This preface outlines the main philosophy of the course, and serves as a guide to the
instructor. It outlines reasons for the organization of the material and why this works for introducing
first year students to the major concepts and many applications of the differential
Calculus arose as an important tool in solving practical scientific problems through
the centuries. However, in many current courses, it is taught as a technical subject with
rules and formulas (and occasionally theorems), devoid of its connection to applications.
In this course, the applications form an important focal point, with a focus on life sciences.This
places the techniques and concepts into practical context, as well as motivating
quantitative approaches to biology taught to undergraduates. While many of the examples
have a biological flavour, the level of biology needed to understand those examples is kept
at a minimum. The problems are motivated with enough detail to follow the assumptions,
but are simplified for the purpose of pedagogy.
The mathematical philosophy is as follows: We start with elementary observations
about functions and graphs, with an emphasis on power functions and polynomials. This
introduces the idea of sketching of a graph from elementary properties of the function,
before calculus is discussed. It also leads to direct biological applications that illustrate the
idea of which terms in an expression (polynomial or rational function) dominate at which
range(s) of the independent variable.
Practice makes perfect—and helps deepen your understanding of calculus
1001 Calculus Practice Problems For Dummies takes you beyond the instruction and guidance offered in Calculus For Dummies, giving you 1001 opportunities to practice solving problems from the major topics in your calculus course. Plus, an online component provides you with a collection of calculus problems presented in multiple-choice format to further help you test your skills as you go.
Gives you a chance to practice and reinforce the skills you learn in your calculus course
Helps you refine your understanding of calculus
Practice problems with answer explanations that detail every step of every problem
The practice problems in 1001 Calculus Practice Problems For Dummies range in areas of difficulty and style, providing you with the practice help you need to score high at exam time.