This is the first part of a two-semester introduction to calculus covering functions, rates of change and differentiation as well as accumulation and integration. The course will study algebra and trigonometry as needed for the development of calculus concepts. More time will be spent in this course on the details of algebraic manipulation and the underlying algebra and trigonometry than in the one semester Math 155 course. At most 10 credit hours towards fulfilling objective 2 of the General Education Curriculum may be counted from the courses Math 126, 128, 129, 153, 154, 155.
The specific goals of this course will be to stress an algebraic, graphic, and numeric approach to the study of:
* the concept of function and families of functions
* using functions as models and applying modeling techniques to problem solving
* using the derivative as a tool to solve problems involving rates of change and more
* using the definite integral and area to solve problems involving accumulation, distance, and more
To accomplish these goals requires active student learning, not passive participation. Attendance is required and you will be required to engage in class activities as determined by your instructor. Most of these will be based on exercises from the text. These are intended to promote discussion of mathematical concepts and modeling and you are encouraged to share your ideas.
This course satisfies a GEC requirement in category 2 and in it you will be required to:
* Demonstrate mathematical skills
* Understand the nature and application of natural or physical sciences at a basic level sufficient to:
* Present data for analysis (e.g. using charts, graphs, tables).
* Perform mathematical calculations appropriate for data analysis
* Use abstract reasoning to interpret data
* Formulate and test hypotheses with scientific rigor
* Understand the complexities of scientific issues society, natural resources, and the environment.