Applications and Interpretation: Course description

- Mathematics: applications and interpretation will develop mathematical thinking, often in the context of a practical problem and using technology to justify conjectures.
- This course recognizes the increasing role that mathematics and technology play in a diverse range of fields in a data-rich world.
- It emphasizes the meaning of mathematics in context by focusing on topics that are often used as applications or in mathematical modeling. To give this understanding a firm base, this course also includes topics that are traditionally part of a pre-university mathematics course such as calculus and statistics.
- The course makes extensive use of technology to allow students to explore and construct mathematical models.
- Applications and interpretation is a course aiming to address the needs of students who enjoy seeing mathematics used in real-world contexts and to solve real-world problems.
- Applications and interpretation at HL is a course aiming to address the needs of students with a strong mathematical background, who get pleasure and satisfaction when exploring challenging problems, and who are comfortable undertaking this exploration using technology. The course gives great emphasis on modeling, statistics, and graph theory.
- Applications and interpretation at SL is a course aiming to address the needs of students who are weak in math and do not wish to undertake math after high school. The course gives a great emphasis on technology to solve practical problems.

The aims of all mathematics courses are to enable students to:

- develop a curiosity and enjoyment of mathematics, and appreciate its elegance and power
- develop an understanding of the concepts, principles, and nature of mathematics
- communicate mathematics clearly, concisely, and confidently in a variety of contexts
- develop logical and creative thinking, and patience and persistence in problem-solving to instill confidence in using mathematics
- employ and refine their powers of abstraction and generalization
- take action to apply and transfer skills to alternative situations, to other areas of knowledge, and to future developments in their local and global communities
- appreciate how developments in technology and mathematics influence each other
- appreciate the moral, social, and ethical questions arising from the work of mathematicians and the applications of mathematics
- appreciate the universality of mathematics and its multicultural, international, and historical perspectives
- appreciate the contribution of mathematics to other disciplines and as a particular “area of knowledge” in the TOK course
- develop the ability to reflect critically upon their own work and the work of others
- independently and collaboratively extend their understanding of mathematics.

##### Number and Algebra

##### Functions

##### Geometry and Trigonometry

##### Probability and Statistics

- Collection of data and sampling
- Presentation of data
- Measures of central tendency and dispersion
- Linear correlation of bivariate data
- Probability and expected outcomes
- Probability calculations
- Discrete random variables
- The binomial distribution
- The normal distribution and curve
- Further linear regression
- Hypothesis testing

##### Calculus

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