Below is a list of completely free online courses of Mathematics on Coursera.
Mathematics (55)

Calculus One from Ohio State University ★★★★★(46)

Introduction to Mathematical Thinking from Stanford University ★★★★☆(44)

Calculus: Single Variable from University of Pennsylvania ★★★★★(18)

Mathematical Biostatistics Boot Camp 1 from Johns Hopkins University ★★★☆☆(16)

Calculus Two: Sequences and Series from Ohio State University ★★★★★(10)

Calculus: Single Variable Part 1 – Functions from University of Pennsylvania ★★★★★(7)

Analysis of a Complex Kind from Wesleyan University ★★★★★(7)

Calculus: Single Variable Part 2 – Differentiation from University of Pennsylvania★★★★★(4)

Calculus: Single Variable Part 3 – Integration from University of Pennsylvania ★★★★☆(4)

Calculus: Single Variable Part 4 – Applications from University of Pennsylvania ★★★★★(3)

Statistical Reasoning for Public Health 2: Regression Methods from Johns Hopkins University ★★★★★(3)

Analytic Combinatorics from Princeton University ★★★★☆(2)

Fibonacci Numbers and the Golden Ratio from The Hong Kong University of Science and Technology ★★★★★(2)

An Intuitive Introduction to Probability from University of Zurich ★★★★☆(2)

Комбинаторика для начинающих from Moscow Institute of Physics and Technology★★★★★(1)

Теория вероятностей для начинающих from Moscow Institute of Physics and Technology ★★★★★(1)

Introduction to Complex Analysis from Wesleyan University ★★★★★(1)

Matemáticas y Movimiento from Tecnológico de Monterrey ★★★★★(1)

Pre-Calculus from Universitat Autònoma de Barcelona (Autonomous University of Barcelona)★★★★☆(1)

Çok değişkenli Fonksiyon I: Kavramlar / Multivariable Calculus I: Concepts from Koç University ★★★☆☆(1)

Improving your statistical inferences from Eindhoven University of Technology ★★★★★(1)

Single Variable Calculus from University of Pennsylvania

离散数学概论 Discrete Mathematics Generality from Peking University

Introduction to Galois Theory from Higher School of Economics

Линейная алгебра (Linear Algebra) from Higher School of Economics

Jacobi modular forms: 30 ans après from Higher School of Economics

Introduction to Enumerative Combinatorics from Higher School of Economics

微积分二: 数列与级数 (中文版) from Ohio State University

Геометрия и группы from Moscow Institute of Physics and Technology

Современная комбинаторика (Modern combinatorics) from Moscow Institute of Physics and Technology

Случайные графы from Moscow Institute of Physics and Technology

Теория графов from Moscow Institute of Physics and Technology

Álgebra Básica from Universidad Nacional Autónoma de México

頑想學概率：機率二 from National Taiwan University

頑想學概率：機率一 from National Taiwan University

3.- El Cálculo – Modelo Cúbico from Tecnológico de Monterrey

4.- El Cálculo – Otros Modelos from Tecnológico de Monterrey

2.- El Cálculo – Modelo Cuadrático from Tecnológico de Monterrey

1.- El Cálculo – Modelo Lineal from Tecnológico de Monterrey

Cálculo Diferencial e Integral unidos por el Teorema Fundamental del Cálculo from Tecnológico de Monterrey

5.- Cálculo Diferencial e Integral unidos por el Teorema Fundamental del Cálculo from Tecnológico de Monterrey

Статистические методы в гуманитарных исследованиях from Tsinghua University

Aléatoire : une introduction aux probabilités – Partie 2 from École Polytechnique

离散数学 from Shanghai Jiao Tong University

Применение производной и интеграла в курсе общей физики from National Research Nuclear University MEPhI

Structural Equation Model and its Applications | 结构方程模型及其应用 (普通话) from The Chinese University of Hong Kong

Structural Equation Model and its Applications | 结构方程模型及其应用 (粤语) from The Chinese University of Hong Kong

Invitation to Mathematics הזמנה למתמטיקה from Hebrew University of Jerusalem

Introduction to Ordinary Differential Equations from Korea Advanced Institute of Science and Technology

Introduction à la théorie de Galois from École normale supérieure

Doğrusal Cebir II: Kare Matrisler, Hesaplama Yöntemleri ve Uygulamalar / Linear Algebra II: Square Matrices, Calculation Methods and Applications from Koç University

Doğrusal Cebir I: Uzaylar ve İşlemciler / Linear Algebra I: Spaces and Operators from Koç University

Çok Değişkenli Fonksiyonlarda Türev ve Entegral II: İleri Konular ve Uygulamalar / Multivariable Calculus II: Applications and Advanced Topics from Koç University

Çok değişkenli Fonksiyon II: Uygulamalar / Multivariable Calculus II: Applications from Koç University

Estadística aplicada a los negocios from Universidad Austral