College Algebra for STEM Majors Syllabus for 2014-2015
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Instructor Information
Instructor
Melody Swauger (Curriculum Vitae)Office Hours
Course Information
Recording Policy
Disability Statement
Any student who, because of a disabling condition, may require some special arrangements in order to meet course requirements should contact disAbility Services (Student Service Center room 119, phone 371-5436) as soon as possible.
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As a student you may experience a range of issues that can cause barriers to learning, such as strained relationships, increased anxiety, alcohol/drug problems, feeling down, difficulty concentrating and/or lack of motivation. These mental health concerns or stressful events may lead to diminished academic performance or reduce a student's ability to participate in daily activities. Amarillo College offers services to assist you with addressing these and other concerns you may be experiencing. If you or someone you know are suffering from any of the aforementioned conditions, you can learn more about the broad range of confidential mental health services available on campus by calling the AC Counseling Center at 806-371-5900. The AC Counseling Center website is https://www.actx.edu/counseling/ . Also, if you are in need of social services (affordable housing, utilities, transportation, food, clothing, childcare, medical/dental/vision, legal), please call the AC Advocacy & Resource Center at 806-371-5439. The AC Advocacy & Resource Center website is https://www.actx.edu/arc
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Course
MATH-1414-DC002 College Algebra for STEM Majors
Prerequisites
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
Course Description
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.
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Department Expectations
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Hours
(4 sem hrs; 4 lec)
Class Type
Dual Credit Course
Syllabus Information
Textbooks
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Supplies
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Attendance
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Calendar
Function Basics, Transformations, Curve Sketching, Solution Methods, Exponents and Logarithms, Analytic Geometry with Conics, There will be a comprehensive final exam for this course.
Function Basics (Weeks 1 and 2)
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
Transformations (Weeks 3 and 4)
Linear, Quadratic, Cubic, Absolute Value, Rational, Square Root, Semicircle, and Ceiling Parent Functions
Function transformations including horizontal stretch/shrink, vertical stretch/shrink, translation, reflection
Curve Sketching (Weeks 5 and 6)
Asymptotes—vertical, horizontal, end behavior
Sketching functions from critical attributes
Sketching rational functions
Sketching polynomial function characteristics from derivatives
Solution Methods (Weeks 7, 8, 9)
Solving systems review
Complex number review
Synthetic division review
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
Logarithmic & Exponential Functions (Weeks 10. 11. 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
Analytic Geometry and Conics (Summer Homework, Weeks 13 and 14)
Slope, Midpoint, Distance
Equations of lines secant and tangent lines
Average rate of change and secant lines
Conic and locus definitions of parabola, ellipse, and hyperbola,
Writing equations of conics
Sequence & Series (Weeks 15 and 16)
Arithmetic and Geometric Sequence & Series
Sigma and factorial notation
Limits
Expanding binomials with Pascal’s triangle and binomial theorem
Power series
Additional Information
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Syllabus Created on:
11/30/-1 12:00 AM
Last Edited on:
11/30/-1 12:00 AM