
Please login to continue

Sign Up For Free
Join the World’s Largest Free Learning Community
 Already have an Alison account? Log In
orThis is the name that will appear on your Certification

Forgot password?
Please enter you email address and we will mail you a link to reset your password.
7
Modules
51
Topics
34
hours
Modules (7)
Resources ()

learn about the cartesian coordinate system and how to change from a pair of given polar coordinates.

Module 1
Polar Coordinates
Resources availableThis module will teach you about the conversion of rectangular to polar coordinates and how to determine the relationship between the two forms. The module will also teach you the formulas required for writing equivalent equations with the use of rectangular coordinates or polar coordinates.Polar Coordinates  Learning Outcomes
Start TopicIntroduction to Polar Coordinates
Start TopicChanging From Rectangular to Polar Coordinates
Start TopicChanging from Polar to Rectangular Coordinates
Start TopicTransforming Equations
Start TopicGraphing Polar Equations
Start TopicIdentifying Graphs
Start TopicTests for Symmetry
Start TopicTechniques for Graphing Polar Equations
Start TopicPolar Coordinates  Lesson Summary
Start Topic 
Module 2
Polar Coordinates and the Complex Plane
Resources availableThis module will teach you how the polar coordinate system can be applied to complex numbers and the importance of plotting points. This module will also teach you how DeMoivre's theorem can be used to extract roots, as well as the operations in the multiplication and division of complex numbers.Polar Coordinates and the Complex Plane  Learning Outcomes
Start TopicIntroduction to Polar Coordinates and the Complex Plane
Start TopicProducts and Quotients of Complex Numbers
Start TopicDeMoivre’s Theorem
Start TopicPolar Coordinates and the Complex Plane  Lesson Summary
Start Topic 
Module 3
Parametric Equations
Resources availableThis module will teach you about the required steps to be taken when finding a direct relationship between "x" and "y". Learn how to apply the trigonometric definitions of cosine and sine respectively in a unit circle from this module.Parametric Equations  Learning Outcomes
Start TopicParametric Equations
Start TopicParametric Equations  Lesson Summary
Start Topic 
Module 4
Sequence and Series
Resources availableThis module will teach you about the functions of sequences, elements of series, and the steps involved in changing the sequence. Get to study the concept of the sigma notation, the threesigma laws, and the features of infinite sequences.Sequence and Series  Learning Outcomes
Start TopicIntroduction to Sequences and Series
Start TopicSigma Notation
Start TopicThree Sigma Laws
Start TopicFinite and Infinite Sequences
Start TopicArithmetic Sequences
Start TopicGeometric Sequences
Start TopicFinite and Infinite Series
Start TopicArithmetic Series
Start TopicGeometric Series
Start TopicOther "Interesting" Sequence and Series
Start TopicSequence and Series  Lesson Summary
Start Topic 
Module 5
Mathematical Induction
Resources availableThis module will teach you how to understand the mathematical principle of induction and how to recognize the chain of proof setup. The module will also teach you what you need to know when S represents the solution set of a theorem, and when the (k + 1)th term is added.Mathematical Induction  Learning Outcomes
Start TopicPrinciple of Mathematical Induction
Start TopicApplications of Mathematical Induction
Start TopicMathematical Induction  Lesson Summary
Start Topic 
Module 6
Limits and Continuity
Resources availableThis module will teach you about the various techniques that can be used to evaluate and calculate limits. Study the definition of continuity at a point, the differences between the types of discontinuities, and how to gain a better intuitive understanding of the continuity of a function on an interval.Limits and Continuity  Learning Outcomes
Start TopicIntroduction to Limits
Start TopicFinding Limits From Tables or Graphs
Start TopicThe Algebra of Limits
Start TopicLimits of Polynomial Functions
Start TopicLimits of Rational Functions
Start TopicLimits of Trigonometric Functions
Start TopicOneSided Limits
Start TopicLimits of PieceWise Functions
Start TopicEvaluating Limits as x Approaches Positive or Negative Infinity
Start TopicSandwich or Squeeze Theorem
Start TopicAsymptotes
Start TopicApplications of Limits
Start TopicDefinition of Continuity at a Point
Start TopicThe Algebra of Continuous Functions
Start TopicLimits and Continuity  Lesson Summary
Start Topic 
course assessment: PreCalculus; Polar Coordinates, Sequences and Series

Module 7
Course assessment
Resources available