Pre-Calculus Video Series

BY
Udemy

Acquire an in-depth insight into everything you'll need to master the fundamental concepts of precalculus.

Mode

Online

Fees

₹ 2499

Quick Facts

particular details
Medium of instructions English
Mode of learning Self study
Mode of Delivery Video and Text Based

Course overview

Precalculus is a mathematical discipline that operates as a base for calculus. Algebra and trigonometry are the two major topics covered in precalculus. Depending upon the nature of the job path chosen by individuals, precalculus courses can be arranged in several different ways. Jesse Patrick - Professional Teacher created the Pre-Calculus Video Series online certification, which is available through Udemy.

Pre-Calculus Video Series online course provides participants an in-depth overview of pre-calculus subjects such as advanced algebra and trigonometry and is designed for those who need a refresher on their skills while taking calculus. Pre-Calculus Video Series online training involves 30 hours of detailed comprehensive lectures along with 9 articles, 20 downloadable resources, and assignments that cover topics like limits, functions, function transformation, exponential function, rational function, logarithmic function, graphing, polar equation, parametric equation and more.

The highlights

  • Certificate of completion
  • Self-paced course
  • 30 hours of pre-recorded video content
  • 9 articles
  • 20 downloadable resources
  • Assignments

Program offerings

  • Online course
  • Learning resources. 30-day money-back guarantee
  • Unlimited access
  • Accessible on mobile devices and tv

Course and certificate fees

Fees information
₹ 2,499
certificate availability

Yes

certificate providing authority

Udemy

Who it is for

What you will learn

Mathematical skill

After completing the Pre-Calculus Video Series certification course, participants will get a thorough understanding of precalculus concepts that correspond to the fundamentals of calculus and algebra in the mathematics discipline. Participants will learn about conic sections, limits, functions, graphs, sequences, series, vectors, partial fractions, polar equations, parametric equations, function transformations, function compositions, polynomial functions, rational functions, exponential functions, and logarithmic functions, as well as acquire an understanding of math modeling principles. Participants will gain knowledge of the binomial theorem and learn about theories of the law of sines and the law of cosines.

The syllabus

Course Workbook

  • Guided Notes

Unit 1 - Fundamental Algebra Skill Review

  • Lesson - Algebra Review Pre-Quiz
  • Lesson - Factoring Review
  • Lesson - Simplifying Rational Expressions
  • Lesson - Properties of Exponents
  • Lesson - Composition of Functions
  • Review - Algebra Review Assignments #1-3

Unit 2 - Parent Functions and Their Properties

  • Explore - Parent Graphs
  • Lesson - Transformations of Functions
  • Lesson - Sketching Functions Using Parent Graphs & Transformations
  • Lesson - Inverse Relations and Functions
  • Lesson - Piecewise Functions
  • Lesson - Step Functions
  • Lesson - Finding Domain Algebraically
  • Review - Unit 2

Unit 3 - Polynomial and Rational Functions

  • Lesson - Graphing Polynomial Functions
  • Lesson - Dividing Polynomials
  • Lesson - Finding Zeros of Polynomials
  • Lesson - Finding Complex Zeros of Polynomials
  • Lesson - Graphing Rational Functions
  • Review - Unit 3
  • Lesson - Solving Non-Linear Inequalities

Unit 3b - Math Modeling

  • Lesson - Function Optimization (Maximizing Area/Vol and Minimizing Time/Energy)

Unit 4 - Exponential and Logarithmic Functions

  • Lesson - Exponential Functions
  • Lesson - Properties of Logarithms
  • Lesson - Graphing Logarithms
  • Lesson - Solving Exponential and Logarithmic Equations Algebraically
  • Lesson - Applications of Exponents and Logarithms
  • Practice/Review - Unit 4

Unit 5 - Conic Sections

  • Lesson - Conic Sections Intro/General Form of Conics
  • Lesson - Circles
  • Lesson - Ellipses
  • Lesson - Hyperbolas
  • Lesson - Parabolas
  • Review - Conics
  • Practice - Applications of Conics

Unit 6 - Right Triangle Trigonometry & The Unit Circle

  • Lesson - Right Triangle Trigonometry
  • Lesson - Solving Right Triangles
  • Lesson - Angles: Radians and Degrees
  • Lesson - The Unit Circle

Unit 7 - Graphing Trigonometric Functions

  • Lesson - Graphing Sine and Cosine
  • Lesson - Graphing Secant and Cosecant
  • Lesson - Graphing Tangent and Cotangent
  • Practice - Graphing Review
  • Lesson - Inverse Trig Functions

Unit 8 - Law of Sines and Cosines

  • Lesson - Law of Sines
  • Lesson - Law of Cosines
  • Lesson - Applications of Law of Sines and Law of Cosines

Unit 9 - Verifying Trigonometric Identities

  • Lesson - Trigonometric Identities
  • Practice - Trigonometric Identities
  • Lesson - Addition and Subtraction Formulas
  • Lesson - Double and Half Angle Formulas
  • Practice - Cumulative Proof Practice
  • Lesson - Trigonometric Equations

Unit 10 - Vectors

  • Lesson - Complex Numbers
  • Lesson - Vectors
  • Lesson - Dot Product

Unit 11 - Partial Fractions

  • Lesson - Partial Fraction Decomposition

Unit 12 - Polar and Parametric Equations

  • Lesson - Polar Coordinates
  • Lesson - Polar Graphs
  • Lesson - Parametric Equations

Unit 13 - Sequences/Series & Math Induction/Binomial Theorem

  • Lesson - Introduction to Sequences and Series
  • Lesson - Arithmetic Sequences and Series
  • Lesson - Geometric Sequences and Series
  • Lesson - Binomial Theorem
  • Lesson - Mathematical Induction

Unit 14 - Calculus Preview - Limits

  • Lesson - Finding Limits Graphically
  • Lesson - Finding Limits Algebraically

Instructors

Mr Jesse Patrick

Mr Jesse Patrick
Teacher
Freelancer

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