Calculus Fundamentals
Dive deep into the world of calculus with our comprehensive 60-hour course covering limits, derivatives, integrals, and their applications in real-world scenarios. Perfect for students pursuing STEM fields and professionals looking to strengthen their analytical skills.
What You'll Learn:
- Limits and continuity
- Derivatives and differentiation rules
- Applications of derivatives
- Integration techniques
- Definite and indefinite integrals
- Applications of integration
- Series and sequences
- Multivariable calculus introduction
Course Overview
Calculus is the mathematical study of continuous change and is fundamental to understanding the physical world around us. This comprehensive course takes you through all major calculus concepts, from basic limits to advanced integration techniques.
Our 60-hour program is structured to build your understanding progressively, starting with fundamental concepts and gradually introducing more complex topics. Each lesson includes detailed explanations, multiple examples, and practical applications that demonstrate how calculus is used in physics, engineering, economics, and other fields.
The course features interactive visualizations to help you understand abstract concepts, step-by-step problem-solving demonstrations, and practice exercises with detailed solutions. You'll also get access to downloadable formula sheets and study guides.
Course Curriculum
Module 1: Limits and Continuity
- Understanding limits
- One-sided limits
- Continuity and discontinuity
- Limits at infinity
Module 2: Derivatives
- Definition of derivative
- Differentiation rules
- Chain rule and implicit differentiation
- Higher-order derivatives
Module 3: Applications of Derivatives
- Related rates
- Optimization problems
- Curve sketching
- Linear approximation
Module 4: Integration
- Antiderivatives
- Definite integrals
- Fundamental theorem of calculus
- Integration techniques
Your Instructor
Professor Michael Chen has been teaching calculus at the university level for over 20 years. With a Ph.D. in Applied Mathematics from MIT, he brings both theoretical expertise and practical insights to his teaching.
Professor Chen has authored several textbooks on calculus and has received multiple teaching excellence awards. His ability to break down complex concepts into understandable pieces has helped thousands of students master calculus and succeed in their STEM careers.