About this Course
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100% online

Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Intermediate Level

Approx. 12 hours to complete

Suggested: 15 hours/week...

English

Subtitles: English

100% online

Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Intermediate Level

Approx. 12 hours to complete

Suggested: 15 hours/week...

English

Subtitles: English

Syllabus - What you will learn from this course

Week
1
1 hour to complete

Matrices as Mathematical Objects

3 videos (Total 11 min), 2 readings, 3 quizzes
3 videos
Matrix Multiplication5m
Supplement: Matrices in Python/Numpy2m
2 readings
Vector and Matrix operations30m
Matrix Multiplication10m
3 practice exercises
Matrix8m
Linear combinations
Matrix Combinations
Week
2
1 hour to complete

Matrix Multiplication and other Operations

3 videos (Total 14 min), 2 readings, 3 quizzes
3 videos
Matrix Transpose5m
Supplement: Matrix Transpose in Python4m
2 readings
Matrix Arithmetic10m
Matrix Transpose10m
3 practice exercises
Matrix Operations4m
Matrix Transpose4m
Matrix Multiplication and Other Operations
Week
3
1 hour to complete

Systems of Linear Equations

4 videos (Total 15 min), 3 readings, 4 quizzes
4 videos
Solution of Linear Equations via Elimination2m
LU Decomposition: Matrix is a Product of Simple Matrices5m
Supplement: Solve Linear Equations in Python2m
3 readings
Systems of Linear Equations10m
Gaussian Elimination Algorithm10m
LU Decomposition10m
4 practice exercises
Systems of Linear Equations
Solution of Linear Equations via Elimination
LU Decomposition
Systems of linear equations
Week
4
1 hour to complete

Linear Least Squares

4 videos (Total 16 min), 2 readings, 5 quizzes
4 videos
Linear Least Squares: Best Approximation3m
Least Distance -> Orthogonality -> Normal Equations4m
Example: Approximate Curve Fitting4m
2 readings
Orthogonality and the Inner Product10m
Linear Least Squares10m
5 practice exercises
Orthogonality and Inner Product
Linear Least Squares
Normal equations4m
Approximate Curve Fitting4m
Linear Least Squares

Instructor

Daniel Boley

Professor
Computer Science and Engineering

About University of Minnesota

The University of Minnesota is among the largest public research universities in the country, offering undergraduate, graduate, and professional students a multitude of opportunities for study and research. Located at the heart of one of the nation’s most vibrant, diverse metropolitan communities, students on the campuses in Minneapolis and St. Paul benefit from extensive partnerships with world-renowned health centers, international corporations, government agencies, and arts, nonprofit, and public service organizations....

Frequently Asked Questions

  • Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

  • When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

More questions? Visit the Learner Help Center.