| Instructor(s) | Dr. Keith Devlin |
| Offered by | Stanford University |
| Level | Intermediate |
| Duration | Approximately 4 weeks (10 hours per week) |
| Format | 9-module course |
| Language | English |
| Certificate | Shareable upon completion |
| Rating | 4.8 (2,998 reviews) |
| Learning Mode | Online – Self-paced |
Description
This course teaches learners to think like professional mathematicians, focusing on developing powerful cognitive processes rather than simply learning procedures to solve standard problems. Emphasizing “outside-the-box” thinking, it equips learners with the skills to approach real-world problems, scientific challenges, and abstract mathematical concepts in a structured and logical manner.
Learning Outcomes
By the end of this course, learners will be able to:
-
Develop deductive and logical reasoning skills.
-
Apply mathematical thinking to real-world problems and scientific contexts.
-
Understand mathematical theory and analysis.
-
Use calculus and mathematical modeling effectively.
-
Enhance problem-solving strategies beyond traditional school mathematics.
Skills You’ll Gain
-
Deductive Reasoning
-
Logical Reasoning
-
Mathematical Theory & Analysis
-
Mathematics and Mathematical Modeling
-
Calculus
Tools and Methods
-
Cognitive strategies for mathematical problem solving
-
Logical reasoning exercises
-
Mathematical modeling techniques
-
Analytical approaches to abstract and applied problems
Modules in the Course
| # | Module Title |
|---|---|
| 1 | Introduction to Mathematical Thinking |
| 2 | Logical Foundations and Deduction |
| 3 | Proof Strategies and Reasoning |
| 4 | Patterns, Functions, and Relations |
| 5 | Quantitative Problem Solving |
| 6 | Introduction to Mathematical Modeling |
| 7 | Applications in Science and Real-World Problems |
| 8 | Advanced Reasoning Techniques |
| 9 | Integration and Capstone Assessment |
Career Relevance
Provides foundational skills for careers in mathematics, computer science, engineering, data science, and logic-intensive fields.
Enhances critical thinking and problem-solving abilities applicable across academic, technical, and professional disciplines.
Certificate from Stanford University can be added to LinkedIn and professional profiles.

Courses you might be interested in
-
0 Lessons
-
In-Person workshop, Edinburgh
-
10 lessons