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Data Science · Year 1 · Foundations
S2 Calculus and linear algebra
Acquire the continuous mathematical tools on which all of statistics and machine learning depend.
191hours of coursework
20weeks at 10 h
3steps
9new courses
2universities
Target skills
- Derivatives, integrals, series and applications of single-variable calculus
- Vectors, matrices, determinants, eigenvalues, orthogonality
- Differential equations and vector calculus
- Numerical methods and scientific programming in MATLAB
Semester project
The Mathematics for Engineers capstone: numerical computation of the flow past a cylinder (Kármán vortex street).
Courses this semester
- 1The Hong Kong University of Science and TechnologyBeginner
Stated prerequisites: High-school mathematics
- 2Johns Hopkins UniversityBeginner
Stated prerequisites: Basic algebra (no calculus)
Show the 3 courses
Course Level Length Rating (reviews) Linear Algebra: Linear Systems and Matrix Equations Beginner 10 h 4.7 (183) Linear Algebra: Matrix Algebra, Determinants, & Eigenvectors — 15 h 4.8 (79) Linear Algebra: Orthogonality and Diagonalization Intermediate 9 h 4.8 (56) - 3The Hong Kong University of Science and TechnologyBeginnerMATLAB
Stated prerequisites: Single variable calculus and some computer programming ability
Show the 5 courses
Course Level Length Rating (reviews) Matrix Algebra for Engineers Beginner 20 h 4.9 (4,726) Differential Equations for Engineers Beginner 27 h 4.9 (2,251) Vector Calculus for Engineers Beginner 30 h 4.8 (1,425) Numerical Methods for Engineers Intermediate 40 h 4.8 (451) Mathematics for Engineers: The Capstone Course Intermediate 10 h 5.0 (45)
Reading
Calculus, Volumes 1 to 3OpenStaxWorked exercises for Calculus for Engineers: limits, derivatives, integrals.Free, CC BY 4.0
Introduction to Applied Linear Algebra (VMLS)S. Boyd, L. VandenbergheLinear algebra through data: least squares, regression, clustering. Bridges to year 3.Free PDF
Mathematics for Machine LearningM. P. Deisenroth, A. A. Faisal, C. S. OngPart I (linear algebra, analytic geometry, vector calculus) at the end of the semester; Part II is used in S5.Free PDF
Things to watch
- Calculus for Engineers comes first: Mathematics for Engineers assumes single-variable calculus.
- Install MATLAB (or GNU Octave) before the semester.
With Coursera Plus
This semester takes 191 hours, about 4 months at 10 hours a week. A Coursera Plus subscription gives access to most of its courses during that time.