Sagacious, naughty and witty ever!
Course Objectives: This course provides an introduction to differential and integral calculus. The primary aims of the course are to help students develop new problem solving and critical reasoning skills and to prepare them for further study in mathematics, the physical sciences, or engineering. By the end of the course, students should acquire skills needed to compute limits by graphical, numerical, and analytical methods; mechanically calculate derivatives of algebraic and trigonometric functions and combinations of functions; use derivatives to sketch graphs and solve applied problems; evaluate definite and indefinite integrals; and use Maple to effectively to explore and solve calculus problems. In addition to the specific skill-oriented objectives above, students should have a better overall conceptual understanding of functions and their graphical, numerical, analytical, and verbal representations; understand derivatives as rates of change; understand definite integrals as accumulations of a rate of change and as Riemann sums; understand the relationship between derivatives and integrals; understand the difference between definite and indefinite integrals; have improved skills at problem solving and critical thinking: at dissecting a complex problem, determining steps in its solution, finding the solution, and testing whether it is reasonable; and be able to provide clear written explanations of the ideas behind key concepts from the course.