BTL200 (Second Half)

In this second half of our course, we will focus on Linear Algebra. We will cover a number of topics, such as systems of equations, determinants, eigenvalues, and vector spaces, that will help strengthen and expand your core mathematical knowledge.


Calendar

Week 08

Systems of Equations

In this class students have an introduction to the second part of the course and its evaluation methods. Also, we will cover methods to analyze and solve systems of equations.

Slides
Activity 3a (2.5%)
Week 09

Matrices

In this class we cover Matrices, we will introduce its operations, properties, and discuss methods to invert matrices.

Slides
Activity 3b (2.5%)
Week 10

Determinants

In this class we cover determinants, we show how it can be calculated using different methods, and discuss some of its properties.

Slides
Quiz 3 (10%)
Week 11

Vectors

In this class we cover vectors. We will discuss properties of vector operations, define vector properties such as its norm, and we will also introduce the concepts of distance and dot product between two vectors.

Slides
Activity 4a (2.5%)
Week 12

Vector Spaces

In this class we cover vector spaces. We will introduce their definition, as well as that of subspaces. Also, we will discuss linear independence. Finally, we will cover the concept of basis of vector spaces and discuss how to perform basis changes.

Slides
Activity 4b (2.5%)
Week 12

Transformations, Eigenvalues, and Eigenvectors

In this class we discuss the geometrical interpretation of linear transformations. Moreover, we will introduce the concepts of eigenvalues and eigenvectors.

Slides
Quiz 4 (10%)
Week 14

Final Exam


Final Exam (25%)

Evaluation

Item Qtd Marks
Activities 4 (2) 5%/(20%)
Quizzes 4 (2) 10%/30%
Midterm 1 (0) 25%
Final Exam 1 (1) 25%

Important Dates

Quiz 3: July 19th
Quiz 4: Aug 9th
Final : Aug 13th


Academic Honesty

Make sure to learn and abide to Seneca's academic honesty policies. Not knowing a particular policy will never be accepted as a valid excuse.
Remember that, implicitly within every test, exam, and assignment you submit, you are stating that it contains your own work. The three most often scenarios of academic dishonesty are: using material obtained from the internet, using AI to generate your answers, and using material obtained from another student.