Advanced Calculus Mastery
Master the foundations and advanced concepts of calculus with our comprehensive course. This program covers differential and integral calculus, including limits, continuity, derivatives, applications of derivatives, integration techniques, and applications of integrals.
Perfect for university students, professionals seeking to refresh their knowledge, or anyone looking to develop strong analytical and problem-solving skills through mathematical thinking.
What You'll Learn:
- Comprehensive understanding of limits and continuity
- Master differentiation techniques and applications
- Advanced integration methods and strategies
- Real-world applications in physics and engineering
- Series and sequences analysis
- Multivariable calculus fundamentals
Course Curriculum
Module 1: Limits and Continuity
Introduction to limits, limit laws, continuity, and intermediate value theorem
Module 2: Derivatives
Definition of derivatives, differentiation rules, chain rule, implicit differentiation
Module 3: Applications of Derivatives
Optimization, related rates, curve sketching, L'Hôpital's rule
Module 4: Integration
Riemann sums, fundamental theorem of calculus, integration techniques
Module 5: Advanced Topics
Sequences, series, Taylor series, and introduction to multivariable calculus
Meet Your Instructor
Dr. Michael Thompson
Ph.D. in Mathematics from MIT with over 15 years of teaching experience. Dr. Thompson has helped thousands of students master calculus through his clear explanations and practical approach.
Student Reviews
"Exceptional course! The explanations are crystal clear and the practice problems really help solidify the concepts."
"This course transformed my understanding of calculus. Highly recommend for anyone serious about mastering the subject."