The main objective is that, upon completing the course, the student is well prepared for Calculus.  To that end, the student will obtain an in-depth understanding of, and the ability to solve high-level problems for, all of the so-called elementary functions of Calculus (includes inverse functions) from the geometrical, computational, and numerical points of view.  This goal includes MA.1, MA.2, MA.3, MA.7, MA.8, MA.9.

The student will be able to solve problems using various techniques from algebra, geometry, and trigonometry, including the different coordinate systems, parametric functions, and vectors.  This goal includes MA.4, MA.10, MA.11, MA.12, MA.13.  

The student will understand and be able to use sequences and series to solve a variety of practical problems such as (but not limited to) compound interest and population growth.  This goal includes MA.5, MA.6, DM.10.  

To support our Calculus-based Physics course, the student will have basic geometric and  intuitive understanding, and computational skills for both of the main Calculus operations:  the derivative and the integral.  

To support our Research course,  the student will be able to analyze data by performing and then analyzing data in both technical jargon and the student's own words a variety of statistical inference procedures.  These procedures include confidence intervals, regression, χ2 –tests, one and two sample t-tests, and ANOVA.  These objectives include PS.4, PS.5, PS.7, PS.18, PS.19, PS.20, PS.21.