
Academic Year:  2015/6 
Owning Department/School:  Department of Mathematical Sciences 
Credits:  6 
Level:  Certificate (FHEQ level 4) 
Period: 
Semester 1 
Assessment Summary:  EX 100% 
Assessment Detail: 

Supplementary Assessment: 
MA10230 Mandatory extra work (where allowed by programme regulations) 
Requisites:  In taking this module you cannot take MA10208 . You must have grade A in Alevel Mathematics or equivalent in order to take this unit. 
Description:  Aims: To teach standard methods of differentiation and integration for scalar functions of one or several variables. To provide a solid foundation for the application of calculus, including solving particular classes of differential equations. Learning Outcomes: After taking this unit, the students should be able to: * Demonstrate familiarity with methods of differentiation and integration. * Recognise classical functions and know their derivatives and integrals. * Work with partial derivatives and compute double integrals. * Apply these methods in problems involving differential equations. Skills: Numeracy T/F A Problem Solving T/F A Written and Spoken Communication F (in tutorials) Content: Calculus of functions of one variable. Summary of rules of differentiation and basic integration techniques (fundamental theorem of calculus, integration by parts). Hyperbolic and trigonometric substitutions. Arc length, surfaces of revolution. Calculus of functions of several variables. Partial derivatives, critical points, chain rules. Double integrals over rectangular and nonrectangular domains. Triple integrals. Change of variable using Jacobian. Polar and spherical coordinates. Double and triple integrals in polar and spherical coordinates. Surface area and volume. Differential equations. Order. Statement of theorem on number of linearly independent solutions. General solutions. CF+PI. First order linear and nonlinear differential equations: integrating factors, separable equations, homogeneous equations, Bernoulli equations, exact equations. Second order linear equations: characteristic equations, real and complex roots, general real solutions. 
Programme availability: 
MA10230 is Compulsory on the following programmes:Department of Economics
