Welcome to the Math SCAN First Moodle page. All information will be available here regularly. Make sure to check it out !
COURSE GOALS
- Develop the ability to graph and perform calculus on real-valued functions, construct and solve linear systems set in a vector space framework.
- Apply linear algebra and advanced calculus concepts in order to solve and analyze mathematical model problems in a scientific and engineering context.
Concrete Learning Outcomes (CLOs)
- Derive an exhaustive properties panel of a real-valued function, including continuity, differentiation, local approximation, asymptotic behaviors, table of variation, and graphical representation.
- Gain an understanding about usual functions (polynomials, trigonometric functions, rational fractions, inverse functions such as ln and exp), their properties and how to compare them.
- Solve systems of linear equations using multiple methods, including Gaussian elimination and matrix inversion.
- Demonstrate understanding of the concepts of vector space and subspace, span, and basis.
- Apply principles of matrix algebra to linear transformations.
Relationship to Program Learning Outcomes (PLOs)
The Math SC1 PLOs are:
- Perform elementary calculus operations, rapidly and with ease, in order to solve academic mathematical problems (almost systematically), and later more complex problems.
- Solve a complex mathematical problem using analytical methods (calculations and/or graphical representation).
- Write clear logical progressions of precise mathematical statements to justify and communicate your reasoning.
- Pro-actively find mathematical solutions, using adapted tools and supports (theoretical and/or numerical).
- Recognize the relationships between different areas of mathematics and the connections between mathematics and other disciplines.