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Math 141 (formerly Math 130 ) Precalculus I
PRECALCULUS I
Math&141
COURSE GOALS/OBJECTIVES:
First in a two course sequence designed to prepare students for the study of Calculus.Intended for students planning to major in math and/or science. Course to include the basic properties and graphs of functions and inverses of functions, operations on functions, compositions; various specific functions and their properties including polynomial, absolute value, rational, exponential and logarithmic functions; matrices, determinants, systems of linear equations, and their applications; conics.
A graphing calculator is required.
Math 99 or equivalent with a grade of "C" or better.
COURSE CONTENT:
2.1 Orientation. Begin Quadratic Functions
2.1 Quadratic Functions
2.1 Quadratic Functions
2.2 Higher Degree Polynomial Functions
2.2 Higher Degree Polynomial Functions
2.3 Real Zeros of Polynomial Functions
2.3 Real Zeros of Polynomial Functions
2.4 Complex Numbers
2.5 Fundamental Theorem of Algebra
2.5 Fundamental Theorem of Algebra
2.6 Rational Functions and Asymptotes
2.6 Rational Functions and Asymptotes
2.7 Graphs of Rational Functions
2.7 Graphs of Rational Functions
Review
EXAM 1
3.1 Exponential Functions
3.1 Exponential Functions
3.2 Logarithmic Functions
3.2 Logarithmic Functions
3.3 Properties of Logarithms
3.4 Solving Exponential and Logarithmic Equations
3.4 Solving Exponential and Logarithmic Equations
3.5 Exponential and Logarithmic Models
3.5 Exponential and Logarithmic Models
3.5 Exponential and Logarithmic Models
Review
EXAM 2
7.1 Solving Systems of Equations: Substitution
7.2 Systems of Equations in Two Variables: Elimination
7.3 Multivariable Linear Systems: Row Echelon Form
7.3 Multivariable Linear Systems: Row Echelon Form
7.4 Matrices and Systems of Equations
7.4 Matrices and Systems of Equations
7.5 Operations with Matrices
7.5 Operations with Matrices
7.6 The Inverse of a Square Matrix
7.6 The Inverse of a Square Matrix
7.7 The Determinant of a Square Matrix
7.7 Continued. Example of expansion by minors
7.8 Applications of Matrices and Determinants
Review
EXAM 3
9.1 Conics: the Parabola and Circle
9.1 Conics: the Parabola and Circle
9.2 Conics: the Ellipse
9.2 Conics: the Ellipse
9.3 Conics: the Hyperbola
9.3 Conics: the Hyperbola
Final Review
Open
Final: Part I
Final: Part II
REQUIRED EVALUATION METHODS:
Written exams, quizzes, homework, class participation, group participation
TEXT BOOKS:
Ronald E. Larson, Robert P. Hostetler, and Bruce H. Edwards
Precalculus with Limits: A Graphing Approach , 5th. Edition
Houghton Mifflin Company (2008)
Recommended Links:
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