F17ZB - Mathematics for Data Scientists 2 Introduction to Calculus and Vectors

Course leader(s):

• Lehel Banjai (Edinburgh, September)

Syllabus

1. Introduction to Integration (1.1 Basic ideas and definitions. Anti-derivatives. Definite and indefinite integrals. Fundamental theorem of calculus. Area under a curve. Rules of integration and Table of Standard integrals. Infinite limits)

2. Data Handling and representation (2.1 Data, data averages and variation of data. Elementary probability. Laws of Probability. Probability distributions. Engineering, science and economic applications.)

3. Vectors (3.1 Basic Operations. Components. Multiply a Vector by a scalar. Three-Dimensional Coordinate Frame. Direction Ratio and Direction Cosine. Scalar Product or dot product.Vector Product or cross product. Triple Vector Product. Vector Equation of a line and a plane)

4. Computer Algebra System (4.1 Accurately and precisely input mathematical syntax into a computer algebra system)

Learning outcomes

By the end of the course, students should be able to do the following:

• evaluate integrals (definite, indefinite, improper) using standard techniques
• apply calculations using appropriate basic quantities within statistics and probability.
• apply calculations of vector arithmetic to compute quantities and/or equations of vector objects.
• interact with computer algebra system by inputting mathematical data in an accurate and precise manner
• apply the mathematical concepts for this course to various disciplines in physical sciences and engineering

Further details

Curriculum explorer: Click here

SCQF Level: 7

Credits: 7.5