Precalculus

Instructor: Prateek

Language: English

Validity Period: Lifetime

$300

Description
Course Content
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Thank you for landing on the Precalculus Course Page. All the courses are delivered by Subject Experts with over 5+ years of experience and after a detailed analysis of previous year papers and syllabus.

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This is the course structured as per the revised curriculum for Precalculus. Please find the course syllabus module on the Course Contents Tab above.

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3. The number of classes that happen per month in this course are 10. The price per session is $30

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	Complex numbers
		Introduction to i and imaginary numbers \| Imaginary and complex numbers \| Precalculus \|
		Calculating i raised to arbitrary exponents \| Precalculus \|
		Imaginary roots of negative numbers \| Imaginary and complex numbers \| Precalculus \|
		i as the principal root of -1 (a little technical) \| Precalculus \|
		Introduction to complex numbers \| Imaginary and complex numbers \| Precalculus \|
		Introduction to complex numbers \| Imaginary and complex numbers \| Algebra II \|
		Plotting complex numbers on the complex plane \| Precalculus \|
		Adding complex numbers \| Imaginary and complex numbers \| Algebra II \|
		Subtracting complex numbers \| Imaginary and complex numbers \| Algebra II \|
		Midpoint and distance on complex plane \| Imaginary and complex numbers \| Precalculus \|
		Midpoint and distance on complex plane \| Imaginary and complex numbers \| Precalculus \|
		Midpoint and distance on complex plane \| Imaginary and complex numbers \| Precalculus \|
		Midpoint and distance on complex plane \| Imaginary and complex numbers \| Precalculus
		Midpoint and distance on complex plane \| Imaginary and complex numbers \| Precalculus \|
		Midpoint and distance on complex plane \| Imaginary and complex numbers \| Precalculus \|
		Midpoint and distance on complex plane \| Imaginary and complex numbers \| Precalculus \|
		Absolute value of a complex number \| Imaginary and complex numbers \| Precalculus \|
		Basic complex analysis \| Imaginary and complex numbers \| Precalculus \|
		Rectangular to polar form of complex number \| Precalculus \|
		Dividing complex numbers in polar and exponential form \| Precalculus \|
		Powers of complex numbers \| Imaginary and complex numbers \| Precalculus \|
		Exponential form to find complex roots \| Imaginary and complex numbers \| Precalculus \|
	Polynomials
		Example 5: Adding polynomials with two variables \| Algebra I \|
		Example 6: Subtracting polynomials with two variables \| Algebra I \|
		Subtracting polynomials: two variables challenge \| Mathematics II \| High School Math \|
		Finding an error in polynomial subtraction \| Mathematics II \| High School Math \|
		More examples of addition and subtraction of polynomials \| Algebra II \|
		Binomial theorem \| Polynomial and rational functions \| Algebra II \|
		Pascal's triangle for binomial expansion \| Algebra II \|
		Determining coefficient in binomial expansion \| Algebra II \|
		Algorithm for mentally computing binomial expansion coefficients \| Algebra II \|
		Intuitive connection between binomial expansion and combinatorics \| Algebra II \|
		Connecting Pascal's triangle to binomial combinatorics \| Algebra II \|
		Fundamental theorem of algebra \| Polynomial and rational functions \| Algebra II \|
		Fundamental theorem of algebra for quadratic \| Algebra II \|
		Possible number of real roots \| Polynomial and rational functions \| Algebra II \|
		Dividing polynomials with remainders example \| Algebra II \|
		Dividing polynomials with remainders \| Polynomial and rational functions \| Algebra II \|
		Interpreting equations graphically \| Mathematics III \| High School Math \|
		Interpreting equations graphically (example 2) \| Mathematics III \| High School Math \|
		Estimating a solution to nonlinear system with calculator \| Algebra II \|
		Estimating a solution to nonlinear system with calculator part 2 \| Algebra II \|
	Composite functions
		Introduction to function composition \| Functions and their graphs \| Algebra II \|
