# Course Syllabus

## Course Description

In the intricate tapestry of mathematics, calculus stands as a pivotal thread, intricately weaving through a multitude of scientific, engineering, and professional domains. For many, calculus looms as a daunting peak, a challenging summit seemingly out of reach. Such apprehensions can inadvertently curtail the vast array of opportunities our modern, technology-centric world offers.

Enter "Precalculus 101," your bridge from foundational algebra to the captivating realm of calculus. Designed meticulously for learners, this course illuminates the path, breaking down complex concepts into digestible, relatable pieces, thereby transitioning you smoothly from algebraic foundations to the doors of calculus.

Course Takeaways:

1. Reconnecting with the Basics: Dive deep into the foundational realms of real and complex numbers, cementing the core upon which advanced topics are built.

2. The Symphony of Functions: Navigate through the nuanced world of functions — from the rhythmic patterns of polynomials to the exponential crescendos and logarithmic decrescendos.

3. Trigonometry Demystified: Rediscover trigonometry through the lens of simple geometries like right triangles and circles, making it relatable and intuitive.

4. Venturing into Pre-Calculus: Engage with foundational pre-calculus topics like vectors, polar coordinates, and the elegance of conic sections, setting the tone for advanced calculus principles.

5. The Prelude to Calculus: Delve into the crux of calculus preparation by unraveling the mysteries of limits, sequences, and series, offering a sneak peek into what lies ahead.

6. Unleashing Calculus: By utilizing algebraic fundamentals, embark on an enlightening journey as you're introduced to the cornerstone of calculus: differentiation and integration. These tools, once mastered, open the gates to a myriad of problem-solving techniques across diverse fields.

On completion of "Precalculus 101," students won't just be equipped with knowledge; they'll be imbued with confidence. A newfound understanding will empower learners to delve deeper into calculus, unearthing its potential to decode challenges across mathematics, physics, and beyond.

Join us on this transformative journey, and let "Precalculus 101" be your compass, guiding you from familiar shores to uncharted territories, all while making the journey exhilarating and enlightening.

• Completely Online
• Self-Paced
• Printable Lessons
• Full HD Video
• 6 Months to Complete
• Start Anytime
• PC & Mac Compatible
• Android & iOS Friendly
• Accredited CEUs

## Learning Outcomes

By successfully completing this course, students will be able to:
• Define, identify and demonstrate use of real and complex numbers.
• Define, identify and demonstrate use of functions.
• Define, identify and demonstrate use of equations and inequalities.
• Define, identify and demonstrate use of polynomials and rational functions.
• Define, identify and demonstrate use of exponential and logarithmic functions.
• Define, identify and demonstrate use of trigonometric functions.
• Define, identify and demonstrate use of vectors.
• Define, identify and demonstrate use of polar coordinates.
• Define, identify and demonstrate use of conic sections.
• Define, identify and demonstrate use of limits, sequences, and series.
• Define, identify and demonstrate use of derivatives and integrals.
• Demonstrate mastery of lesson content at levels of 70% or higher.

## Assessment Guide

Assessment Points
Introduction 1 points
Lesson 1 Exam 20 points
Lesson 2 Exam 20 points
Lesson 3 Exam 20 points
Lesson 4 Exam 20 points
Lesson 5 Exam 20 points
Lesson 6 Exam 20 points
Lesson 7 Exam 20 points
Lesson 8 Exam 20 points
Lesson 9 Exam 20 points
Lesson 10 Exam 20 points
Lesson 11 Exam 20 points
Lesson 12 Exam 20 points
Lesson 13 Exam 20 points
Lesson 14 Exam 20 points
Lesson 15 Exam 20 points
Lesson 16 Exam 20 points
Lesson 17 Exam 20 points
Lesson 18 Exam 20 points
Lesson 19 Exam 20 points
The Final Exam 80 points