MATH 121/6.0 Differential & Integral Calculus
Differentiation and integration of the elementary functions, with applications to physical and social sciences; Taylor polynomials; multivariable differential calculus. Intended for students planning to concentrate in subjects other than Biochemistry, Biology, Life Sciences, Mathematics or Statistics.
Calculus is a branch of mathematics that can describe precisely how one numerical output quantity changes in response to changes in one or more numerical input quantities. This is a general two-term calculus course, starting with a revision of high-school pre-calculus, and of the basics of single-variable differentiation and integration, and then moving on to more advanced topics, such as multi-variable calculus, differential equations, and various techniques of optimization. Students can take this course with or without high-school calculus experience. The course is not intended as a pure mathematics course, and so there is more of an emphasis on techniques and applications than on formal proofs.
At the end of this course a successful student will be able to:
- Demonstrate conceptual understanding and technical mastery of the following main areas of calculus and pre-calculus:
- Basics of algebra and arithmetic.
- Functions and graphs.
- Geometry and trigonometry.
- Differential equations.
- partial derivatives and vector calculus.
- Apply knowledge of the topics above to solve extended problems, both abstract and applied.
- Communicate and present such mathematical problem-solving skills, by combining explanatory English text with mathematical equations and graphs in a coherent and comprehensible way.
Experiential Learning Opportunities
Examples of previous ELOs for this course include coursework assignments at the Observatory Science Centre, Trigonometry practicums to determine the height of objects on the Herstmonceux Castle estate and a visit to the Winton Gallery, London.