mathAdvanced
Advanced Mathematics: Calculus & Analysis
Master differential and integral calculus, real analysis, and multivariable functions through structured, concept-first teaching.
4.9(187 reviews)524 students2h 35m3 lectures
Lectures
42
Notes
18
Quizzes
12
Level
Advanced
About This Course
This comprehensive course covers the full spectrum of advanced calculus and real analysis required at the undergraduate level. Starting with limits and continuity, you will progress through differentiation, integration, series, and multivariable calculus. Each concept is introduced rigorously, then reinforced with worked examples and graded problem sets. By the end of this course, you will have the mathematical maturity to tackle higher-level topics in engineering, physics, and computer science.
What you'll learn
- Understand limits, continuity, and their formal epsilon-delta definitions
- Master differentiation rules and their applications
- Evaluate definite and indefinite integrals using multiple techniques
- Analyse infinite sequences and series with convergence tests
- Apply multivariable calculus to optimisation problems
- Build rigorous mathematical proof-writing skills
Prerequisites
- Basic algebra and trigonometry
- Familiarity with coordinate geometry
- Understanding of functions and graphs
CalculusReal AnalysisIntegrationDifferentiationMathematics
Curriculum
01Limits and Continuity0 lectures
02Differentiation0 lectures
03Integration0 lectures
04Sequences and Series0 lectures
05Multivariable Calculus0 lectures
Study Materials
Practice Quizzes
Instructor
Dr. Arjun Mehta