Complete Guide to Calculus Foundations for Data Science

This course covers the essentials of calculus, focusing on limits, derivatives, and integrals.. With practical explanations and examples, instructor Megan Silvey guides you through the core concepts and skills required to work with functions, limits, derivatives, continuity, and integrals—just like a traditional university-level course. Along the way, develop a thorough understanding of limits, derivatives, and integrals and how to successfully perform calculations with each. This course is an ideal fit for data scientists and data professionals seeking to advance their knowledge of the tools used in their profession and develop a deeper understanding of the mathematical science that drives the world of data.

Learning objectives
Evaluate limits of various functions, including polynomial, rational, trigonometric, logarithmic, and exponential functions, using multiple techniques such as direct substitution, factoring, and the squeeze theorem.
Demonstrate proficiency in finding the derivatives of common functions and applying differentiation rules—including the product, quotient, chain, and power rules—to efficiently calculate derivatives.
Analyze the behavior of functions using derivatives, including finding extreme values, applying the Mean Value Theorem, solving optimization and related rates problems, and using techniques such as linear approximations, L'Hôpital's Rule, and Newton's Method.
Master integration techniques, such as substitution, integration by parts, and partial fraction decomposition, to evaluate both indefinite and definite integrals of various function types.
Apply integral calculus to solve real-world problems, including calculating areas between curves, volumes of solids, arc lengths, and solving problems related to work, energy, and probability.