		Evaluating composite functions \| Mathematics III \| High School Math \|
		Evaluating composite functions: using tables \| Mathematics III \| High School Math \|
		Evaluating composite functions: using graphs \| Mathematics III \| High School Math \|
		Creating new function from composition \| Functions and their graphs \| Algebra II \|
		Evaluating composite functions example \| Functions and their graphs \| Algebra II \|
		Modeling with composite functions \| Mathematics III \| High School Math
		Modeling with function composition \| Functions and their graphs \| Algebra II \|
		Verifying inverse functions by composition \| Mathematics III \| High School Math \|
		Verifying inverse functions by composition: not inverse \| High School Math \|
		Determining if a function is invertible \| Mathematics III \| High School Math \|
		Restricting domain of trig function to make invertible \| Trigonometry \|
	Trigonometry
		Inverse trig functions: arcsin \| Trigonometry \|
		Inverse trig functions: arctan \| Trigonometry \|
		Inverse trig functions: arccos \| Trigonometry
		Restricting domain of trig function to make invertible \| Trigonometry \|
		Inverse tan domain and range \| Trigonometry
		Inverse tangent scenario \| Unit circle definition of trig functions \| Trigonometry \|
		Solution set to sin equation \| Trigonometry \|
		Example: Graph of cosine \| Graphs of trig functions \| Trigonometry \|
		Symmetry of trig values \| Trig identities and examples \| Trigonometry \|
		Unit circle symmetries for tan \| Trig identities and examples \| Trigonometry \|
		Relating trig function through angle rotations \| Trigonometry \|
		Periodicity of tan example \| Trig identities and examples \| Trigonometry
		Trigonometry identity review/fun \| Trig identities and examples \| Trigonometry \|
		Cosine addition identity example \| Trig identities and examples \| Trigonometry \|
		Double angle formula for cosine example \| Trig identities and examples \| Trigonometry \|
		Proof of angle addition formula for sine \| Trigonometry \|
		Proof of angle addition formula for cosine \| Trigonometry \|
		Sine of non special angle \| Trig identities and examples \| Trigonometry \|
		Applying angle addition formula for sin \| Trig identities and examples \| Trigonometry \|
		Angle addition formula with cosine \| Trig identities and examples \| Trigonometry \|
		Examples using pythagorean identities to simplify trigonometric \| Trigonometry \|
	Vectors
		Intro to vectors & scalars \| One-dimensional motion \| Physics \|
		Vector representations exercise example \| Vectors \| Precalculus \|
		Equivalent vectors examples
		Example finding components of a vector
		Example comparing x components of vectors
		Example calcuating magnitude of vector from graph
		Finding vector magnitude from components
		Example of vector magnitude from initial and terminal points
		Example of vector magnitude from initial and terminal point
		Examples from understanding scalar multiplication exercise
		Adding and subtracting vectors
		Visually adding and subtracting vectors
		Subtracting vectors exercise example \| Vectors \| Precalculus \|
		Adding vectors \| Vectors and spaces \| Linear Algebra \|
		Combined vector operations example
		Unit vector notation \| Vectors and spaces \| Linear Algebra \|
		Unit vector notation \| Vectors and spaces \| Linear Algebra \|
		Scaling up a unit vector \| Vectors \| Precalculus \|
		Angles of vectors from components
		More examples finding vector angles
		Vector components from magnitude and direction
		Breaking down vectors into components \| Vectors \| Precalculus \|
		Magnitude and direction of vector sums \| Vectors \| Precalculus \|
		Magnitude of vector sums \| Vectors \| Precalculus \|
		Force contribution while pushing box \| Vectors \| Precalculus \|
		Three way tug of war vectors \| Vectors \| Precalculus \|
		Total displacement while hiking \| Vectors \| Precalculus \|
	Matrices
		Introduction to the matrix \| Matrices \| Precalculus \|
		Matrices: Reduced row echelon form 2 \| Vectors and spaces \| Linear Algebra \|
		Matrix addition and subtraction \| Matrices \| Precalculus \|
		Scalar multiplication \| Matrices \| Precalculus \|
		Matrix multiplication introduction \| Matrices \| Precalculus \|
		Multiplying a matrix by a matrix \| Matrices \| Precalculus \|
