Calculus I: Your Secret Weapon

Complete Calculus I interactive course. Learn differentiation and limits. Your path to mathematical mastery.

What you'll learn

Related Rates: Understand how changing one quantity influences another quantity

Chain Rule: Crucial for finding derivatives of complex functions and used extensively in calculus

Implicit Differentiation: Allows us to find the derivative in situations where it would usually be difficult or impossible to solve

Trigonometric Functions: These are functions of an angle, which are fundamental to many areas of mathematics.

Antiderivative: Reverse the process of differentiation, the foundation of integration

L'Hopital's Rule: A powerful tool for finding limits that are otherwise difficult or impossible to compute

Linear Approximation: Provides a simple way to estimate functions without the need for complex calculations

Logarithms and Exponents: These functions are inverse operations of each other, and are crucial in many calculus problems.

Higher Order Derivatives: Understand what happens when the slope of a function is changing

Rewriting Limits: A flexible technique that can be used to solve a variety of limit problems

Factoring Limits: A common and effective way to solve limits, especially when the 'plug in' method results in an indeterminate form

Squeeze Theorem: A useful tool for finding limits of more complex functions

Oblique Asymptotes: Describes the end behavior of a function as it heads toward infinity

Hyperbolic Functions: These functions represent hyperbolas instead of circles, and are found in certain types of calculus problems.

Requirements

Algebra basics

Description

Are you ready to unlock the secrets of the universe? Do you want to open doors to exciting career opportunities?Welcome to our Calculus I course, where we make calculus approachable and engaging. Dive into the world of mathematics with us and discover its power and elegance.The one thing to remember is that calculus is your secret weapon for solving tough math problems. It has the unique ability to break down complex equations into simpler parts. In our Calculus I course, you'll learn how to harness this skill, turning it into a secret weapon that you can use to tackle a wide range of problems.There are many misconceptions about learning calculus that can create unnecessary fear and hesitation.Myth 1: I need to know all of algebra and trigonometry to start calculus.While a foundation in math is helpful, you don't need to know everything perfectly. Our course will review the necessary concepts and provide additional resources for review.Myth 2: Calculus is only for “math people”.This belief can limit potential and growth. It can cause students to underestimate their abilities and prevent them from exploring the fascinating world of calculus. The truth is, anyone can learn calculus with the right mindset, resources, and support.Myth 3: Calculus is too advanced for me. With the right guidance and approach, anyone can learn calculus. Our course breaks down complex concepts into easy-to-understand lessons. You already might be using calculus in your everyday life. For example, when you drive a car, you're using calculus to adjust your speed and direction based on the road conditions and traffic. As I started learning calculus, I found it difficult and frustrating. The concepts seemed abstract and the problems felt like they were just about manipulating symbols without any real meaning. I started to question whether I was really a "math person".Determined not to give up, I started looking for ways to make calculus more relevant. I read books, watched videos, and even sought help from my teacher and peers. But still, calculus seemed like a foreign language.One day, I started thinking about derivatives and integrals in terms of speed and motion. I figured out how the speedometer calculates distance traveled using the car's speed over time. At first it was still hard, but I kept thinking and visualizing until it started to make sense more intuitively. Calculus isn't just about abstract symbols and formulas. It's a tool for understanding the world, for describing how things change and move. With this new perspective, I started to approach calculus with renewed enthusiasm. I started seeing connections between calculus and the real world everywhere. I realized that I could use calculus to do physics, engineering, economics, computer science, biology, and more.As I continued studying calculus, I found that it became easier and more enjoyable. I started getting better grades, but more importantly, I started really understanding the material.I enjoyed helping other classmates too, so I created a  Calculus I course for anyone who wants to learn math in a fun and easy way. This course also includes a review section of algebra and trigonometry concepts. You'll refresh your knowledge and fill in any gaps before diving into calculus.What You Get:Comprehensive video lessons covering all Calculus I topicsInteractive assignments to test your understandingPrintable Calculus notes for offline studyStep-by-step solutions to practice problemsYou Also Get:Lifetime access to course materials, including future updatesCertificate of completion30-day money back guaranteeWe provide a variety of resources for different learning styles and paces. Whether you’re a visual learner, a hands on learner, or somewhere in between, our course has something for you. There are plenty of practice problems and step-by-step solutions. This allows you to apply what you’ve learned, build confidence, and see that calculus is not as hard as it seems.Unlock the secrets of calculus with our Calculus I course. For just $89.99 you'll get access to comprehensive lessons, interactive assignments, and step-by-step solutions. Don't wait to start your journey to mastering calculus. Enroll in our Calculus I course today!

Overview

Section 1: At The Highest Level

Lecture 1 Properties of Functions

Lecture 2 Linear Functions

Lecture 3 Polynomials

Lecture 4 Algebraic Functions

Lecture 5 Transcendental Functions

Lecture 6 Piecewise Functions

Lecture 7 Transformations

Lecture 8 Trigonometric Functions

Lecture 9 Inverse Functions

Lecture 10 Exponential, Logarithmic, and Hyperbolic Functions

Section 2: There's Room For One More

Lecture 11 Calculus

Lecture 12 Limits

Lecture 13 Limit Laws

Lecture 14 Squeeze Theorem

Lecture 15 Continuity

Lecture 16 Intermediate Value Theorem

Lecture 17 Evaluating Limits

Section 3: Down a Slippery Slope

Lecture 18 Instantaneous Change

Lecture 19 Differentiability

Lecture 20 Higher Order Derivatives

Lecture 21 Rules of Differentiation

Lecture 22 Trigonometric Derivatives

Lecture 23 Implicit Differentiation

Lecture 24 Exponential and Logarithmic Derivatives

Section 4: Call the Doctor

Lecture 25 Related Rates

Lecture 26 Linear Approximation

Lecture 27 Differentials

Lecture 28 Maxima & Minima (Critical Numbers)

Lecture 29 Mean Value Theorem

Lecture 30 1st Derivative Test

Lecture 31 Concavity

Lecture 32 2nd Derivative Test

Lecture 33 Limits at Infinity & End Behavior

Lecture 34 L'Hopital's Rule (Indeterminate Forms)

Lecture 35 Antiderivative

College Students: Especially those majoring in fields like engineering, physics, computer science, economics, or any other field that requires a strong understanding of calculus,Professionals in STEM Fields: Engineers, scientists, researchers, or data analysts who use calculus in their work and want to strengthen their skills.,Adult Learners: Individuals who are going back to school or are in need of a refresher course in calculus for their professional or personal development.,Teachers and Tutors: Those who are teaching calculus and want to deepen their understanding of the subject or explore new teaching methods.,Test Prep Students: Those preparing for standardized tests like the SAT, ACT, GRE, or GMAT that include calculus problems.,High School Students: Particularly those who are in advanced placement (AP) math classes or are preparing for college where they'll need a strong foundation in calculus,Aspiring Mathematicians: Individuals who have a passion for mathematics and want to delve deeper into calculus.