Mathematical Analysis Courses and Certifications

全国大学生数学竞赛提高课程

掌握高等数学竞赛核心知识，通过历年真题讲解和系统化训练，提升数学分析能力和解题技巧，为参加全国大学生数学竞赛做好充分准备。

• XuetangX
• On-Demand
• Free Online Course

数学分析III

Master advanced calculus concepts including multiple integrals, line/surface integrals, Green's/Gauss'/Stokes' theorems, parametric integrals, and Fourier series with practical applications in mathematics and economics.

• XuetangX
• On-Demand
• Free Online Course

IIT Roorkee;  NPTEL

Mathematical Modelling: Analysis and Applications

1 review

Explore mathematical modeling in biological sciences, covering deterministic models, population dynamics, and analytical techniques. Gain skills in discrete and continuous time domains, with focus on graphical solutions and stability analysis.

• Swayam
• 4 weeks
• On-Demand
• Free Online Course

Advanced Calculus/Real Analysis with the Math Sorcerer

421 ratings at Udemy

Selected Topics in Advanced Calculus/Real Analysis with tons of Beautiful Proofs:)

• Udemy
• 7 hours 32 minutes
• On-Demand
• Paid Course

Wrath of Math

Hexagonal Pyramids and Rectangular Faces - Mathematical Misconception Analysis

Explore the mathematical confusion surrounding a teacher's claim that hexagonal pyramids have rectangular faces, examining possible misunderstandings and the correct geometric properties.

• YouTube
• 11 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Analysis and Mathematical Physics

Explore advanced mathematical physics through expert lectures on quantum systems, fluid dynamics, spectral theory, geometric analysis, and cutting-edge research from leading mathematicians and physicists.

• YouTube
• 3 days 8 hours 42 minutes
• On-Demand
• Free Video

Derivatives: a guide to calculation

Dive into the techniques and rules for calculating derivatives of any function, with examples, visuals, and digital tools like Geogebra, Wolfram Alpha, and ChatGPT to enhance understanding and application.

• Coursera
• 5 hours 29 minutes
• On-Demand
• Paid Course

Calculus: History and Concept (Live Online)

33 ratings at CourseHorse

Explore the origins and impact of one of mathematics’ most influential achievements, tracing its development across cultures and centuries.

• CourseHorse
• 12 hours
• On-Demand
• $335.00

Real Analysis

Explore mathematical analysis fundamentals: convergence, continuity, differentiability, and Riemann integral. Develop abstract thinking and proof construction skills while studying real numbers and limit operations.

• MIT OpenCourseWare
• On-Demand
• Free Online Course

Calculus 1A: Differentiation

Master the derivative concept, computation methods, and real-world applications in this comprehensive calculus course covering limits, geometric interpretations, and function optimization.

• MITx Online
• 14 weeks, 8-10 hours a week
• On-Demand
• Free Online Course

Transfer Functions and the Laplace Transform

Dive into the frequency domain and Laplace transform to understand mechanical and electrical systems, exploring transfer functions and system modeling with feedback loops.

• MITx Online
• On-Demand
• Free Online Course

Differential Calculus

Master the derivative concept, computation methods, and real-world applications in this comprehensive exploration of differential calculus.

• MITx Online
• 11 weeks, 6-10 hours a week
• On-Demand
• Free Online Course

Real Analysis

Master rigorous mathematical proof techniques while exploring real numbers, limits, series, metric spaces, differentiation, and integration in this foundational analysis program.

• MIT OpenCourseWare
• On-Demand
• Free Online Course

Joint Mathematics Meetings

Tensor Decomposition - A Mathematical Tool for Data Analysis

Explore tensor decomposition as a powerful mathematical tool for analyzing complex data structures, with applications in neuroscience, gas detection, and communication patterns.

• YouTube
• 47 minutes
• On-Demand
• Conference Talk

Wrath of Math

Comparing Large Exponents: 2016^17 vs 2017^2016 - A Mathematical Analysis

Dive into advanced exponent comparison techniques using calculus, logarithmic differentiation, and inequalities to solve complex mathematical challenges like comparing 2016^17 to 2017^2016.

• YouTube
• 14 minutes
• On-Demand
• Free Video