G1800 Mathematical methods I with Maple

Prerequisites

3MX or equivalent

Course Objectives

Students will achieve knowledge about mathematical terms and formulations as well as skills in the use of mathematical models and their solutions.

Learning Methods

Lectures and exercises. 7 of the exercises will be organized as compulsory “mathematical laboratory work”.  

Course Description

The course consists of the following  topics :
Limits, continuity, derivative and rates of change, implicit differentiation, Newtons method, increments, differentials and linear approximation, fundamental theorem of calculus, Riemannsums and the integral, techniques of integration, applications of integrals, differential equations and mathematical models, directions fields and solution curves, separable and linear first order differential equations, Eulers method, second order differential equations with constant coefficients.

Assessment Methods

A. Maple-project (max three students per group) 40%. 
B. Final, written, individual examination: 
     Part 1 - 30% - all written and printed material permitted.
     Part 2 - 30% - all study aids permitted, including laptops with Maple.

Additional requirements:
The evaluation of at least one of the two individual  parts of the final examination must result in an E or better.
At least 5 of the 7 compulsory exercises must be approved.