Learning Outcomes:
Students are expected to achieve the following competence:
• Finding the anti-derivative of a function.
• Calculating indefinite integrals of single-variable functions by mastering different techniques.
• Understanding the fundamental theorem of calculus.
• Calculating definite integrals of single-variable functions.
• Understanding and using the mean value theorem of integration.
• Achieving basic knowledge about differential equations.
• Solving some typical first and second order ordinary differential equations.
Indicative Module Content:
week 8 Anti-derivatives, different techniques of finding anti-derivatives.
week 9 Different techniques of finding anti-derivatives: trigonometric, rational, integration by parts, etc.
week 10 Indefinite integrals & Fundamental theorem of integration, definite integrals (with geometric meaning).
week 11 Techniques in treating definite integrals, the mean value theorem of integration.
week 12 Applications of definite integrals in practice.
week 13 Basic knowledge about differential equations, first order ordinary differential equations.
week 14 First order ordinary differential equations.
week 15 Second order ordinary differential equations.
week 16 Revision