College Algebra for STEM Majors Syllabus for 2013-2014
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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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Course
MATH-1414-DC002 College Algebra for STEM Majors
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
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
Algebra Prerequisites, Function Basics, Transformations, Curve Sketching, Solution Methods, Exponents and Logarithms, Series and Sequence
The comprehensive final exam for this course will be given on the scheduled exam date for Ascension Academy.
Algebra Prerequisites (Weeks 1 and 2)
Completing the square
Factoring
Slope
Midpoint
Distance
Equations of lines
Conics and Systems (Weeks 3 and 4)
Conic and locus definitions of parabolas, ellipses, hyperbolas
Equations of conics
Solve linear and non-linear systems using graphing, linear combination, substitution and matrices.
Matrix operations
Function Basics (Weeks 5 and 6)
Domain, range, function notation, interval notation
Function operations from graph and formula
Finding inverse functions
Increasing/decreasing functions
Finding zeros
Piecewise functions
Odd/even functions
Transformations (Weeks 7 and 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
Curve Sketching (Weeks 9 and 10)
Asymptotes—vertical, horizontal, end behavior
Sketching Rational Functions
Sketching Polynomial function characteristics from derivatives
Solution Methods (Weeks 11 and 12)
Complex number review
Synthetic Division
Solutions(real and imaginary) to quadratic, rational, radical, absolute value, and higher order polynomial equations
Equations from solutions
Separate fractions by using the technique of partial fractions
Logarithmic & Exponential Functions (Weeks 13 and 14)
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,
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