DC003 College Algebra for STEM Majors
Prerequisite:Scores on a state-approved test indicating college-level math skills Corequisite: MATH 0315
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 ResourcesStudent Resources Website
Notice to Students enrolled in an educational program for preparation of issuance of certain occupational licenses:
Students enrolled in an educational program in preparation for obtaining certain occupational licenses are potentially ineligible for such license if the student has been convicted of an offense. For further information, please contact:
Melodie Graves
Justice Involved Advocate
Student Service Center 117
mgraves24@actx.edu
806-371-5995
Make appointment at https://melodiegraves.youcanbook.me
You can also contact the Legal Clinic, or the faculty member in charge of the educational program that you seek to enroll in. The further information you will receive will include notification to you of your right to request a criminal history evaluation letter from the licensing authority in order to clarify your particular situation.
(4 sem hrs; 4 lec)
Dual Credit Course
None
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.
The following Developmental Math topics will be imbedded in this College Algebra/STEM course: Factoring; Rules for Exponents; Factor expansion: distribution, foil, conjugates; Completing the Square; Complex Numbers; Rational Numbers: operations; and other topics as needed.
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 Ascension Academy Student Code of Conduct.
DAILY WORK: Practice is assignment daily and due the next class period.
QUIZZES: One to two unannounced quizzes will be give each unit.
TESTS: There will be 7 major unit tests and a comprehensive final.
GRADING: Daily work average = 30%, Test average = 50%, Final Exam = 20%
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 according to the Ascension Academy exam schedule. Last day to drop at Amarillo College is November 23, 2021.
Prerequisites (Aug 16-Aug 27)
Factoring
Operations on rational expressions
Complex numbers
Matrix operations
Synthetic division
Slope and linear equations
Solution Methods (Aug 30 – Sept 10)
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 13 – Sept 24)
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 (Sept 27 – Oct 8)
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 11 – 22)
Asymptotes—vertical, horizontal, end behavior
Sketching functions from critical attributes
Sketching rational functions
Sketching polynomial function characteristics from derivatives
Logarithmic & Exponential Functions (Oct 25 – Nov 12)
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 15– 19 )
Data collection
Association versus causation
Linear regression correlation coefficient
Methods for choosing regression model
Analytic Geometry and Conic Sections (Nov 29 – Dec 10)
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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