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Precalculus (Eureka Math/EngageNY)

Learn Precalculus aligned to the Eureka Math/EngageNY curriculum —complex numbers, vectors, matrices, and more.

5 units229 videos25 hours

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Unit 1: Module 1: Complex numbers and transformations

Topic A: Lessons 1-6: Complex numbers review

Topic A: Lessons 7-8: Complex number division

Topic B: Lessons 9-12: Distance and midpoint of complex numbers

Topic B: Lesson 13: Trigonometry and complex numbers

Topic B: Lessons 14-17: Multiplying and dividing complex numbers in polar form

Topic C: Lessons 18-19: Exploiting the connection to trigonometry

Topic C: Lessons 21-23: Transforming vectors with matrices

Topic C: Lesson 24: Matrix notation encompasses new transformations!

Topic C: Lesson 25: Properties of matrix addition

Topic C: Lesson 25: Properties of matrix multiplication

Topic C: Lessons 26-30: Matrix inverses

Unit 2: Module 2: Vectors and matrices

Topic A: Networks and matrices

Topic C: Systems of linear equations

Topic D: Lessons 17-18: Vectors in the coordinate plane

Topic D: Lesson 19: Directed line segments and vectors

Topic D: Lessons 20: Vectors and stone bridges

Topic D: Lessons 23-24: Why are vectors useful?

Topic E: First-person video games—projection matrices

Unit 3: Module 3: Rational and exponential functions

Topic A: Lesson 1: Solutions to polynomial equations

Topic A: Lessons 2-3: Roots of complex numbers

Topic A: Lessons 4-5: The binomial theorem

Topic A: Lessons 6-7: Ellipses

Topic A: Lesson 8: Hyperbolas

Topic A: Lesson 9: Volume and Cavalieri’s principle

Topic B: Lessons 10-11: Simplifying rational expressions

Topic B: Lessons 10-11: Multiplying & dividing rational expressions

Topic B: Lessons 10-11: Adding & subtracting rational expressions

Topic B: Lessons 12-13: End behavior and asymptotes of rational functions

Topic B: Lessons 14-15: Graphing rational functions

Topic B: Lessons 16-17: Function composition

Topic C: Lesson 18: Inverse functions

Topic C: Lesson 19: Restricting the domain

Topic C: Lessons 20-21: Inverse relationship of exponentials and logarithms

Unit 4: Module 4: Trigonometry

Topic A: Lessons 1-2: Special values and properties of trigonometric functions

Topic A: Lessons 3-4: Addition and subtraction formulas

Topic A: Lessons 5-6: Tangent lines and wave functions

Topic B: Trigonometry and triangles

Topic C: Inverse trigonometric functions

Unit 5: Module 5: Probability and statistics

Topic A: Lesson 1: The general multiplication rule

Topic A: Lesson 2: Counting rules—The fundamental counting principle and permutations

Topic A: Lesson 3: Counting rules—Combinations

Topic A: Lesson 4: Using permutations and combinations to compute probabilities

Topic B: Lessons 5-6: Discrete random variables

Topic B: Lessons 7-8: Expected value

Topic B: Lessons 9-12: Creating probability distributions

Topic C: Lessons 13-19: Applications of expected value and probability

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