Calculus 1 Course: A Self-Paced High-Quality Study Guide for Differentiation – Complete preparation with Tasks & Quizzes
What you will learn
The Power Rule
The Product Rule
The Quotient Rule
The Chain Rule
Differentiation of Trig Functions, Inverse Trig Function and Hyperbolic Trig Functions
Derivatives of Exponential Functions
Derivatives of Logarithmic Functions
Implicit Differentiation
Logarithmic Differentiation
Differentiation of Parametric Functions
Higher order Derivatives
Description
Are you struggling to understand the topic Differentiation?
If you facing difficulty in solving Calculus questions and feel that you need to strengthen your basics in Differentiation, then this course is for you.
This course can make you perfect in writing the derivative of any given function.
It is a self-study course designed to get the student mastery over differentiation. It will teach you all the rules of differentiation step by step in small video lectures and give you command over differentiation in a few hours.
Note that this course only teaches how to find derivatives of a given function and not the Application of Derivatives.
There are separate lectures in each section on Trig functions and one can leave these lectures if not required in their curriculum.
This course covers
-Power Rule
-Product Rule
-Quotient Rule
-Chain Rule
-Differentiation of Trig Functions & inverse Trig Function and Hyperbolic Trig Functions
-Derivatives of Exponential Functions
-Derivatives of Logarithmic Functions
-Implicit Differentiation
-Logarithmic Differentiation
-Differentiation of Parametric Functions
-Higher-Order Derivatives
Why study Differentiation?
Differentiation is the essence of Calculus which is a gateway to nearly all fields of higher Mathematics. The essential idea behind Differentiation is to see how a small change in one variable will change a related variable. You cannot do Engineering, Modern Science, Biology, Economics, Business Mathematics, Statistics, etc. without having command over Topic Differentiation. This course is going to help you build a sufficiently firm grounding in the basics of the Differentiation topics at your own time and space and enable you to pursue your learning or career goals.
With this course you’ll also get:
– Full lifetime access to the course
– Complete support for any question, clarification or difficulty you might face on the topic
– Udemy Certificate of Completion available for download
– 30-day money-back guarantee
Feel free to contact me with any questions or clarifications you might have.
I look forward to seeing you in the course! π
Content
- Course Overview
- Embark on a focused journey into the foundational concepts of differential calculus, designed for independent learners.
- This self-paced program provides a structured pathway to master the art of finding rates of change and understanding curve behavior.
- Navigate through essential differentiation techniques with clear explanations and practical application exercises.
- Build a robust understanding of how derivatives unlock solutions to a wide range of mathematical and real-world problems.
- Experience a comprehensive learning environment that emphasizes conceptual understanding alongside procedural fluency.
- This course is your dedicated companion for building confidence and proficiency in calculus from the ground up.
- Requirements / Prerequisites
- A solid grasp of fundamental algebraic principles is essential for success.
- Familiarity with basic trigonometric identities and concepts will be beneficial.
- A willingness to engage with mathematical reasoning and problem-solving is key.
- Access to a reliable internet connection for digital resources is recommended.
- Basic calculator proficiency for numerical computations will be helpful, though not strictly required for all exercises.
- Skills Covered / Tools Used
- Develop the ability to analyze the instantaneous rate of change of functions.
- Acquire proficiency in systematically deriving complex mathematical expressions.
- Gain the skill to interpret the geometric significance of derivative values (e.g., slope of a tangent line).
- Enhance analytical thinking and problem-solving capabilities through calculus applications.
- Learn to deconstruct intricate functions into simpler components for differentiation.
- Practice using symbolic manipulation and logical deduction in mathematical contexts.
- Benefits / Outcomes
- Unlock the door to further study in advanced mathematics, physics, engineering, economics, and computer science.
- Develop a strong foundation for understanding concepts like optimization, motion, and related rates.
- Gain the confidence to tackle calculus-related problems in academic and professional settings.
- Empower yourself with the tools to model and analyze dynamic systems.
- Enhance your quantitative reasoning and critical thinking abilities.
- Achieve a self-driven mastery of a fundamental mathematical discipline.
- PROS
- Self-paced Flexibility: Learn at your own speed, fitting study around your schedule.
- Targeted Skill Development: Focus exclusively on differentiation for deep mastery.
- Actionable Learning: Practical tasks and quizzes reinforce concepts effectively.
- Conceptual Clarity: Designed for understanding, not just memorization.
- CONS
- Limited Instructor Interaction: Primarily self-guided learning, with less direct feedback.