Welcome to the ClassJump site for all of my courses! I will use this site to post all assignments, class notes, solutions, and items of interest for each of my classes.

A rigorous calculus-based physics course is an essential requirement for every student in the field of engineering or the physical sciences. This course will provide you with the opportunity to apply calculus to the physical principles underlying the laws of nature. Major emphasis is on problem solving with laboratory work and class demonstrations to provide data for developing analytical models that can be understood and manipulated mathematically.

For students desiring to study mathematics, engineering, physics, or chemistry at the university level, linear algebra/matrix theory is an absolute requirement. Linear Algebra is the mathematical study of vectors and vector spaces (also called linear spaces). Matrices are widely used to represent the linear transformations that input one vector and output another. Currently, you have received a solid foundation in Calculus. The only REAL prerequisite for this material is a good knowledge of high school algebra. We have designated AB Calculus as a requirement because everyone will need strong algebra skills and good analytical ability. Linear Algebra has many practical applications, not limited to math/physics/engineering. It shows up in economics, logistics, finance, computer science, operations research, and lots of other disciplines.

For students desiring to study mathematics, engineering, physics, or chemistry at the university level, advanced calculus is an absolute requirement. Currently, you have received a solid foundation in Advanced Placement Calculus AB & BC. The material in these courses however, has generally been limited to one independent variable expressed in the form of y = f(x). Multivariable/vector calculus is used to describe phenomena that result from the simultaneous effects of many variables. For example, in the case of the ideal gas law from chemistry, the pressure of an ideal gas is a result of the number of moles of the gas, the volume of the container, and the temperature. We could express this as P = f(n,V,T). If all three are changed simultaneously, how is the pressure changed?

Pre-AP PreCalculus provides opportunities to study real numbers, functions and their graphs, trigonometric relationships, parametric representations, sequences, and series. This course provides the necessary foundation for advanced placement or college calculus. Extends and builds on the foundation for the Advanced Placement program. Includes all of the regular Precalculus course with extensions, both guided and independent, in the areas of symbolic logic, linear programming, applications of polar coordinates, and topics from discrete mathematics. Typically, after taking Pre-AP PreCalculus a student would take AP Statistics and/or AP Calculus AB.

Paschal
Dr. Stewart