		Defined and undefined matrix operations \| Matrices \| Precalculus \|
		Identity matrix \| Matrices \| Precalculus \|
		Dimensions of identity matrix \| Matrices \| Precalculus \|
		Is matrix multiplication commutative \| Matrices \| Precalculus \|
		Associative property of matrix multiplication \| Matrices \| Precalculus \|
		Zero matrix \| Matrices \| Precalculus \|
		Equivalent matrix expressions \| Matrices \| Precalculus \|
		Identity and zero matrix equation \| Matrices \| Precalculus \|
		Transformation matrix for position vector \| Matrices \| Precalculus \|
		Matrix transformation on triangle \| Matrices \| Precalculus \|
		Transforming a quadrilateral \| Matrices \| Precalculus \|
		Finding the determinant of a 2x2 matrix \| Matrices \| Precalculus \|
		Idea behind inverting a 2x2 matrix \| Matrices \| Precalculus \|
		Singular matrices \| Matrices \| Precalculus \|
		Inverse of a 2x2 matrix \| Matrices \| Precalculus \|
		Matrix equations and systems \| Matrices \| Precalculus
		Solving the matrix vector equation \| Matrices \| Precalculus \|
		Matrices to solve a vector combination problem \| Matrices \| Precalculus \|
		Representing data with matrices \| Matrices \| Precalculus \|
	Series
		Explicit and recursive definitions of sequences \| Precalculus \|
		Introduction to arithmetic sequences \| Sequences, series and induction \| Precalculus \|
		Equations of sequence patterns \| Sequences, series and induction \| Precalculus
		Recursive formulas for arithmetic sequences \| Mathematics I \| High School Math \|
		Introduction to geometric sequences \| Sequences, series and induction \| Precalculus \|
		Geometric sequences \| Sequences, series and induction \| Precalculus \|
		Geometric sequences \| Sequences, series and induction \| Precalculus \|
		Explicit & recursive formulas for geometric sequences \| High School Math \|
		Converting an explicit formula of a geometric sequence to a recursive formula \|
		Geometric series introduction \| Algebra 2 \|
		Series as sum of sequence \| Sequences, series and induction \| Precalculus \|
		Finite geometric series formula justification \| High School Math \|
		Worked examples: finite geometric series \| High School Math \|
		Geometric series word problems: swing \| Algebra 2 \|
		Geometric series word problems: hike \| Algebra 2 \|
		Sigma notation for sums \| Sequences, series and induction \| Precalculus \|
		Geometric series \| Sequences, series and induction \| Precalculus \|
		Worked example: finite geometric series (sigma notation) \| High School Math
		Constructing a geometric series for new users \| Precalculus \|
		Finite geometric series word problem: mortgage \| Housing \| Finance & Capital Markets \|
		Finite geometric series word problem: mortgage \| Housing \| Finance & Capital Markets \|
		Formula for arithmetic serie
		Worked example: arithmetic series (sigma notation) \| High School Math \|
		Worked example: arithmetic series (sum expression) \| High School Math \|
		Worked example: arithmetic series (recursive formula) \| High School Math \|
		Alternate proof to induction for integer sum \| Precalculus \|
	Conic sections
		Introduction to conic sections \| Conic sections \| Algebra II \|
		Graphing circles from features \| Mathematics II \| High School Math \|
		Features of a circle from its graph \| Mathematics II \| High School Math \|
		Radius and center for a circle equation in standard form \| Algebra II \|
		Graphing a circle from its standard equation \| Mathematics II \| High School Math \|
		Writing standard equation of a circle \| Mathematics II \| High School Math \|
		Completing the square to write equation in standard form of a circle \| Algebra II
		Conic sections: Intro to ellipse \| Conic sections \| Algebra II \|
		Ellipse standard equation from graph \| Precalculus \| High School Math \|
		Ellipse graph from standard equation \| Precalculus \| High School Math \|
		Foci of an ellipse \| Conic sections \| Algebra II
		Focus and directrix introduction \| Conic sections \| Algebra II \|
		Equation for parabola from focus and directrix \| Conic sections \| Algebra II \|
		Finding focus and directrix from vertex \| Conic sections \| Algebra II \|
		Conic sections: Intro to hyperbolas \| Conic sections \| Algebra II \|
