MO1901 Mathematics for ISSO

A brief survey of selected calculus and post-calculus topics -- single variable derivatives and integrals, infinite series and sequences, complex numbers, and Fourier series and transforms. (This course may not be taken for credit by students in an engineering or science degree program, nor may it be used as a prerequisite for any other mathematics course.) PREREQUISITE: None.

Lecture Hours

4

Lab Hours

0

Course Learning Outcomes

The goal for the course is to develop the mathematical skills to construct Fourier Series and Fourier Transforms. To accomplish this, students need to:

• Recognize the characteristics of linear, quadratic, polynomial, exponential, natural logarithmic, trigonometric and special functions (unit step function, the unit impulse function, and the rectangular function) and use them to model and solve applied problems.
• Recall the formulas for differentiating functions and apply them to compute derivatives.
• Calculate indefinite and definite integrals, using formulas, integration by substitution, integration by parts and the Fundamental Theorem of Calculus.
• Recognize complex numbers and their properties; convert between any of the forms (rectangular form, trigonometric form, exponential form) and combine complex numbers (add, subtract, multiply and divide).
• Construct Fourier series of simple periodic functions, verify the answer using graphs and understand the use of a Fourier series to approximate periodic functions.
• Compute Fourier transforms of simple functions, using the definition and/or a Transform Table.