Calculus for the Natural Sciences

In this textbook on calculus of one variable, applications to the natural sciences play a central role. Examples from biology, chemistry, and physics are discussed in detail without compromising the discussion of the mathematics essential to differential and integral calculus. Calculus for the Natural Sciences distinguishes itself from others on the topic by balancing theory, mathematical techniques, and applications to motivate students and bridge the gap between mathematics and the natural sciences and engineering, employing real data to convey the main ideas underlying the scientific method, and using Sagemath and R to perform calculations and write short programs, thus giving the teacher more time to explain important concepts This textbook is intended for first-year students in mathematics, engineering, and the natural sciences and is appropriate for the two-semester Calculus I and II (freshman calculus of one variable). It can also be used for self-study by engineers and natural scientists.