Discovering Calculus With Mathematica

Discovering Calculus with Mathematica

Discovering Calculus with Mathematica?

An enrichman supplement to an otherwise traditional calculus course. Uses the Mathematica program as a tool to explore calculus beyond the level of rote calculations and template problems through multi-step structured laboratory assignments. Problems presented as tear-out laboratory exercises with space for students to show their work. No prior knowledge of Mathematica is required.

Discovering Group Theory

Discovering Group Theory: A Transition to Advanced Mathematics presents the usual material that is found in a first course on groups and then does a bit more. The book is intended for students who find the kind of reasoning in abstract mathematics courses unfamiliar and need extra support in this transition to advanced mathematics. The book gives a number of examples of groups and subgroups, including permutation groups, dihedral groups, and groups of integer residue classes. The book goes on to study cosets and finishes with the first isomorphism theorem. Very little is assumed as background knowledge on the part of the reader. Some facility in algebraic manipulation is required, and a working knowledge of some of the properties of integers, such as knowing how to factorize integers into prime factors. The book aims to help students with the transition from concrete to abstract mathematical thinking.