Precalculus For High School And College Level Students
Why take this course?
🧮 Your Complete Guide for High School and College Level Precalculus 🚀
Course Overview:
Dive into the world of mathematics with our comprehensive Precalculus course, designed to cater to both high school and college-level students. With over 38 hours of in-depth video lectures, this course is your gateway to mastering the fundamental concepts of algebra and trigonometry. Each topic is thoroughly explored and concluded with a video quiz to ensure you fully grasp the material—perfect for pausing and revisiting as needed.
What You Need to Start:
- A solid foundation in Algebra 1.
- A notebook to capture your essential notes.
- A strong drive and commitment to learning precalculus concepts.
Course Structure: The course is structured into two main sections:
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Algebra Section: This section covers a variety of algebraic topics including:
- Properties of exponents 🧮
- Scientific notation 🚀
- Rationalizing denominators and numerators 🔬
- Complex numbers ℂ
- Simplifying complex fractions 🌀
- One-to-one functions and inverses 🔄
- Composition and combination of functions 🏭
- Finding the least common denominator (LCD) 📏
- Solving equations in non-rational and rational forms ⚖️
- Graphing various types of lines: piecewise, square roots, polynomials, and rational functions 📈
- Linear functions and their graphs 📉
- Parallel and perpendicular lines 🎭
- Solving word problems related to linear functions 🤔
- Systems of linear equations in two and three variables 🧩
- Cramer's rule ➰
- Linear inequalities 🚫
- Absolute value in equations and inequalities 💖
- All factoring rules 🏗️
-
Trigonometry Section: This section delves into the world of trigonometry with an emphasis on understanding triangles, angles, and the unit circle, including:
- Different types of triangles: right, obtuse, acute, isosceles, scalene, and equilateral 📏
- Radian and degree measure with conversion ⚫️
- Degree, minute, second (DMS) conversion 🌍
- Six trigonometry functions and the unit circle 🎠
- Special right triangles 🏭
- Reference angles 🔍
- Trigonometric functions of any angle 🌪️
- Fundamental identities ✅
- Verifying trigonometric identities 🤔
- Sum and difference formulas ➕/minus
- Double angle and half-angle identities ⭕️🔁
- Graphing sine and cosine 📈📉
- Tangent and cotangent graphs 🎛️
- Inverse trigonometric functions ➫
- Law of sine and cosine 🌐
- Polar equations ❄️
- Powers and roots of complex numbers 🔭
- Trigonometric form of complex numbers 🔺
Course Materials:
- 38 hours of video lectures to provide a clear understanding of concepts.
- Cheat sheets to help you outline key points and formulas quickly.
- Practice exams with detailed answers for self-assessment. All materials are conveniently provided in PDF format for easy access and printing.
Why Take This Course? This course is designed to equip you with a deep understanding of precalculus, laying the groundwork for success in calculus and beyond. By mastering these concepts, you'll develop critical thinking skills that are essential for any future studies in science, technology, engineering, mathematics, or economics.
Get Started Today! 📚 With engaging content and practical examples, this course is your ideal learning companion. Whether you're a high school student preparing for college math courses or a college student looking to brush up on your precalculus skills, this course will provide the knowledge and confidence you need to excel. Enroll now and unlock your potential in mathematics! 🚀🧮
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