Mathematics

3 semester credits. In this course, students will be exposed to the foundations of calculus. They will engage in the study of limits, derivative rules, integration, and a variety of applications. Topics include exponential and logarithmic functions, trigonometric and inverse trigonometric functions, their derivatives, the Fundamental Theorem of Calculus, and area in the plane. The course has an extensive practical aspect, which consolidates theory by solving problems and exercises, and sketching graphs.

3 semester credits. This course features topics that demonstrate basic mathematical ideas used to analyze and problem solve questions of individual or societal need. Topics include mathematical logic, sets, counting techniques, probability, statistics, and geometry.

3 semester credits. In this course, students will be exposed to the foundations of calculus. They will engage in the study of functions in order to then identify how to define and employ limits of functions, derivatives, and integrals. The course has an extensive practical aspect, which consolidates theory by solving problems and exercises, and sketching graphs. The importance of calculus and the essential role it plays in many disciplines, such as physical and biological sciences, economics, and even social sciences, will be emphasized.

3 semester credits. This course serves to develop an understanding of calculus. The first half of the course focuses on the application of derivatives and integrals, including: limits at infinity and asymptotes, determining the volumes of solids, and exponential growth and decay. During the second half, emphasis is placed on differential equations, separable equations, logistic equations, sequences and series. Students will continuously bridge theory and practice, while becoming more familiar with the significance of calculus in the analysis of real life scenarios related to physics, economics, and sociology.

3 semester credits. This course provides a comprehensive preparation for the study of calculus. Students will develop fluency with algebraic, exponential, logarithmic, and trigonometric functions, along with the graphical and analytical tools used to model real-world relationships. Emphasis is placed on the careful construction of functions, asymptotic behavior, and curve sketching, culminating in an introduction to rates of change, slope, and the concept of the derivative. The course has an extensive practical aspect, which consolidates theory by solving problems and exercises, and sketching graphs. The importance of these foundations and their essential role in many disciplines, such as the physical and biological sciences, economics, architecture, and the social sciences, will be emphasized throughout. This course prepares students for Introduction to Calculus, including its opening review of functions and trigonometry.