		Vertices & direction of a hyperbola \| Precalculus \| High School Math \|
		Picking hyperbola equation
		Conic sections: Hyperbolas 2 \| Conic sections \| Algebra II \|
		Foci of a hyperbola \| Conic sections \| Algebra II \|
		Proof: Hyperbola foci \| Conic sections \| Algebra II
		Conic sections: Hyperbolas 3 \| Conic sections \| Algebra II \|
		Identifying circles and parabolas from equations \| Conic sections \| Algebra II \|
		Identifying circles and parabolas from equations \| Conic sections \| Algebra II \|
		Identifying a hyperbola from an equation \| Conic sections \| Algebra II \|
		Tangent line hyperbola relationship (very optional) \| Conic sections \| Algebra II \|
		IIT JEE circle hyperbola common tangent part 1 \| Conic sections \| Algebra II \|
		IIT JEE circle hyperbola common tangent part 2 \| Conic sections \| Algebra II \|
		IIT JEE circle hyperbola common tangent part 3 \| Conic sections \| Algebra II \|
		IIT JEE circle hyperbola common tangent part 4 \| Conic sections \| Algebra II \|
		IIT JEE circle hyperbola common tangent part 5 \| Conic sections \| Algebra II \|
		IIT JEE circle hyperbola intersection \| Conic sections \| Algebra II \|
	Probability and combanitorics
		Probability explained \| Independent and dependent events \| Probability and Statistics \|
		Finding probability example \| Probability and Statistics \|
		Finding probability example 2 \| Probability and Statistics \|
		Probability with playing cards and Venn diagrams \| Probability and Statistics
		Addition rule for probability \| Probability and Statistics \|
		Die rolling probability \| Probability and combinatorics \| Precalculus \|
		Example: Probability through counting outcomes \| Precalculus \|
		Compound events example with tree diagram \| Precalculus \|
		Compound probability of independent events \| Probability and Statistics \|
		Probability without equally likely events \| Probability and Statistics \|
		Test taking probability and independent events \| Precalculus \|
		Die rolling probability with independent events \| Precalculus \|
		Coin flipping probability \| Probability and Statistics
		Free throwing probability \| Probability and Statistics \|
		Three pointer vs free throwing probability \| Probability and Statistics \|
		Dependent probability introduction \| Probability and Statistics \|
		Dependent probability example \| Probability and Statistics \|
		Dependent probability example 2 \| Probability and Statistics \|
		Independent or dependent probability event? \| Precalculus \|
		Probability and the Monty Hall problem \| Probability and combinatorics \| Precalculus \|
		Factorial and counting seat arrangements \| Probability and Statistics \|
		Permutation formula \| Probability and combinatorics \| Probability and Statistics \|
		Possible three letter words \| Probability and Statistics \|
		Zero factorial or 0! \| Probability and combinatorics \| Probability and Statistics \|
		Example: Ways to arrange colors \| Probability and combinatorics \| Precalculus \|
		Example: Ways to pick officers \| Probability and combinatorics \| Precalculus \|
		Introduction to combinations \| Probability and Statistics \|
		Combination formula \| Probability and combinatorics \| Probability and Statistics \|
		Handshaking combinations \| Probability and combinatorics \| Probability and Statistics \|
		Example: 9 card hands \| Probability and combinatorics \| Precalculus \|
		Probability using combinations \| Probability and Statistics \|
		Probability and combinations (part 2) \| Probability and Statistics \|
		Example: Probability through counting outcomes \| Precalculus \|
		Getting exactly two heads (combinatorics) \| Probability and Statistics \|
		Exactly three heads in five flips \| Probability and Statistics \|
		Generalizing with binomial coefficients (bit advanced) \| Probability and Statistics \|
		Example: Different ways to pick officers \| Precalculus \|
		Example: Combinatorics and probability \| Probability and combinatorics \| Precalculus \|
		Example: Lottery probability \| Probability and combinatorics \| Precalculus \|
		Mega millions jackpot probability \| Probability and combinatorics \| Precalculus \|
		Birthday probability problem \| Probability and Statistics \|

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Precalculus

$300