 1,001 Pre-Calculus Practice Problems For Dummies

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• Course Details
• Getting started with algebra basics
Number
Properties of number systems
Order of operations
Graphing inequalities
Using graphing formulas
Applications of graphing formulas
• Solving some equations and inequalities
Interval notation vs. inequality notation
Solving inequalities
Rationalizing denominators
• Function basics
Functions and function notation
Inverse functions
Operating on functions
• Graphing and transforming functions
Graphing functions
Function transformations
• Polynomials
Factoring polynomials for intercepts
Using roots to write equation of polynomial
Graphing polynomials
• Exponential and logarithmic functions
Exponential functions
Solving exponential equations
Exponential - logarithmic equivalence
Logarithmic functions
Applications of exponential and log functions
• Trig basics
Right-triangle trigonometry
Unit circle
Arc length
Inverse trig functions
Solving trig equations
• Graphing trig functions
Graphs of sine and cosine
Graphs of tangent and cotangent
Graphs of secant and cosecant
• Getting started with trig identities
Solving basic identities using:
Trig proofs using identities
• Continuing with trig identities
Introducing more identities using:
Solving identities
• Working with triangles and trigonometry
Law of Sines
Ambiguous case
Law of Cosines
Areas of triangles
Oblique triangles and practical applications
• Complex numbers and polar coordinates
Complex numbers and powers of i
Operations on complex numbers
Solving quadratic equations with complex roots
Graphing complex numbers
Graphing polar coordinates
Graphing polar equations
• Conic sections
Conic sections
Circles
Parabolas
Ellipses
Hyperbolas
Conic sections in parametric form and polar coordinates
• Systems of equations and inequalities
Systems of two linear equations
Non-linear systems of two equations
More than two linear equations or variables
Graphing systems of inequalities
Partial fractions
Matrices
• Sequences and series
General sequences and series
Summation notation
Arithmetic sequences and series
Geometric sequences and series
Binomial theorem
• Introducing limits and continuity
Finding limits
Operating on limits - limit laws
Continuity

Practice problems cover such topics as

• Solving equations and inequalities
• Functions and inverse functions
• Graphing and transforming functions
• Essentials of trigonometry
• Exponential and logarithmic functions
• Complex numbers and polar coordinates
• Sequences and series

Description:

This powerful online resource offers 1,001 practice problems to help you quickly and painlessly get a handle on all of the concepts in your pre-calculus course. Problems are ranked from easy to hard, and every one includes a detailed explanation and step-by-step solution. These practice problems cover all the essential topics, from absolute value and quadratic equations to logarithms and exponential functions to trig identities and matrix operations.