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Math 370- PreCalculus

Description: This course provides foundational mathematics and problems that require critical thinking in preparation for the calculus sequence for science, technology, engineering, and mathematics (STEM) majors. Topics include rigorous treatment of polynomial, rational, logarithmic, exponential and trigonometric functions, including graphing and applications, as well as systems of linear and non-linear equations and inequalities. The course also covers analytic geometry, conic sections, vectors, parametric equations, and polar equations.

Learning Outcomes and Objectives Upon completion of this course, the student will be able to:

Course Topics The topics for this course are typically allocated as follows:

Lec Topic
4 Algebra review 
Basic rules of algebra 
Cartesian plane
6 Adding, subtracting polynomials 
Multiplying polynomials, special products 
Factoring polynomials
5 Functions 
Graphs of functions 
Reflecting of graphs
5 Operations on functions 
Inverse functions
5 Graphs of polynomial functions of degree greater than 2 
Graphing rational functions using asymptotes 
Dividing polynomials
5 Complex and rational zeros of polynomials 
Fundamental Theorem of Algebra
3 Exponential functions, e, bases other than e, applications
4 Logarithmic functions, natural logarithms, properties of logarithms
5 Trigonometric functions 
Right triangle circular function and real number function 
Right triangle applications
5 Analytic trigonometry 
Verifying trigonometric identities 
Trigonometric equations 
Sum and difference formulas 
Multiple-angle product-to-sum formulas 
Inverse trigonometric functions 
4 Applications of trigonometry 
Laws of Sines and Cosines
6 Trigonometric form of complex numbers 
DeMoivre's Theorem 
Roots of complex numbers 
Dot product 
5 Sequences, series 
Summation notation 
Arithmetic and geometric sequences
5 Mathematical induction 
Binomial Theorem 
5 Topics from analytic geometry 
6 Parametric equations 
Polar coordinates 
Polar equations of conics 
4 Systems of equations 
Systems of inequalities
6 Partial fractions 
Algebra of matrices 
Cramer's Rule
2 Final exam