The focus and themes of the Introduction to Calculus course address the most important foundations for applications of mathematics in science, engineering and commerce. The course emphasises the key ideas and historical motivation for calculus, while at the same time striking a balance between theory and application, leading to a mastery of key threshold concepts in foundational mathematics. Students taking Introduction to Calculus will: • gain familiarity with key ideas of precalculus, including the manipulation of equations and elementary functions (first two weeks), • develop fluency with the preliminary methodology of tangents and limits, and the definition of a derivative (third week), • develop and practice methods of differential calculus with applications (fourth week), • develop and practice methods of the integral calculus (fifth week).
Inverse circular functions
Skills You'll Learn
logic, Mathematics, Calculus
Reviews
Best instructor. Made calculus very approachable connecting topics, illustrating applications, and his enthusiasm (which is contagious). Wish he'd do follow-up courses for more advanced mathematics.
This is an amazing course. I loved the way the instructor used classic examples to explain calculus by helping us approach problems from the perspectives of Newton, Leibniz, and the ancient greeks!
This module introduces the notion of a function which captures precisely ways in which different quantities or measurements are linked together. The module covers quadratic, cubic and general power and polynomial functions; exponential and logarithmic functions; and trigonometric functions related to the mathematics of periodic behaviour. We create new functions using composition and inversion and look at how to move backwards and forwards between quantities algebraically, as well as visually, with transformations in the xy-plane.
Taught By
David Easdown
Associate Professor
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